diff --git "a/data/dm_maths/full_data_2/10974_11255.jsonl" "b/data/dm_maths/full_data_2/10974_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10974_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Divide -581917 by 57.\nAnswer: -581917\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + 5. Suppose -j = 22*w - 27*w. Suppose 2*p - 2*c = -w*c + 170, 5*c = -2*p + 175. 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 r(c) = 6*c. Let a(x) = -x**3 - 29*x**2 + 62*x. Let t be a(-31). Let j(f) be the second derivative of -2*f - 1\/6*f**3 + 0 + t*f**2. Give r(j(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.294109 - -0.2922. Round t to five decimal places.\nAnswer: -0.00191","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 113, 2, -104, 4, -4 in descending order.\nAnswer: 113, 4, 3, 2, -4, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*t + 12. Suppose 3 - t = -s. Suppose s*y - 4*y - 2 = 5*v, 0 = y + 2. Solve n = -v*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 - 11?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 218*m + 141*m + 1654 - 1638. What are the prime factors of t(4)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2 (c) 36 (d) 4 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5851 - 3947. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 16668383.\nAnswer: 3333676.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21293 and 10425652.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 771163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 4348*s + 8712.\nAnswer: -4*(s - 2)*(s + 1089)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -1.1 (b) 1 (c) 2\/17 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -6, -1, 1 in ascending order.\nAnswer: -18, -6, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 1 = 6*z + 4*n, 2*z + 5*n - 11 = 0. Sort z, 1\/4, 1\/2 in ascending order.\nAnswer: z, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*n + 336. Suppose -h - 3*h = -2*o + n, 0 = 2*o - 5*h - 87. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k - 5*k)*(-5*k + k - k) + 0*k**2 + 4*k**2 - k**2 - 3*k**2 + k - k.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-1 + 4\/6). Let w(q) = -q**2 - 10*q - 8. Let v be w(u). Does 15 divide 4\/10 + v\/((-15)\/(-1749))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2*-1)\/((-12)\/54). Suppose u = -3*k - 3, 2 = 5*p + 2*k. Suppose -2*z + 0*i - 5*i = -34, z = -p*i + 18. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -62735*d - 66510. Let o(k) = -5228*k - 5542. Let c(z) = 35*o(z) - 3*q(z). Differentiate c(w) with respect to w.\nAnswer: 5225","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41*(4\/(-22))\/(100\/(-550))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -62. Let i = -33 + x. Which is the nearest to -4? (a) -2\/9 (b) i (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*i - 378*i - 6 + 5.\nAnswer: -117*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155 + -152. Solve 4*j + o = -3*u, -5*j - 7 = 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 3*i**2 + i - 3. Let a be t(3). Suppose -r = r + 4, a = 3*v + 3*r - 2895. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 179, 8, -3?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.93667ng to micrograms.\nAnswer: 0.00893667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1610, 3371, 5288, 7361, 9590, 11975?\nAnswer: 14516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1198 or 1197?\nAnswer: 1197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2 + 108459*f + 50101740 = 0. Calculate f.\nAnswer: -35685, -468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 4. Let x = -0.3 - -0.8. Let o be (-3)\/4*(-3 + -1). What is the second smallest value in x, a, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from cyejboc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -964904+-0.2\nAnswer: -964904.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5. Suppose 4*x - i - 14 = 0, -2*x + 9 + 5 = -r*i. Suppose -x*q = -f + 63, q - f = f - 16. Round q to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 7*c + 3*i = -6, -c = -4*i - 17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 24 = -w, -y - 5*w + 251 - 261 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 276001 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (141*f**3 - 46*f**3 + 143*f**3)*(2 - 3*f + 4*f + 1) to the form m*f**2 + x*f + h*f**3 + q*f**4 + v and give q.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -6. Let i be (k - 0)*3 + 142. Suppose -4*v + r + i = -126, 61 = v - 2*r. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 534, -4, -3 in descending order.\nAnswer: 534, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 9*b - 12. Calculate j(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720992.\nAnswer: 2, 22531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.27123 rounded to zero decimal places?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 9. Let x(r) be the first derivative of r**4\/4 - r**3 + r**2 + 5. Calculate x(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 40 = -0*t. Let l = t - 6. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60451\/7932 + -25\/661. Suppose -4*g + 12 = 2*n - 3*n, 0 = -2*g - 3*n + 20. Find the common denominator of a and g\/(-6)*426\/(-32).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/14)\/(9\/24). Let x = -9045 - -9047. Let u = 0.18 - -0.02. Sort 0.5, x, g, u in ascending order.\nAnswer: g, u, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 48 - 224. Let f be -10*(-5 + y\/(-27)). Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75231496 divided by 112622.\nAnswer: -668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 5*o - 4*s - 21, 6*o - 2684*s + 2677*s - 65 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2533311000 rounded to the nearest 1000000?\nAnswer: 2533000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 1. Suppose 3*a = 2*t - 4, -6*t + 5*t + a + 1 = 0. Let v(s) = 26*s. Calculate t*v(f) - 2*n(f).\nAnswer: -28*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19907.783 and 24375.27.\nAnswer: 4467.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2352*l + 2352*l - 60*l**2)*(-3*l**2 + 3*l**2 + 4*l**3).\nAnswer: -240*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5 = 1. Suppose -4*y + 5*x - 4*x = -h, 1 = -2*y + x. Suppose 0 = -r - 2*r + 3*g - 69, y*g = -r - 20. What is r rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, o: 3}. What is prob of sequence co?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*57.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 1 + 11. Let x be (h - 4) + (4 - -3). Suppose -x*c + 101 = -9. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 126909 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6604442, -13208878, -19813314?\n\"Answer: -6604436*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49287312 and 912728?\nAnswer: 49287312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1031 divided by 5\nAnswer: 1031\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 246\/16 - (-43 - (-5015)\/85)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 + 133. Calculate the remainder when f is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*n + 21*n. Solve n = -3*d - d - 5*z - 36, 20 = -5*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from {j: 1, y: 1, a: 1, r: 1, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 8*a**2 - 4*a**2 - 2*a**2. Let s(u) = 17*u**2. What is t(s(v))?\nAnswer: -3757*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 7*q = 8*q - 512, 0 = i - 4*q + 110. Sort -1, -4, i, -3.\nAnswer: i, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 189294391 and 4?\nAnswer: 757177564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -85*k. Let q(a) be the first derivative of -3*a**2 - 31. Give q(c(v)).\nAnswer: 510*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -567, -565, -563, -561, -559?\n\"Answer: 2*m - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -18, -20, -24, -30, -38?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(136)*2)\/(-1*sqrt(8)*-1).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 13*i - 10 = 0. Let s = 7 - 4. Solve 0 + d**2 - d**s + d**2 - 4 + d**i = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2121, 2122, 2123, 2124, 2125, 2126?\n\"Answer: w + 2120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 9, 52820 in ascending order.\nAnswer: -6, 9, 52820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1093258.\nAnswer: 2, 71, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15 and 27\/691.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/11 - 2*-1. Suppose 4*s - 5*k - 16 - 9 = 0, -2*s = -4*k - 14. Solve -i + s + a = o, -4*o = -16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + h**2 + 3*h - 4. Let a be s(2). Let k(d) = -107*d**3 + 3*d**2 + 3*d + 1. Is k(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 2*i - 2*i**2 + (-6 + 3 + 2)*(i**2 + 3*i**2 + 2*i**2))*(-3 + 1 + 3) in the form k + l*i**2 + w*i and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from dvunvlpl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 - -1.1. Let n be (-12)\/270*5*(-4 + 2). What is the closest to f in 0, n, -12?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w + 2*w**2 + 2 + 0*w**2 - 2*w. Let t be (-13)\/208 + 316\/(-64). Let b(y) = -3*y**2 + 6*y - 2. Determine t*b(c) - 6*f(c).\nAnswer: 3*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2738 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2d3 (base 16) to base 9\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2731146*h*q - 1530688*h with respect to q.\nAnswer: -2731146*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1. Let l(v) = -v - 1. Let s(n) = -4*n + 8. Let a(q) = -2*l(q) + s(q). Suppose -5*z + d - 10 = 0, 4*z + 3*d - 14 + 3 = 0. Determine z*a(x) - 10*m(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.8 and -0.276000112?\nAnswer: 0.523999888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + o + 1. Let j(l) = -4*l**2 - 10*l + 5. Let p(d) = 3*f(d) + j(d). What is the units digit of p(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t + 6. Let q(y) = y**2 - 9*y + 16. Let n be q(6). Let b be x(n). Suppose 0 = -u - o + 18, b = 2*u + 2*u - 2*o - 48. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p**2 + 2*p**2 - 4*p**2 + 2*p**2 + 10*p**2 - 28*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/7))**(8\/7))**(-1)*(r\/(r*r**(-1))*((r*r**4*r)\/r)\/r*r)\/(r*r\/((((r*r**(-1)\/r)\/r)\/r)\/r)*r)**23 assuming r is positive.\nAnswer: r**(-7579\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-6))\/(2\/(-426)). Let j = n + -43. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 539*27.\nAnswer: 14553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 884 and 15691.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/((-494)\/(-19)))\/(18\/(-4)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1226999 to three dps.\nAnswer: -0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v**2. Let n(d) = 90709*d**2. What is r(n(f))?\nAnswer: 74053104129*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-6\/13)*f)\/(f*((f*f*f**(1\/8))\/f*f*f)\/f) assuming f is positive.\nAnswer: f**(-165\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 224325325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 13. Let t be k(7). Suppose -5*p + 3*p + 6 = 0. Suppose 0 = p*c - c - t. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2536 + 4b9?\nAnswer: -2039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.3 - 4. Let b = -0.8 + f. Suppose c + j + 4 = -0*c, -2*j = 3*c + 10. Put 0.2, c, b in decreasing order.\nAnswer: 0.2, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -6*t + 12*t + 21 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -17*k + 8. Let g(o) = 8*o - 4. What is -13*g(j) - 6*m(j)?\nAnswer: -2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -371 + 371.0462. Round a to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 + 173 = -22*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001457010719 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 897 - 516. Is q*4\/33 - 4\/22 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -23*s - 11. Let v(t) = 15*t + 7. Let d(u) = u - 5. Let p be d(0). Suppose -5*i + 35 = -5*w, 14*i - 15 = 2*w + 13*i. Give p*q(n) + w*v(n).\nAnswer: -5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s. Let g(c) = 189 + 198 - 387 - 79*c. Calculate b(g(p)).\nAnswer: -316*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.5 - -1.4. Let i = b - -2. Let q = -1.1 + i. Put 0.3, q, 3 in decreasing order.\nAnswer: 3, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 17 = 5*i, -2*w - 4 = 3*w - 2*i. Let g = -233.5 + 233. What is the closest to g in w, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 4*a + 3. Let l be v(5). Suppose 0 = -2*t + t + l. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwppp. What is prob of sequence ppxw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10212210101012 + 0?\nAnswer: -10212210101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 130*m + 5957. Calculate z(-48).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4 - 166. Suppose g - 43 = 5*l, -4*l = 2*g - l - j. Solve 0 = -2*q + 5*b + g, 3*b = -3*q + 1 + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21227 + 20733. Is v at most as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5 = 2*h. Is (-10059)\/(-14)*2\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -254 - -468. What are the prime factors of v?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (23\/(161\/(-42)))\/(-1 - 1). Let i(m) = 16*m**2 + m - 6. Let n be i(s). Suppose -3*u - n = -4*t - 4*u, -2*u - 24 = -t. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2780, -2775, -2770, -2765?\nAnswer: -2760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61522838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (51 + -13)) + 1 + 15 + (-2 - 8).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.425839 years to millennia.\nAnswer: 0.000425839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.18151 + -1.81849. Let z(o) = -6*o**3 + 2*o**2 + 2*o + 1. Let u be z(-1). Which is the second biggest value? (a) u (b) s (c) 2 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15573 or -15572?\nAnswer: -15572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i - 3*i + 102 = -i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2 - 2. Let f = -180 + 177. Let g(t) = -t**2 - t. Let x(a) = -6*a**2 - 3*a. Let c(b) = f*g(b) + x(b). What is c(u(i))?\nAnswer: -48*i**4 - 48*i**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -225730.\nAnswer: -1\/45146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18276 or 13092?\nAnswer: 13092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 + 28*p + 21*p - 55*p - 3 + p**3. Let m be t(-4). Let i be 2 + (19 - -2) + -1. Solve 4 + i = -s + m*d, s = -d + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -6*l**5 - 50*l**4 + 60*l**3 + 180*l**2 - 310*l + 126 = 0.\nAnswer: -9, -7\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1951870 and 491910?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -379360 in 4, -1\/7, -0.2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, n: 3, i: 4}. What is prob of sequence rnn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2238 + 3144. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 4. Let s be c\/3*(-1 - 2). Find the second derivative of -a + s*a + 0*a - a**3 wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -264 + 650. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-1)))**(-1\/5))**41*((m**1)**32)**18 assuming m is positive.\nAnswer: m**(2839\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 348047838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 865409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48 + 3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/8 of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 64*y + 44. Let a(f) = 168*f + 133. What is 3*a(c) - 8*p(c)?\nAnswer: -8*c + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**5 - 6*x**4 - 24*x**3 = 0?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4497577 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13806 a multiple of 354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 221009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 467*z**7\/21 + z**4\/3 - 73*z**3\/3 - 169*z. Find the third derivative of s(u) wrt u.\nAnswer: 56040*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -0.4 (c) -1.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/20 - (5\/4)\/(-5). Suppose -2*y - 29 = -i. Let s be (-1 + (-10)\/y)\/(-2). Which is the smallest value? (a) -0.1 (b) s (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0647681 decades to centuries.\nAnswer: 0.00647681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -2, -1, 4.\nAnswer: -3, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3583, -1, -3, 1, 19, 4 in decreasing order.\nAnswer: 19, 4, 1, -1, -2, -3, -3583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*l + 41, -2*d + 5*l - 1 = 2*l. Let t(f) = -f**2 + 9*f - 10. Let p be t(d). Solve 5 = -r + 2*v, 4*r - p*v - v = -20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*p**2*v + 4*p**2 + 3*p - 2*v**4 wrt v.\nAnswer: 33*p**2 - 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 2*f**2 - 38*f + 3. Let l be k(-7). Calculate the highest common factor of 400 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*i**2 - 1534*i**3 - 1535*i**3 - 1524*i**3 - 1533*i**3 + 7655*i**3 - 1526*i**3.\nAnswer: 3*i**3 + 74*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8133579298 to the nearest integer?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 + 7*c - 3. Let x(k) = -47*k**2. Calculate v(x(a)).\nAnswer: -4418*a**4 - 329*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 113199, 112829, 112445, 112041, 111611, 111149, 110649?\n\"Answer: -u**3 - u**2 - 360*u + 113561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 200, 0, -8, 5, -4 in descending order.\nAnswer: 200, 5, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 135011.93 - 134399. Let y = i + -617. Round y to one dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**2 - 319*y + 6. What is x(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, t: 4, v: 1, a: 4}. Give prob of picking 2 a and 2 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1118 + -1117.9. Let j = 0.19 - 0.13. Which is the nearest to q? (a) -4\/3 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/112 in -1, 1\/2, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120312 by 2.\nAnswer: -60156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a**3 + 5*a**2 - 2*a + 6. Let d(z) = 17*z**3 - 12*z**2 + 5*z - 14. Calculate -6*d(u) - 14*o(u).\nAnswer: -4*u**3 + 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17520 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 3*p - 4. Let d(n) = -n + 1. Let m be d(6). Calculate r(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/8*(-2)\/15?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1388615*c**3 - 813791*c**2.\nAnswer: -8331690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 778, 1862, 3660, 6166, 9374, 13278?\n\"Answer: -i**3 + 363*i**2 + 2*i + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1018464\nAnswer: -1\/1018464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 - 43429*h**2 + 5833*h**2 - 12619*h**2 - 26*h**3.\nAnswer: -22*h**3 - 50215*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/61, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**5\/120 - 11*j**4\/12 + 121*j**3\/3 + 23*j**2. Determine w, given that r(w) = 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 29 = 13. Let f be (-752)\/14 - (-6)\/y. Is (-4)\/18 + (-20370)\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 - 518400*v**3 - 13437964760*v**2 - 53745638400*v - 53743564880.\nAnswer: -5*(v + 2)**2*(v + 51838)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2, 1, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(l**3 - 3*l**3 + 4*l**3)*(-l - 5*l + 4*l) + 69*l**4 + 62*l**4 - 141*l**4.\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12768)\/1197*(-2 - 1)\/1. Solve 39*x + 163 = -k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = f, n + 4*f - 13 - 17 + 14 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -48. Suppose f + x - 5 = 0, f + 4*x = -f + m. What is the units digit of ((-5)\/f - -1)*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)\/t**(2\/5))**(-7\/4)\/((t**(-1\/4)\/t*t)**(1\/6)\/(t\/((t*t*t\/(t**(-3)\/t*t))\/t*t)*t**4*t)) assuming t is positive.\nAnswer: t**(1139\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50197\/2490 + -3\/415. Find the common denominator of x and ((-475)\/225)\/(4\/3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3 + 8*x**2 + 13*x + 6 = 0?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 401380 a multiple of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = f + 2*w, 4*f = 2*w - 45 + 213. Solve y + 9 = -y + 3*m, 5*y = -5*m + f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.3 times 0.48\nAnswer: -11.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*m = -10, 0 = -5*p + 2*m - 3*m + 48. Let t be 10354\/p + (-56)\/140. What is the highest common divisor of t and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-31)\/((2 - 3)\/((-5)\/(-5))) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i**2 - i - 2. List the prime factors of d(-3).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 21 + (-1827)\/(-84)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/3 - (-420)\/45. Suppose a - 12 = 7*g - y*g, -3*a - 3 = 0. What is the remainder when 25 - (2 + 2\/(-2)) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5559.\nAnswer: 3, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*f + 2 = 0, 2*l = 4*l + 3*f + 2. Suppose -s - l*d = -0*d + 3, 3*s = 3*d + 27. Suppose 0*v + 20 = s*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 3*d - 3*d)*(0*d + 5*d + 0*d)*(-21 - 80 - 25).\nAnswer: -1260*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 379128\/19 > 19953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*sqrt(270) - sqrt(270))\/(sqrt(810)*3).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 739, 2943, 6605, 11719, 18279?\nAnswer: 26279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight thirds of a minute in seconds?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t = -5*b + 14*t - 29, -3*b + t - 15 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 324, 10, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 7*i. Let h = -0.3 - -2.3. Let u = h - 1.5. Put 1, i, u in increasing order.\nAnswer: i, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78033.5 rounded to the nearest 1000?\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45135 and 590.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/8 of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 26*z = -1278. Suppose -5*g + z = 126. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 18*c = -50. Solve -3*y - 9 = 0, v + 8 = -c*y - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 913117 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -23. Suppose -s + 6*s - 20 = 0, 21 = 3*a + 3*s. What is the remainder when y is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 - 45. Suppose v*g = 5*g + 30. Suppose 3*k + 38 = 2*r - 0*r, -3*r + 3*k + 63 = 0. What is the highest common factor of r and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54578*x = 54445*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 198239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.17 and 0.6095.\nAnswer: -0.103615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7015*k**2 + 4*k - 671*k**2 - 3382*k**2 + 0*k - 4*k.\nAnswer: -11068*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*k + 23*k + 5490 = 5*k for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 123 - 189 = 0. Let v = 115 - j. Suppose 5*z = 13 + v. Solve 0*c = -5*c - z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 3, t: 1, j: 4, w: 2}. What is prob of picking 1 w and 1 t?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 736150549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848*r = 841*r - 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 4:12 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1 + 2*q)*(0*q**3 - q**3 + 2*q**3 + (3 - 1 - 5)*(-2*q**3 - q**3 + 2*q**3)).\nAnswer: 8*q**4 - 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.912 - -1.08095?\nAnswer: 13.99295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 3698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*t + 696 = -226*t - 1202 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 1. Let u be (-1 + 7)\/(j - 1). Suppose -15 = u*y - 45. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*u**2 + 10*u**2 + 9*u**2)*(2*u + 5*u - 5*u)*(-4 - 2 - 1).\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 20\/(-15) - 20\/(-2))\/(91\/(-21)).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 - 21*b**2 + 59*b - 5*b**2 - 62*b.\nAnswer: -31*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/323491 and -74\/6825.\nAnswer: 315403725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70010 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37255.\nAnswer: 5, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 133600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*w**2 - 2*w + 2*w - 22*w**2 to the form s*w + y + f*w**2 and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 9:30 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 32. Let k = p + -37.83. Let i = k - 0.246. What is i rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-32)\/20)\/4 + 92\/(-20). Let s = -2 + 5. Suppose -19 = -4*x - 3*o, x - 5 = -o - 0. Sort x, t, s.\nAnswer: t, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 0*b**4 + 0 + 0*b + 1\/10*b**5 - 1\/3*b**3 - b**2. Differentiate c(g) with respect to g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -584.8 - -581.334. What is h rounded to 1 dp?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3 = 4*u + 11, u = -f - 4. Let x(w) = w**3 - 14*w**2 - w + 18. Let y be x(14). Let v be y*(7\/(-42) + (-4)\/u). Is -14\/3 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15 from 549105.5535704.\nAnswer: 549120.5535704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -6. Let w = -13 - a. List the prime factors of (3\/w)\/((-9)\/540).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 7*n**3 - 7*n**2 - 5*n + 11. Let q(v) = -9*v**3 + 9*v**2 + 6*v - 12. Let g(t) = -5*a(t) - 4*q(t). Determine g(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(14)\/(sqrt(7) - (sqrt(7) - -3*sqrt(343))))**2 - (-5*sqrt(288)*4)**2).\nAnswer: -50803639\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3801*g. Let r(y) = -13*y - 8*y + 27*y - 2*y - 7*y. Determine l(r(z)).\nAnswer: -11403*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5 - 0) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x - 31. Let c be a(-6). Suppose -3*h + 5 = -c*o + 10, 0 = 3*o + 2*h - 22. What is the closest to -1 in 5\/4, o, 6\/17?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -6. Suppose -5*j = 2*u + 5, -u + 5*j + 0 = -v. Suppose 5*q + 16 - 196 = u. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 4*h + 10*h - 2*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31550*q + 550 + 530 = -31597*q - 941 for q.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*s**2*t**4 - 63*s**2*t + 2*s*t**3 - 2*s*t**2 - 3*t**4 wrt t.\nAnswer: 528*s**2*t + 12*s - 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5 - 14\/5*l + 6\/5*l**2.\nAnswer: 2*(l - 2)*(3*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3 + 2. Let g = -1\/1013 - 1006\/7091. Which is the third smallest value? (a) x (b) -2\/11 (c) 12 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31321202030313 - 2?\nAnswer: 31321202030311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 83160251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 10*b**2 - 8*b + 8. What is c(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46424*r + 390 = 46398*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**6\/600 - 4*c**5\/75 - 11*c**4\/24 - 4552*c**2. Factor l(r).\nAnswer: -r*(r + 5)*(r + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12187705*o + 552*o**3 - 12187705*o.\nAnswer: 552*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + 1)**2 - (sqrt(612) - 2*sqrt(612))**2 - (-4*sqrt(153)\/sqrt(9) - (sqrt(17) - sqrt(2057)*5)).\nAnswer: -30*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 262 - 2093\/8. Let y = 803522\/27 - 29760. What is the second smallest value in d, -0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**5 + 33*a**4 + 95*a**3 + 127*a**2 + 82*a + 18. Let m(f) = f**2 - f**4 - 4*f + 7*f - f**5 - 1 - 2*f. Let s(y) = -2*m(y) + o(y). Factor s(p).\nAnswer: 5*(p + 1)**3*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*p + 16. Let j be (-2)\/20*p\/4. Let q = -0.4 + 0.1. Which is the second biggest value? (a) 0.4 (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6758 by -42287.\nAnswer: 6758\/42287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-one fifths of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 22 and -5585 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a. Let d(c) = c + 1. Suppose 0 = -0*p + p + 6. Let l = p - -5. Let x(n) = 5*n + 4. Let j(h) = l*x(h) + 4*d(h). What is z(j(t))?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, e: 11, q: 1}. Give prob of sequence eemq.\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -102 + 102 - 15*k. Let o(l) = -2*l**2. Give o(q(h)).\nAnswer: -450*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 9 + 3 - 12*a.\nAnswer: -10*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 1\/105*u**5 - 11\/3*u**4 - 158*u**2 + 0*u + 0 + 1694\/3*u**3. Find d, given that h(d) = 0.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 40*y + 52. Determine q(-18).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2. Suppose -j - 5*g + 8 = 0, -4*g + 20 = 5*j + g. Let t be (j + -6 + 3)*-1. Let m(a) = -a + 4*a + t*a - a. Determine m(b(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1584\/17 + 4735\/51. What is the nearest to 367 in 0.1, -3, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 8*t + 2*t. Suppose -5*y + 0*y + 3*v + 10777 = 0, -3*y - t*v = -6451. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1292*f + 1361*f - 14185 + 38062 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**2 - 17*i - 9. Let g(z) = 3*z**2 + 36*z + 6. Let r(x) = 2*x**2 + 23*x + 4. Let y(d) = -5*g(d) + 8*r(d). What is -2*m(k) - 9*y(k)?\nAnswer: -k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c - c + 3*c - 3*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/450 and -83\/1377585?\nAnswer: 13775850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**25)**7 assuming n is positive.\nAnswer: n**175","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*f**4 - 21*f**5 - 22*f**4 + (-3*f**4 + 2*f**4 - 6*f**4)*(-2*f + 2*f + 2*f).\nAnswer: -35*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 21*b**2 - 26*b - 13. Let m be r(-17). Suppose -5*u + m = -5*t - 0*t, -3*t = -2*u + 949. Let q = -213 - t. List the prime factors of q.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 4*n + 0*n - 8. Let z be o(6). Suppose -z*q + 2*q + 134 = 2*t, 4*q - 337 = -5*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = a - 22, 0 = -2*a + 4*j + 101 - 41. What is a rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(5) + 5*(sqrt(80))**2 - (-2 + 1*sqrt(5))).\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 10. Let j(m) = -m**3 - 7*m**2 - 2*m + 6. Let q be j(t). Calculate the remainder when 12 is divided by 1*-2 + q\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, 3, 5 in increasing order.\nAnswer: -8, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 53 + (-14 - 1) + (83 - 82)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5729 - -5696. Sort n, -6, -2 in ascending order.\nAnswer: n, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(77)*-1)\/sqrt(11).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 4*y - 1. Let v(p) = -p - 1. Let x(m) = -4*v(m) - z(m). Let i = -35 + 35. Let t be x(i). What is the second smallest value in t, 3\/4, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14915 - -14920. Let r be 4\/16 + 47\/4. Solve p*t = 2*t + r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*2)\/sqrt(8))\/((-2*sqrt(80))\/sqrt(10)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 104257855 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120 - -114. Let x be a + 4 + 1 + (-734)\/(-1). Suppose 3*p - 5*m - x = 0, -6 = 2*m + m. List the prime factors of p.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1100652\/143 or -7698?\nAnswer: -1100652\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((251625\/1050)\/(-305))\/(2\/(-4*1\/1)).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1.6234492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j. Let c(y) = -y**2 + 5*y + 3. Let g be c(5). What is the lowest common multiple of 996\/45 - 6*4\/180 and t(g)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -b - 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -1154.\nAnswer: 2308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 + 8.83. Let m = -8.3 + q. Round m to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/23 + 32\/161. Let o = 4 + -7. Sort h, 8, o.\nAnswer: o, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*7 + -6 + 7. What is the tens digit of 78\/f*(-10)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d + 301. Let a(k) = 13*k. What is w(a(i))?\nAnswer: 26*i + 301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/3 + 16\/3*r + 10*r**2 - 16\/3*r**3 + 2\/3*r**4.\nAnswer: 2*(r - 4)**2*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 91.81\nAnswer: -5.5086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*m + 280, r = 3*m - 2*m - 92. Suppose 0 = l - 4, 0*z + 4*z - 3*l = -m. Let w = 44 - z. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -1 + 14)*(2 + 0). Let c = -26 + t. Let j = 2 - 2. What is the second biggest value in j, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3 + 63*n**2 - 189*n - 255 = 0. What is n?\nAnswer: -1, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16726.\nAnswer: 2, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2. Let r(u) = -2709*u**2 - 4*u + 160. Give r(s(d)).\nAnswer: -10836*d**4 - 8*d**2 + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*d = 42*d - 1250 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(-7*(-66)\/504)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 140*i - 61. What is the tens digit of o(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3292602 and 5844921.\nAnswer: 11049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 755454 less than -249945?\nAnswer: -1005399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 89, 86, 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 457?\nAnswer: 3656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48723 - 1813147\/37. Let n = -281 - r. What is the second biggest value in n, -0.5, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 52244295?\nAnswer: 52244266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/((-12)\/(-64)). Let v(b) = -b - 1. Let x be v(3). Let d = x + f. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 13 = 213. What is the highest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.8 + -19.2. Let r = q - -25. Let v = 0.2 + -0.1. What is the closest to v in 4, r, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178825, 362688, 546551, 730414?\nAnswer: 914277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/7 (b) -0.4 (c) -1407\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11732 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 91659*u - u**2 + 137 - 91659*u - 1515 in the form d + r*u**2 + f*u and give d.\nAnswer: -1378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -32. Let r be (p - 6)*((-1)\/4 + 0). Let s(i) = -2*i + 4. Let f be s(3). Which is the closest to r? (a) -4 (b) f (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 376*b**2 - 51*b**4 + 3*b**4 + 8*b**5 - 454*b**2 - 118*b**3 - 16*b = 0. What is b?\nAnswer: -1, -1\/2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2. Let b(s) = 144*s. What is w(b(j))?\nAnswer: -62208*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -235 - -1?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 164311 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**(-7)*f\/f**(2\/3)*(f*f**(3\/4))\/(f**5*f) assuming f is positive.\nAnswer: f**(-107\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**16\/m*(m*m\/m**(3\/2))\/m*m)\/(m**(-2\/69)*m**(-20)) assuming m is positive.\nAnswer: m**(5317\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (0 - 2 - -2). Suppose 4*i = -2*p - 5 + 15, 0 = -p - 5*i + 5. Solve -p*m - 20 = 4*b, -z*m + 5*b = 2*m - 25 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3845113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*k**5 - 3*k**4 + 8*k**3*m - 2*k**3 - 6*k**2*m - 2*k + 521*m wrt k?\nAnswer: -2220*k**2 - 72*k + 48*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 t, and 1 h when three letters picked without replacement from {t: 2, h: 2, p: 5, b: 1, u: 4}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 g when four letters picked without replacement from gddggggg.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 850351 is divided by 2049.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889 a factor of 116653306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-213 - -56 - -95).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*s**2 + 9*s**2 + 8*s**2 + (-2*s - 3*s + 3*s)*(-5*s + 3*s + 3*s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z + 59. What is the tens digit of r(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*w = 181*w - 134481. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-16279)\/(-9) + (-17)\/(-918)*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 103 = b, 5*b + 94 = x + 545. Calculate the remainder when b is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1454 and 0.\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, -10, 1 in decreasing order.\nAnswer: 66, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c - 3*x + 5 = 0, -4*c + 2*x + 10 = 0. Suppose 4*p - 19 = -c*g, -g - 5 = p + 2*p. What is the second derivative of 3*f - 5*f + g*f**5 - 15*f wrt f?\nAnswer: 140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*l + 0*l - 2*l)*(1 - 2 + 2) - 14*l - 8*l + 3*l)*(0 + 0 - l) to i + r*l + b*l**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**5 + 5 - 5)*(-9 + 6 - 4 + (-2 - 1 + 1)*(0 - 2 - 2))*(2 + 0 - 5).\nAnswer: -3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-8))\/((-4)\/988). Suppose k*i - 256*i = -225. Solve -2*w - 2 + 7 = -3*y, 0 = -3*y - 2*w - i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2599392 and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 + 2.7691037640509.\nAnswer: 2.8091037640509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/((-336)\/100))\/(1\/(4\/(-3))).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*g - 13725 = -14609 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5395112, 10790223, 16185334?\nAnswer: 21580445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/13 in -2\/7, 17112, -0.64?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/16*(-115180)\/18606.\nAnswer: -65\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*d**2 - 28*d**2 - 31*d**2)*(4 - 4 - 3)*(4 + 0 - 5)*(-33*d**3 + 26*d + 1 - 26*d).\nAnswer: 396*d**5 - 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**6 + 201*h**5 - h**3 + 2*h**2 + 882*h - 2?\nAnswer: 360*h**3 + 12060*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*s**2)**(4\/11)\/(((s\/s**(2\/3))\/s**(2\/3))\/(s\/s**(-1\/2))**(-2\/37)) assuming s is positive.\nAnswer: s**(-136\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1625011 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 25549.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 m when four letters picked without replacement from mamaaaaaaama?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1412 - 917. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l - 161. Let b be d(-17). Let r(p) = -p**3 - 9*p**2 - 4*p - 10. Determine r(b).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojoojoooojo. Give prob of picking 3 o.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from joojoojojojjjjoj. What is prob of picking 3 o?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -4522?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 28. Suppose -5*z = -4*z - w. Let a be (2 + (-12)\/8)*z. Solve a*u - u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 - 21422940*y**3 - 22947096489230*y**2 + 45894257247300*y - 22947139335125.\nAnswer: -5*(y - 1)**2*(y + 2142295)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*q - 5*q. Suppose 2*o = -0*o - 108. Let v = q - o. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 147 + -8. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.1 + 7.5. What is the closest to 2 in t, -1\/4, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 300 + -294. Solve 1 = -q*v + 7*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/5 + 405652*f**3\/5 - 81130*f**2.\nAnswer: -2*f**2*(f - 202825)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 337138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182547462?\nAnswer: 2, 3, 17, 1789681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 0 + 99*v**2 + 0*v - 1\/300*v**6 + 7\/60*v**4 + 0*v**5 - 2\/5*v**3. Find p, given that l(p) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(735) + 3*sqrt(735) - (sqrt(75)*-1)\/sqrt(5))\/(-2*sqrt(605)*2 - -4*2*sqrt(605)).\nAnswer: 29*sqrt(3)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18346 is divided by 6113.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28663?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1432, -1415, -1382, -1333, -1268?\n\"Answer: 8*o**2 - 7*o - 1433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1407554 and 18194.\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t - 18. Let d(v) = -v**2 + 7*v - 15. Let j be d(t). Is j\/(-3) + 94 - -1 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -79, -255, -527, -901, -1383, -1979, -2695?\nAnswer: -3537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 575*s + 4*s**2 + 570*s - 1136*s.\nAnswer: 4*s**2 + 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1287921495 divided by -47.\nAnswer: -27402585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(500)*-2)*1 + -4)*-5 + 1)**2.\nAnswer: 1200*sqrt(5) + 50036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 21, 3, -1\/3, 0.12, 0.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6987000 a multiple of 680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2796840 and 117778040?\nAnswer: 1060002360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 534436817 and 6?\nAnswer: 3206620902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + m + 120 = 20*f, 0 = 3844*m - 3840*m + 112 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -52205 divided by 53\nAnswer: -985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 12 = 2*m. Suppose 2*j = -m, -8*h - 2*j - 5 = -3*h. What is the units digit of h*(25 - 3 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2030 - 2050) + (1 - 8).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 153.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 149 + -1?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - -2.4. Which is the closest to 3? (a) 1\/7 (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -1115488?\nAnswer: 1115485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*z + 203*z = -203*z + 3*r - 65, -5*z + 16*r - 345 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 306. Let u be 1*(2 + -1 + -1). Let n be o(u). List the prime factors of n\/16 - (-2)\/(-16).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2 + 111*k - 7. What are the prime factors of v(8)?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 - 136?\nAnswer: -136.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -49 - (-6 - 1).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9096054 is divided by 205.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*v + 27 = 0, -3*t + 29 = -2*v - 2*v. Suppose 2*o + t = 1. Sort o, -9, -4, -2 in decreasing order.\nAnswer: o, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 73 = 2*v, -2*v - f + 35 = -v. What is the highest common divisor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -18\/5*d**3 + 8\/5*d - 14\/5*d**4 + 0 + 24\/5*d**2 = 0.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*w - 0*w. Suppose 0 = -4*h - w*g + 20, -h + 4*g = -4*h + 11. Calculate the greatest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)*g)**(28\/5)\/(g*((g\/((((g**(2\/9)*g)\/g)\/g)\/g)*g)\/g)\/g)**(-6\/25) assuming g is positive.\nAnswer: g**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 203121320 (base 4) in base 6?\nAnswer: 3035212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6131?\nAnswer: 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnqninidn. What is prob of sequence di?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - 5. Let w = 31 - x. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 - 12)*(-1 + 0). Suppose -3*u - 2*d = 1, z*d + 29 = 9. Suppose c = u*c - 58. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 4 - 2*w - 13 - 7 - 30.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 590026?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -9. Find the third derivative of p**3 - p**3 - 12*p**2 + 9*p**2 - p**s wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 9 + 23. Suppose -m = 3*m - h. Let t = 7 - 4. Solve 0 = -t*f + 10 + m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -x - 5, j - 6 = x - 4. Is -4\/1389 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 3*d**2 + d + 1. Let i be (8\/6)\/(20\/(-30)). Let h be x(i). Is 1\/((-1)\/(-42)*h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(832)*5 - sqrt(832))*4 + -5 + 2.\nAnswer: -3 + 384*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5253.\nAnswer: 3, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 26*k - 28. Does 7 divide w(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1377)\/612)\/(1\/3*(-9)\/14).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 - -118. What are the prime factors of h?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 3*z**2 - 4*z + 2. Let u be k(2). What is the greatest common divisor of 686 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a century in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 + 43*s**2 - 6*s - 6. Let p(v) = v**2 + v + 1. Let q(k) = -c(k) - 6*p(k). Find the third derivative of q(l) wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g - 12. Let j be (-8)\/(((-6)\/2)\/(-3)). Let b be q(j). Suppose 8 = b*r - 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 27 = 3*a. Suppose 14 = 5*p + 2*r, 0*r = -4*r + 8. Suppose 5*o + p*o = 301. Calculate the remainder when o is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 divided by -91?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.67106 + 0.32894. Which is the closest to -22? (a) 4 (b) -0.1 (c) -1.1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118771 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**4 - 10780*f**3 + 64815*f**2 - 97290*f = 0. What is f?\nAnswer: -2162, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 51694380*v - 103388740.\nAnswer: -5*(v + 2)*(v + 10338874)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, m: 1, w: 2, e: 2, i: 8, x: 1}. Give prob of sequence mx.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 1, -18, 9 in descending order.\nAnswer: 9, 3, 2, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a832 + 3?\nAnswer: -7a82a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 149 - -561606?\nAnswer: 561753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 68 - 52 + 200*k - 599*k - 52.\nAnswer: -399*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10825.8 - -10822. What is the biggest value in c, 1, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 12*b + 88 = 0. Put b, -11, 5 in descending order.\nAnswer: 5, b, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 + (-22)\/(-8). Suppose -4*i + 31 = 3*t, i - t - 14 = -m*t. Suppose 0 = -4*j - i*c + 28, -2*j - 4*c + 0 = -18. Sort j, -1, 3.\nAnswer: -1, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5354553 and -174.\nAnswer: -174.5354553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 203592 or 203563?\nAnswer: 203563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*y - 18 = -0, -4*x - 3*y - 36 = 0. Let i(z) = 2*z + 8. Let f be i(x). Which is the closest to 2? (a) -0.1 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55210*x + 13122 = 54724*x for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-162)\/(-189)*(-26)\/(-4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -198 * -1.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.21 - 0.14. Let r = 19 + -14. Let t = r + -6. Put 0.4, t, u in descending order.\nAnswer: 0.4, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-1 + -1) - 0. Let v be 1 + (-1)\/(i\/(-15)). Suppose 3*s - v = 15. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**3 - 7*v**2 - v - 7. Let g(s) = s**2 + 1. Let y(q) = 2*f(q) + 14*g(q). Find the second derivative of y(x) wrt x.\nAnswer: 84*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) 3 (c) -18\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 105. Let x = -99 - w. What is the derivative of -26*s**x + 3 - 4 + 2 + 17*s**2 wrt s?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3205.742 years?\nAnswer: 38468.904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/3*404*(-372)\/(-751440).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**5 + 192*z**3 + 918*z**2 + 1539*z + 810.\nAnswer: -3*(z - 10)*(z + 1)*(z + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**3\/3 - 11*h**2\/2 + h. Let u be d(12). Let b = u + -3. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -385, -1, -979, 1.\nAnswer: -979, -385, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 1876*s**2 + 4*s. Let c be h(-4). What is c rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 565 and 5975101.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -7\/2179, 4, -5, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23168 divided by -26.\nAnswer: -11584\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 72\/32)*(-4 - 735596). What is w rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5920 and 19973858?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1010 = -1010. Solve -4*o - 24 = 0, 4*y + 6 = -o - l*o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)\/x)**(-12\/11)\/(x**(2\/5)\/x**(-2\/9))*(x\/(x\/(x*x*x**(2\/3)\/x*x))*x\/x**(-3))\/(x**1)**16 assuming x is positive.\nAnswer: x**(-3848\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -206 - -200.66. Let j = 5.339977 + h. What is j rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-55)*552\/2208?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (1\/(-3))\/(6\/18). Suppose -2*h + 5*p = 6, 3*h + 3*p + u = 13. Solve h*o + 15 = 5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 440574712.\nAnswer: 4846321832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.807346 and 57.95.\nAnswer: 55.142654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -928 - -702. Is -226 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c7 + 2?\nAnswer: 1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 711 = 3*n, -2*t + 3*t - 5*n - 129 = 0. What is the third derivative of -t*r**2 - 46*r**4 + 15*r**4 + 10*r**4 - 58*r**4 wrt r?\nAnswer: -1896*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1412, -2765, -4076, -5333, -6524?\n\"Answer: 2*n**3 + 9*n**2 - 1394*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 1. Let s(c) = c**3 - 2*c**2 - 5*c - 2. Determine 2*l(a) - s(a).\nAnswer: -a**3 + 5*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3042627484?\nAnswer: 2, 13, 131, 446657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - 20. Let a be c(-7). Which is greater: 2\/159 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/7 + 3876*n\/7 - 99424\/7.\nAnswer: -2*(n - 1912)*(n - 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-42) - ((-6)\/(-20))\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*q + 3, -5*u - 15 - 10 = 0. Let s(d) = -d**2 + 10*d + 5. Let n be s(8). Let p = n - 11. Solve -3*f + q + p = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwww when four letters picked without replacement from wwiiwwiiwwiwwiwi?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16921922?\nAnswer: 2, 67, 293, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/32)\/(30\/8)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(a\/(a\/((a\/(a\/(a*a*a*a**(-2\/7))))\/a*a))*a))\/a)\/((a\/(a*a*a\/(a*a**(2\/5)*a*a)))\/a))**29*a*a**3*a**(-2)*a**(-1\/8)\/(a\/a**2) assuming a is positive.\nAnswer: a**(-24483\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 11559*q + 402999. Calculate n(35).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -5991?\nAnswer: -5991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150 - -148. Let m = 1.94 + -6.94. Suppose 2*y - 3 = 3*y. What is the closest to l in m, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (-1*(sqrt(192) - sqrt(192)*-1)*4)**2).\nAnswer: -73758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -60225 in descending order.\nAnswer: 2, -1, -60225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 17 = 1. What is the greatest common factor of u and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 0*c + 0*c**3 + 1\/15*c**5 + 0 - 7*c**2 + 0*c**4. Factor n(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*k - 229*k - 5*i + 445 = 0, 0 = -k + 2*i + 92. What is the highest common divisor of 990 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232758.2688 rounded to the nearest ten?\nAnswer: -232760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 i when three letters picked without replacement from ggiggigiigggi.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50566169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/27664 and 15\/52.\nAnswer: 27664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*sqrt(224)*-2)\/((sqrt(8) - 3*sqrt(8)*1) + sqrt(360)\/sqrt(5)))*-3.\nAnswer: 6 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*m = -187*m - 36 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2 = 17. Suppose -2*h - l = 2*l - 15, y*l + 3 = h. What is the derivative of h - 1 - v**2 + 4*v**2 wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 118*g - 572. What is the remainder when 1816 is divided by d(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -6*x + 21. Suppose x = s + 77. Does 7 divide s\/10*(-10)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 4*b + 7. Let w = -11 + 18. Suppose 0*n - 35 = -w*n. Determine q(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31208 - -14?\nAnswer: -311b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95910, 95938, 95966?\nAnswer: 95994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -316 - -317. What is the second biggest value in -1, -5, -3, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*p + 388 - 440 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 2*u + 748*u**2 - 4*u + 5*u - 752*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1361*o - 2467. Calculate the remainder when 6119 is divided by u(2).\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219436 is divided by 954.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/3 (b) 2 (c) -245576\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 5. Let o be r(-9). Let j(m) = -m - 18. Give j(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-121)\/(95590\/(-3081)))\/(6\/20).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 2*c. Let k(z) = 5072*z**2 - 10155*z**2 + 5078*z**2 - 4*z. Calculate 3*k(d) + 7*x(d).\nAnswer: -d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 23*o - 6. Suppose t + 6 = 3*t. Let f be a(t). Let m be 4\/12 + 26\/3. Calculate the highest common divisor of m and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-2 + 0) - (-267 - -18). Suppose -3*o + w = -2*p, 0 = 3*p - 5*p - 5*o - 271. Is (p\/(-80))\/(0 + (-2)\/(-120)) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 3\/58 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 24*z + 756. Give s(42).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - f - 42, -f + 2*f = 0. Let r be 12 - 23 - (0 + -3). Let s = r - m. Calculate the lowest common multiple of 20 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 0 + 0)*(0 + 11 + 1)*(668 + 651 - 1358) to y*x + a and give y.\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r. Let n(a) = -23*a - 41. What is n(d(x))?\nAnswer: -46*x - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 2:51 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*c + 23. Let v be (6*(-2)\/14)\/(c\/(-21)). Is 2 a factor of -2 - ((-38)\/v + (-1)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9401*k = 9406*k + 2*l + 286, 6*l = 2*k + 128 for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -291.66 + 288.66. Let m be 0 + 0 - 6\/10. Which is the nearest to 7\/6? (a) m (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**2 + 1481 - 3*a**2 - 6*a**3 - 22*a**3 + 30*a**3 as i + r*a**2 + x*a**3 + l*a and give i.\nAnswer: 1481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r**2 - 159*r + 113. Give a(-23).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**3 - 2179*i**2 - 10667*i - 1833. Determine q(368).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(68) - (1 + sqrt(68) + sqrt(68))**2))*5 - (sqrt(2448) + -3*sqrt(2448) + (sqrt(85)\/(sqrt(5) - sqrt(45)) - sqrt(17))).\nAnswer: -1365 - 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2022003130 (base 4) to base 3\nAnswer: -1001201200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -61, -140, -261, -430?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t**8*t)*t))\/t*t*(t**20*t)\/t)**(-9\/5) assuming t is positive.\nAnswer: t**(-252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*t**4*x**3 + t**3*x**3 - 2*t**3 + 20*t**2*x**3 + 2*x**3 wrt t.\nAnswer: 336*t*x**3 + 6*x**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**2 + 27*j - 12. Let s be u(-10). Find the first derivative of 13*c**4 + 8 + s*c**4 - 7*c**4 wrt c.\nAnswer: 52*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 28715.\nAnswer: -3\/28715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 4*x + 12*f + 4532, 3*x + 2*f + 3397 = 0. Let q = -1 + 1. Is (1 - q)\/((-3)\/(x - 2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2, 786.\nAnswer: -5, -4, 2, 786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 12*r - 11. Let c be f(-10). Let m = -12 + c. What is the second biggest value in 3\/4, -0.097, m?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, l: 1, z: 2, g: 2}. Give prob of picking 1 g, 1 l, and 1 o.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 15, 11 = 2*s - 34*y + 36*y + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + k - 1313 = 0, 4*k + 3 = 5*k. Let t = -260 - s. Sort -26, -3, t, 4 in increasing order.\nAnswer: -26, -3, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8861632951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 546*x**5 - 124851*x**2 - 82374357*x wrt x?\nAnswer: 10920*x**3 - 249702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k - 3*k**2 + 2*k**4 - 4*k**3 - 7*k + 2*k**3 + k**2 + 3*k as x*k**4 + d*k + n*k**2 + l + c*k**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 110 = 387*f - 392*f, -f = 3*u - 41 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 43. Sort i, 4\/7, -0.1, -1\/2 in descending order.\nAnswer: i, 4\/7, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Let b = 27766 - 27762. Solve -2*h - b*l + 1 = -3*l, -n*h - 1 = -l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 1507 = 3*p - 1423, 5*p = m - 97 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2162*r**5 + 74*r**4 - 1456*r - 8?\nAnswer: 43240*r**3 + 888*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2. Let u(m) = 4150*m**2. Determine u(r(n)).\nAnswer: 37350*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1919819 - 3938819. What is a rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 4 - -6*2. Suppose -1 - 11 = 2*d + 3*r, -4*d + 5*r = -20. Let j be (-140)\/(-15) - (1\/3 - d). Which is smaller: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2539*n**2 - 1214*n**2 - 1701*n**2 + 1111*n**2 as k*n**2 + d*n + w and give k.\nAnswer: -4343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17544 divided by 1032\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/9518752 and 65\/3924?\nAnswer: 85668768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -23. Let j be (14\/m)\/(8\/(-12)). What is the greatest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -11. What is the smallest common multiple of x and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*-1*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/7 (b) 65\/51 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4863545 + 31?\nAnswer: -4863514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 6:14 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30.45 and 2.\nAnswer: 60.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**4\/4 + i**3 + i**2\/2 + i + 3. Let c be b(-2). Factor 14*v + c*v**2 - 10*v - v**2.\nAnswer: 2*v*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/20 (b) 0.3 (c) -56 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d + 2. Determine y(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (0 + -1)*2. Suppose 4*w - 5*w = n - 1, 0 = -x*n - 5*w + 9. Let r = 7 + n. What is the remainder when 5 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five quarters of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39373 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + h**3 + 18*h**3 + 2*h.\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 424, -0.2 in increasing order.\nAnswer: -0.2, 2, 424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g**16\/g)*g*g\/(g**6*g*g)*g)\/(g**(-3)\/g*(g*g\/(g\/(g*g**4)))\/g*g) assuming g is positive.\nAnswer: g**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(15\/5)\/(-78).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4385932 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 13 + 0*j**2 - 23\/12*j**4 - 28*j + 0*j**3. Let p(c) be the first derivative of o(c). Let z(m) = -2*m. Give z(p(w)).\nAnswer: 46*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202 - -1021110210?\nAnswer: 1021112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5988089.\nAnswer: 859, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c = -2. Suppose c*d + 8 = -2*d. Is 1*76\/(d - -6) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222 and 413586?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -1220*v - 1. Let d = -114 + 115. Let j be g(d). Let k = j + 1786. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 - 1 + 17*h**2 + h**2 - 4*h**2 as o*h + b + j*h**2 and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2. Suppose 0 = 26*r + 9*r - 7*r. Let v(i) be the first derivative of 14 - 5\/3*i**3 + r*i**2 + 0*i. Calculate x(v(g)).\nAnswer: 50*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.71 + 0.41. Put y, -0.3, 1 in descending order.\nAnswer: 1, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623974 >= -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x - 14*x - 6*x - 6*x + 27*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c\/((c*c\/(c\/((c*c**0)\/c)))\/c))\/c)*c**(-1\/2)*(c\/c**(1\/2))**(6\/37) assuming c is positive.\nAnswer: c**(43\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-48))\/(2\/6)*-6. Suppose 2*o + 3*p = -n*o - 13, 5*o - 5*p + 5 = 0. Sort 4, o, -3, -1 in decreasing order.\nAnswer: 4, -1, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 22. Let w = -496 + 493. Which is the nearest to -1\/3? (a) 1\/5 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 6. Let t be q(10). Suppose 0 = -t*i + 15 + 9. Let j be i\/(-9)*(-45)\/(-80). What is the third biggest value in j, 2\/3, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 9925.\nAnswer: -39700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w - 12656 = 4*g, 4*w = -3*g - 16870. Let x = w - -6011. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(5\/2)\/(-5). Suppose 2*p + f = -0. Let g = -8 + 6. Is p <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 252 + 12193*s - 512 + 260 + 7910*s in the form t*s + a and give t.\nAnswer: 20103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 8*r - 6715 = 5*r, 5*r - 4029 = -3*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21038, 0, -1 in ascending order.\nAnswer: -21038, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -37. Let o be 2*(a\/(-2) + 4). Do 1\/8 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/5 - 234\/(-30). Let o(u) be the first derivative of -u**3\/3 + 9*u**2\/2 - 4*u - 1. Is 4 a factor of o(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 7513.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**4 - 2*w**2 + 8. Suppose t(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*c = -252*c - 114. Let l(f) = f + 282. Let n be l(0). Suppose -i - n = -c*i. What are the prime factors of i?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2 + 2*v + 2. Let q(z) be the first derivative of z**3\/3 - z**2\/2 - z + 138. Suppose -d - 1 = 3*p + 3, 5*p + 4 = -d. Determine d*q(k) - 2*r(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/31 at most as big as -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -19960*i**2. Let f(d) = -4*d**2 - 2*d. Determine f(m(h)).\nAnswer: -1593606400*h**4 + 39920*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 1277418?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11001010 (base 2) to base 15\nAnswer: -d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42922*0.29.\nAnswer: -12447.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7784.152 decades to months.\nAnswer: 934098.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -203211032 (base 4) in base 8?\nAnswer: -434516","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0 (b) -94 (c) -5 (d) -2 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-72)*3*-1. Which is the biggest value? (a) -87 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129214528 divided by 32.\nAnswer: -4037954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 5*t = -6*t. Let a(m) be the third derivative of -1\/8*m**4 + 0*m + t + m**2 - 2\/3*m**3. What is the first derivative of a(w) wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.029 * -2.0577.\nAnswer: 0.0596733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37917455 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 u(a) = 7*a - 16*a + a + 9*a. Let r(c) = -570*c**2. What is u(r(w))?\nAnswer: -570*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52694275*c**3 - 2968*c**2 + 312.\nAnswer: 316165650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 145*j - 259 - 549*j - 841 + 278 wrt j?\nAnswer: -404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25257, -25255, -25253?\nAnswer: -25251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + 5. What is the remainder when u is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40353 or -363175\/9?\nAnswer: -40353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9550393?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**3 + 5*r**2 + 10*r - 4079. Let v(l) = 10*l**3 + 7*l**2 + 14*l - 6119. What is -7*o(u) + 5*v(u)?\nAnswer: u**3 - 2042","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*g**3 - 91*g**3 - 97*g**3 - 244*g**2 + 283*g**3.\nAnswer: -2*g**3 - 244*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92476 by 8.\nAnswer: -23119\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (17 - 16 - -10)) + 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 26 = 158. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 17*k**2\/2 - k - 1. Is 8 a factor of i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/((-2)\/(-16)). Suppose 20 - 134 = -57*l. Let x(w) = v*w**2 - 18 - w - 3*w**l + 14. Give x(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75392.7 micrograms to milligrams.\nAnswer: 75.3927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 20*f + 18*f = 15, 0 = f + 5. Which is greater: j or 32\/359?\nAnswer: 32\/359","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -297*x**2 + 2112*x - 235. What is r(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 6, -4*s = 2*j - 0*s. Suppose -2*k = -5*t + 12, 3*k + t + j = 5*t. Solve 5*u + k*q + 7 = 2*q, 4*u = -3*q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1189*x + 1194*x + 30 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2178*v**2 + 1718*v - 102834713?\nAnswer: 4356*v + 1718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81 + 64 + 9*f - 133 to the form k + r*f and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 47. Solve 0 = f + c*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 126?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 101202101121222?\nAnswer: -101202101121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -26230, 74.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2743417 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1569.\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(165)*2)\/sqrt(5)*-4)\/(((sqrt(144) + sqrt(144)*1)\/sqrt(6))\/(sqrt(80)\/sqrt(40))) + 5)**2.\nAnswer: 40*sqrt(11) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, 11502, -0.006?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18837704 is divided by 224258?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = 2*s. Suppose 0 = -s*a - 9*a + 2420. Does 44 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = 2*f - 0*f + 80, 2*z + 2*f - 19 + 29 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 42 - 2089*l**2 - 21.\nAnswer: -2089*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**3 - 19*v**3 + 9*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5964304 is divided by 119279?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -313*x - 285 wrt x?\nAnswer: -313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*p**3 - 8*p**2 - 21*p.\nAnswer: -78*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 883, 1742, 2609, 3484, 4367?\n\"Answer: 4*j**2 + 847*j + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -14*c + 5. Is q(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.1, -234, 31?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 474.472nm to millimeters.\nAnswer: 0.000474472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912948 is divided by 783?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 4*r = -1, 2*r = -4*x - 6*r + 13*r - 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62539 + -9630955\/154. What is the common denominator of n and -37\/28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 11, z: 9}. Give prob of picking 2 x and 1 z.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6405*p**2*s**3 - 123*p*s**3 + 165*p*s**2 wrt p?\nAnswer: 12810*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*d**2 + 124*d**2 - 134*d**2.\nAnswer: 158*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 819341983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*l**3 - 158*l**3 + 336*l**3.\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3\/11 (b) 2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 1 + 1)*(-2 - 3 - 2)*((2 + 1 - 2)*(3 - 6 + 4) + 0 + 2 - 4)*(3*k**2 + 14*k**2 + 36*k**2) to s*k**3 + c*k + q*k**2 + d and give s.\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 divided by 24320.\nAnswer: 141\/24320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/268 and 95\/444?\nAnswer: 29748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -7*c + 10*c + 32, 122 = 5*u + 3*c for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 113, 120, 129, 140, 153, 168, 185?\n\"Answer: h**2 + 4*h + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 13*c + 141. Give u(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14404 divided by 52?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1451, 1464, 1485, 1514?\n\"Answer: 4*s**2 + s + 1446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 3)*(4*v**3 - 3*v**3 + v**3) - 142*v**3 - 136*v**3 + 69*v**3 in the form z*v + u*v**2 + y*v**3 + q and give y.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(945\/14))\/((-9)\/162).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.88 * 39\nAnswer: 34.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4.1. Let i = u - 0.2. Let y = 5\/13 - 61\/91. Which is the closest to -0.3? (a) i (b) y (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 3*v**2 - 4*v + 2. Let l be x(-4). What is the second derivative of -2*q**l + 2*q**2 - 2*q + 3*q**2 + 2*q**2 wrt q?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5 + 19. Let o = b - -5. Is (o\/(-2))\/3*26 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 19*i**7\/7 + 10*i**3\/3 - 27. Find the third derivative of b(x) wrt x.\nAnswer: 2280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 15, -184, 0.44?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*o + 650*o - 326*o - 14*o**2 - 20*o**2 + 32*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 4*k**2 - k. Let q(n) = -2*n + 10. Let s be q(7). Let x be z(s). Solve 4*m - 2*r = -26, -r - x*r + 13 = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -349*q**2 + 2*q + 83?\nAnswer: -698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s + 19934 - 7220 = 0. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 + 372 = n. Solve n*z + 5 = -5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 232*f - 90. Let o be x(4). Let z = -812 + o. What is the remainder when 125 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-9))\/(2\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 43\/(1 + 3\/(-4)). Suppose 203*t = 8820 - 91. Calculate the highest common factor of w and t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3094013.0362 + -3093732. Let a = -281 + p. What is a rounded to 3 decimal places?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 19 = f + 3*m, -m = 3*f + 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 9) to base 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3947 + 4596. What is the highest common divisor of 59 and i?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1200, 2, 78, 4 in decreasing order.\nAnswer: 78, 4, 2, -1200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -4. Let d be (8\/(-6))\/(1\/6). Let g = b - d. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26481580?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 63*c**2 - 97*c**2 + 115*c - 115*c. Let i(k) = -k - 346. What is t(i(f))?\nAnswer: -34*f**2 - 23528*f - 4070344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65470.48 decades to centuries.\nAnswer: 6547.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*q - 60. Suppose 50 = -0*l + 3*l - 5*j, 4*j + q = 2*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7936 is divided by 565?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 + 15*o**3 + 11*o**3 + (48 + 41 - 4)*(0*o**3 + 5*o**3 - 4*o**3).\nAnswer: 113*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/g**(-13))*g**(-15)*g*g**(2\/35)*g**12*g assuming g is positive.\nAnswer: g**(-488\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324 (base 7) to base 12.\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003520105279 rounded to six dps?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**5\/4 + 7*z**4\/2 + 8*z**3 - 7*z**2\/2 - 33*z\/4 = 0.\nAnswer: -11, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 2\/11 (c) -4\/83 (d) -33\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21\/221 - -11461\/2652. What is the common denominator of f and 79\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15372\/29 + -530. Let o = u + 44\/203. Is 0.091 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.53 + -14.01915.\nAnswer: -14.54915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3\/15 + 14*u**2\/15 - 112*u\/15 - 88\/5 = 0. What is u?\nAnswer: -11, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.7 + 8.7. Let y = p + -6. Which is the third biggest value? (a) y (b) 3 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 times -75.7827\nAnswer: -3637.5696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7166*j + 1777285. Determine f(-248).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 1702 (c) 1 (d) -0.13 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/78*(-24)\/(-2))\/((-78603)\/(-1638) + -48)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/7680*-20*-12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 11*d - 5. Let n be x(4). Let p be (-4)\/(1 - n\/45). Calculate the greatest common factor of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 5\/9, 3, 0.9, -0.1, -0.4?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 56 + 5*d - 5 + 52 - 22. Let k be b(-15). Solve 3*f - 1 = -q, k*f - 2*f + 16 = 3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -994.7748 - -11690718?\nAnswer: 11689723.2252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.049, 0.2, 0.5.\nAnswer: 0.049, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 - 1. Let p = -0.5 + h. Let b = -5 + 4.9. What is the nearest to b in p, 0.1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (1*sqrt(88) + sqrt(88) - sqrt(88))*-6)*6)\/((-4*(sqrt(64) - (sqrt(64)*2 + sqrt(64)) - sqrt(64)) - sqrt(64))\/sqrt(8)).\nAnswer: 42*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8428403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65.03 + 61.03. Let p be (0 - 1)*6\/2. Sort -0.2, j, p, 1 in decreasing order.\nAnswer: 1, -0.2, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/208 and 59\/89525696.\nAnswer: 89525696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5043327.\nAnswer: 3, 659, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 14*d - 16. What is j(13)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b + 12. Suppose 0 = -5*t + 13 + 2. Suppose -2*l - 2 = 2*q - 18, -5*l = t*q - 18. What is the remainder when q is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -177, -213, -269, -351, -465?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 - 3*i**3 - 2*i**3 + 2*i - 2*i - i**3 + (-4*i + i + 2*i)*(3 + i**2 - 3) + 3*i**3 - 4*i**3 + 0*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11035\/11661 - -84\/169. Find the common denominator of -47\/8 and u.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*s + 4440 = -209*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 405 = -r + 2432, 5*a = 10. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4116 - -4752?\nAnswer: 8868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 1, 30, 15 in ascending order.\nAnswer: 1, 15, 30, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**2 - 13*p**2 + p**2)*(3*p + 2*p - 4*p)*(-3*p + 4*p - 3*p + (35 + 8 + 25)*(2 - 2 + p)) in the form v*p**3 + f*p**2 + z*p**4 + u + l*p and give z.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/40 - (-876)\/10. Let y = z + -82. Solve -3*x - y = 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - y + 269, 5*p - 250 = -5*y + 15. Calculate the remainder when p is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4074 + -4059. Which is the biggest value? (a) o (b) -5 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2*(2 - 3) and (43\/2)\/(-1 - 1 - 605\/(-242)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 46 = -3*j. Let p = j - -23. Solve 4*x + 2*l = -p, 6 = -0*x + x - 2*l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f + 34 - 116 + 54 + 33 + 28. Determine h(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*sqrt(130)*-1 + (sqrt(130) - 4*sqrt(130)*3))\/((sqrt(10) - sqrt(640)*-3) + (1*sqrt(60))\/sqrt(6)).\nAnswer: -8*sqrt(13)\/13 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 14*m**2 - 32*m + 3. Let p be c(-16). Let a(b) = 20*b**2 - 5*b - 2. Is 12 a factor of a(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1314058550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -5, -1, 3, -8, 1761 in decreasing order.\nAnswer: 1761, 5, 3, 1, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/9*6\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 26.2. Let r = 2.799936 + z. Round r to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 9, 0 = -2*n - n - 5*u + 15. Let k be 3\/(-9)*n + 10. Let x = 2 + k. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - -8. Let z = l + -15. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 317 + -151. Find the common denominator of -31\/18 and a\/60 - 56\/140.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/3 + 16252*y\/3 = 0.\nAnswer: 0, 16252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(14\/5) + (-13 - -12) and 425\/36 + (-80)\/36 + 2.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -174298344 by 137027.\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*h - 134, -3*q + 3*h - 6*h = -129. Let g(y) = -8*y - 3. Let n be g(-5). Is q at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-36))\/(28\/(-8)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7*v - 2*b + 1050, 2*v - 5*b = 519. Suppose -11*p = -8*p - 4*u - 48, -4*u = 3*p - 96. What is the remainder when v is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*a + 0)*(0*a + 0*a - 2*a)*(3 + 3 - 5)*(-118 + 94 - 141) as n*a**2 + t + o*a and give n.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-3\/5)*v\/((v\/((v*v**(-7)\/v*v)\/v*v))\/v) assuming v is positive.\nAnswer: v**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4*x = -32, 0*s + 28412 = -4*s + 2*x + 28392 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5668*s**5 + 931*s**2 + s.\nAnswer: -340080*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*y - 9 = -3*p, 0 = -p + 3*y - 2. Suppose -t + p = -3. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.32 (b) 8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from ypffafffbbbaobbfa?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(700)*1 + sqrt(700) + sqrt(700) - sqrt(700))**2 - (3 + sqrt(35)\/sqrt(5) - sqrt(7) - sqrt(7))*-6.\nAnswer: -5582 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/8*(-4)\/(-3). Let s be -3*(a + 3 - -2). Suppose s*b - 68 = 193. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, 3\/2, -6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-494462)\/(-486120) - (-3)\/(-18). Let r = 2\/4051 - g. Find the common denominator of r and 3\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s - 3*s + 21*s**2 - 22*s**2. Let w(o) be the first derivative of 5*o**3\/3 + 17. Determine w(z(j)).\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 8) to base 4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*5)\/(5\/10). Suppose -6*p + 8*p = c. Solve 1 = 4*v + p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 86*j + 169. Let x(g) = 65 - 44 + 92 + 57*g. Let q(c) = 5*k(c) - 8*x(c). Is q(-18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**43*(h**41\/h)\/h)\/((h*h**(20\/11)\/h*h)\/h)**3 assuming h is positive.\nAnswer: h**(842\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -407, -5, 5.8, 5 in descending order.\nAnswer: 5.8, 5, -1, -5, -407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**6\/120 - m**5\/12 - m**4\/6 - m**3\/2 - 79*m**2. What is b(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 16*h - 7. Let o(m) = m**3 - m**2 + 25*m - 7. Let q(d) = 3*o(d) - 4*r(d). Let t be ((-7)\/(-2))\/((-2)\/4). What are the prime factors of q(t)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -3. Let u be 0 - -1 - (x + 4). Calculate the common denominator of 11 and (-59)\/(-2)*u\/28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {w: 4, z: 3, l: 3, f: 5, b: 1, c: 1}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3) - 44\/(-3). Suppose -u - y = -2*i + u, -3*u - 17 = -2*i. Calculate the remainder when 13 is divided by (-2)\/(-1 - 1) + i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) -1\/16 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-4\/7)\/(x\/x**4))\/(x**(-13)*x\/(x\/(x*x**(-1\/9)))))**18)**(5\/9) assuming x is positive.\nAnswer: x**(9160\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-395.702.\nAnswer: -2769.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/40*(7 + 266\/(-28)) - -1.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 33 = 2*x. Let j(v) = -19*v + 3. Let i be j(x). Let c be 1*163 + -3 + 4. What is the greatest common factor of c and i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - n**3 - 2*n**3 + 3*n - 3*n**2 + 0*n. Let p be m(-3). Suppose 3*i = 4*g - 60, -5*g = 2*i + i - p. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 1125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.47 + -0.411. Let w = 0.159 - u. What is the closest to w in 3, 0.2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6787386 kilograms in tonnes?\nAnswer: 0.0006787386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 0, 1, 658, 3\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s = -15*s + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 92259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 - 1.95. Let t(d) = 3 + 2 + 11*d + 2 + d**3 + 11*d**2. Let f be t(-10). Put f, 0.3, g in ascending order.\nAnswer: f, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8 = 18. Calculate the remainder when r is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4892.96 milliseconds to nanoseconds.\nAnswer: 4892960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10252514 or -10252507?\nAnswer: -10252507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 81382*z - 75522 wrt z?\nAnswer: 81382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9 - 16914\/(-36) - (-1)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**5\/10 + v**4\/6 + 2*v**3\/3 + 7*v. Let b(w) = 0. What is w?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 443003008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 155033a9 + 5?\nAnswer: 15503403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvcl when four letters picked without replacement from {v: 1, l: 1, r: 1, c: 2, t: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 560*i + 78400.\nAnswer: (i + 280)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 40256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169617 = -5*i - 4*p, -78060 = 4*i + 3*p - 213752. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22878, 23107, 23352, 23619, 23914, 24243?\n\"Answer: h**3 + 2*h**2 + 216*h + 22659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 291599 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -11.330538\nAnswer: -3.3991614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 4*p - 2. Suppose -10 = -5*b + 3*k - 5*k, 0 = -3*k + 15. Let l be -1*(-4)\/(1 - b). Let f be o(l). Is -1 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*p + 474 = -66*p + 942 - 468 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-205)\/(-656))\/(0 - (-125)\/20))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Suppose 2*a - 15 = -y*a. Suppose 226*x + 217*x = 452*x. Solve 3*g - w = -x*g - 8, -2*w + 7 = a*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = -7 - 4. Calculate the lowest common multiple of 48 and (-8)\/(14 - -2)*(s + -89).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0 - 20 = 0. Let d = -3238 + 3248. Calculate the highest common factor of m and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1405935 + 257154 = -3*r - 3*u, -2*u = -5*r + 1914600. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 155120294*q**3 - 4*q**2 - 22217058 wrt q?\nAnswer: 930721764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(338*l - 86*l**2 - 338*l)*(-l - 2*l - 2*l).\nAnswer: -430*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2567 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -128408, -513929, -1156464, -2056013, -3212576?\n\"Answer: -128507*y**2 + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 1\/3533 (c) 10 (d) 0.5 (e) 18 (f) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/774411?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1300)*2 + 3 - (1 + sqrt(1300)*1)*-3)*-4.\nAnswer: -40*sqrt(13) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 14*a. Let m(j) be the first derivative of -173*j**3\/3 + 200. Calculate m(w(q)).\nAnswer: -33908*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 + 2*p**4 - p**5)*((2 - 2 - 2)*(4 + 0 - 1) + (6 - 4 + 0)*(0 + 4 - 2)).\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 126*d**2 - 6*d - 14. Let b be q(-6). Let j = b - 3197. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2006436 or -2006729?\nAnswer: -2006436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -135 + 31. Let d = o + -99. Let r(b) = -2*b - 21. Let q be r(-13). What is the greatest common factor of d and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7168 or -21506\/3?\nAnswer: -7168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107*r - 234 + 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/(-4)*116\/(-6) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.64 - -1.4. Let a = -0.8 - -1. Let j = y + a. Round j to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 94*t - 264.\nAnswer: -2*(t - 44)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24155 is divided by 348.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 1 = q + 2*r, -4*q - 4*r = 0. Suppose 7*z - 2*z = 15. Suppose 2 + z = -q*x. Let d(n) = 7*n**2. Calculate d(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3 = -4*y, y - 12 = 122*z - 118*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*k**4 - 1320*k**3 + 497*k**2 - 151*k + 1?\nAnswer: -1128*k - 7920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(((-1170)\/(-20))\/(-13)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oso when three letters picked without replacement from soossfoofosso?\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*p - 804, -2*p = -7*p. Let l = k - -303. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 3 - 3)*(-765*i - 5951 + 11902 - 5951) as d*i**2 + q*i + b and give d.\nAnswer: -765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, s: 2, k: 2, x: 4, d: 2}. What is prob of sequence dx?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 519 + -1076. Let m = n - -789. Let l be (((-58)\/(-6))\/1)\/(7 + 540\/(-81)). Calculate the greatest common divisor of m and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 3*d**2 - 4*d - 2. Let o be y(-2). Suppose -2*g - 2*g + 16 = 0. Solve o*x = g*v - 14, v + 2*x = -2*x + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2067*x + 18649 = 846*x - 22133 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140*g**3 - 14022*g**2 + 2700580*g?\nAnswer: 840*g - 28044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37784 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + 68 + 106 + -163?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - -8. Suppose -t + p = t. Solve 5*f = -4*o - o - t, -4*o - 2*f = 16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) -0.5 (b) -0.4 (c) -4\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 0.3526, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - -113. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*o = -60*o + 203*o + 209*o - 12138 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-7))\/(60\/(-1132726)). Let f be 43*251 + -9 + 10. Let d = z - f. Calculate the common denominator of d and 64\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/2))**47\/((i*i**3)\/(i\/((i\/(i\/(i*(i*i\/(i*i\/(i**(2\/19)*i)))\/i)))\/i*i))) assuming i is positive.\nAnswer: i**(737\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/13 + 16*j**2\/13 + 24*j\/13.\nAnswer: 2*j*(j + 2)*(j + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -430 + 5700*q + 156 + 274 in the form t*q + f and give t.\nAnswer: 5700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49694 (base 14) to base 6.\nAnswer: 3503442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v + 24*v = 101. Suppose -v*f + 2160 = -96*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 2*q - q)*(-3*q + 5*q - 3*q)*(-3 + 4 - 2) as t*q + o*q**2 + l and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, t: 4, u: 2, a: 9, d: 1}. What is prob of picking 2 t and 1 u?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 176632883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8527342 divided by -3?\nAnswer: 8527342\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6 rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9571263 and 3393.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.5 (b) -2 (c) -0.03 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -0.02, 1.43, 2, -0.07, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (459\/72)\/17 + (-234)\/112?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - (27 + -74 + 31).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -753 + 755. Solve -x = 2*b + 14, x + t*b + 30 = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3 + 257*a**2 - 3*a - 44?\nAnswer: -6*a + 514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-3)*6\/(-5). Suppose -i = -z, 0*q + 13 = 5*q - 3*i. What is the remainder when 13 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -276\/3127?\nAnswer: -276\/3127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 2?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnn. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 0.2, -0.05, -61, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + a?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 4*a + 0*a)*(-3*a + a**3 + 3*a) - 5*a**4 - 5*a**4 + 11*a**4.\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/41? (a) 0.1 (b) 0 (c) 0.49 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Let o be 10\/c*(2 - -1). Suppose -o = 3*i, -4*i = -3*k - 0*i + 38. Calculate the remainder when 17 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49310, 49365, 49436, 49529, 49650, 49805?\nAnswer: 50000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*i**3 + 120*i**3 - 1 + 1 - 40*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -18827*p + 4816. What is the ten thousands digit of b(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 5*a - 5. Let q = 19 + -15. Let t be j(q). Are 2\/15 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119443 - -198620. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -363517*d**3 + 769961*d**2?\nAnswer: -2181102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, 1, -17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 226 - 318. Let g = -60 + -6. Let v = g - x. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3 = i. Suppose -3*q + 160 = -o + 2*o, -4*q = -i*o - 196. Suppose 3*m - 5*z - q = 0, -3*m = -2*z - 7 - 30. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 767\/5 + -154. Suppose 2*z = -5*m + 25, 0 = z + 5*m - 10 - 10. Which is the closest to 2\/7? (a) -4 (b) l (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-27)*((-5301)\/(-1550))\/19?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*u = -13 - 28, 4*u = h - 27. Let c be h\/(-4)*(-28)\/(-21). Which is smaller: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29373648*t**4 - 23086603*t**2?\nAnswer: -704967552*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57539870 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**3 + 0*a**3 + 4*a**3)*(a + 6*a + a) + (a**3 - 2*a + 2*a)*(0*a + 3*a - a) - 4*a**4 - a**3 + a**3.\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 40 = -171. Suppose 4*o + 2*b - i = 7*b, -o + 5*b = -64. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -726 + 736. What is the remainder when 16 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a + 10. Let v(o) = 9*o + 20. Calculate 5*g(s) - 3*v(s).\nAnswer: -2*s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0385903201501 and 40.\nAnswer: 39.9614096798499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, and 2 r when four letters picked without replacement from llorxol?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-2))\/9*2\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 5. Suppose 4*u + 0*u + 38 = 2*o, -2*o = n*u + 43. List the prime factors of 2\/9 - 97\/u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15496 divided by 104.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:30 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*i - 6. Find the second derivative of 0*g - 2*g**5 - 2*g**i - 4*g wrt g.\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (10 + -6 + 14 + -6 + 12 + -3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 3*v + 5*v)*(7*v - 3*v - 3*v) + (-492*v - 1147 + 1147)*(0*v - v + 0*v).\nAnswer: 490*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*k**3 + 1797*k**2 - 599*k**2 - 597*k**2 + 23*k**3 - 601*k**2.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*n - 79*n - 28474 + 94372. Calculate the greatest common divisor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 827\/6 + 2\/12. Let p = 140 - t. Calculate the highest common divisor of p and 42.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -270*i**5 - 173*i**5 + 88*i**5 + (-i**3 - 2*i**3 + 0*i**3)*(-2*i**2 + 2*i**2 - i**2).\nAnswer: -352*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.17 - 1.57. Let x = -10.7 + m. Let y = -0.1 - -0.1. Which is the closest to y? (a) x (b) -2\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*6*(-4)\/16. Let c = -1 - q. Let g be 10\/45 + 32\/18. Sort c, g, -5 in descending order.\nAnswer: g, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*j + 99 = -177*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 49.\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48343605 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16\/3, -4, 4, -242\/3?\nAnswer: -242\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 2*l**2 + l**2)*(2*l**3 + l**3 + l**3) + 253*l**5 + 43*l - 48*l - 167*l**5.\nAnswer: 70*l**5 - 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m - 2*b - 16 = 0, 4 = -2*b. Calculate the greatest common factor of 54 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.319 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 101339801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a millennium?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2055 (base 6) to base 8.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1899 is divided by 1897.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2535\/3042*2\/(-1))\/((0 + 2)\/(-30))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ed94 (base 15) in base 6?\nAnswer: -4200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4872 = 345*w - 81267 - 1272471. Calculate the lowest common multiple of 220 and w.\nAnswer: 39380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3564*v - 17236.\nAnswer: 3564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3688, 3681, 3674, 3667?\n\"Answer: -7*i + 3695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29557\/19 + 1556. Are -1 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-24) - ((-1)\/4 - 2). Solve 0 = -3*z + 4*f + 14, -4*f + 7*f + i = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13*1002 - (-4 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 87781796 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 14309186.74 from 2.3.\nAnswer: -14309184.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(21\/69) - 3. Is 0 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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 -13239.893 - 522?\nAnswer: -13761.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbhnnnhbchblnbnb. Give prob of picking 2 h.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 775603 and -841 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102937359, 205874703, 308812047, 411749391, 514686735?\nAnswer: 617624079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 less than 1157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/12*(-132)\/(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**2 - 6*n**2 + 12*n**2)*(-6 + 3 + 4)*(6 - 5 + 1) to k*n**2 + i*n + m and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 2*k + 3. Let m(h) = -448*h**2 - 13*h - 443. Let s(f) = m(f) - 6*v(f). Find the second derivative of s(x) wrt x.\nAnswer: -908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15509 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 15, 28*t - 33*t + 4*p + 12 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 654?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 39547 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 3*s + 2*x = 15, 0 = -5*x. Suppose -1 = -2*a - 7. Is s less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 9*k**2 + 3*k + 5. Let w be r(-9). Is (-64269)\/(-99) - (-4)\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -897 times 0.01\nAnswer: -8.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 452 + -452. Suppose 3*h = 5*x - 4454, v*x - 5*h + 4470 = 5*x. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*h**3 - 303*h**3 + 169*h**3.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/84 + 3\/(42\/(-80)). Let z be (-5)\/(5\/(-2)) - 5. Let q be (-4)\/g - (-2)\/z. Solve -w = -q - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -714 divided by -14\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t - 16. Solve -g = t*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 358\/31, -3\/7 in descending order.\nAnswer: 358\/31, -3\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g. Let h(s) be the third derivative of -s**5\/60 + s**3\/2 + s**2. Let t(p) = -2. Let y(l) = 2*h(l) + 3*t(l). Determine y(u(a)).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4694 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.7 - 4.7. Let v be -1 + -1 - 4\/(-8). Let l = -0.4 - 0.1. Which is the nearest to d? (a) l (b) -2\/17 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*o - 20 = -2*w, -w = 5*o - 13. Differentiate w - 2*q**2 - 2*q**2 + q**2 with respect to q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m*t**2 + 46*m*t + 196885*m - 2*t**2 + 73695*t + 2 wrt m?\nAnswer: -2*t**2 + 46*t + 196885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 138 - -436. Let d = -55 + 651. Suppose 10*f - a = d. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 33 = 4*g - 13 - 20, 7*y - 3*y + 35 = 3*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*o - 14 = 59*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22484*k**3 + 2*k**2 + 590*k - 376157370 wrt k.\nAnswer: -67452*k**2 + 4*k + 590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90065 less than 90068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-9 - -8 - -5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(612)*-2*3 + (-4 + sqrt(612) + 0)*4)**2 + 0 + -4.\nAnswer: 432*sqrt(17) + 2768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -6. Let s = 66\/91 + -4\/7. Which is the second biggest value? (a) l (b) s (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -2*z - 1\/9*z**3 - 143 + 7\/6*z**2. Factor v(x).\nAnswer: -(x - 6)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**4\/4 + 17*b**3\/3 - 3*b**2 - 18*b + 1198. Let x be ((-2)\/4)\/(3\/102). Is 13 a factor of r(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnbnnnnbn. Give prob of picking 2 n.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 25*o + 1. Let y(k) = 189*k**2 - 2100*k - 84. Let g(a) = 84*s(a) + y(a). Let m(c) = -54*c**2. Calculate m(g(l)).\nAnswer: -23814*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60645, 121131, 181617, 242103, 302589?\nAnswer: 363075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 3*o + 5*o + (-3 + 2 + 2)*(-2*o + 2*o + 2*o))*((1 - 8 + 3)*(-3 - 2*o + 3) - 3 + 3*o + 3 + (3 + o - 3)*(2 - 3 + 2)).\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -54126073 greater than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*u + 68, -19*u = -4*j - 20*u + 83. What is the least common multiple of (-1)\/(-1)*-1*-10 and (-6)\/(-10)*(j - 12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1, 4, 2, -9226?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z - 48*z**3 + 3*z - 13*z**2 + 11*z**2 - z in the form m*z**3 + i + y*z + v*z**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-355)\/2*(-256)\/80?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 274.5 + -275. What is the closest to 4 in y, 2, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7878.49335s to weeks.\nAnswer: 0.013026609375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -24*f - 2. Let v = 591 - 584. Let h(z) = -z + 8*z + z**2 - v*z. Determine h(n(i)).\nAnswer: 576*i**2 + 96*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 0*j**2 + 3 + j**3 + 0*j - 3\/4*j**4. Suppose o(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 18*d - 29. Let f be h(16). Let m be ((f - 3)\/3)\/(-1). Suppose -2*b + 95 + 65 = m. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 - 1.94. Let n = 18.04 - 1.04. Let s = -154 - -156. Put 2\/3, s, n, w in decreasing order.\nAnswer: n, s, 2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 6. Let i be j(5). Let l(s) = 5*s - 16. Let u be l(-17). Let m = u + 134. What is the greatest common divisor of i and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 66. Let s be 1\/(-2) - 2\/(-4). Suppose -j = -2*k - s*k. Solve -2*f = 5 - k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.95 + -0.05. Let y = -6 - j. Let a = y + 1.99999975. What is a rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16701675 is divided by 1531?\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1 + (11 - 30 - 17)*(2 - 2 + 1 + (-3 + 1 + 3)*(0 + 4 - 3)))*(-2 + r + 2).\nAnswer: -71*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2617860?\nAnswer: 2, 3, 5, 7, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 5*f = 35, 4*f = 10 + 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -167.347, -1\/5, 1\/2, -2\/13 in decreasing order.\nAnswer: 1\/2, -2\/13, -1\/5, -167.347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390268 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 6*r - 3. Let l be z(4). Suppose l*g = 9*g. Let d(u) = -2*u + 3. Let w be d(g). Solve -w*p - 1 = 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9193281 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.13 and 3433769898?\nAnswer: 3433769897.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v. Let f = -27 + 29. Suppose 4*k - 7 = -a, -5 = -k + 5*a + 2. Let n(q) = 3*q**f + 2*q**2 - 2*q**2 + 0*q**k. Give n(h(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-5)*10\/3. Let i be (-12)\/v - 7 - 11. Let q(k) = k**2 + 14*k - 11. Let g be q(i). Solve -r + g = 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 50 = 0, 3*d + 9*z - 11*z - 17 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q - 51. Let g be -3 - ((-9)\/27 - ((-52)\/(-12))\/(-1)). Give d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*m**4 - 447*m**3 - 690*m**2 + 456*m = 0. Calculate m.\nAnswer: -2, 0, 1\/2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**6\/12 - n**5\/6 - 9*n**4\/8 - 4*n**3\/3 - 59*n**2. Calculate the remainder when x(-4) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1131.3 + 1131. What is the closest to -3\/5 in u, -6\/11, -1\/3?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2 - 51408*s - 145424768 = 0. Calculate s.\nAnswer: -8648, -4204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9740656 is divided by 159?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 178*b + 2. Calculate y(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*q - 1 + 2 = 0, 5 = -h - 4*q. Sort h, 0, -1\/5, 5\/2 in decreasing order.\nAnswer: 5\/2, 0, -1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r + 30*r - 2 + 2 - 32*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 28 - 12 = 0. Let r = 65 + -63. Let f = m - r. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(12)*3)\/((sqrt(42)*4)\/sqrt(7)).\nAnswer: -9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -42 (b) 1\/7 (c) -0.04 (d) 5\/6 (e) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(140))\/sqrt(7))\/(-6*sqrt(4)*1 - sqrt(4)).\nAnswer: 2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -1 + 4 + -4. Suppose u*h + 68 + 22 = 0. What are the prime factors of (h - 1)*22\/(-11)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63.9 + 64. What is the nearest to w in -4, 0.03, -1\/2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2124 (base 7) to base 11.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3640*0.7.\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -39 + 129. Suppose -2*p = 18*d - 14*d - 46, 5*d = 4*p + 25. Calculate the remainder when h is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1129788046 to the nearest integer?\nAnswer: 33612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 46.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/6, -4, 3\/5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 v when four letters picked without replacement from {n: 6, v: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4883159034?\nAnswer: 2, 3, 13, 43, 53923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2162331 = -2*u, 17*w - 12*w - 25 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*k*l**3 - 19*k*l**2 + 2*k*l + 107552*l**3 - 72*l**2 - 3*l + 36 wrt l?\nAnswer: -456*k + 645312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10013 - 11011313?\nAnswer: -11021332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsrrs. Give prob of sequence ss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b + 18*b**2 - 4*b + b to a*b**2 + w*b + v and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51048 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -35, -242.\nAnswer: -242, -35, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, h: 9}. Give prob of picking 3 h.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 4*r**2 - r - 5. Let i be h(-4). Let o be 1749\/22*(-2)\/6. Let x = o + 26. Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2030 and 29609.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 4. Suppose z - 3*d + 12 = 0, z - 2*d = -d - 2. Put m, z, -1 in descending order.\nAnswer: m, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*y = 206, y + 2 = 4. Let v be 2 - x\/30 - (-34)\/70. Let -v*t**2 + 10\/7 + 8\/7*t = 0. What is t?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367133, -367124, -367115?\nAnswer: -367106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3, -s + 3*s - 15 = 3*n. Suppose 0 = -7*y + s*y + 20. What is the smallest common multiple of y and 166?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 + 0.25. Let m = 0.21 - f. What is the biggest value in -3, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -17*x - 5. Give w(-5).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -6 + (19 - 6) + 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 6:29 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2830 and 587.\nAnswer: -2243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vssskvssksssssvvsvss. Give prob of sequence svsv.\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6*t + 24*t + 17*t)*(-3 + 2 + 2) + 0 + 0 - 2*t)*(2 - 2 + t) as p*t**2 + d*t + y and give p.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -222 + 271. Factor -5*n**4 + g*n**2 - 36*n**3 + 14*n**2 - 30*n + 8*n**4.\nAnswer: 3*n*(n - 10)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 5*z**2\/2 - 6*z - 110. Let p(g) be the first derivative of 3*g**2\/2 - 3*g + 30. What is 4*j(q) - 7*p(q)?\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -53*q**2 + 3459*q - 904. Determine v(65).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.18 and -6049551?\nAnswer: 6049550.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-385)\/(-12) - (1 - -4). Let k = 205\/6 - w. Find the common denominator of 61\/24 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36340 divided by 533.\nAnswer: 36340\/533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*o + 198*o + 2*q + 9 = 0, -9*q = -27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -160, -152, -142, -130?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 4 (b) 2193 (c) 5 (d) 0.29 (e) 1\/2 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/591101523 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -102*i + 54*i - 137*i + (2 + 0 - 6)*(1 + i - 1) + i + i - 3*i.\nAnswer: -190*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*n - 6. Let f be n\/(-6)*3\/2. Is (0 - f) + (74 - 6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48838752 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + i**3 - 5*i**3)*((-42 + 3*i + 41 - 4*i)*(6 - 1 - 1) + (4 - 2 + 0)*(i - i - 2*i)).\nAnswer: 16*i**4 + 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1.1, 0.5, -3 in descending order.\nAnswer: 4, 0.5, -1.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/21))**(3\/4) assuming d is positive.\nAnswer: d**(-1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4*sqrt(120)\/sqrt(3) + sqrt(40))\/sqrt(8))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i - 3*i - 17*i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3*g - x = -94, -3*g + x = -74. Calculate the lowest common multiple of 15 and g.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7*t - 168 = 0. Let m = t - 26. Let h(j) be the first derivative of j**2 - j - 1. What is h(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 - 3*d + 14)*(-7*d + 7*d + 2*d**2 + (0*d - 3*d + d)*(-2*d - d + 8*d)) to the form l + g*d + a*d**3 + k*d**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-128) + (-1)\/(-1) + 2233\/(-1496)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 227.4 + -187.4. Put f, -3, 4 in descending order.\nAnswer: f, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4156*d + 1 = 4157*d. Solve 4*s - 17 = 3*o - d, 4*o + 4 = s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143693.2 rounded to the nearest 100?\nAnswer: -143700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 16 = -3*r, -5*t + r = -0*r - 22. What is the units digit of 994 + ((-5)\/t - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f + 21*f - 300352 = 0. What are the prime factors of f?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 19*p**2 - 74*p + 20. Let g be j(5). Let r = -4 + 9. Solve g = -r*u - 6 - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1955 + 92 = -118*t - 2673 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4451 - 4?\nAnswer: -4455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 4*n - 2. Suppose q = -2*q + 3*p - 3, 2*q = 4*p - 8. Let z be k(q). Find the third derivative of -3 + 3 - 3*b**z + 5*b**3 wrt b.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 + 115. What are the prime factors of m?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -500703?\nAnswer: 500706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169 - 167. Solve 0 = -5*f + 3*h - h - 1, 0 = -r*h + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 29107070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521*c + 51*c - 225*c + 107*c.\nAnswer: 454*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8229 and 96427?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2722 = -5*b - 20*b - 2397 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.1648 - -0.0352. Let q = -867.95 + 879.1514. Let i = v - q. What is i rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14606926517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - d - 2)*(-4*d**3 + 4*d**3 + 2*d**3) + 7*d**4 - 8*d**4 + 8*d**4 + ((-5 + 1 + 5)*(d + 3*d - 6*d) - 5*d - 7 + 7)*(-d**3 - d**3 + 0*d**3).\nAnswer: 19*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49200007 and -5.\nAnswer: 246000035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**2 + 10*x - 12. Let j be b(4). Let h(g) = 4*g**2 - 1. Calculate h(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 47 = -4*a, -5*n - 307*a = -302*a + 65 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*s + 35, -s - f = -8 - 3. Find the common denominator of -75\/4 and (-55)\/2 - (-6 + s).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 2\/9 (b) -1\/3 (c) 2 (d) -30184 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/6*((-3)\/2)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3399\/62 - -609310\/11067. Find the common denominator of 83\/6 and l.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/(r\/(r\/r**(-8)))))\/r)\/(r\/(r**(6\/13)*r))*r*r\/((r*r**10)\/r*r*r*r)*r\/(r*(r\/(r**13*r))\/r) assuming r is positive.\nAnswer: r**(-59\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4703320.\nAnswer: 2, 5, 31, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -159, -44, 163, 474, 901, 1456, 2151?\n\"Answer: 2*r**3 + 34*r**2 - r - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-63))\/(4\/(-72)*-2)*-7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6*60*5\/180*-8?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**3\/6 + 47*j**2\/2 + 10*j + 5. Let t(o) be the first derivative of z(o). List the prime factors of t(0).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 8. Let j be a(6). What is the second derivative of j*x + x + 4*x - 6*x**2 - 6*x wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2 - 1447*n + 10447. Give c(282).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/((-2)\/(-9)). Let y = -4.447 - -2.447. What is the closest to y in -2\/3, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/3 - 715*h\/3 + 78764\/3 = 0 for h.\nAnswer: -812, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 - 48*d - 115. What is k(-13)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/15)\/((-14)\/(-16989)). Factor -6*t**2 - 841 + 2*t**2 + p - 24*t.\nAnswer: -4*(t + 2)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 275238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 24. Let s = 12 - o. Solve 2 - 10 = s*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*x + 189. Let q = x - -65. Suppose 10 = q*v + 3*v. Solve 6 = 4*n - v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-79 - 14) + 91 + (-6)\/(-2)*(-47)\/(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21\/(-42) + (-169)\/(-2) + 0?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/405*-6 + (-4573646)\/(-255) a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - x - 2 = -14, 0 = -d - 4*x + 13. Suppose 1333 + 477 = 66*f + 226. Solve g + 2*l - 4 = 0, d*g + f = l - 0*l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001036899 rounded to 6 dps?\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - h - 6. Let q be m(5). Suppose 3*o - 17 = -y, 15*o - 4*y = 11*o - 4. Factor 7*p + 9*p - q + o*p**2 - 6.\nAnswer: 4*(p - 1)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17514 divided by 2502.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1)*(1 - 1). Suppose 7 = 2*c - 3, 5*a - c - 95 = g. Suppose -7*m = -2*m - 100. What is the smallest common multiple of m and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -15*w + 2. Let p be b(-1). Let t be (-30208)\/(-136) + (-2)\/p. Let h = -22 + t. What is the greatest common divisor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/7015659 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530726?\nAnswer: 2, 7, 167, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in -2.288, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (0 + 0)) + (-1 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1236674103*o**4 - 1869323*o**2 - 2?\nAnswer: 29680178472*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s*(s*s**(-1))\/s)*(s**(1\/8)*s)\/s*s)\/(s**1\/s)**(-44) assuming s is positive.\nAnswer: s**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by (27 + 62)\/(0 - (0 + -1)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2\/5 - 13107*n\/5 - 15750 = 0.\nAnswer: -6, 4375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -189, -188, -189, -192, -197?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 8*c + 12. Let y be t(9). Suppose -w = y*u - 4*u - 10, -u - 14 = -3*w. Let b = 3 - u. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18105620.\nAnswer: 2, 5, 13, 83, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 157*h + 140*h - 328*h - 2 to the form r*h + o and give r.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2. Let z(c) = -27*c - 22909. Calculate z(v(l)).\nAnswer: -81*l**2 - 22909","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 492\/11193*-143*14\/(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(243))*4*6 + (2*(sqrt(243)*-1 + sqrt(243))*2)**2.\nAnswer: -24 + 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 5 = 13*q. Find the second derivative of -65*m + 5298*m**q - 5337*m**5 + 2*m**3 - 1 - 2*m**3 wrt m.\nAnswer: -780*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 104, -375, -1206, -2389, -3924?\nAnswer: -5811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + 3. Let h(j) = 3*j**2 - 5. Let w(s) = -3*h(s) - 5*x(s). Let m(t) = -t. Calculate w(m(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Let l = 233\/7 - 1843\/56. Which is the closest to g? (a) -0.4 (b) -2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1901645 divided by 5.\nAnswer: 380329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -1\/2*q**2 - 2*q - 1 - 400\/3*q**3. Let h be g(-2). What is h rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 0*l**2 + 2*l**2 + 2*l**2 + 3 in the form k*l + s + f*l**2 and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*j + j. Let q = -30 + 33. Suppose -q*f = 5*m - 37, 0*m + 4*m = f + 16. Solve -2*o + j*o = f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43989 is divided by 156?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -27. Put 5\/4, 0.2, t in descending order.\nAnswer: 5\/4, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -10*b**3 - 12*b**2 - 22*b - 13. Let h(r) = -3*r**3 - 4*r**2 - 7*r - 4. Let o(x) = 14*h(x) - 4*n(x). Factor o(y).\nAnswer: -2*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 851 and 138.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5362?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63802 and 2484782?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.224 + 0.052. Round x to 2 dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 19, 22, -4 in descending order.\nAnswer: 22, 19, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15599 + 238647. Let w = -223047.880003 + s. Let t = w + -0.12. Round t to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 865188?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65220?\nAnswer: 2, 3, 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -31. Let n be (x - 1) + (-4)\/(8\/42). Let u = 1 - n. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 17 = -2*k + c, 4*k - 66 = 3*c. Suppose -5*j + k = -5. Calculate the least common multiple of 13 and j.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60656407 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: What is -6 divided by -29213?\nAnswer: 6\/29213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5570080 by 80.\nAnswer: 69626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (71 - 4 - 30\/5) + (-5 - -5)\/(-9).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 10. Let z be h(-8). Let y be -4 + (z - -4) - -4. Let d = 18 - y. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/11)\/(x*x*x**(-2\/3)) assuming x is positive.\nAnswer: x**(-53\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27.029 or -285?\nAnswer: -285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4653963001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 12:12 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4*j - 2209 = -2061, 19*j - 178 = -5*s for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 14 = 5*z, 4*z + 3*r + r = 12. Suppose 3 = a, 2*a - 11 = 60*n - 61*n. Sort -24, n, z.\nAnswer: -24, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -438 (b) -4 (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 12:00 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*h - 32 - 57 = 0, -4*h - 8 = 0. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -0.1. Let m = -0.86 - 84.14. Let s = m + 85.5. Is d at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 656.811m in micrometers?\nAnswer: 656811000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1749*v**2 + 26120*v - 52316*v + 26196*v.\nAnswer: -1749*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -39, 5, 0 in decreasing order.\nAnswer: 5, 2, 0, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -362382, -724767, -1087152?\nAnswer: -1449537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**19)\/x*(x*(x*x\/(x*x**(-2\/5)\/x))\/x)\/x)**(-31))**(-36))**(25\/2) assuming x is positive.\nAnswer: x**284580","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*o - 5*o, 0 = 5*p + o + 9. Let l = 50\/33 + 5\/33. Put p, 2, l in ascending order.\nAnswer: p, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*i + 0*i = 2, 3*w - i + 8 = 0. What is the units digit of 24 - (w - -3)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3570 by 17.\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68*b**3 + 56*b + 1123 wrt b.\nAnswer: -204*b**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-8)\/(-10) + -2. Sort 3, w, -4\/3 in descending order.\nAnswer: 3, w, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4390850197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21798061 rounded to 2 dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ssyyabyyabyyaaaza?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.66 to zero decimal places.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 1231230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1512 - 1511.6. What is the closest to -2\/5 in -2\/9, -0.4, 206\/5, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 34.1, 5, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3982 + 3980.037. Let b = 0.257 - n. Round b to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 85*h - 1498. Let c be p(18). Solve 3*j + 5*g = c, -23*j - 4 = -20*j - 4*g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*75\/50.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 19*t**5\/5 - 87*t**2\/2 - 11*t - 8. Find the first derivative of v(d) wrt d.\nAnswer: 228*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2083 - 56*l**3 - 4166 + 2083.\nAnswer: -56*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4713 is divided by 392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.8926 times -10188\nAnswer: 9093.8088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 105882*j**4 + 227*j - 117631927.\nAnswer: 423528*j**3 + 227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.5, 0, -17, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 248461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - v. Let c(a) = 2*a**2 - 8*a + 2. Let q(f) = c(f) - 5*y(f). Let h be q(1). What is the remainder when 27 is divided by 5*(h - 3 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 1. Let m(v) = -5 + 6 - 5*v + 5. Let p(u) = -2*u + 2. Let r(g) = 3*m(g) - 8*p(g). Determine 5*l(b) + 3*r(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8263?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133 + 172. Calculate the highest common divisor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -900 = 39*h + 52*h + 9*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7003 or -7158?\nAnswer: -7003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1286596925 to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003410 (base 5) to base 16.\nAnswer: 3ee9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0.06249, -2\/9 in ascending order.\nAnswer: -15, -2\/9, 0.06249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -163 - -162.8. Sort n, -3, -0.5 in ascending order.\nAnswer: -3, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2361.\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -395 - -45?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 3*t**3 + 2*t**3 - 4*t**3 - t**3 to r*t + p + g*t**2 + k*t**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y + 10 = 0. List the prime factors of y*(-1)\/(-1) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.2 (c) 2 (d) 539\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r**3 + 9*r**2 - 11*r - 9. Let k(m) = -3*m**3 + 5*m**2 - 6*m - 5. Let w(q) = 4*f(q) - 7*k(q). Determine w(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*y**3 + 107*y**3 - 5326*y + 5326*y.\nAnswer: 363*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(j\/j**0)*j))\/(((j**(-1\/2)*j)\/j)\/j)*((j\/(j**(-1\/4)\/j))\/j)\/j**(-7) assuming j is positive.\nAnswer: j**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.39, 1, 0.03106 in descending order.\nAnswer: 1, 0.39, 0.03106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/4? (a) -2\/80057 (b) -2\/13 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrrrdrrxrxrrrrx?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 2:34 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i, 481 - 71 = 2*n + 2*i. Which is smaller: n or 207?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37, -73, -109?\n\"Answer: -36*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of d**4\/4 - d**3 - d**2 + 7*d + 6. Calculate the remainder when 58 is divided by g(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 69674586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + -52. What is the remainder when 10 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Let x(p) be the third derivative of -p**6\/120 - p**5\/60 - p**4\/24 + 2*p**3\/3 + p**2. What is x(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 20*i**2 + 96*i + 11. Let m be r(-24). Solve -8*o + 37 + m = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060275 to the power of 1\/2, to the nearest integer?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 110672 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32818366*s**4 - 7*s**2 + 38249*s + 124.\nAnswer: -787640784*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**7\/6 - 47*r**6\/24 - 7*r**5 + 115*r**4\/6 + 80*r**3\/3 + 500*r**2. Determine f, given that l(f) = 0.\nAnswer: -2, -2\/7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 3*r**2 - r + 3. Let n be o(3). Let a be 0*(2 + 0 - 3). Is n at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -1\/33*q**6 - 6\/55*q**5 - 9 + 2\/11*q**3 + 2\/11*q**2 - 1\/22*q**4 + 0*q. Let o(m) = 0. Calculate m.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 21395178.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 13 + 25)*(2 + 1 - 4)*((6*n - 4*n + 4*n)*(0 + n + 0) + n**2 + 4*n**2 + 3*n**2).\nAnswer: -182*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5400 by 540.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 1) + 94 + -91?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by -41\nAnswer: 68\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 561*c*z**3 - 604*c wrt z?\nAnswer: 1683*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = k - 5*u, -5*k + k + 10 = k - 22*u + 29*u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 2*i**2 - i**2 + (10*i**2 - 5*i**2 - 33*i**2)*(-3 + 1 + 1) + 36*i + 6*i**2 - 36*i.\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 275240196 a multiple of 868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82997 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = -5*j + 15*r + 80, -5*r = 20. List the prime factors of 1204 - 42\/(-6 + j).\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006411352 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 8:09 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5699647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyffyffffyfyfyyf.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 15 = 8*l, 4*g - 20 = 2*l - 32 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 6*y**2 + 8*y + 4. Let a be l(4). List the prime factors of a\/10 + 828\/30.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207094?\nAnswer: 2, 17, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9\/7, 3\/7, -1, -66\/35?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -26*x - 93 + 269 - 97. Let w be i(3). Suppose 3*h + 2*y - 6 = 9, 2*h - 2*y = 10. Solve -h*m = -5*t + 20, w + 7 = -4*m for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/6*(-140950 + -29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21906 + -21912. Put -5, -4\/5, 0.3, p, -2\/13 in ascending order.\nAnswer: p, -5, -4\/5, -2\/13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1323382 or 1323383?\nAnswer: 1323383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -610446, -610495, -610544, -610593, -610642?\n\"Answer: -49*p - 610397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1) - (15 - 28 - -3). Solve -4*c + j = 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 17. Let q = y - -31. Suppose -49 = -q*a - 7. What is the greatest common factor of 54 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10168287 to the nearest one hundred thousand.\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 7\/2*w**2 + 5*w - 35 + 1\/4*w**4 - 8\/3*w**3. Determine j(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*d - 454 = 0, f - d + 457 = -3*f. Let o = 162 + f. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3847\/25090 + 1\/1930. What is the biggest value in i, 21\/29, -1\/3, 0.2?\nAnswer: 21\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.732744 and 0.4.\nAnswer: -4.332744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -631*m**5\/20 + 285*m**4\/4 + 56*m + 2. What is the third derivative of b(y) wrt y?\nAnswer: -3786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1967 = 5*o + 2*k, 2*o + 3*k - 770 = -2*k. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 187 - 45. Let y = -141.8 + u. Let o = -215\/1364 + -3\/124. Which is the closest to -7? (a) -0.1 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/15*((-9946)\/(-524) - 19). Let q = c - -1052\/393. Let -4\/3*y + 4*y**2 - 4\/3 - q*y**4 + 4\/3*y**3 = 0. What is y?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43480 is divided by 7150?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - b - 2*b - 5*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*f = -398, 3*f - 90 = o + 31. Let m = 206 + o. Which is bigger: m or 69?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10715*-9.5\nAnswer: 101792.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 344446 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 19*l + 962. Let w(t) = -t**2 - 66*t - 2887. What is 7*r(q) + 2*w(q)?\nAnswer: -2*q**2 + q + 960","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/19? (a) -3 (b) 0 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*n**3 - 32542*n**2 + 344656*n - 74360 = 0.\nAnswer: -286, 13\/59, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/3*(-2)\/((-8)\/(-3)). Suppose 2*j + 0 = 5*q + 1, -q = j + n. Let c(b) = 2*b**2 - b + 1. Give c(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 290 * 75\nAnswer: 21750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124 - 125)*(-1 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/12*4*1. Suppose 4 = v, -z*q = -2*q + 3*v - 75. Calculate the remainder when 60 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -453494175.\nAnswer: -453494180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 4*k**3\/3 - 2*k**2 - k - 52. Let i(s) = 3*s**3 - s - 1. Let d be i(-1). What is the tens digit of a(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000407 to 6 decimal places.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**4\/4 + 2*k**3 - 7*k**2\/2 - 3*k + 4. Let v be w(-7). Is 254*(21\/6 + v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11400 and 8072.\nAnswer: 11502600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1322 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/33413 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(-2*v + 3*v + 7*v)*(3 + 0 - 4).\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 9*s - 117, 0 = -5*s + s - 5*o + o + 1755 - 1703 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a + 22. Let l be p(9). What is the third biggest value in 0.4, l, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 271 + -364. What is the third biggest value in -0.1, 0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 1)*(0*m**2 - 11*m**2 + 3*m**2).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + -14 - -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163 - (-149 + 21 - -45).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32037908?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**5*f*f\/(f\/f**(2\/33)))\/(f**15\/f**(-3\/8)))**(-18\/11) assuming f is positive.\nAnswer: f**(6585\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*h + 143 = -122, 0 = -2*z - 3*h + 106. Let x = -29 + z. Let t = -29 + x. Put -4, t, 4 in decreasing order.\nAnswer: 4, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, -435, -946, -1661, -2580, -3703?\nAnswer: -5030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 648.1375?\nAnswer: -645.1375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/10*4\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 17614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = s - 24. Suppose -s*y - 24 = -0. What is the remainder when (68\/y + -2)*(-4)\/3 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16171732\/135 - -119790. What is the common denominator of z and ((-2)\/(-2))\/(-5 - (-406)\/91)?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - -3 - (35 + -25). Calculate the remainder when 276 is divided by (1 - (-3)\/9)\/(z\/(-315)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 1)*(0 + 0 + y**2)*(-7*y**2 + 6*y - 6*y) + 19*y**4 - 5*y + 15*y**4 - 35*y**4 to h + b*y + d*y**3 + c*y**2 + g*y**4 and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -128*j**2. Let p(l) = 9*l**2 - 15*l**2 + 0*l**2 + 8*l**2. Give u(p(w)).\nAnswer: -512*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from qqrqqeqrppepteqeee.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*f + 15 = 21, 5*f - 10 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 496259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 0*j + 0*j - 3*j + 3538*j**3.\nAnswer: 3538*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4164407\/7 - 594893. Suppose 6\/7*a**2 + 0*a + 0 - 171\/7*a**4 + 9\/7*a**3 + g*a**5 = 0. What is a?\nAnswer: -2\/13, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*9\/144*-4. Suppose -4*g + 3*g = -v. Solve -1 - g = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1. Let g(h) = 2*h - 3. Suppose 2*f = -u + 3 + 6, 11 = -5*u + 4*f. Let i(a) = u*g(a) - 3*j(a). Let p(s) = 20*s. Give i(p(z)).\nAnswer: 40*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -12\/17, 0.05, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 138945304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8542 - 17083\/2. What is the closest to 2\/3 in h, -7, 2, -14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 10*a + 20 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*v = -43, -4*v + 171 = -11*k + 16*k. Suppose -9*z = -k*z - 22. Which is the third smallest value? (a) -3 (b) z (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149500732?\nAnswer: 2, 4871, 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8764150 divided by -15242\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 792\/(-21)*(-21047)\/(-4857)*(-2)\/52?\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43\/15 + -313\/90. Find the common denominator of w and (-118)\/28 - (4 - 3).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.7589722 months to millennia.\nAnswer: 0.00022991435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 20*l**2 - 28. Let y be n(-16). Calculate the highest common factor of y and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -495*a**2 - 20800*a - 420.\nAnswer: -5*(a + 42)*(99*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-960)\/75)\/16)\/((-2)\/(-15))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 143637170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71.9 + -54.493.\nAnswer: -126.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 (base 10) in base 4?\nAnswer: 10303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 34775, 34772, 34761, 34742, 34715?\n\"Answer: -4*a**2 + 9*a + 34770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g - 4*g)*(-4 + 4 + 2*g) + 2*g**2 - 5*g**2 + 4*g**2 + 4 - 4*g**2 - 9 + 3.\nAnswer: -7*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.55489199 rounded to two decimal places?\nAnswer: 37.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 4*h - 10 = 0. Suppose 6 = -k + 5*w, -h*k + 14 = -k + 5*w. Is 2 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*12\/12*(-2)\/(-23)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 286*z**4 - 2 + 2394*z**3 - 2396*z**3 - 57*z**4 to d + p*z**3 + f*z**4 + x*z**2 + l*z and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 35*b**2 - 210*b + 8. Let x be u(6). What is the third derivative of -1 - 7 + 131*f**4 + 6 + x + 14 + 2*f**2 wrt f?\nAnswer: 3144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 0 - 20. Suppose -h = -3*h - v. What is the second smallest value in h, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4570969, 9141950, 13712931?\n\"Answer: 4570981*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.10012738\nAnswer: 0.010012738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 (base 11) in base 16?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 136, 282, 438, 604, 780, 966?\n\"Answer: 5*d**2 + 131*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*a + 14 - 44 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(1*(sqrt(14) - sqrt(14)*-1))\/(sqrt(2) - -5*-2*sqrt(2)).\nAnswer: -16*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 29*j - 19. Let i be v(15). Suppose -4 = -2*f + 16. What is the tens digit of 5\/(f\/i) - -71?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from illilkllili. Give prob of picking 3 i and 1 k.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-3))\/(1547\/(-195) - -8). Suppose 0 = 5*u - 2*k, k = 3*k - p. Let 6\/5*w + 2\/3 - 4\/15*w**u = 0. What is w?\nAnswer: -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*n**3 - 39*n**3 + 178*n**3 - 40*n**3 - 60*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -13. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 21. Let v = p + -3. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 18*r**2 - 58*r - 35. Calculate i(23).\nAnswer: -4014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/964 and -83\/1063774.\nAnswer: 2127548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-573903)\/186)\/(-121))\/((-8)\/(-112)*7)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -623 - -411. Let m = h + 212.00000112. What is m rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 - 2*r**3 + 6*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34, -35, -40, -49, -62, -79, -100?\n\"Answer: -2*d**2 + 5*d - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g + 56311 - 58723 = 0. Solve -g*u + 112 = -89 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 505*h**3 - 8*h**2 - 27008?\nAnswer: 1515*h**2 - 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c**3 + 186*c**2 - 144*c - 63. Determine a(-24).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 - k**3 - k**4 + (2*k**2 + 0*k**2 - 3*k**2)*(0*k - 2*k**2 + 0*k) + (2 + 1 - 7)*(14*k**4 + 17*k**3 - 17*k**3).\nAnswer: -55*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1841*p**3 + 3697*p**3 - 1854*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, r: 5, f: 5}. What is prob of picking 2 r?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 - (61 + -23 + -82) - (9 + -1).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-1 + (-3 - -15). Let l(o) = 1 + o**2 + 2*o - 5 + 20 - 14*o. What is the least common multiple of 6 and l(y)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*f + 2 = -193 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.87934 weeks to milliseconds.\nAnswer: 2951024832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29852*j - 30112*j - 16120 = 0 for j.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -g - 3*a, 0*a + 2*a + 10 = 4*g. Solve -14 = 4*u - q, 3*q - 96 + 90 = g*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = l - 5*l + 2*k, -2*l + 50 = k. Suppose -4*m = 3*v - 27, v - 1 + 3 = -5*m. Calculate the remainder when l is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-32 + 29 + (-12 - (8 - 6)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**3\/6 - n**2\/2 + n. Let a be h(-6). Solve 0*p - 10 = -2*t - 3*p, -t - p + a = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2\/39 (c) 0 (d) 4.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 + -61. Suppose -38 = -5*l - 13. What is the greatest common divisor of k and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 + 77. Let g(n) = -n**3 + 9*n**2 + 7*n + 3. Is g(a) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1337*0.29.\nAnswer: 387.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 32*q - 41. Let v be s(9). What is the highest common factor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdv when three letters picked without replacement from {v: 1, q: 1, b: 1, x: 4, d: 4, s: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55904 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 591052 (base 16) to base 12\nAnswer: 1b559aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11285\/43 or 261?\nAnswer: 11285\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19608362 = -47*a - 2587923. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (2 + 1 - -6) - -9\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*j + 14 = 0, -3*u - 1 = 2*j + 25. Let l(s) = -s**2 - 7*s + 4. Determine l(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10 - 10 = 0. Suppose -g*o - 3*k = -2*k - 28, -k + 10 = o. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*(((-1 + sqrt(405))*-2 - (1 + 1 + sqrt(405)))*-1)**2.\nAnswer: 14580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/3 + -2. Which is the closest to 3? (a) y (b) 1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657*v + 619*v + 2046490 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6c (base 15) to base 11\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1617 + 2358. Round o to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 158.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93\/739 + -69887\/279342. Let z = 323\/5778 + -4\/107. Let p = z - v. Are -1 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 87\/4759645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11332431137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/1 + (-42)\/30. Let i = -1.3 + 0.8. Let d = -89 + 622\/7. Which is the nearest to q? (a) -5 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2))**(-2\/13) assuming n is positive.\nAnswer: n**(-1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1102413456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 30713947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*o*y - 165*h*o + 2*h*y**3 - 672*h*y**2 + 2*o*y**3 - o*y**2 wrt o.\nAnswer: h*y - 165*h + 2*y**3 - y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464767525.\nAnswer: 5, 18590701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -43*r**3\/6 - 2*r - 4620. Let n(c) = c. Let y(j) = j. Let k(f) = 3*n(f) - 2*y(f). What is k(g(v))?\nAnswer: -43*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + 0 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9753219 centuries?\nAnswer: 1170.38628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 110370 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: Rearrange -20*u**4 + u**2 - 31*u**4 + 48*u**4 + u**2 + 3 - 5*u**2 + 92*u to the form d*u**3 + n*u**2 + o*u**4 + h*u + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 + 29*z**2 + 0 + 0 - 18*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**4\/4 + 5*a**3\/2 + 6*a**2 - a. Factor r(n).\nAnswer: 3*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -2)*(-49)\/3. Suppose 225 = 3*a + 3*b, a - 5*b + 4 = o. Let w = 88 - 60. Calculate the greatest common factor of a and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161869189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m**3 + m + 1. Let t be a(-1). Suppose u + t*s - s - 18 = 0, -2*u + 3*s = -3. What are the prime factors of u\/10 - 42\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -665364*t**3 - 27*t - 10 + 665360*t**3 + 1 to the form x*t**2 + p + u*t**3 + k*t and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 389177, 1556696, 3502561, 6226772, 9729329, 14010232, 19069481?\n\"Answer: 389173*v**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -19. Suppose 10 = 3*h + 4*w, -4*h + w + 9 = x*w. Find the second derivative of 7*q - 10*q + h*q**2 + 5*q wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/13585 and -25\/38?\nAnswer: 27170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 65364962.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2056 + 4860 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -52 + (103 - 57).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14529, -30860, -47191, -63522, -79853, -96184?\n\"Answer: -16331*c + 1802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-1) + 3)*1. Find the second derivative of -22*o + 2*o**5 - 3*o**u - 2*o**5 + 19*o wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**3 - 2*g**2 + 2*g + 3. Suppose p = 180*t - 178*t - 10, -3*p + 5*t = 26. Let v(z) = -4*z**3 + 3*z**2 - 3*z - 4. Give p*v(b) - 3*y(b).\nAnswer: -b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23, -24, -25, -26?\n\"Answer: -w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -111101?\nAnswer: -111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0673 take away -1.35?\nAnswer: 1.4173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 45123\/21496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 94*a**2*t + 25*a**2 - 3*a + 303*t + 54 wrt t?\nAnswer: 94*a**2 + 303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from {r: 14, y: 4}?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 41*b - 203. Let a be d(5). Solve 7*p = a*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0814 - 67.7814. Let s = v + 71. Round s to 1 decimal place.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*k**3*m*n*w - 12*k**3*m*w**2 + 2*k**3 + 21*k**2*m*w**2 - 18*k*m*n + 2*m - n*w**2 wrt n?\nAnswer: -9*k**3*m*w - 18*k*m - w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*t = 9, -i + 12 = 2*i + 4*t. Let f(y) = 2*y**2 + 5*y + 4. Let j be f(-3). Suppose i = x - j*x + 198. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - q**2. Let o(c) = c - 4*c + 2*c**2 + 3*c - c**3. Suppose 5*k - 2*b - 2 = -1, -5*k = 3*b + 14. Let w(v) = k*o(v) - 2*g(v). Factor w(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-3) + 3 - (-253 + -5).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68 or 3.1?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1131*d - 246. List the prime factors of i(2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 9*c + 15 = 8*c, 4*c = -5*f - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = -2*q. Let i = 12 - 11. What is the nearest to i in -5, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 97, 96, 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*(-3)\/(-15)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39198279 plus 0.03?\nAnswer: -39198278.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29557 + -205515\/7. Let d = g - 198. Which is the closest to d? (a) -3 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u - 6. Let m be l(6). Let w be ((-800)\/m)\/((-2)\/(-27)). What is the greatest common factor of w and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 - -345354?\nAnswer: 345300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 59?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 10 = -0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 11)*4\/7. Let d be (v\/(-14))\/(-4*2\/448). Calculate the highest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -4919.\nAnswer: 2\/4919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 89. Calculate p(-29).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 844\/7 + -120. Let h(n) = n + 15. Let b be h(-11). Let w = -43\/9 - -5. What is the smallest value in w, 1, r, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 75*d + 15. Let w(b) be the first derivative of 15*b**2\/2 + 3*b - 6. Let s(k) = 4*n(k) - 21*w(k). What is the tens digit of s(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-42))\/(58\/(-203)))\/(2944\/288)?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*d + 2 + 1, -2*t - 5*d + 2 = 0. Let k be (1 + -1)*t\/3. Suppose 0 = p - k*p - 37. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 5:31 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1205 (base 7) to base 9.\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 13020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122122 (base 3) in base 11?\nAnswer: -9a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -124442.3 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*p**2 + 1 + 37*p**2 - 36*p + 20*p**2 + 36*p**2 to j*p + v + u*p**2 and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 180608*a**2 + 2*a + 664613 wrt a.\nAnswer: 361216*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d - 506 + 506. Let k(m) be the second derivative of -m**5\/30 - m**2\/2 + m. Let j(f) be the first derivative of k(f). Determine x(j(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47730201 to the nearest integer?\nAnswer: 6909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or -251\/21?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 29*x + 4. Let c(b) = -14*b - 2. Determine -5*c(d) - 3*y(d).\nAnswer: -17*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1316340 (base 8) to base 10.\nAnswer: 367840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -159943, -155374, -150805, -146236, -141667?\n\"Answer: 4569*s - 164512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1036591 + -1036625.00034. Let u = -7 + -27. Let q = u - r. What is q rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*b - 74 = -m, -10 = -5*b. Differentiate 5 + 25*r**3 - 25 - m*r**3 with respect to r.\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {q: 1, p: 7, b: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and -36.104034?\nAnswer: 42.104034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + sqrt(17)*-1 + 1) + 3 + 5.\nAnswer: -6*sqrt(17) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -55767.\nAnswer: 836505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -62 + -4 - (92 + -53).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 33. Suppose -2*x - 6 = x. Let i(k) = -k. Let h(d) = 4*d + 2. Give f*h(c) + x*i(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 853 + -834. Put d, 5, -281, -5 in descending order.\nAnswer: d, 5, -5, -281","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - 8*i - 2. Let m(o) be the second derivative of 0*o**2 - 1\/6*o**3 + 0 + 3*o + 1\/12*o**4. Let c(y) = 2*m(y) - v(y). Factor c(z).\nAnswer: 2*(z + 1)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 8*d - 3. Let s be (-124)\/(-9) - 4\/(-18). Suppose 4*j = 2*o + 4, 2*j - s = -o - o. What are the prime factors of l(o)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = -4*w, 37 = 3*m - 0*m + w. Suppose 0 = d - 5*d + m. Let g(i) = i + 4. What is g(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + -4 + 6 + -1. Sort 3, c, 1, -15.\nAnswer: -15, c, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/61368 and -14\/3628383?\nAnswer: 29027064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**2 + 4*h. Let w(z) = -3*z + 11*z**2 - 5*z - 1 + 1. Let g(o) = -5*u(o) - 2*w(o). Find the second derivative of g(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 64*l**2*u - 1423*l**2*y - 2*l**2 + 6*l - 17*u*y + 3*u wrt y?\nAnswer: -1423*l**2 - 17*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 7*v**2 - 7*v - 10. Let z be s(-7). Let j = z - 66. Let r be (j\/(-15))\/(6\/20). Solve -d = -r*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (186\/4)\/(21\/28). Are 63 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/1 + -9)*4\/(-2). Let n be 1 + 29 - (10\/5 - -2). Differentiate -n - b + 41*z - 3 wrt z.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100110110001 (base 2) to base 13.\nAnswer: 6951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 27 = 7. Let x(l) = 2*l - 8. Let d be x(r). What is the first derivative of f - 8*f - 4*f - 1 - d wrt f?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2298 + -4868. Let x = d - -903. What is x rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y = 0. Suppose -3*z + 5*s = z + 6, y = z + 2*s - 5. Put 0, 2, z in descending order.\nAnswer: 2, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 30 = -2*k - 0*k, -2*h + 30 = 4*k. Suppose 12*q - 4144 = -4144. Solve h*o = -3*x, q = -5*o - 2*x + 3*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 166*b**2 - 480*b - 4506. Give k(169).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 21\/9) + -2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 58 - 4*j**2 + 101)*(-3*j + 3*j - 2*j) + (-2*j**2 - 2*j**2 - 6*j**2)*(j + 0*j + j).\nAnswer: -12*j**3 + 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 234.8 and -0.1?\nAnswer: -23.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 213 = 3*d, -2*h - h - 2*d = -127. Let z be 3 + -6 - h\/(-18). Is z less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 453475751 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -20. Let f = 0 + l. Let q = f - 3.55. Round q to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 15*r - 220. Let c be u(12). Let z = -39 - c. Suppose -3*l + 10 = 2*l. Sort z, l, -3 in increasing order.\nAnswer: -3, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142784 - -0.2.\nAnswer: 142784.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**2\/5 - 51136*f\/5 - 153444\/5 = 0.\nAnswer: -3, 12787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.92 + 0.08. Let z = v - 9.999944. Round z to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/66 - 53\/(-11). Suppose 0 = z*d - 0*d - 1130. Suppose d = -6*n + 8*n. What are the prime factors of n?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 355 and 127.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (165\/(-3762))\/((-70)\/168)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47.42 + -48. Let y = -0.06 + g. Round y to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 + 712 = 192*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.249 or -2\/1010437?\nAnswer: -2\/1010437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31496, -31759, -32022, -32291, -32572, -32871?\n\"Answer: -k**3 + 6*k**2 - 274*k - 31227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/19 - 184729806*j**3\/19 - 5687516870799606*j**2\/19 - 58369660453585460069802*j\/19.\nAnswer: -2*j*(j + 30788301)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.34 + -0.06. Let h be 2 - (69\/6 + -3). Let w = -6 - h. What is the third smallest value in w, 6, r?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7007, -28026, -63063, -112118, -175191, -252282?\n\"Answer: -7009*i**2 + 8*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 12*r - 55. Let b(q) be the second derivative of q**4\/6 - q**3\/2 - 6*q**2 + q. Let t be b(r). What is the greatest common factor of t and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**6\/360 + s**4\/24 - s**2. Let w(a) be the second derivative of t(a). Let v(j) = j**2. Calculate w(v(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2111576 + -77?\nAnswer: -2111664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 41*d + 25. Let z be w(13). What is the nearest to 0 in 3\/5, z, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (30 - (-26 + 29))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*l + 848. Let h = l + -109. Which is the second smallest value? (a) -4 (b) -0.5 (c) -0.05 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5*f**5 - 345*f**4 + 745*f**3 + 2505*f**2 + 1420*f = 0.\nAnswer: -71, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28851349, -28851342, -28851341, -28851352, -28851381?\nAnswer: -28851434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7319 and 526177548.\nAnswer: 7319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1038, -1041, -1046, -1053, -1062?\nAnswer: -1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 10:04 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 4:24 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 933981 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 363569.7l to millilitres.\nAnswer: 363569700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 8*o - 1. Let y(k) = -2*k**2 - 9*k. Let a(d) = 3*v(d) + 2*y(d). Let b(f) = -f + 6. Let n be b(8). Let g = n + 6. Determine a(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 10) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*n - 150*n - 302*n - 245*n + 123*n to h*n + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-3)\/6 - -1. Let k be 1\/(4\/(29 + 3)). Suppose -33 + k = -5*q. Solve -4*m - q = -t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*sqrt(833)*-2*-4 - (2*sqrt(833)*1*-1)**2)*-5.\nAnswer: -99960 + 5040*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**3 + 0*p**3 - 2*p**4)*(-1 + 3 - 4 + (27 + 28 - 59)*(-5 + 1 + 2)) in the form w*p**2 + b*p**3 + f*p + t + m*p**4 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11362?\nAnswer: 2, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 941770609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w + 195 + 144 = -687 - 1284 for w.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 - 3*m**2 + 36*m + 3. Let h(n) = -n**2 + 1. Determine -3*h(d) + q(d).\nAnswer: -2*d**3 + 36*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/4)\/(2\/8). Let q(n) = 2*n**2 + 14*n + 3. Let b(v) = -v**2 - 3*v - 946 - 4*v - 2*v + 944. Calculate k*q(m) + 8*b(m).\nAnswer: 2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16422 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 - -2.02. Let p = q - 0. Let v be (4\/(-48))\/(8\/12). What is the second biggest value in p, v, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (6 - (6 + (5 - 4)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010111111111011010 + -111?\nAnswer: -110010111111111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7*(-16 - (-2 - -1)). Suppose v + 51 = 3*u. Calculate the remainder when 11 is divided by 1\/(-2) + u\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f8e + -1?\nAnswer: -2f8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 5.79.\nAnswer: 6.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1985 - 29761\/15. Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1843 - -93. Round f to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 12 = -5*f. Suppose -f*b = 8*b - 1956. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2408, -4815, -7222, -9629?\n\"Answer: -2407*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 12 + 18 = 0. Suppose -f*t + 11*t = 145. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o + 86*o - 29*o + 60*o.\nAnswer: 90*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s = -16*s - 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1 + 3 = 0. Let g be ((-78)\/12)\/(d\/(-316536)). Let v = g + 1297484. What is v rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 6*u**2 - 2*u. Let b be k(-6). Suppose -6*j + 10*j = b. Find the second derivative of j*x + 3*x**4 + 0*x + 4*x**4 wrt x.\nAnswer: 84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77*-0.094\nAnswer: 7.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 103, -9, 2\/13, 9, 4\/13 in descending order.\nAnswer: 103, 9, 4\/13, 2\/13, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3*d + 2*d)*(0*d + 4*d - 2*d)*(6607 - 1853 - 2*d - 3455).\nAnswer: -4*d**3 + 2598*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -3\/2*n**2 - 9*n + 22 - 1\/12*n**3. Factor b(a).\nAnswer: -(a + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 219 + 552 = 0. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 o when two letters picked without replacement from oojjj?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*3*(-5)\/(-75)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -7\/72 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = -6*t + 261. Let d(n) = -7*n + 720. Let k be d(t). Round k to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*f + 323*f**2 - 4*f**3 - 158*f**2 - 162*f**2 to t*f**2 + a + o*f + v*f**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/5 + -5 + (-87)\/(-15). Solve r = -5*y - j - j - 19, -j - 5 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -13981*k - 4247. Is 255 a factor of t(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oboddvbdboxdda. What is prob of sequence dbo?\nAnswer: 15\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0 - 4. Suppose y + b*k = -3*k + 32, 5*y - 5*k = 10. Suppose 2*x + 75 = y*x + 3*r, 5*r - 65 = -5*x. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*v, -5*n + 3*v + 0*v + 0*v = 0. Solve -x = -d + 4, 4*x + n*d + d + 26 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502182971101.4 less than -5?\nAnswer: -502182971106.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 69 - 59 = 0. Round s to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 544 and 5?\nAnswer: 2720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-51)\/(-119) + (-1000220)\/(-56) + (-3)\/2?\nAnswer: 2, 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = c + 1 + 7, -3*c = -3*i + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26.8 and 47011.\nAnswer: -1259894.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12)\/9*(-195)\/10.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -22. Let s = -0.04 + 0.14. Let h be 4\/10 - 4\/(-15). What is the nearest to h in 2\/5, d, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 4 = 67*d + 45 - 223 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 e when four letters picked without replacement from eehheeeeeehe.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**7\/840 + m**6\/72 + m**5\/40 - m**4\/24 - 22*m**3\/3 - 118. Let i(j) be the third derivative of z(j). Give i(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 3 - 2*n + 2\/3*n**3 + 2*n**2. What are the prime factors of h(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lovvyjyk. What is prob of picking 2 v, 1 j, and 1 l?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(sqrt(605) + -2 + sqrt(605))*1.\nAnswer: -3 + 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5791464 and 1850051.\nAnswer: 133203672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2194 divide 1044830977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21\/13? (a) 1 (b) -93 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 9016798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 85520 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/15084 and 27\/323468.\nAnswer: 2911212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 80a0?\nAnswer: -809a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2998 + 2940 - 4*d - 6025. Let v(b) = -2*b - 43. Calculate 2*c(a) - 5*v(a).\nAnswer: 2*a + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o, 0*a + 20 = 5*a - 3*o. Suppose g - a*g = 3*k + 3, 4*g = 3*k - 25. Suppose -9 = -5*p + 6. Solve k*w = 4*d - 18, w = -3*d - p*w + 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2253 - 6761\/3. Which is the closest to -3? (a) -0.1 (b) i (c) -0.3 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-5)\/50)\/(12\/(-10))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*h**5 + h**4 + 370*h**3 + 121585*h wrt h.\nAnswer: 300*h**3 + 12*h**2 + 2220*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8291517.9999999 - 8291516. Let t = -2.02 + 0.02. Let z = t + l. What is z rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 4. Suppose 2*v + 4 = 5*c, 3*v + c = -c - 6. Let n = 4 - v. What is the greatest common divisor of j and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2080 and 262210.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -5*j**4\/12 - 5*j**3\/3 + 15*j**2\/2 - 10*j. Find q, given that o(q) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*v*y**2 - 10976*v*y - 1180*v + 908 with respect to y.\nAnswer: 38*v*y - 10976*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-53)\/(-11) - 0) + 15 + -20?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2999*h**2 + 6055*h**2 - 2855*h**2 + 2 + 2.\nAnswer: 201*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -13\/60*p**5 + 0 + 0*p**4 + 2*p**3 + 0*p - 6*p**2. What is the derivative of m(t) wrt t?\nAnswer: -26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 263650487 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/((-420)\/(-6)) + 191\/26 + -7.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/(-24) + 2 + -6 + 117\/36.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/2 of a hour?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 629.2843 nanograms in micrograms?\nAnswer: 0.6292843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 10. Let t(c) = 53420*c. Give t(g(r)).\nAnswer: 106840*r + 534200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 14. Let f be v(7). Suppose -4*z - 5*y = -36, -z - f = -4*y + 5. Suppose z*r = r + 36. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 10*v - 4. Let i be j(12). What is the second derivative of -3*y**2 + 4*y**2 - 62*y + 75*y + i*y**2 wrt y?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 927687328 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63898703?\nAnswer: 11, 5808973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -763*f**3 - 4*f**2 - 38*f wrt f?\nAnswer: -4578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 19*n + 7. Let l be d(10). Calculate the greatest common divisor of l and 9673.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p**3 + p**2 + p - 2. Calculate i(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - 9*z - 9. Let n be g(-7). Let f = 46 + n. Let b = 14 + -9. Is f at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5 - 1 = 0. Let g(u) = -2*u - 2 - 3*u + 6*u. Calculate g(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 488321899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 37 - 18 = 5*x, -48 = -4*z + 5*x. Let q(r) = r**2 - 7*r - 2. What is q(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1049\/4, 71\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577690070.\nAnswer: 2, 5, 57769007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 1. Let t be a(-1). Solve 3*d + 15 = t, 2*s + 0*s - 5*d - 27 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5154 - 5154. Which is the second smallest value? (a) -12 (b) 1 (c) -0.2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4682?\nAnswer: 2, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -2*v + 4. Let z = 24 + v. Suppose t + 35 = 4*b + 27, -5*b = -t - 10. Solve t = -z*s + 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35434769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*g - 60*g + 15 = -17*c + 60*g - 178*g, -4*c - c + 5*g = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 541.9617t in grams?\nAnswer: 541961700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35995\/7 + -5151. Let r = k - -200\/21. Suppose -g - 2*g = -18. Which is the smallest value? (a) r (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94 (base 14) to base 13.\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20043564 by -3.\nAnswer: -6681188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14.106 and 475326?\nAnswer: 475340.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -173851 rounded to the nearest 1000?\nAnswer: -174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + 722\/(-8))*16\/(-6). Let t = -226 + d. Solve -6*b + t*b - 6 = 4*p, -5*p - 4*b - 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 2*b = -3*d - 352, -4*b = d - 88. Let f = 13 - 5. Calculate the greatest common factor of f and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50646 and 5872?\nAnswer: 405168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yryryyyyyyyyyyyyyyry. What is prob of picking 1 r and 2 y?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8772 and 6579?\nAnswer: 26316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2\/7, 165, -145, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 7*y = 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + 0. Suppose -10*n + 954 + 156 = 0. Let h = -100 + n. What is the smallest common multiple of w and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3337, -5, 1, -3 in increasing order.\nAnswer: -3337, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14964, -29961, -44958?\nAnswer: -59955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34101 is divided by 10653.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = 5*n - 132. Suppose 2*o = -y + 9, -o + 35 = 4*o + 5*y. Calculate the smallest common multiple of o and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -42*l**3 + 25*l**2 + 55*l + 290. Let p be i(-20). What is p rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 8947?\nAnswer: -3578.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5099581?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7102*o**2 - 6*o - 5. Is l(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.4 + 0.4. Is s at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127885, -1\/2, -1, 0.5, 2 in decreasing order.\nAnswer: 127885, 2, 0.5, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1501750 and 63\/6607700?\nAnswer: 33038500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2 - (-18)\/10). Let z be 10*(7\/d + -1). Let q be (-1)\/z + (-65)\/(-4). Solve 2*m + q = 6*m - 4*g, m - 5*g = 24 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y\/y**1))**41)**(-1\/14))**(4\/15))**(2\/67) assuming y is positive.\nAnswer: y**(-164\/7035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -264, -268, -272, -276?\n\"Answer: -4*k - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + ((1 + sqrt(75))*-5 - ((sqrt(75)*1 - sqrt(75) - sqrt(75)) + 5))**2 + -2 + -1.\nAnswer: 400*sqrt(3) + 1297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 38, 64 in increasing order.\nAnswer: -13, 38, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*y = -114, 2*f - 3*y - 193 = -2*f. Determine j so that -14*j**3 - f*j**2 - 2 - 32*j + 0*j - 2 - 10*j**3 = 0.\nAnswer: -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 285 - 1229*r + 2095*r**3 - 1252*r + 2485*r wrt r?\nAnswer: 12570*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 9*m**3 - 1173. Let x(c) be the third derivative of -c**4\/24 + 5*c**2. What is w(x(z))?\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + -32. Let p = -4 - f. Suppose 0 = 4*t + 2*g - g - 47, -g - p = -4*t. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184865425 is divided by 1545.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 2091493 and 2091493 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -r - 2*m, -4*r - 2*m + 1 = 3. Suppose -f + 0*f + r = 0. Suppose 0 = -v + 1, 2*v - 26 = -2*u - f*u. Calculate the highest common divisor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -235 - -160. Let p = -74.8 - o. Let a(k) = -7*k**3. Let q be a(1). Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 62609.01t?\nAnswer: 62609010000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - -0.2. Let d = 103313 + -103316. What is the nearest to d in t, -3, 8, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4 - 2*p + p + p**2 - 3*p. What is the units digit of n(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199369417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6843 is divided by 185.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z = 7*z - 280. Let n = z - -34. What is the smallest common multiple of n and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 at least 213\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 31 = r, 5*r = -5*m - 4 + 69. Let z = m - 8. Is (-2)\/(z\/(2979\/(-6))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j*j**(-2\/23))\/j)*(j\/j**11)\/j assuming j is positive.\nAnswer: j**(-228\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (10 - (58 - (-1 + -13 + 33)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 422212 - -10113?\nAnswer: 432330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 3*d - 14. Let i be o(-6). Solve 0*g + g = -i*n - 17, 5*g = -n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/7)\/((-495)\/(-2310)*56\/(-63))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (42\/(-20))\/((-96)\/40). Let x = -5\/8 + w. Let a = 0 + 0.2. What is the closest to x in a, -4, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/3)\/(7\/42*-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/32, -4\/7, 14, 1\/3 in descending order.\nAnswer: 14, 0.4, 1\/3, 1\/32, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*w - 59*w = -2264. Let b = 286 - w. Solve 0 = 3*k - 3*d - 12, 5*d = -b*k - 2*k - 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.16, 11, 4 in descending order.\nAnswer: 11, 4, 1\/4, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 plus 26910.7?\nAnswer: 26873.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 126*a**3 + 5468*a**2 + 91170*a + 411075.\nAnswer: (a + 7)*(a + 29)*(a + 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29\/93 - -20\/31. Which is the third biggest value? (a) -5 (b) -2 (c) z (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 6*p**2 + 8*p - 5. Let s be d(7). Let q(t) = -12*t + 0*t**2 + 9*t - t**s + 7. Let y be q(-4). Solve 2*w = w - 4*u + 17, -4*w = y*u - 16 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9337734 litres in millilitres?\nAnswer: 933.7734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * -2.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1206)\/1340*30\/(-72)*4\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*u**5 + 93*u**4 + u**3 + 127573*u**2 - u wrt u.\nAnswer: 1140*u**2 + 2232*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 22137 + 1022 = 5*q, 5*q + 2*z = -21094. Let g be ((-58)\/(-10))\/((-24)\/q). Let s = 1035 - g. Calculate the common denominator of 58\/7 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**4 + 10*f**3 + 7*f**2 - 90*f - 144 = 0.\nAnswer: -8, -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 386 - 589. Let q = -1571\/8 - i. Calculate the common denominator of -73\/4 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24848 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -120616 = -120572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 19*t + 71. Give v(16).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*y = 16, 4*p = 4*y - y + 13. Suppose -1 = -b + p. Factor 2\/3*n - 2\/9*n**b + 0.\nAnswer: -2*n*(n - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18077143361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j**2\/9 + 2*j\/3 - 14\/9 = 0. Calculate j.\nAnswer: -7\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 95 = 5*y, 3 = n + 4. Let t = -1536 - -1540. Suppose t*f = 3*f + y. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -210 + 215. What is the second biggest value in -0.05, n, 2\/11, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1111992 or -1111995?\nAnswer: -1111992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/11 (b) -0.4 (c) 7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-13)\/((t\/t**(-4\/15))\/t)*(t\/(t**14\/t*t*t))\/(t\/t**12) assuming t is positive.\nAnswer: t**(-244\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 2:53 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u + 35. Let y be s(18). Let a be ((0 + -1)*y)\/(3 + -4). Let k be a - (-1 + -2 - -4). Let z(h) = -h**3 + 3*h + 3. What is z(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t - 1008 - 1128 = 0. Let k = -178 - t. Which is the nearest to 0.1? (a) 2 (b) 4 (c) -4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -11*k + 4. Let h = -134 + 128. Let b(m) = m - 1. Calculate h*b(w) - d(w).\nAnswer: 5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -48*x + 51*x - 44918, 5*x + 5*j - 74890 = 0. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v*v**(-1))\/v*v)\/v*v)**31 assuming v is positive.\nAnswer: v**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from {o: 1, k: 1, i: 1, n: 1, b: 5, y: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvjjpvvjfaj. Give prob of picking 1 v, 1 j, 1 a, and 1 f.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130512 (base 8) to base 7.\nAnswer: 246215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 114*w - 110*w - 12 - 9. Let t be h(6). Let z = t + 2. Solve -z = -m - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {d: 2, r: 3, v: 3, t: 4, g: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 730083988 to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24150875?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -13*u**5\/15 - 49*u**3\/6 + 41*u**2\/2 - 19. Let t(j) be the second derivative of g(j). Differentiate t(o) wrt o.\nAnswer: -104*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**8)\/(b*b*b*b**(-5)))\/(b*b**(1\/2))**49)**37)**43 assuming b is positive.\nAnswer: b**(-249787\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248518 = -10*s - 15628. Suppose s = -8*y + y. Is (9\/(-12) + y\/(-12))*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1) - (-5 + 3). Suppose -c - g = -3*c. What is the smallest common multiple of ((-3)\/(-2))\/(c\/4) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26, 48, 70?\n\"Answer: 22*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2933 + -1.3. Round y to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 4*w**2 + 3*w**2 - 3*w**2 - 6*w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -q + 34. Let n(d) = -d**2 - 32*d - 31. Let y be n(q). Solve -7 = 2*i - 5*l + 13, i + 2*l + 1 = y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11294868785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -33*k**3 - 459*k**2 - 13*k + 13. Let g(d) = 18*d**3 + 229*d**2 + 6*d - 6. Let i(o) = 13*g(o) + 6*z(o). What is the third derivative of i(m) wrt m?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-152*c + 42*c - 511*c)*(-2*c + 0 + 0) as l + q*c**2 + f*c and give q.\nAnswer: 1242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19598, 18229, 16860, 15491?\n\"Answer: -1369*r + 20967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -9*t - 80. Let p(u) = 3*u**2 + 30*u. Let m be p(t). Solve m = -g + 2*g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 543 - 542.999999729. Round f to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -426d (base 14) to base 15.\nAnswer: -35e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -189489456 divided by -514917\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 12917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 7 = 3*s. Let g(w) = -16*w + 9. What are the prime factors of g(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 35. What is the lowest common multiple of 3\/2*8\/3 and j(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 307 + 318 = 0. Sort 20\/11, 0.1, 2, l in increasing order.\nAnswer: 0.1, l, 20\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -39*h**2 + 124*h + 127. What is x(-1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v + 1350 = -12*v + 1040 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*c + 65 + 163, c - 120 = 5*q. List the prime factors of c.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1898, 2\/3, 55785, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1802 - -840.8198. Let q = 840.531 - o. Let v = q + 0.059. What is v rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 873*d + 270 + 32*d**3 - 154*d**3 + 29*d**3 + 18*d**3 + 660*d**2.\nAnswer: -3*(d - 10)*(5*d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-1\/3)*o)**(1\/40)\/(o**(-2))**(-1\/2) assuming o is positive.\nAnswer: o**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, f: 7, z: 1, k: 6}. What is prob of picking 3 f and 1 k?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -22*t + 31. Let l be q(-19). Suppose l = 3*h - 472. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93971.00075338 + 93971. Round z to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 996 or 2987\/3?\nAnswer: 2987\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2932 + 67162.3.\nAnswer: 67162.0068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-11)*t**(-2\/23)*(t**(-2\/3)\/t*t)**9 assuming t is positive.\nAnswer: t**(-393\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 8374\/(-13970) - (152\/(-20) - -8). Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**4\/6 + 3*b**3\/2 - 6*b**2 + 4*b - 950. Give v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y + 21*y**3 - 38*y**4 - 6*y**3 - y + 2*y**2 - 15*y**3 as q*y**3 + j*y**2 + h*y + g*y**4 + f and give g.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-8) + (-3)\/4. Suppose -g*q + 20 = 5*b, 2*b - 10 = -q - 2. What is the tens digit of (-147)\/(-6) + 6\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*n - 164, n = -16*i + 20*i - 318. What is the remainder when i is divided by 50?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.338006185 and -951?\nAnswer: 952.338006185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -177*f**3*h*n**2 - 9*f**3*h*n + 4*f**3 + 2*f*h*n wrt n?\nAnswer: -354*f**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*d + 0 + 0 - 29*d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36637?\nAnswer: 36637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4993 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 1 + (-9)\/3. Let a(f) = 2*f**2 + 2*f + 3. Let o be a(-2). Suppose -v = -p + o. Calculate the smallest common multiple of 14 and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 33. Suppose -138 = a*b + 1807. Let r = -228 - b. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 - (0 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -370 divided by -2\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8444 a factor of 558895915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 42*m**2 + 82*m + 25. Let q be f(-10). What is the greatest common divisor of q and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*c + 99*c - 27 = -3*i, -c - 17 = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*4*(-6)\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 2 - 66 + 5.\nAnswer: -i - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Suppose -4*q + 9 = l*i - 7*i, -2*q = i - 1. Let u = 5 + q. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 + 197 - 49 + 50)*(4*q**2 + q - q).\nAnswer: 1132*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*m, -5*y - 2*m + 16 = -0*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*15\/9)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/91395 and -54\/3957065.\nAnswer: 106840755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 243 + -210144?\nAnswer: -205501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10006, 40056, 90162, 160324?\n\"Answer: 10028*g**2 - 34*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 - 7*x. Let y be 0 - ((-8 - -5) + 1). Let w(j) = -j**2 - j**y - 10*j + 12*j + j**2. Give -2*d(t) - 7*w(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p - 32. What is x(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-35)*-5)\/(-1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from nnnvnznnznnnnvn.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**3 - 21*d**2 - 2300*d - 2280. Let q be v(-1). Let s = 2032\/5 + -404. Suppose 9\/5 + 33\/5*j - s*j**q = 0. Calculate j.\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 3, 750, 4317 in increasing order.\nAnswer: -1\/4, 3, 750, 4317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 + -1467 + 1499.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*q + 265*q + 27 - 32.\nAnswer: q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 - 47. Let h(b) = 3*b**3 - 4*b**2 + 4*b - 2. Let s be h(3). Calculate the greatest common divisor of x and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.923 - -0.077. Let b = 218 + -652\/3. Let u = 0.6 - -0.4. What is the second smallest value in s, b, u, -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/22 and 32\/8129.\nAnswer: 16258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.5 times -85?\nAnswer: -637.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**4\/12 - b**3\/2 + b**2 - 9*b. Give q(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, k: 2, g: 1, z: 2, u: 1, a: 1}. What is prob of sequence zzk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521855512 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 r = -19 + 30. Which is smaller: 13 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322111313 (base 4) to base 11.\nAnswer: -1535a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3395699 is divided by 825.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01896 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2504407 is divided by 853?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 293257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (197*s + 78*s - 71*s)*(-2 + 6 - 3) in the form h*s + q and give h.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1*5893\nAnswer: 5893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/26)\/(234\/32 + -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13374763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 8.3. Let c = -10973.2 - -10966. Let r = m + c. Which is smaller: r or 8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.34 - -0.3. Let d = 0.44 + y. Let t = -0.3 + d. Which is the nearest to -0.1? (a) t (b) 0.5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22174569778 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 605 and 3964202.\nAnswer: 19821010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/6*(-10)\/4*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-21) + (-3337)\/497.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxur when four letters picked without replacement from urlxexueuurreurle?\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/4*10\/15. What is the second derivative of -u*b**2 + b**3 - 2*b**3 + 5*b**2 - 3*b wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11\/145 + 9917\/1160. Let w be 356895\/122298 + (1 - 5). Let q = 5\/218 + w. What is the common denominator of j and q?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 4155.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-1))\/(2 + 0). Solve 0 = -b*v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**4 + 73891370*f + 507401872 with respect to f.\nAnswer: -12*f**3 + 73891370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 70*z - 1336. Calculate h(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + 5)\/4 + (35 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -568 and 4.\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*a + 39*a - 441 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9869746 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21755 (base 10) to base 3.\nAnswer: -1002211202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 339013963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/((-30)\/(-400)). Suppose 0 = 4*n + n - d. Let q(o) = o**3 + 2. What is the smallest common multiple of n and q(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/4332 and -29\/798.\nAnswer: 30324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110221221 (base 3) to base 16.\nAnswer: 71cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4851)\/(-882) - ((-4)\/4 + 1\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 22\/9 of a week?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -77, 1\/2, 5\/6, 4\/5, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -2 (b) 2\/17 (c) 0.3 (d) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 31?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-100)\/(-6)*(-27)\/18. Let d be a\/75 + 46*226\/12. Suppose 3*q - 106 - d = 0. Is 24 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -4\/23 (c) -0.04 (d) -1\/7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-2 - 0)) + (25 - 26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urgggugbggggguuu. What is prob of sequence grg?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3725 - -3771. Calculate the greatest common divisor of h and 2024.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 5*y - 19, -12636*y + 12639*y = f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddeemdmimdceed. What is prob of sequence ic?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, j: 1}. Give prob of sequence yjy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3.8+-1.5\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-35)\/(-4) - 18\/24. Let l be (2\/(-16)*4)\/(2\/z). Let r(y) = -y**3 - 2*y**2 - 2*y + 1. Let o be r(l). Solve 27 = -o*n + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 43. Which is the closest to f? (a) -0.4 (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-50*q - 17 + 48*q - 29).\nAnswer: 2*q + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -481955011 take away 1.2?\nAnswer: -481955012.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5070336 to the nearest integer?\nAnswer: 2252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**6\/40 - m**5\/30 + m**4\/12 - m**3\/3 + 8*m**2. Let r(o) = o**3 + o**2 - o + 1. What is -f(z) - 2*r(z)?\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 0. Find the second derivative of r**3 + 2*r**x + 3*r - r**3 wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 11*n - 48. Suppose 0 = -n*w + 4*w + 114. Suppose 5*m - 1 = w, -184 = -5*g - m. Calculate the highest common factor of g and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20544?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 501.0198 minus -0.04?\nAnswer: 501.0598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50287068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -0*j - 3*j, -26*j - 23 - 5 = 7*g - 19*j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -2.412\nAnswer: -1.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 - 41. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 7*t**5\/30 - 1243*t**2. Let g(q) = 6*q. Let u(s) = -5*s. Let l(x) = -6*g(x) - 7*u(x). What is l(o(j))?\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 1430692 = 48*f + 31*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/642 and 179\/5520.\nAnswer: 590640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.16 + -35. What is h rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 336, 311, 276, 237, 200?\n\"Answer: f**3 - 11*f**2 + f + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilometer in meters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10 + 6 = 0. Solve -n*s - 2*x + 4 = 12, -x = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8870391?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u + 0*u)*(3 - 3 - 5) - u - u + 4*u + 2 - 2 - 3*u + (0 + 3 - 1)*(-2*u + 3*u + u).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -45.1. Let c = -6.1000101 + f. Round c to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + 8ba1fc?\nAnswer: 8ba1f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -73.99884. Round i to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, -0.49, 3\/8, -3, 1.92?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + l**2. Let o(u) = 6 + 2*u**3 + 8*u + 19*u**2 - 11*u**2 - 2 + 2*u**3. Let v(q) = 2*o(q) - 6*x(q). Factor v(h).\nAnswer: 2*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 23*t**3\/2 + 21*t**2\/2 - 236*t. Suppose -2*v + 0*v = -6. What are the prime factors of i(v)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 1695*u**2 - 2*u + 13511 - 13511 to f*u**2 + b*u + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*((-4 - -11) + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -553, -4, -2, 2, -3 in descending order.\nAnswer: 2, -1, -2, -3, -4, -553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1700 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 584*z + 19. What are the prime factors of a(1)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61202447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -82*y + 14*y. Sort y, 1, -7, 5.\nAnswer: -7, 1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-2)*93\/(19716\/(-530))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 220*a**5*o + 4*a**4*o - 1320*a**2*o wrt a?\nAnswer: 13200*a**2*o + 96*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 15*q**2 - 82*q + 616. Does 3 divide l(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820837771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, -47, -72?\n\"Answer: -25*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 12 - (-13 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5 = -5. Suppose 3*j + w*k = 15, -2*k = k - 9. Suppose -10 = -u - j. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 - f**2 - 2*f. Suppose 7*c - 143 + 171 = 0. Let b(m) be the first derivative of -3*m**4\/4 - m**3\/3 - 3*m**2\/2 - 17. What is c*r(q) + 3*b(q)?\nAnswer: 3*q**3 + q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 11 = -9. Suppose 5*f - 47 = -t*w + 63, w = 4*f + 12. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137 - 486 + 93 - 354 - 417)*(-i + 2*i - 2*i).\nAnswer: 1301*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 43*l**2 - 18*l + 31. Is j(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -201*f + 6002. Give z(30).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/9 - 1984*y**2\/3 + 494010*y - 2940300 = 0. What is y?\nAnswer: 6, 1485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 1:35 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4 - 10. Suppose 5*s - 2 - 4 = 4*f, -3*s + 3*f = -r. Let t be ((-4 - -2)\/s)\/((-2)\/(-8)). Solve -1 + t = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9528617 rounded to two dps?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35 - 20*n + 46 - 72 wrt n.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 2153*o**2 - 2153*o**2 - 86*o**3 + 8*o - 7*o - 2.\nAnswer: -86*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -1996*t**2 + 1. Let r(k) be the first derivative of -k**2\/2 - 1475. Determine r(u(f)).\nAnswer: 1996*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 2*t + 3. Let i(v) = 4*v**2 - 5*v - 6. Let y = -2 - -9. Let l(m) = y*g(m) + 3*i(m). Let w(b) = 1. Give -l(p) + 3*w(p).\nAnswer: 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -19. Let u be (9\/d)\/((-4)\/(-28)). Let z(k) be the first derivative of k**4\/4 - k**3\/3 - 3*k**2\/2 - 2*k + 1. Calculate z(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4436, -8932, -13428?\nAnswer: -17924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j - 2 + 2 - 7*j.\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691219925 is divided by 12776.\nAnswer: 12773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1257, -2797, -4337, -5877?\n\"Answer: -1540*i + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2080)\/45)\/13 + (6 - 2))*-6?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28064, -100095, -216088, -376043?\n\"Answer: -21981*h**2 - 6088*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 6*k + 5. Let v be h(-11). Let t be (-678)\/(-13) - -1 - v\/390. Suppose -t = -3*c + 4. What is the remainder when 33 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.6. Let w = 0.4 + g. Let z be (2 - 0) + (-5 - -3). Which is the closest to z? (a) -0.5 (b) 2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 6. Let k be j(0). Let r(b) = 3*b**2 + 3*b + 5. Let h(d) = 7*d**2 + 7*d + 11. Calculate k*h(x) - 13*r(x).\nAnswer: 3*x**2 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from xppppxxppxjppp.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223, 795, 1367, 1939, 2511?\nAnswer: 3083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:07 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 13*r + 24. What is i(16)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 4*o**2 - 5. Let v be n(4). Let d be 2\/((-2)\/v*1). Solve 7*p + d = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108*p**3 + 2209*p**2 - 2139*p**2 - 10*p**3 wrt p?\nAnswer: -708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -781 by -781.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -228 - -228. Suppose 4*y - 3*f + 3 - 27 = 0, 3*y - f - 13 = o. Solve 4*d - y*d + 3 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99688c (base 15) to base 5.\nAnswer: 3332442212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6012998 is divided by 2839.\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -9399\/16459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -192 - -287. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 5 - (1 - 0 - 4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/9)\/((-1)\/(-3)). What is the tens digit of -6*((-36)\/8)\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/9)\/d)**(-36))**(16\/11) assuming d is positive.\nAnswer: d**(128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2204, 5141, 8104, 11093, 14108?\n\"Answer: 13*h**2 + 2898*h - 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Suppose -4*z + m*u + 2 = 0, -5*z + 4*u = -0 - 4. Suppose z = -3*s - 23 + 8. Sort 3, s, 5.\nAnswer: s, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 14 = d, t = -2*d + 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -21. Suppose i = -5*w - 12, -2 = -2*i + v*i - 2*w. Let h be (8 - 10)*(i - 0). Solve h*p - 2 = 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62173000291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 5*l - i + 5, -4*l = -4*i - 28. Suppose l = b + 1. List the prime factors of (-1)\/((-1)\/60*b).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.8 - -145.46. Let h = -154 + f. What is the biggest value in 5, -0.4, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g + 5 = o, o - 5 = 0. Let j(v) = v**2 + v + 8. Let l be j(g). What is the second derivative of 3*f**2 + 8 - l + 5*f wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 9:17 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 23\/2*l**3 + 27\/2*l**4 + 0 + 0*l**2 - 105*l. What is the second derivative of g(n) wrt n?\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(225\/(-40))*6\/24. Which is the smallest value? (a) y (b) 0.04 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44803, -89918, -135023, -180112, -225179?\n\"Answer: k**3 - k**2 - 45119*k + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 36 = 4*x + 3*v, -x + 3*v + 14 = 0. Let k = -139\/30 - -7919\/330. Let g = 251\/11 - k. Calculate the common denominator of x and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -s - 2709. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3786\/(-68148) + (-22)\/252?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3189178 divided by 74\nAnswer: -43097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Let w(a) = -a**2 - 5*a - 2. Let m = -14 - -10. Let j be w(m). Solve o = -1, -b*o = -5*s - 5*o + j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*y - 118, -k = -5*k + 4. Let o(v) = -v**3 + 2*v**2 + 3. Let l be o(3). Is 1 + -2 + l + y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = s + p + 3*p, 5*s - 4*p = 651. Let n = s + -115. What is the least common multiple of 10 and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -38 - 6. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 - 6*j**2 - 6*j. Let c = 0 + 2. Let n(u) = 5*u**c + 5*u - u**3 - u**3 + 0*u**3. Determine -5*d(y) - 6*n(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117655*h = 117481*h - 4698 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1793.\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from nenrprecplrrppr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5999?\nAnswer: 7, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -66*o**4 + 63*o**3 + 69*o**2 - 63*o - 3 = 0?\nAnswer: -1, -1\/22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 2*t - t)*(29*t + 33*t - 60*t) + 3*t**2 - 2*t**2 + 2*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from yyyvyyyy.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-16))\/((-2)\/(-40)). Let j(r) = -r**3 + r**2 + 12*r - 3. Let c be j(u). Let l = c + 103. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h - 5 - 8*h + h**2 - h. Let m be b(-5). Let j be (0 - 1)\/(2\/(-8)). Solve 0 = -f + 4 + 1, 0 = j*x + 5*f - m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, f: 2}. What is prob of picking 1 f and 1 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 79.2, -12, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 306444088 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1303443443 (base 5) to base 9.\nAnswer: -5887225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40307\/82985)\/(68\/24)?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 4*w = -4*u - 16, 2*u + 5 = -w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 - 4*v**2 + 4*v**2 + (38626 + 1518*v - 38626)*(-3*v**2 - 9*v**2 - 5*v**2) in the form d*v + c + o*v**2 + k*v**3 and give k.\nAnswer: -25807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -361000424 - -360998503.98507. Let s = -1920 - r. What is s rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -53\/20, -3, -0.1, -2\/17?\nAnswer: -53\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -351 + -0.05?\nAnswer: -351.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 158*q + 54*q + 174*q + 2*q + 2 - 2 + (5 - 3 + 0)*(4*q - 5*q - q).\nAnswer: 384*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**3 + 2*o - 1. Let z(p) = 7*p**3 - p**2 - 5*p + 3. Suppose 0 = 7*l - 6*l + 2. Calculate l*z(x) - 5*r(x).\nAnswer: x**3 + 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56599\/50490 - 1\/4590. Calculate the common denominator of v and -43\/123.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 585 and 845?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 - 2*h**2 - h - 4. Let r(g) = 42*g**3 + g**2 - 2*g - 9. Determine -2*j(f) + r(f).\nAnswer: 38*f**3 + 5*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 413438 divided by 11174.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43245336263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11980.6*-9484\nAnswer: 113624010.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 7:46 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 9 (c) -1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36561 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 10*x + 21. Let s be q(7). Suppose s = -3*o + 2*d + 318, -339 = -3*o - 4*d - d. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -150237750.4 to the nearest one million.\nAnswer: -150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 214 + -209. Let x = 49 + -50. Let y = x - -3. What is the third biggest value in y, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 45*f + 284. Suppose -3*w = l + 3, -5*l - 2*w - 2 = 26. What is the smallest common multiple of 6 and g(l)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -369509855*v - 378678235?\nAnswer: -369509855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 52*u**3 + u**2 - 13*u - 6. Let m be j(-5). Let h = 12085 + m. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c + 6. Let y(t) = t + 15. Let i be y(-11). Determine g(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 162\/17 in -4\/9, 2\/19, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46765 divided by -9353?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/6 + (-11)\/(-33). Let z be 1\/(w + 2 + 1). Find x such that -z*x - 1\/4*x**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 19*g**2 - 38*g + 1. Calculate y(-16).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -17*d**7\/210 - d**6\/30 - 671*d**5\/60 + 35*d**2 + 5*d. Find the third derivative of t(w) wrt w.\nAnswer: -408*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155373509?\nAnswer: 283, 549023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - ((-632)\/16 - 1\/2). Let s = 54 - w. Suppose -s*z + 9*z + 775 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -1\/8 (c) -4 (d) 36 (e) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o**3 + 190*o**2 - 2*o - 113. What is p(-38)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 984805 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 6. Let n be s(-7). Let i be (-8)\/8*(-1 - n). Suppose 2*t - 3 + 1 = i. Is t bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, d: 4, f: 2, h: 1}. What is prob of picking 1 d and 1 h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 26*b**2 + 34*b + 62. Suppose -37*u - 135 = -42*u. Is o(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-2\/3))\/z*z**(-4\/7)*z)\/(z**(-8)*z**(-2\/5)))\/(z**(3\/4)\/z**(-2\/11))**(-33) assuming z is positive.\nAnswer: z**(16343\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: a8e (base 15) to base 12\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 4 = 3*s, 26*s + 4 = -183*s + 205*s + 2*z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/288*-8*-13.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 + 3.06. Which is greater: u or -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/65 - 156\/(-169). What is the third smallest value in 4\/5, l, 0.27, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42.7 - 43. What is the third biggest value in -1\/2, 0.4, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2667 - 1302. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 231124 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/(1 + (-15)\/6). Which is the third smallest value? (a) 2\/13 (b) p (c) 0 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177385, -354737, -532089?\nAnswer: -709441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 - 3*q**2 - 3*q**2)*(-314*q + 7 - 195*q - 7*q + (-q + 0*q + 2*q)*(-2 + 0 + 0)).\nAnswer: 1036*q**3 - 14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 20 = -0*l. Let g = -21 + 25. Calculate the remainder when l is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*u + 27*u - 13*u + 22)*(2 - 3 + 0)*(-5 - 8 + 9).\nAnswer: -4*u + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (3 - -2 - -1) - 17 - -14 - 18.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 158544843\nAnswer: 2\/158544843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85.6 + 84.6. Let t = -24 - -15. Which is the nearest to o? (a) -4 (b) t (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3150)\/28*(-48)\/(-10). Round n to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1317263 - 7422141. Let m = 8739530.00053 + l. Let d = 126 - m. Round d to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750.68 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - 4*g**2 + 5*g**2 + (5*g**2 + 6*g**2 - g**2)*(-3 + 3 - 4) in the form y + h*g**2 + w*g and give h.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-17)\/(-5474)*-14?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747 != 3746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1752?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207 + 249 + 1076*x**2 - 459 to the form i*x**2 + w + q*x and give i.\nAnswer: 1076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-9 + -10 + 9 + (7 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -333, 0.3, 656?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 1364*f**2 + 72384*f + 896256.\nAnswer: -4*(f - 389)*(f + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**7\/7560 + c**6\/1080 + c**5\/360 - c**4\/4 + 2*c. Let d(z) be the third derivative of j(z). Factor d(u).\nAnswer: (u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.91433 + -0.08567. Which is the third biggest value? (a) -2 (b) o (c) -0.1 (d) 0.5 (e) -2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(7) + -4)*6)**2.\nAnswer: -10368*sqrt(7) + 29808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((5 - -12) + -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 184 = 2*q. Suppose 12 = 2*h - 4*x, q = 4*h + h - 2*x. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/8423220 and 39\/40.\nAnswer: 16846440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 706*z**2 + 5992*z**2 + 12186*z**2 + 2221*z**2.\nAnswer: 21105*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27137224 to the nearest integer?\nAnswer: 5209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (1 + (-4 - 2)). Suppose 6*q = z*q + 364. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10677, -19579, -28481, -37383?\nAnswer: -46285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.588*-287.\nAnswer: -1029.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/((-5)\/((-90)\/4)). What is the highest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*x + 64*x = -2*n - 8, 16 = 5*x - 2*n. Solve 3*m - 79 = -3*p - 82, 4*p + x = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nznnnnnnnnnznnnnnnn. Give prob of picking 2 z and 1 n.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60942, -60941, -60940, -60939, -60938?\nAnswer: -60937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 3\/7, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + q**2 + q + 3. Let n(d) = -d**3 + 5*d**2 - 3*d - 4. Let k be n(4). Let u be r(k). Differentiate -4*i**3 + 6*i**u + 0 - 2 with respect to i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36870 - -18215. Is a\/(-21) - 6\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 2*m. Let x(o) = m*o**2 - 2*o**2 + o**2. Let r(t) = 2*t + 3. Let s(n) = 4*n + 5. Let k(j) = -5*r(j) + 3*s(j). Determine k(x(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 - 8*z + 6. Let f be s(6). Suppose -5*d + 24 = -f. Let t = 83 - d. What is the highest common divisor of 26 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10366477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7686 divided by -6?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllhilpil. What is prob of picking 2 h and 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 379, -9, -264, 2 in decreasing order.\nAnswer: 379, 2, -9, -264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*k - 86. Suppose 0 = 3*g + 28 - k. Suppose -2*m = -5*v + 35, 3*v = -6*m + 2*m - g. Solve 0 = 2*b - d + 1, -11 = 5*b + v*d - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u**2 - 2*u**2 + 0*u**2)*(-1 - 2 + 2)*(47 - 16 - 3)*(-2*u**2 + u**2 - 4*u**2) - 4*u**4 + 0*u**4 + 3*u**4.\nAnswer: 839*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6123653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -1, -1584, 1835?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 - -92. Let t(l) = -15*l - 8. Let x(a) = -7*a - 4. Calculate g*x(s) - 4*t(s).\nAnswer: -3*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 - 3*w**2 + 0*w - w - 3*w**2. Is f(-4) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:24 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c - 1386. Let n be 312\/c + (-4)\/(-14). Let m(d) = -d**3 - 3*d**2 + 13*d + 16. Let l be m(-5). Which is greater: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11 + -96.\nAnswer: -95.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6186996*r**4 - 301*r + 7607 wrt r.\nAnswer: -74243952*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/2343 and 4\/27.\nAnswer: 21087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 17*m**7\/210 + 43*m**4\/24 - 1001*m**3 + 147*m**2 + 4. What is the derivative of d(a) wrt a?\nAnswer: 68*a**3 + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 196, 234, 220, 136, -36, -314, -716?\nAnswer: -1260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70104 by -16.\nAnswer: -8763\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 - 1529*r + 5742*r + 4 - r**2.\nAnswer: -r**2 + 4213*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -448, -449, -450, -451?\n\"Answer: -l - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -55*w - 206. What is the remainder when v(-16) is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**8\/56 - u**7\/15 - u**6\/6 + 14*u**5\/15 - 2*u**4\/3 - 2*u**2 - 11. Solve z(n) = 0.\nAnswer: -2, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 229832 and 7192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*m + 327, 10 = 3*m - m. What are the prime factors of 0\/7 + h\/(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*p = -i + 25, -14 = -2*i - 4*p. Let b = 48 - 109. Let o = b + 133. Calculate the highest common factor of o and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.035 - -0.035. Which is the second smallest value? (a) 1 (b) -3 (c) p (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2839 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -2*1\/(-2). Let x = 79979 + -79975. What is the closest to 1 in g, x, -3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/28*(1\/(-1))\/(-10)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.027 (b) 9\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*u**2 + 7*u - 14*u + 91*u**4 - 5*u - 91*u**4 - 56*u**6 wrt u?\nAnswer: -6720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0)\/(1\/16). What is the common denominator of ((-37*18)\/6)\/(2*-7) and (-33)\/c - (-2)\/(-1)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.116 times -0.694?\nAnswer: -0.080504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 minus 103.5?\nAnswer: -103.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 + 12059*p\/3 - 204136.\nAnswer: -(p - 12008)*(p - 51)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61492174991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-149 - -1)\/((-4)\/(-4)). Let d = i + 161. What is the greatest common divisor of 325 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/(sqrt(8)\/sqrt(2)) - sqrt(5)) + 6*1*sqrt(5) - (sqrt(605) + -2)*1*-2)**2.\nAnswer: -224*sqrt(5) + 3936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 6*c - 13. Let p be z(-11). Suppose 3*w - 35 = -4*a + p, a = -2*w + 127. Suppose 0 = -l - l + w. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -143*t**2 + t - 152*t**2 + 8 - 152*t**2 + 449*t**2 as a*t**2 + h*t + f and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 6*d**2 + 5. Let k be f(-6). Let u be 14\/(-4)*(2214\/126 + -17). What is the nearest to -1\/3 in u, 3\/10, k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303871, -607751, -911631, -1215511?\nAnswer: -1519391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 8 + 8. Suppose -5 = 3*w - 4*w. Suppose -w*m = -15, m - 5 + 1 = i. Put 5, i, j in ascending order.\nAnswer: i, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 13) to base 14.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2344 is divided by 196.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689 is divided by 220?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 p when three letters picked without replacement from {w: 2, h: 1, k: 1, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 33081052.8*0.4\nAnswer: 13232421.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**3 + 1\/12*j**4 - 19*j + 5\/2*j**2 + 0. What are the prime factors of r(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*w + 40, 3*w - 7*s + 3*s = 60. Suppose 0 = w*d + 24*d - 58300. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2623 - -0.240347. What is k rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**3 + 154*j**2 - 34*j + 72. Let t be z(-31). What is the highest common factor of 957 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/3059 and -105\/33212?\nAnswer: 232484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8560, -8524, -8434, -8260, -7972?\n\"Answer: 5*p**3 - 3*p**2 + 10*p - 8572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11772 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/36 and -115\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -7. Find the third derivative of -5*w**3 + 2*w**4 - w**3 + 6*w**3 - w**k wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zazaz. What is prob of sequence aa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/1352735, 2?\nAnswer: -2\/1352735","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1833798934.\nAnswer: 2, 11, 29, 71, 40483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1364386 from 0.276428.\nAnswer: -1364385.723572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13708203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -459*u**5 - 220*u - 2 wrt u.\nAnswer: -9180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -c434c (base 13) to base 6\nAnswer: -11314015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -26. Suppose -2*c + 58 = -5*v, v + 2*v = -t*c - 10. Let j = 32 + v. Calculate the greatest common divisor of 55 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4)**(45\/4)*(z**(1\/16)*z)\/(z\/(z*z**(-12))))**(-28) assuming z is positive.\nAnswer: z**(-3815\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5 - -1) + -4 - 1) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**4\/36 - c**3\/6 - 2*c**2\/3 + c + 65. Factor t(m).\nAnswer: (m - 4)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v - 90. Let k(w) = -2*w + 17. Suppose t + 0 = f - 3, 16 = 3*f + 4*t. Let d be k(f). What is the greatest common divisor of v and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzbc when four letters picked without replacement from {b: 1, z: 4, c: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-35 + 17 + -22)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/2 + 46*u - 2115\/2 = 0. What is u?\nAnswer: 45, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*s - 290 = -234*s. Let f = s + -2. Calculate the least common multiple of 9 and f.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b. Let c(w) = -20*w + 231. Let q be c(11). Let x(o) = -7*o + 16*o - q*o. Determine x(i(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-32)\/(-76)) + -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -22*o**2. Let l(t) = 2*t**2 - t + 1430. Calculate l(d(s)).\nAnswer: 968*s**4 + 22*s**2 + 1430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, w: 10, b: 1, t: 3}. Give prob of picking 2 t and 2 u.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r + 76*r - 2607096 = -384951. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 119.24 - 118.84. Which is the second biggest value? (a) 79 (b) g (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2111 + -2111.2. Let z = 625\/7 + -89. Which is the closest to v? (a) 2\/9 (b) -0.6 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.43 times 5\nAnswer: 7.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 12. Let m = 4 - 4.1. Let i = 19.6 - 20.6. Which is the closest to f? (a) 0 (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*u - 339 = -3813, 4*w - 13924 = -u. Let k = -5382 + w. Round k to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9*((-20)\/15 + 2). Calculate the remainder when 183*(-6 + (-14)\/a - -4) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/155780 and -87\/62312.\nAnswer: 311560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 v when three letters picked without replacement from kkkkkbikvkkikkvkvkk.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30338 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 480.6425 decades to centuries.\nAnswer: 48.06425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37936, -304073, -1026402, -2433019, -4752020, -8211501, -13039558?\n\"Answer: -38016*t**3 - 25*t + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 52*n**5\/15 - 88*n**2 - 50. Let p(a) be the second derivative of c(a). Let g(t) = -t. What is g(p(k))?\nAnswer: -208*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert c974b (base 16) to base 11.\nAnswer: 513a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70556660*i**4 - 12*i + 1153312.\nAnswer: 846679920*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.85 + -114281.4611?\nAnswer: -114301.3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*q - 6 = 4, -2*c + q + 7 = 0. Solve 3 - c = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*u = -41, 181*i - 17 = 182*i - 5*u. Solve i*r = 2*r - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 take away -13.43690628766?\nAnswer: 11.83690628766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 14. Let h(g) = g**3 - 9*g**2 + 2*g - 10. Let k be h(9). Determine l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/1140 - -251\/2660. Let q(b) = -2 + 3 + b**3 + 0 + 5*b**2. Let x be q(-5). Which is bigger: x or p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.12 + 0.12. Let f = 3 + q. Let w = -9 + 8. Which is the closest to w? (a) 2 (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 3:10 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = i - 81, 5*i + 1 = -2*o. Let z be -1 + 0 + (4 - 0). Sort -4, 5, z, o in descending order.\nAnswer: 5, z, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1665, 3430, 5297, 7266, 9337, 11510?\n\"Answer: 51*l**2 + 1612*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 2*g**2 + g. Let h be y(-3). Find the common denominator of 1\/3 - (-289)\/24 and h\/(-8) + 74\/(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o = 6. Let m be 57*o*(-1)\/3. What is the units digit of 10\/35 + m\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3 = 7. Let j = 121 - 115. Solve u - j*u = -o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 10:27 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 278405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3751, -4060, -4371, -4690, -5023, -5376, -5755?\nAnswer: -6166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*2*-1)\/(sqrt(392) + (sqrt(392) - sqrt(392)*2) + sqrt(392) + sqrt(392) + sqrt(392) - sqrt(392)))**2.\nAnswer: 11\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 - 54 = 2*d. Suppose -4*i = -46 - d. Calculate the remainder when i is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-2 + -19 + 5 + 3 + 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*b + 70*b + 14*b + 54*b to n*b + s and give n.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w - 8. Is 12 a factor of r(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 191 + -190.9. Let l be 12\/(-20) - 34\/(-40). Let q = -0.1 + 0.1. What is the nearest to q in l, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1876933 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 - 72 + 11*b - 10*b - 63.\nAnswer: b - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11\/4, -4\/9, 1 in descending order.\nAnswer: 2, 1, -4\/9, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26153 or -575381\/22?\nAnswer: -575381\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -49 - (-6 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 1 + 3*q + 0*q)*(-q**4 - 3*q**4 - 2*q**2 + 3*q**4).\nAnswer: -q**5 + q**4 - 2*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -222*o - 204*o + 430*o. Let d(p) = -313*p. Determine d(b(j)).\nAnswer: -1252*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 568243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-18) + 611999966\/153. What is h rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3 + 0)*2\/33 - 41409\/(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 8 = -2*s. Let h be 1\/(1\/s - 1). Let i(q) = -q + 1. Let j be i(1). What is the nearest to j in 3\/5, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = 3*l - 50. Let s = l - -30. Let d be 42\/10 - (-4)\/s. Let n(j) = j + 1. Calculate n(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 5.5. Let x = k + 0. What is the second biggest value in -2, x, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 299376?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22400 and 60.\nAnswer: 67200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3819\/4 + -971. Let a = -36271\/3 + 13782767\/1140. Calculate the common denominator of a and o.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 - -43.24. What is a rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 3*s - 5, 0 + 3 = m + s. Solve 3*a - 11 = m*g, 11 = 4*g + 4*a - 17 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00318802 to four dps.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k - 1. Let f be q(-2). What is the smallest common multiple of (3\/(-9) - 0)*f and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/56)\/(4\/14). Solve 3*n - 8 = -t, -r*t + 2 = -4*t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101031 (base 5) to base 10.\nAnswer: -3266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**2 - 14*x + 6. Let h(u) = 2*u - 1. Calculate 5*h(b) + s(b).\nAnswer: -5*b**2 - 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.973381 to 1 dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4 + 5 = -4*p, 19 = -5*c - p. Let m = -3.188 - -2.288. Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-212)\/(-8) + (-3)\/6. Let p = 41 - n. Calculate the remainder when p is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 152, 183, 236, 311?\n\"Answer: 11*h**2 - 2*h + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 8)\/(-2) - -4. Suppose h = -x*h. Solve h = -k + 3 - 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132.7 - 134. Let j = 21 - 21.9. Let w = j - n. Is -0.04 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -3*r - w, 0 = 2*r - 5*w - 74 - 25. Is 19\/r + 47\/3 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -7. Let m = d - -6. Calculate the remainder when m is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 831243.7ml?\nAnswer: 831.2437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(3\/8)*q**5*q)**(-11) assuming q is positive.\nAnswer: q**(-583\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f**2 + 6*f - 3*f + 5*f. Let b(o) = o**2 - o. Suppose 6 = x + x. Determine x*l(t) + 24*b(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1107 rounded to three decimal places?\nAnswer: -0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) -63410 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -29 - 30*m - 1\/4*m**3 - 33\/4*m**2 = 0. Calculate m.\nAnswer: -29, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -2, -5, 1\/4, -0.064?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522571.\nAnswer: 7, 74653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 348.9327 + 0.0673. Let n = w + -369.4. What is n rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (0 + sqrt(153))**2) + sqrt(51)\/sqrt(3)*-3.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5981 is divided by 995?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.8 - -0.2. Let t = -41.2 - -587.2. Let b = t + -547. Put z, 2\/7, 1\/9, b in increasing order.\nAnswer: b, 1\/9, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 6238 = 8212. Let w = g - 403. What is the remainder when 81 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s**2 - 5*s**2 + s**2)*(2*s**2 - 1 + 1) - 4179*s**3 + 1377*s**4 + 4179*s**3 to a*s + q*s**4 + n*s**2 + c*s**3 + j and give q.\nAnswer: 1379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1156290 * -0.5.\nAnswer: -578145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 3*h**5\/5 + 3*h**2 - 5*h. Differentiate r(b) wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, r: 2, u: 3, w: 6, p: 4, g: 1}. Give prob of picking 2 p and 1 j.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3424433299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suu when three letters picked without replacement from {u: 3, s: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 135, 270, 403, 534, 663, 790, 915?\n\"Answer: -i**2 + 138*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -275, -551, -829, -1109, -1391, -1675, -1961?\n\"Answer: -k**2 - 273*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 8) to base 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 886, 5766, 14638, 27502, 44358?\n\"Answer: 1996*r**2 - 1108*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from illgzdfzg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 1437 - 3367. Suppose 7*y - 1587 - q = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1451003*15\nAnswer: 21765045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 0*i**2 - 1 + 1 + 1 + i**2 + i. Let b(x) = 4*x**3 + x**2 + x - 3. Let q = -11 - -10. Let l(r) = q*b(r) + a(r). Differentiate l(f) with respect to f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 6*z - 17 + 16.\nAnswer: 8*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2 + 3*s - 3*s + 1. Let u be r(-1). Suppose c + 4*b - 7*b - 5788 = 0, u*c + 3*b = 23212. What is c rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -16. Let w = -12 - c. Let f be (-4 - 0) + 6 + w. Solve -3*b = 4*p + f, 4*p = -b + 3 - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/120*3*390\/(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**3 + 264*u**2 + 4*u + 173. What is n(-88)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-1\/13))\/(x*x**2*x*x)*x**(-2)\/x**(1\/8)*((x\/x**(-2\/7)*x)**(1\/16))**(2\/41) assuming x is positive.\nAnswer: x**(-155059\/29848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 + 43*m + 2. Let c(n) = -n**2. Give b(c(f)).\nAnswer: 3*f**4 - 43*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/84 + -4 + 152\/28?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8*z**5 + 27*z**4 + 23*z**3 - 27*z**2 - 28*z - 3. Let u(t) = -t**5 + t**4 - t**3 - t**2 + t + 1. Let v(d) = -n(d) - 3*u(d). Solve v(r) = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-3))\/2*((-756)\/(-480))\/(264\/880)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -25. Suppose 12 = -4*w + 4*o, 4*w = 2*o - 9 + 1. Let i be (w - 17)*1*-1. What is the highest common divisor of j and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 95796*q + 2294218404.\nAnswer: (q - 47898)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f**2*s**2*u - 32*f**2*s**2 + 29*f**2 - 332085*s**2*u wrt f.\nAnswer: 12*f*s**2*u - 64*f*s**2 + 58*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 77 = z. Suppose -16 + 148 = z*v. Calculate the smallest common multiple of v and 1\/8 + 372\/96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1703 is divided by 283?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7935 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-10))\/((-2)\/8). Let x = 1 - b. Suppose -m - 4*p + 8 = 0, 0 = x*m + 2*p + p - 24. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/45*18 - -3 - 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 294 and 82047.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3648\/11 + -25558\/77. Sort 4, 0.1, -0.5, z, -1\/9 in decreasing order.\nAnswer: 4, 0.1, -1\/9, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - i**2 - 111 + 109. Calculate x(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/sqrt(27))\/(sqrt(5) + -6*(sqrt(5) + sqrt(20)\/sqrt(4))) + 0 + sqrt(9)\/sqrt(3)*-6 + 4)**2.\nAnswer: -1592*sqrt(3)\/33 + 45409\/363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 9:34 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**3\/7 + 1402*o**2\/7 + 19332*o\/7 + 65952\/7 = 0.\nAnswer: -687, -8, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*h + h**2 + h**2 + 28*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (108*m - 275*m - 474*m)*(34*m - 33*m - 57*m) to r*m**2 + s + q*m and give r.\nAnswer: 35896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 685147?\nAnswer: 685144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 0.3, -1\/33?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from seecculeuc. Give prob of sequence sluu.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - p**2 + 2*p. Let u(v) = -134*v**3 - 4*v**2 + 3*v. Calculate 3*m(y) - u(y).\nAnswer: 137*y**3 + y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/((-10)\/(-4) + -3). Let r(h) = -291*h + 27. Let n(d) = -145*d + 15. Let x(y) = -7*n(y) + 4*r(y). Is x(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 12 = 2*m, 0*w = -w + 2*m + 8. Suppose h - w - 9 = 0. Let n = 64 - h. Calculate the highest common divisor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**6\/45 + k**5\/30 - 2*k + 1. Let t(l) be the first derivative of j(l). Let t(b) = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 0*t**6 + 0*t**3 + 0*t**7 - 1\/28*t**8 + 0 + 2*t + 1\/2*t**4 + 0*t**2 + 0*t**5. What is the third derivative of c(l) wrt l?\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 192*s**5 - 27888*s**4 + 215748*s**3 + 172299*s**2 + 43950*s + 3699 = 0.\nAnswer: -1\/4, 9, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3260.\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 2*l - 4 - 3)*(1 + 3 + 1 + (1 - 3 + 4)*(3 - 2 + 2)) + 1191*l - 634*l - 724*l in the form j + a*l and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 7*g + 276. Suppose 107*f - 885 = g*f. What is the remainder when f is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1899, -2098, -2293, -2484, -2671, -2854?\n\"Answer: 2*l**2 - 205*l - 1696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*h - 238 + 21 - 35 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.249? (a) -3\/4 (b) 8\/9 (c) -507 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -148, -330, -584, -910, -1308, -1778?\nAnswer: -2320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 w when three letters picked without replacement from bwwbbwwbbwbb?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 942 + 23. Suppose -5*d + f = -160. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 166.2 + -165. What is the nearest to -0.1 in 0.5, 1, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a431 (base 11) to base 5\nAnswer: -2334420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 3*x**2.\nAnswer: -x**2*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/3)\/(4\/(-9))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/9 (b) -3.161676 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4093 + 4121. What is the remainder when 311\/4 + (-5)\/(-20) is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -343 + 485. List the prime factors of n.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 654 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2416 - -2419. Let t be 15\/(-6)*(-6)\/(-5). Let o = t + 5. Solve -5 + f = -o*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 63, 75, 89, 105?\n\"Answer: l**2 + 9*l + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 23. Suppose 9*i - 3*i - 78 = p. Find the second derivative of -i + 10*w**2 + 13 + 5*w wrt w.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 146*x**4 + 50*x**3 - 10*x**2 - x + 9101. Let m(k) = 218*k**4 + 70*k**3 - 14*k**2 - k + 13652. Let t(f) = -5*m(f) + 7*z(f). Differentiate t(s) wrt s.\nAnswer: -272*s**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 6*n - 7. Let k be a(7). Suppose k = -p - 0*p - 2. Let j = 18\/5 - 17\/5. Sort p, -4, j.\nAnswer: -4, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0*p - 53*p**2 + 0 - 31\/6*p**3 - 13\/12*p**5 + 0*p**4. What is the derivative of k(j) wrt j?\nAnswer: -130*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 2*s = 22, 0 = 4*p - 45*s + 37*s - 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = j - 88. Let u be (j\/16)\/((-2)\/4). Solve -2 = b + u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 3*b**2 + 4*b + 3. Let i = 333 + -327. Calculate the remainder when i is divided by d(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8510\/7 + -1218. What is the common denominator of v and (-1)\/(-5)*(-705)\/(-12)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43482.3795 minutes in weeks?\nAnswer: 4.313728125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241929237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2186, 1071, -108, -1345, -2634, -3969, -5344?\n\"Answer: m**3 - 38*m**2 - 1008*m + 3231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 705\/(-188)*-4*-2*1\/3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 879264504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18939 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-4 - (-6 + 0)) + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3532 and 2400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1. Let o = -547\/15 - -110\/3. Which is smaller: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.6793 less than or equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560221446.\nAnswer: 2, 3, 93370241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 210941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1004 + -568. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 3*v - 5 + (-1 - 1 + 3)*(-2 - v + 2) + (-5202 + 9771 + 184)*(-5*v + 0*v + 3*v) + (4*v + 0*v - 3*v)*(1 - 1 - 1).\nAnswer: -9505*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 508\/125? (a) 0.06 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1446\/21 + 2\/14?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1212 is divided by 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b - 13*b - 6. Let l = -6 - b. Let w = l - -46. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-212)\/4)\/((-1)\/2). Suppose -5*l = -u + 1. Let g be (28\/l)\/(4\/8850). Round g to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1715) + ((sqrt(1715) + sqrt(1715)*-1 - sqrt(1715)) + sqrt(1715) - sqrt(1715)))\/sqrt(5) - sqrt(140)\/(2*sqrt(5)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/20 + (-52)\/8. Let w(i) = -7*i**3 - 7*i**2 + 15*i + 21. Is w(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - 98) + 66 - -36?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-189))\/((-184)\/138)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(735) - (2*sqrt(135) + sqrt(15)))\/(sqrt(320) + 6*sqrt(320)*-2 + sqrt(320)) + -4.\nAnswer: -4 - 7*sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 7*d**2 + 2. Let a be i(-7). Suppose x = -4*t, 0*x + a*x = -5*t. Solve 5*q - 15 = -x*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.9097367 rounded to two dps?\nAnswer: 33.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b**2\/8 + 5*b\/4 - 3\/8 = 0. What is b?\nAnswer: 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1001011110001 (base 2) to base 11\nAnswer: 3709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 480, 973, 1476, 1995, 2536, 3105, 3708?\nAnswer: 4351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1193.6284 rounded to the nearest ten?\nAnswer: -1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18\/31 + 129\/62. Which is the nearest to 1? (a) 21 (b) o (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 1424145?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmmjmjmmj. Give prob of sequence jmm.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 342 + 638 = 368. Solve -3*y + 18 = 5*b, n*b + 5*y = -22 + 39 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3893\/72 + 490\/9. Let q = 0.5 - 0.3. Which is the nearest to q? (a) o (b) -1\/4 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5 = p + 8, 5*f - 10 = -5*p. Solve d + 0*b + 3*b = 6, f*d - 2*b = -4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 + 178. Let n = -29 + c. What is the greatest common factor of n and 473?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 - 1 + 22 + 12369*l**2.\nAnswer: 12369*l**2 + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 772596 = 439*l + 310329. Is l != 5266\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g + 12. Let q be r(-4). Let f be (-3397)\/(-30) - q\/(-12). Let z = 219\/2 - f. Find the common denominator of -52\/5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-20)*(9\/(-33))\/((-18)\/8).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**9\/756 + a**6\/120 + 7*a**3\/3 + 1. Let k(q) be the third derivative of r(q). Find the third derivative of k(g) wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 20*f + 2. Let a be h(0). Let y(b) = -b**2 + 10*b - 11. Let n be y(a). Solve 0 = 5*r + n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 + 10*k - 10*k + (-3*k + 3*k + 2*k)*(1 - 1 - 1 + (1 + 3 - 2)*(1 + 3 - 2))*(-6 + 12*k + 6) in the form n*k**2 + j*k + q and give n.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 18 = -2*c, 6 = -6*c + 4*n + 20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 h, and 1 y when four letters picked without replacement from {y: 11, u: 7, h: 2}.\nAnswer: 77\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 185*k**2 + 8648*k + 8464.\nAnswer: (k + 1)*(k + 92)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/5)\/j)\/j**6*j**(-2\/3)*(j**15*j)\/j*j)**36 assuming j is positive.\nAnswer: j**(1428\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmjctbll. What is prob of picking 2 b and 1 j?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -656, -1110, -1564, -2018?\n\"Answer: -454*a - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 72 + 74 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-25)\/(-70))\/(-3*6\/63).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 3*q**2 - 3 + 0*q**2 + 2*q**3. Let j = 23 - 19. Let h(f) = 2*f - 5. Let y be h(j). Determine b(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u + 9*u + 6 + 12*u + 0*u. Let a be r(-3). Find the common denominator of ((-596)\/16 - -2)*(-4)\/a and -59\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -11*y + 16 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - -2 - (10 - (24 - 8))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.823492 centuries in millennia?\nAnswer: 0.7823492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1542548.\nAnswer: 2, 7, 89, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 46*y**2 - y - 7. Let f(u) = -35*u**2 + u + 6. What is 4*f(b) + 3*q(b)?\nAnswer: -2*b**2 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1380, -1385, -1390?\n\"Answer: -5*o - 1375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**3 - 27*y - 5. Let q be 4\/(16\/(-28)) - -2. Let m(d) = 20*d**3 - 68*d - 12. Let o(f) = q*m(f) + 12*l(f). Factor o(h).\nAnswer: -4*h*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2671 is divided by 159?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 - 45*x + 741*x**2 - 3*x**3 + 45*x.\nAnswer: -x**3 + 741*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**5\/120 + l**4\/8 + 10*l**3 + 2*l**2 - 11. Let x(p) be the first derivative of r(p). Give x(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 53. Let d(f) = -f - 110. Let s(u) = -d(u) + 2*p(u). Give s(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(10\/4) + 10. Let i = j + -7. Which is smaller: -3\/17 or i?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 354770 divided by 35477\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {a: 1, j: 1, n: 2, u: 1, e: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwaawaqqaqqwaqaaa. Give prob of picking 1 q and 1 a.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -92\/7 equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 44576610*v - 44576605.\nAnswer: -5*(v + 1)*(v + 8915321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is b2829 (base 16) in base 3?\nAnswer: 1101010222122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + (sqrt(1872) - -1*sqrt(1872)))*3)\/(sqrt(24)\/(sqrt(294)*1)).\nAnswer: 273*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 5*f**2 + f + 1. Let i be s(-5). Let n be 4\/10 + i\/(-40). Suppose -82*m = -46*m + 57*m - 186. What is the nearest to -0.4 in n, 1, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2*o + 2 = 2*i, 2*i = 2*o - 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*a + 2, -4*f + 5*f = a + 1. Let u = -445 - -443. Are u and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*s**2 - 3)*(-1727 + 3474 + 1465 - 12013 - 11355).\nAnswer: -40312*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -22 - 26. Let i = w + -6. What is the lowest common multiple of i and (1 - 6\/4)\/((-1)\/22)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.001689ng in grams?\nAnswer: 0.000000002001689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1007*i**3 - 6*i**2 + 19*i + 6. Let h(p) = 6043*p**3 - 35*p**2 + 111*p + 35. Calculate 35*c(r) - 6*h(r).\nAnswer: -1013*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 7*x**2 - 2*x - 10. Suppose -4*h = -2*o - 30, 4*h = -2*o + 2*h - 6. Let v be m(o). Suppose -g = v*g - 30000. Round g to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 5*o**4\/24 + o**3 + 182*o**2. Calculate y(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -0.6. Let s = q - -0.1. Let y be ((-24)\/(-20))\/((-4)\/10). What is the second smallest value in 5, y, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -1122*w + 1129*w. Solve 3*x = x + w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -867*m + 15. Let h(k) = 1730*k - 38. Give -2*h(t) - 5*z(t).\nAnswer: 875*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5384998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.9 - -9.4. Which is the third smallest value? (a) x (b) 0.1 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, 2, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -0.03, 59, 0, -5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 20*q - 15. Let f be y(-11). Solve -2*z - 2*j + 15 = -f*z, 0 = 3*z - 3*j + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g - 2*g - 3*g. Let f(i) = 51*i + 12. Let j(s) = s - 1. Let o(r) = f(r) + 12*j(r). Let c(q) = 2*q. Let y(a) = 36*c(a) - o(a). Determine y(b(x)).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 j when three letters picked without replacement from {j: 4, q: 4, b: 3, n: 8}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 1:54 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, x: 3, k: 5, d: 1, v: 2}. Give prob of sequence krv.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/2 - (-6386)\/(-721). Sort p, 124, -5 in descending order.\nAnswer: 124, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -108*q**3 + 5*q**2 - 5*q + 50280?\nAnswer: -324*q**2 + 10*q - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 406824 by -201.\nAnswer: -2024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2 - 22. Let z be d(8). Let y = z + 213. Is y < -8\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 313207272 to the power of 1\/2, to the nearest integer?\nAnswer: 17698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 201210 (base 3) to base 9\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/5184 and 59\/10.\nAnswer: 25920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-15))\/((-8)\/6 + 1). Is 25 a factor of (c\/(-2))\/(((-8)\/100)\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 2*c + 4*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26773 = a - 3*y, 5*y + 21 = 11. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42791597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + -10 + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4944, 6793, 8642, 10491, 12340?\n\"Answer: 1849*r + 3095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2147a6227 + -3?\nAnswer: -2147a622a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.86 - 5. Let n = -3.86 + j. Let t = 3 + -4. Which is the closest to -2\/3? (a) 2 (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*r)*(-5*r**2 + 7*r**2 - 5*r**2 + (3 + 0 - 5)*(-r + 2*r**2 + r)) + 2*r**3 + 2*r**3 - 5*r**3 to d*r + n*r**3 + w*r**2 + p and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b + 2*c + 16 = 23*b, 0 = -4*b - c + 22 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1197979 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -320, 5, -5 in decreasing order.\nAnswer: 5, -5, -17, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 65. What is the second derivative of -17*d**2 - 26*d**2 - i*d - 20*d**2 + 72*d**2 wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 639, 596, 527, 432, 311, 164?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 633 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 111083*b + 3158. Let i be d(-26). Round i to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 307579560*w + 7883765477482800.\nAnswer: 3*(w - 51263260)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + c + 10. Calculate x(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 362486*s**2 + 300061*s wrt s?\nAnswer: 724972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -10*u. Let t be (-2 - 6\/(-3))\/2. Let k(x) = -2*x + 0*x + t*x. Determine f(k(p)).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4849 divided by 3.\nAnswer: -4849\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.871 + 293.43728928.\nAnswer: 292.56628928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 363*s + 19607. What is l(66)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/1788 and -44\/2857.\nAnswer: 5108316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.15 and -91779?\nAnswer: 197324.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 79*f - 32. Let k(j) = -31 - 6*j + 37*j + 0 + 50*j. Let d(s) = 4*k(s) - 5*o(s). Differentiate d(z) wrt z.\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 13*h**2 + 6*h - 13. What is the units digit of r(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + l = -10. Suppose 3*y = -3*q + 102, 2*y - 62 = -y + l*q. Let d = 51 - y. Calculate the remainder when d is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -2\/3 (c) -0.3 (d) 4 (e) 0.022 (f) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1 + 0 - 2*v + v + 10*v. Suppose -3*x = u + 11, 14*x - 17*x + 1 = -5*u. Give j(x).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9*v. Let u = 4 + -1. Let m(d) = u*d + 15 - 15 - d. Calculate j(m(i)).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w\/w**(7\/11))\/w*w))**(1\/79)\/((w**(-3\/8)*w)\/w)**(-26) assuming w is positive.\nAnswer: w**(-33907\/3476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -23)\/(17\/(-9) - -2). Let b be ((-4)\/(-6))\/(24\/g). Suppose -p + 34 - b = 0. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1801519, -1801520, -1801521, -1801522, -1801523?\n\"Answer: -p - 1801518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(-25)*(-6)\/(36\/15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 256105633*i**2 - 207396714.\nAnswer: 512211266*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5764 = -2*m - 3*k, 0 = -2*m - 0*k + k + 5772. What is the least common multiple of m and 1?\nAnswer: 2885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 69 - 336. Suppose 2*v + 5*q = 35, 3*v - 8 - 38 = -q. What is the greatest common factor of v and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -4*y**2 + 0*y**3 + 0 + 0*y + 1\/3*y**4. Let x(j) = -2*j. Determine x(v(z)).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 925.3016us in nanoseconds?\nAnswer: 925301.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105330 (base 6) to base 15.\nAnswer: 29dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 + -53. Suppose 3*t - 4*t = -l. Let p(b) = -19*b + 7. Calculate the remainder when t is divided by p(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9275*111\nAnswer: -1029525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -28*g - 16. Let o(f) = -71*f - 32. What is 10*l(u) - 6*o(u)?\nAnswer: 146*u + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7019813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*g = -3, f + 5*g - 5 = -f. Suppose -4 = -4*a - f*a. What is the smallest common multiple of 10 and 1\/4*(a - -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 593 + -608. Which is the second biggest value? (a) v (b) 4\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.8 + -2.2. Let g = -9 - v. What is the closest to -2 in -3\/4, g, -4\/9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 32*s**3 + 2*s**2 - 26*s - 9. Let j(v) = 21*v**3 + v**2 - 17*v - 6. Give 8*j(r) - 5*x(r).\nAnswer: 8*r**3 - 2*r**2 - 6*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205 - -1.87.\nAnswer: -203.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4636 * 4101.8\nAnswer: 1901.59448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1 (b) 5 (c) -2\/11 (d) -2 (e) 4 (f) 2\/3 (g) -6\/1567\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3370, 6716, 10062?\n\"Answer: 3346*a + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 11*a**2 + 7*a + 28. Calculate k(12).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 860 and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13\/39)\/(2\/12). Suppose -4*c - c = -o + 32, 0 = a*o - 2*c - 56. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 136.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**5\/30 - c**4\/8 - 2*c**3\/3 + 1. Let k(i) be the third derivative of j(i). What is the first derivative of k(g) wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508718359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7930978 minus -22142.94?\nAnswer: 22140.1469022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - o = -85, 0*o = -5*q + 5*o + 395. Let l = 117 + q. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 556481334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -158 divided by 844\nAnswer: -79\/422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t**5\/3 + 100*t**4\/3 + 38*t**3 + 32*t**2\/3 - 8*t\/3 = 0. Calculate t.\nAnswer: -2, -1, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*b + 2211, -r - 4*b - 18 + 469 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7809863 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q*z**4 - 469*q*z**2 + 42*q*z + 39*z**4 - 3*z**3 wrt z.\nAnswer: 24*q*z + 936*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-2*t + 2*t - 2*t**2 + (-4 - 2*t + 4)*(-32 + 32 - 25*t) - 3*t**2 - 3*t**2 + 4*t**2).\nAnswer: 46*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 + 333?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*u + 19*u - 1202936. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3)\/(z*(z\/(z\/(z\/(z**7*z*z))))\/z)*(z*z*z**(-4\/5))\/z**(4\/3))**(-49))**(-46) assuming z is positive.\nAnswer: z**(81144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -258*t**4 - 14*t + 239*t**4 + 0 - 3*t + 37*t**2 + 2 - 36*t**2 to k*t**4 + b*t + h + j*t**3 + q*t**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 2915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 297532 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*z = -3*z - 32, 2*n - 3*z - 21 = 0. Calculate the remainder when n is divided by (10 + (-105)\/15)\/((-3)\/12*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2025.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -7 - 3. Suppose -b*k + 3*i = -k + 1, 0 = -3*i + 9. Solve -y - 1 = -5*m, -3*m + 0 + k = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d**2 - 4 + 7*d - 4*d**2 - 10*d**2 + d**3. Let l be g(6). Suppose l*c = 6*c - 44. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 18*u**2. Let f(n) = 23*n**2. Give k(f(w)).\nAnswer: 9522*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023842077 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcg when three letters picked without replacement from gggnghncggh.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15093493 is divided by 533?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.19366 rounded to 0 decimal places?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107 + 29. Let d(y) = -26*y - 6. Let n be d(-3). Calculate the common denominator of (w\/n)\/((-22)\/42) and -61\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyeoioieooeoyeeoo. What is prob of picking 2 o?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(1\/5)*s)\/s)\/((s\/(s\/(s**(-3\/2)\/s)*s)*s)\/s))\/(((s*s**6)\/s)\/(s\/(s**(-3)\/s)*s))*(s\/s**0)**(-2\/9)\/(s**(-2\/9)*s**(-1\/2)) assuming s is positive.\nAnswer: s**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4395.9995601 + 4396. Round k to five decimal places.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(240)\/(sqrt(125) + sqrt(5)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from {l: 1, j: 14, u: 1}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 5. Let v be (4\/j)\/((-10)\/(-4)). Let o = v + -2\/15. Is 0.2 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535\/1 - -6 - 10.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = 3*h. Suppose 3*s = -b + 14, h*s + 5*b + 8 = -0*s. Let v be (-8)\/12*36\/(-8). Calculate the greatest common divisor of v and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 180361, 360817, 541373, 722029?\n\"Answer: 50*j**2 + 180306*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4218820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 - -78.67. Let x = 0.07 - p. Which is bigger: x or -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4531 divided by -197.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 6)\/(1\/(-3)*-3). Suppose -r*m - 24824 = -14*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1 - 2 + 1 - 10444*v + 11468*v. Let l(g) = -3*g**2. Calculate f(l(p)).\nAnswer: -3072*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2 - (-1 - 9)) + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71\/171 + -11\/57. What is the closest to b in -0.06, -43, -0.2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2684 + 3100 = 32*w. Let y(t) = 2*t**2 - 24*t - 29. What is y(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1624 = -28*c + 25*c, 2*c + 963 = 3*i. What is the lowest common multiple of i and 68?\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -518.2 + -870.2\nAnswer: -1388.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59649476 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**6\/600 - r**5\/50 - r**4\/120 + r**3 - 782*r**2. Factor v(k).\nAnswer: (k - 5)*(k - 3)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -261*g - 5. Let y(w) = 1305*w + 27. Calculate 22*h(b) + 4*y(b).\nAnswer: -522*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -436, 3, -1, 4, 0.\nAnswer: -436, -1, 0, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -25784500 divided by 140?\nAnswer: -184175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2303 = -5*c + 1217. Suppose 2*z = 4*r - c, -5 = -2*z - 13. Suppose b + b = r. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/20)\/(1\/1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1606 - 335 = v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7909*h**3 + 6738*h**3 - 18496*h**3.\nAnswer: -19667*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {q: 3, p: 6, g: 1, e: 1, i: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 - 2*p - 8. Let c(m) = m**2 - 1. Calculate -2*c(k) - y(k).\nAnswer: k**2 + 2*k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 10. Let u be ((-5)\/8)\/((-539)\/88 - -6). What is the second derivative of -3*t**u - 16*t**5 + 4*t + 5*t + z*t wrt t?\nAnswer: -380*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13.89, 4894, -5, -3, 3\/4 in descending order.\nAnswer: 4894, 13.89, 3\/4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 3 = -6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18819460 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 3 - 21*y**2 + 24*y**2 - 2*y. Let x(b) = 3*b**2 - 3*b + 2. Calculate -3*o(p) + 4*x(p).\nAnswer: 3*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -10*d - d**2 - 7 - 2*d**2 + 2*d**2 - 2*d. Let a(g) = g**3 - 8*g**2 - 11*g + 12. Let v be a(9). What are the prime factors of m(v)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4861 or -398?\nAnswer: -4861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 94 and -0.9.\nAnswer: -84.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*u - 5*u + 38*u - 61 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 2*f + 5*f**2)*(2 - 2 + 6) to o + k*f**2 + a*f and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/14)\/(2\/(-7)). Sort 4, x, -4, 3 in descending order.\nAnswer: x, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x. Let l(d) be the third derivative of 1 + 0*d + 0*d**3 + 25*d**2 + 77\/24*d**4. What is l(f(c))?\nAnswer: -77*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-40)*(6\/(-10))\/3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, h: 1, i: 9, n: 1, m: 2}. What is prob of sequence mi?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2766?\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2022, 3767, 5492, 7191, 8858?\nAnswer: 10487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 16*g - 20*g + 1, 21*f - 2*g = 16*f - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53821 or 484378\/9?\nAnswer: 484378\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*v - 146 + 170 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**3 - 21*k**2 + 17*k + 234. Let h be p(-8). What is h rounded to the nearest ten?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 5*k - 255. Let c be p(-15). Suppose -7*r - 24 = -c. Suppose -j = -2*w + 30 - 3, -5*w = 2*j - 90. Sort r, -3, w in increasing order.\nAnswer: -3, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:08 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 4.2, 449511?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5624883?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -2\/3, -14, -3\/974, -0.3 in descending order.\nAnswer: 1\/6, -3\/974, -0.3, -2\/3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 5:12 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -3, -2227 in ascending order.\nAnswer: -2227, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -998 divided by 4.\nAnswer: -499\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121212222 (base 3) to base 13.\nAnswer: 11741","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -976.9418 - 0.0582. Let m = g - -977.00637. Round m to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**4\/4 + i. Let u(r) = 1. Let o(f) = -f - 2. Let d(b) = o(b) + 2*u(b). What is j(d(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94.788 + -0.212. Let t = -92.8411 - 0.1089. Let n = t - b. What is n rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 3*k - 53. Let r(o) = 3*o**2 + 10*o + 48. Calculate the remainder when r(-4) is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -70*f**2 + 643*f - 643*f - 17 + 2*f**2 + 17 + (2*f - 3*f + 0*f)*(3*f - 5*f + 3*f) + (1 - 1 + 2*f)*(-5*f + 2*f + 5*f) - f**2 + 2*f**2 + f**2.\nAnswer: -63*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29881469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1127 = -4*z, 4*b - 586 - 562 = -4*z. Suppose -6*x + 10*x = z. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from jwuaajajaa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18580, 37176, 55784, 74410, 93060, 111740?\n\"Answer: s**3 + 18589*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -108*r = -116*r + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.48*-4\nAnswer: 5.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {l: 1, s: 1, z: 1, f: 5, r: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9318 is divided by 434.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.112*72377.\nAnswer: 8106.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 7*m**2 - 4*m + 2. Let u = 475 + -433. Suppose -u*c = -40*c + 12. What is j(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.076 + -81.\nAnswer: -81.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -0.1. Let n be ((-20)\/6)\/((-4)\/(-6)). Which is the second smallest value? (a) n (b) -6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*m - 11894, -17*m + 2973 = -16*m - p. List the prime factors of m.\nAnswer: 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124577 take away 310909?\nAnswer: -186332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 17. Suppose -o - o = -k. Calculate the remainder when o is divided by (5\/2)\/(-1)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56\/57 or -1?\nAnswer: -56\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (-2*sqrt(156)*1 + sqrt(156)) - (3*sqrt(156) + sqrt(156))*-6)\/(sqrt(108)\/(sqrt(81)\/sqrt(9) + sqrt(9)) - -4*sqrt(48)))**2.\nAnswer: 35152\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 853, 2117, 3367, 4597, 5801, 6973, 8107?\n\"Answer: -t**3 - t**2 + 1274*t - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3097597\/484 + -6400. Let p = 1037\/11132 + f. Which is the closest to -2? (a) -2 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -0.4 (b) 2\/5 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 16244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 2*t - 38 = -11, 84 + 127 - 244 = -4*k - 4*t - 89 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -263, -1002, -153 in decreasing order.\nAnswer: -153, -263, -1002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 - 2.6?\nAnswer: -169.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6240.29 + -6251. What is c rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2404664*l**3 + 14*l**2 + 7*l + 2186907?\nAnswer: 14427984*l + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 i when four letters picked without replacement from qliiiittqiliii.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 784771032 to the power of 1\/2, to the nearest integer?\nAnswer: 28014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/4 (b) -4 (c) -0.3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65.7 + -1.7. Let v = -67 + z. Which is the nearest to 1? (a) 0.3 (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*t - 142, -2*n + 3*n + 2*t - 132 = 0. Suppose n = 2*w + 30. Suppose 0 = 3*y + 2*y - 90. Calculate the remainder when w is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 4*i**2 + 2*i - 4. Let z(l) = 6*l**3 + 20*l**2 - 9*l + 19. Let c(t) = 11*v(t) + 2*z(t). List the prime factors of c(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14521816.\nAnswer: 2, 491, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 r when three letters picked without replacement from rrhrbtbtbbtbbrrhb?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(-39) - (-68)\/12. Let s be (13 - 0) + 12\/z. Solve -s*h + 12*h = -9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6371.0888 rounded to the nearest 100?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3378 + 3376. Let m = 0.113 - 0.013. What is the closest to m in q, 0, 1, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.01 + -1.01. What is the closest to 0.1 in b, -3\/4, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 670*b + 3*b**2 - 670*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0*d)\/d)**(17\/2)\/(d**(-4)*d**4)*((d**2)**3)**29 assuming d is positive.\nAnswer: d**174","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 328452474 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(23 - -1))\/((-4)\/3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 3)*(2*h - 4*h + 0*h) + 7*h - 7*h + 3*h + (4*h + h - 3*h)*(-1 - 3 + 2) to the form d + f*h and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h**3 - 8*h**2 + 89*h - 80. What is w(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 15*x**2 - x - 1. Let o be f(-2). Suppose -2*c - n = 34, -3*c + 0*c - o = -n. Let y = c - -35. What is the greatest common divisor of 48 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -548, -552, -560, -572, -588, -608?\n\"Answer: -2*n**2 + 2*n - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100000010001011111101 (base 2) in base 16?\nAnswer: 3022fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 31*n**2 - 13*n + 57. Is b(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 3. Let t(s) = -s**2 - 7*s - 1. Let p be t(-6). Let l be 6\/(-1) + 1 + 5. Put p, f, l in decreasing order.\nAnswer: p, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r**3 + 2*r**2 + 2*r + 1. Let v = -3 + 5. What is the remainder when p(-1) is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27965157.\nAnswer: 3, 11, 41, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 619*t + 26. Let k = -73 - -76. Is b(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9208?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*((sqrt(125) + (sqrt(125) - -1*sqrt(125)))**2 + sqrt(125) + sqrt(125) + sqrt(125)) + -3 + 2.\nAnswer: -1126 - 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 36. Let s = -26 + 14. Let u = s - n. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 4:32 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -67 (b) -0.1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4393909.897557 + -524.888457. Let v = w + -4393577. Let g = 192 + v. Round g to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7)\/((-21)\/2070) + (-1 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 0\/5)\/(8 - -6 - 13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 840768376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 11) to base 6\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44609302?\nAnswer: 2, 19, 397, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, z: 2, t: 3}. What is prob of sequence ez?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s - 2. Which is the third biggest value? (a) 1\/3 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493674940 to the power of 1\/2, to the nearest integer?\nAnswer: 22219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13857284.\nAnswer: 2, 7, 494903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + 1 + 0\/2. Let m = v + 11. Solve -11 - m = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/5, -0.3, 0.5 in descending order.\nAnswer: 0.5, 1\/5, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/20*-4 + 3. Suppose s*n = 5*d + 279, 3*n = n + 3*d + 137. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6136 is divided by 6128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0 - (-19 + 24 + -5)) + -13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.47585709 and -9?\nAnswer: 9.47585709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-4200)\/600 + 4*3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 3*x**2\/2 - 3*x + 19. Calculate i(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + 5)*(-2*y + y + 3*y).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1224 + 34537*m - 294 - 34541*m - 102*m**2 wrt m.\nAnswer: -204*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**4\/32 - f**3\/8 + f**2\/8 - 111. Factor n(s).\nAnswer: s*(s - 2)*(s - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.50253 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.97 + -2. Let u = i - 4.97. What is the nearest to -1\/4 in 0.4, -2\/13, u?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166521814, -166521812, -166521810?\nAnswer: -166521808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/11)\/o)\/o**7*(o\/o**(-2\/11)*o)\/o**(-4\/9) assuming o is positive.\nAnswer: o**(-41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 323*q**3 - 6*q**2 - 2*q. Let u(g) = 971*g**3 - 16*g**2 - 5*g. Calculate -8*l(d) + 3*u(d).\nAnswer: 329*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1117, -1123, -1117, -1093, -1045?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112212 + 1000111?\nAnswer: 110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = -13*u - 108 - 73 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-46)\/16)\/(9828\/(-504))\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cznj when four letters picked without replacement from ccznjcr.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -1881, -117?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 165.8 - 166. Which is the nearest to -1? (a) 5 (b) -14 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/36*3)\/(2\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-15)\/2*6\/(-8) and (-7 + 65\/10)*165\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 12*j - 432. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 3*y**2 + 3. Let i be c(-3). Suppose 0 = -7*a + i*a + 52. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 8174\/1281 + 4\/(-14)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1096 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/9 (b) 5 (c) -11.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10663, 21144, 31231, 40726, 49431?\nAnswer: 57148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 169?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + 2*sqrt(162)*4)**2*-6.\nAnswer: 10368*sqrt(2) + 373392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 872.\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51.95 - 1.05. Let g = -0.08963846 + 53.08963396. Let b = g + x. What is b rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/5 + 54\/15. Let k be 1\/q - 91\/(-52). What is the first derivative of -2 + 209*g**k + 8 - 202*g**2 wrt g?\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 3120 = 5*r - 18*m, -3*m = 2*r - 1261. Calculate the greatest common factor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 0 - l**2 - 6*l - 5\/6*l**3. Find the first derivative of i(n) wrt n.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1781069?\nAnswer: 37, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47\/2 - -22. Let l be (2\/(-20))\/((-2)\/(-5)). What is the nearest to -0.2 in 3, n, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -31 + 45. Solve -d*a + 0 = -6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2814 and 504?\nAnswer: 33768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1450 - -1445.182. Let f = n - -28.048. Let i = -24.6 + f. Round i to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5788 (base 9) to base 12.\nAnswer: -2598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 10*a. Let o(p) = 3*p**2 + 2*p**2 - 13*p**2 + 4*p**2 + 8*p**2. What is i(o(b))?\nAnswer: 16*b**4 + 40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-50)\/175 + (-72)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131074549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/4645 + 4637\/18580. Sort d, 0, -7\/3, -0.5.\nAnswer: -7\/3, -0.5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - 1083\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l + 7. Suppose -32 = y - 36. Let d(x) = -x. Let m(v) = y*d(v) - z(v). Determine m(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3751597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 1 - (62 - 70)) + 15 - 43\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 648\/11 or 60?\nAnswer: 648\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/179 and 26\/5.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*o - 118*o + 2227 = 4*p, 3*p = 5*o - 3702. What is the greatest common factor of 624 and o?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 151410313745 and -0.268?\nAnswer: 151410313745.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2248 - -2282. Calculate the greatest common divisor of u and 5304.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154645479 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620492 = -26*m + 2440934. List the prime factors of m.\nAnswer: 3, 23339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -4, 0, 6 in ascending order.\nAnswer: -5, -4, 0, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1133736865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**5*n)**(-24\/11)*n**(10\/11)\/n*n**(-20\/9) assuming n is positive.\nAnswer: n**(419\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppp. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + -0.31. Let y = -281737\/8 + 35217. Suppose 2*p + p - 15 = 0. What is the closest to u in 2, p, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 + 355\/4. Let y = -2\/11 + -8\/77. Which is the nearest to l? (a) -1 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*j - 8. Let x(k) = 5*k**2 - 20. Let f(o) = o**2 - 4. Let q(s) = j*x(s) - 11*f(s). Calculate q(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 115296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 5*t**2 - 2*t**2)*(3*t**3 - 5*t**3 + 0*t**3) + 96*t - 206*t**5 + 204*t**5 + 93 - 94*t.\nAnswer: -4*t**5 + 2*t + 93","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -798 - -795.91. Which is bigger: m or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21203 + -20?\nAnswer: 21123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 11. What is the closest to -0.2 in -0.5, q, -0.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-4 - -3) - 3 - (-38 + -4 + 7)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -6 + -2 + 5. Let t = 4 - k. Let p = t + -4. Solve -p = -2*r + 4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/399? (a) -0.35 (b) -2 (c) -10 (d) 2 (e) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*(sqrt(112) - (1 + sqrt(112) + -1))*-6*-2 + -4)**2*-3.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**2*c**6 + 143*a**2*c**3 + 2*a**2*c**2 - 528*a*c**2 + 2*c**3 wrt c.\nAnswer: 240*a**2*c**3 + 858*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.42414 rounded to one decimal place?\nAnswer: -125.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 2*m**2 + 7*m + 3. Let u be n(6). Let c be ((2\/3)\/1)\/((-22)\/u). Solve -c*z = -4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**2 + 1749*s + 6948 = 0.\nAnswer: -579, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 2 (c) -860\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - x**4 - 77*x**3 - 7*x - 10*x + 9*x + 10*x as v*x**3 + m + z*x**4 + u*x + r*x**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198\/(-4)*2540\/(-5715).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-324)*16\/20.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4792 is divided by 357.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 - 52 = 2*a. Let h be 30\/a + (-533599)\/90. Let f = h - -5936. Find the common denominator of -43\/22 and f.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 2567?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/9 (b) -0.2 (c) -11\/608339\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 7*m - 4. Let z be q(-6). Suppose -1 + 55 = z*a. Suppose u - a = -13. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 28 + 1 + -12 + -20.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8257\/8 - 1041. Let x = m - -371\/40. Let j = -1.2 + 1. What is the third smallest value in x, j, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 85*l**2 - 15*l - 6. Let j be h(8). Suppose 5*u + j = z, 3*z + u - 10961 = 4965. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14601926 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 101*u**4\/24 - 2*u**3 + 4697*u**2. Let w(o) = o**2. Determine w(v(j)).\nAnswer: 10201*j**2 - 2424*j + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) 0.3 (b) 1\/3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*(sqrt(396) - sqrt(396)*3))\/sqrt(12))\/((3*sqrt(18)*1 - sqrt(18))\/(sqrt(24)*1 - sqrt(6))).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7552 less than or equal to -2409390\/319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 r when three letters picked without replacement from ryywwyyyrwwwwrwv.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v = 3*p + 21*v - 15, -4 = -p + 2*v for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1868 + 1862 - 108*w**2 - 3730 - 319*w**2 + 2*w to k + m*w**2 + x*w and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 235*n - 7836?\nAnswer: 235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + m**2 + 2. Let o = -16 + 13. Let t be q(o). Let l = t - 4. Which is smaller: -21 or l?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -3, -18 in decreasing order.\nAnswer: 74, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -2*c. Suppose -c*f = 5*n - 27, -3*n + 4*f = -3 + 10. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.144822g?\nAnswer: 144822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 18*x - 50. Let h(u) = u**2 - 32*u + 100. Give 4*h(s) + 7*z(s).\nAnswer: -3*s**2 - 2*s + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -7, 1\/3, -0.04, -3\/70 in decreasing order.\nAnswer: 1\/3, -0.04, -3\/70, -0.07, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12231, 48887, 109965, 195459, 305363, 439671, 598377?\nAnswer: 781475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -62, 177, 3, -5 in descending order.\nAnswer: 177, 3, 0, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60151?\nAnswer: 7, 13, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2642, 2643, 2644, 2645?\nAnswer: 2646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -181, -465, -983, -1813, -3033, -4721, -6955?\nAnswer: -9813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 d when four letters picked without replacement from {g: 2, v: 3, c: 3, d: 10, j: 2}.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127307299.\nAnswer: 7, 18186757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 - 39831*z**2 + 13 - 39847*z**2 + 2*z + 79664*z**2 as n + m*z + q*z**2 + k*z**3 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 smaller than -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -47 + 396*t**3 - 833*t**3 - 27*t + 2*t**2 + 121 + 436*t**3 in the form v*t**3 + l*t + q + o*t**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*z - 40 = 0. Suppose 0 = 3*c - 28 - z. Calculate the remainder when 47 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 311 - 311.22. Let o = -7.78 + i. Which is the third biggest value? (a) o (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31051122 (base 6) in base 4?\nAnswer: 3122010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5 + 22 - 20)*(-13714)\/(-1 + 3)?\nAnswer: 3, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-4))\/((-10)\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20000 is divided by 714?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 - 2*q**3 + 3*q**5 + (q**4 + 6*q**4 - 14*q**4)*(-q + q - 2*q).\nAnswer: 17*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + 2 + (-2*sqrt(2000))\/sqrt(4) + sqrt(135)\/sqrt(3) + 3*(sqrt(5) + 0))**2.\nAnswer: 56*sqrt(5) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/10*1*(2414\/71)\/68?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -540, -13, 2 in descending order.\nAnswer: 2, -13, -540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 1:38 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11475\/(-1020))\/((-135)\/(-144))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*o**2 + 64*o**2 - 20*o**4 + (2 - 2 - 2*o**2)*(2*o**2 + 3*o**2 - 3*o**2) as z*o**3 + q*o**4 + u*o**2 + i*o + v and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by (-2*(-2)\/(-6))\/(62\/(-465))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 308 - 314. Let r = -0.38 - 0.02. What is the smallest value in y, 5, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93 * -10107.6.\nAnswer: 940006.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j. Let u(q) = 5600*q. What is u(w(v))?\nAnswer: 22400*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5807*v - 29*v**3 - 15*v**3 - 5814*v.\nAnswer: -44*v**3 - 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1, -0.5, -54, 2\/7 in increasing order.\nAnswer: -54, -0.5, 2\/7, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 764*l - 766*l = -6. Which is the closest to 2\/3? (a) 1\/4 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 8 = 5*s, -3*s = -u + s - 12. Calculate the highest common factor of 8 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 96 - 20. Let p = j - -2. Let x = -16 - p. Solve -5*o + 5*s + x = 0, -20 = -3*o - 2*s - 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 29\/9) + (-42)\/(-14). Sort 1\/2, i, 2\/9, -0.06 in increasing order.\nAnswer: i, -0.06, 2\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 178438 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53\/4? (a) 3 (b) 1047\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 16) in base 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 24, -4, 2.3965, 0.23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -78.47617.\nAnswer: -313.90468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4000907?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4529 = -g + q - 4527, -8*g + 6 = -13*g - q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -297\/102515 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -447510 to the nearest 1000.\nAnswer: -448000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c + 121 - 4*c + 43 + 5*c**2.\nAnswer: 5*c**2 + c + 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 113.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99937741.\nAnswer: 29, 1297, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -333 (b) -2 (c) 1\/4 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.40653 rounded to one decimal place?\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.64373 and 0.2.\nAnswer: 0.84373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*a**4 - 141*a**3*q**2 + a**2*q - a*q - 876*q**2 wrt a?\nAnswer: -432*a - 846*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 491730 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w - 2. Let o be b(-4). Suppose -x - o = -3*x. Suppose -3*u + 4*u - 2*k - 12 = 0, k = -x*u + 36. Solve -3*f + u = -z, -3*z + 21 = 3*f - 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + u**2 - 23*u + 23*u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*70\/15*3*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*d = -2*b - 346*d + 17, 4*b - 52 = 4*d for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 118?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from yhyyhyhlyyhyyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 1. Let r be u(4). Suppose -r*l + 3*n = -0*l - 24, 5*l = -3*n + 24. Solve -5*h - q = 3, -l = 2*h - 3*h + 2*q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvruvreervvyvyvv. Give prob of picking 2 e and 2 v.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 218060773 bigger than 218060774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.99 - 0.01. Let c = -18.9 + 19. What is the nearest to c in r, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 10. Let y be u(5). Suppose -25 = y*x - 3*n, 2*x - 4*n = -9*n - 10. What is the third biggest value in -4, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 748*z + 57. Is g(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/14474271 and -34\/14474271.\nAnswer: 14474271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10}. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 56. Let k(r) = 33*r - s - 68*r + 34*r. Determine k(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71636857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5063595 and 13.\nAnswer: 5063608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5. Let g(p) = -p**2 + 6. Let o(u) = -6*c(u) - 5*g(u). Let l(s) = 12*s + 46 - 16 - 15 - 15. Calculate l(o(d)).\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6*-1)\/3)\/((-2)\/(-69) - 276376\/(-691656)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.44 + 0.06. Let i = 0.02 - r. What is the second smallest value in 3, 0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2625*g + 1. Let p(k) = 22316*k - 8. Give 60*i(q) + 7*p(q).\nAnswer: -1288*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 348902*f**2*z + 4*f*z - 2*z + 19253 wrt f.\nAnswer: 697804*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*g - 16 = 2*g, 0 = 3*g + 6. Suppose -2*h - u*h + 138 = 0. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 948563 to the power of 1\/2, to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432*y = -416*y - 448. Calculate the greatest common factor of 1316 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031685 rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10633 - -10638. Let q = 0.14 - -0.26. Sort q, -3, -0.06, a.\nAnswer: -3, -0.06, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -196 + 329. Suppose u = 2*y - 93. Suppose -y - 107 = -5*f. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284940 (base 12) in base 14?\nAnswer: -136b84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 1:06 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-86*j + 236*j + 278*j + 77*j + 317*j)*(-1 - 2 - 1) in the form g*j + t and give g.\nAnswer: -3288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 130, 144, 144, 124, 78, 0, -116?\n\"Answer: -s**3 - s**2 + 24*s + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -27 - (-87 + -11 - -142).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*j**2 + 2*j**5 + j**5 + 0*j**5 - 3*j - 6*j**4.\nAnswer: 3*j*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -55, -75, -113, -175?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - (0 - 21))\/(3\/(-63))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 + 5*y. Let m = -31 - -36. Suppose -m*o - o - 30 = 0. Let r(q) = -q**2 - q. Let z(c) = o*r(c) - n(c). Let u(p) = 10*p. Calculate u(z(h)).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/50 + 4\/((-20)\/243). Let p = y - -51. Which is the closest to 3? (a) p (b) 2\/13 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1993 + 1998. Solve 0 = -4*x - 4, 4*u - p*x = 9 - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 7:22 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6711910399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - ((6 - -1) + -60 + 35)) + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186 = -26*g + 22 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2635 divided by 155.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.4 - -58.4. Let g = -0.0022 + -53.1978. Let h = g + x. Round h to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**3\/3 - 1259*h**2\/3 + 33241*h\/3 - 217165\/3 = 0.\nAnswer: -1285, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 205365 + -2876595\/14. Let y = b - -466\/7. What is the common denominator of 61\/20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4407 years in months?\nAnswer: 65.2884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -127 (b) 3 (c) 14 (d) -1\/16 (e) 2\/15 (f) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 733030787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let k = 8.4 + -8. Let g(p) = 2*p**2 + 7*p + 2. Let m be g(-3). What is the closest to q in k, m, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 798, 1619, 2440?\n\"Answer: 821*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -13*w - 8*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -230, 4, 3, -3, 6.\nAnswer: -230, -3, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 3*g**2 - 5*g + 2. Let s be v(-4). Suppose i + 2*z - 18 = -4, -3*z + s = -i. Let y = i + -7. Is y bigger than -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7587896 (base 10) to base 7\nAnswer: 121332101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -159452 - 25.9648214?\nAnswer: -159477.9648214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 25. Let w = l - 2. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11220 + -11215. What is the closest to 2\/7 in 1, -1\/14, j, -2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -166*b - 238. Let m be a(-21). Calculate the greatest common factor of m and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102082333 and 10?\nAnswer: 1020823330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -39, -58, -103, -186, -319, -514, -783?\n\"Answer: -2*c**3 - c**2 - 2*c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -55*o + 18. Let k(z) = -14*z + 5. Determine -9*k(l) + 2*q(l).\nAnswer: 16*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = 15 - 47, -8816*t = -8815*t + 3*v - 5 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6904750416 and -0.4816.\nAnswer: -6904750416.4816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/4, -5 in decreasing order.\nAnswer: 1\/4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1904 is divided by 330.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 4*u**2 - 7. Let v(n) = -7*n**3 - 6 + 27 + 6*n**3 - 4*n**2 - 29. Determine 7*d(s) - 6*v(s).\nAnswer: -s**3 - 4*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 186440, 745734, 1677888, 2982902, 4660776, 6711510, 9135104?\n\"Answer: 186430*u**2 + 4*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-12 + 10 + -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 6*v**2. Let x be o(6). Suppose m = -x*m - 2. Calculate the common denominator of 119\/10 and 2\/33*(-123)\/m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*k - 12 = 0, -5*k - 1 = -6. Suppose 4*z + 435 = y*j, 5*j + 165 - 895 = 5*z. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*t - 6*t. Suppose -5*z = -t*z - 6. Suppose 0 = -2*p - 3*p + a + 6497, -z*p = -2*a - 2594. Round p to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 370 + 361. Suppose -773 = -m*c - 5*s, 2*c - 2*s - 262 - 232 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -9*n + 1. Let c be d(2). Sort -1, c, 4, 0 in ascending order.\nAnswer: c, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - 3*c + 74. Determine o(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -114 (b) -3 (c) -1\/4 (d) -0.01 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 7. Let a(s) = -640*s + 3200. Let y be a(5). Put y, d, -5 in descending order.\nAnswer: d, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14, 188 in decreasing order.\nAnswer: 188, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000041615194 to 7 dps.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 4)*(1 - 5*s + 7*s - s).\nAnswer: 5*s + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 8:17 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (84 - (15 - 12) - (18 - 0)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*s + 30 = 0, 3*m - 9 = 2*s - 4. Let p(v) = -v + 9. Let x(j) = -2*j + 13. Let g(i) = m*x(i) - 7*p(i). Differentiate g(w) with respect to w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.21, 9, 0.4, -371, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -67*y + 2. Calculate a(3).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 3532.299.\nAnswer: 3532.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40440432 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -13. Let u(n) = 2*n**3 - 6*n. Let y(o) be the first derivative of o**2\/2 - 40. Determine q*u(x) - 3*y(x).\nAnswer: -2*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -3\/37, -0.3, 10\/11, -0.9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1155 - 1154. Let p = 3.1 - 3. Let d = 0.14 - p. What is the closest to 0 in -4, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 9. Let o(m) = -5*m**2 + 5*m - 6 - m**3 + 2 + 0*m. What is o(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**5\/10 - 79*u**4\/3 - 1216*u**3\/3 - 2400*u**2 + 18*u - 3. Determine z so that k(z) = 0.\nAnswer: -150, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/1 + 7 + 3. Let q = a - 14. Let h(m) = 4*m + 26. Let l be h(-6). Sort q, l, -1 in ascending order.\nAnswer: q, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3813547, -3813545, -3813543, -3813541?\n\"Answer: 2*a - 3813549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n**3 - 4 - 5 + 32*n**3 + n**2 + 6*n**3 + 0.\nAnswer: 58*n**3 + n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 5:02 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71.6362 + 71.8. Let w = d - -0.0362. What is the biggest value in 0.59, -3\/7, w?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1, 37.1, 0.25, 2, 4\/3, -2\/7, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.37 times 68?\nAnswer: 15529.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {r: 1, w: 5, l: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13\/5 + -53\/30. What is the common denominator of (-44)\/(-24)*(-27)\/(-21) and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = 0. Suppose 32 = -2*l - 2*l - i, u = -3*l + 4*i - 24. Let y = l - -15. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -337 greater than or equal to -68\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 889.023 millennia in decades?\nAnswer: 88902.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**5 - 32*h**4 - 180*h**3 - 432*h**2 - 378*h = 0.\nAnswer: -7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -331 (base 7) to base 16\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14 - 0)\/((-25)\/(-50)). Suppose 12*p = 16*p + 2*f - n, 2*p - 26 = -4*f. Solve p = -0*q - q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 58, 141, 258?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 847 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 1 + 17*y**4 - y**2 - 3*y - 3*y**3 - 15*y**4 to the form n*y + d + q*y**4 + f*y**2 + v*y**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -329 and 43.884.\nAnswer: -14437.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -15, 0.1, 2\/13, -1\/7, 9\/2, -3\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 83202.66ml in litres?\nAnswer: 83.20266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*q + 16 = 0, 4*p = -q + 78 - 54. Solve 0 = -7*z + 5*a + 9, -10*a = p*z - 6*a + 36 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + w + 0 + 42 - 42 - 18*w + (-2*w - 3*w + 7*w)*(2 + 0 + 0) + 17*w - 170 + 170 in the form b + o*w and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*b - 59, -64 = b - 4*b + f. Let c be ((-27)\/12)\/((-2)\/16). Let p be 2250\/14 + c\/63. What is the greatest common factor of b and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -13*m - 4 + 14*m + 4. Let c(v) = -7*v. What is c(y(z))?\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 2) + 16\/1. Let g(v) = -v**2 - l + 3*v**3 + 16 - 4*v**3 + 0*v**2. Let m be g(0). Solve -m + 0 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 1411 = -22613. What is the remainder when 6011 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, 0.6, 0.02, -9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bub when three letters picked without replacement from {u: 2, g: 7, b: 9, s: 1, n: 1}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**2*m**3*o**2 - 2*a**2*o**2 + 13*a*o**2 + 24*m**3 + 2*m*o - 4753*o**2 wrt m.\nAnswer: 30*a**2*m*o**2 + 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -25119?\nAnswer: -5\/25119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000368544 rounded to five decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 214 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46)\/(-161))\/(2\/(-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25836207 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from hzzxzzzxxxxzz?\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from qcctcqcccqqmccqcq?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2037*g**5 + 14*g**3 - 2*g**2 + 135*g + 56 wrt g.\nAnswer: -122220*g**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -440 + 440.2. Which is smaller: z or -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**2\/2 + 16*u - 108. Give j(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49195561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 308 = -20. Let u = c - -80. Calculate the highest common divisor of 160 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10113 times -11?\nAnswer: 111243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 3 + (-31 - -25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a kilometer in meters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1505217.034 + 1505272.034000053. Let m = 55 - i. Round m to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 5859?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/56, 0.66, 23, -4?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-15) + 1415\/525*-7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -l + 16, -4*q + 2*l + 11*l + 1897 - 2019 = -9*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.604189 + 0.044?\nAnswer: 2.648189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26339829?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*n**4 + 75*n**3 - 3*n**2 + 48793*n wrt n.\nAnswer: -696*n**2 + 450*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -133957 and -26903?\nAnswer: 107054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (1 + sqrt(192) - sqrt(192))) + 2 + -1 + 1*sqrt(3)*2.\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.35 + -11.1. Round k to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5103*m**3 + 13*m**2 - 3*m - 11. Is d(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3063539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6194 and 23865482?\nAnswer: 6194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*i + 547 = 526, -3*i - 45 = -4*y. Put y, 0, 5, 63, -1 in decreasing order.\nAnswer: 63, y, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-9) + 260\/3. Suppose y - 227 = -5*l. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 6:29 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -2*n. Does 37 divide 238\/6 + n\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, y: 1, p: 2, o: 1, n: 8}. What is prob of sequence yndo?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 + 72*j**2 + 408*j + 55. Calculate c(-29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4393 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -2*y + 2 - 14, 99*d = -2*y + 103*d + 30 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72\/5 - -8203\/570. Find the common denominator of -55\/6 and c.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 428233, 428234, 428235, 428236, 428237?\nAnswer: 428238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1887\/5 (b) -1502 (c) -2 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g = -8. Let l(i) = -i**3 - 6*i**2 - 5*i + 2. Let a be l(-5). Calculate the least common multiple of g and (6\/4)\/(a\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2 + 2 - 2)*(235*x - 19 - 471*x + 222*x).\nAnswer: -28*x**2 - 66*x - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**18)**45*(v*v*v**(10\/7))\/(v\/v**(-21)*v*v))**(-2\/11) assuming v is positive.\nAnswer: v**(10998\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from {g: 1, n: 3, l: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37125 and 19743075.\nAnswer: 7425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(m\/m**1)\/m)**2)**(-2\/21)*(m*m**(-7)*m*m*m**8*m*m)\/(m**(5\/4)\/m*m*m*m**8*m) assuming m is positive.\nAnswer: m**(-457\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/11679129 and 69\/1496.\nAnswer: 1588361544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**2 + 4*t - 2. Let o be n(2). Let f = 55.2 + 6.8. Let a = -63 + f. Which is smaller: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369927.\nAnswer: 3, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -5180063 != 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-161*k**4 - 148*k**4 - 250*k**4)*((-6*k + k + 3*k)*(-1 + 0 - 1) + 0*k + 8*k + 7*k).\nAnswer: -10621*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3419 + -3412 + -48 + -1?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**5*x + 134*l**4*x - l**3*x + 458*l**2*x - 2*l**2 wrt l?\nAnswer: 60*l**2*x + 3216*l*x - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17157 + -16707. What is the highest common divisor of 3330 and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*k - 42*k**3 + 39*k**3 + 3 + 0*k - 2*k.\nAnswer: -3*k**3 + 49*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -4\/5 (c) -239.1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/18 - 88\/234. Let d = 5069 - 15077\/3. Let v = 43 - d. Which is the third smallest value? (a) 2 (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.0503\nAnswer: 0.02012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 14*u + 7. Let r be 4\/(-24)*3*-16. Let h = -2 - -26. Calculate the remainder when f(r) is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1938062313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -640 - -710. Calculate the remainder when j is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a - 14*a + 484 = -12*a for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 times 31388?\nAnswer: -8474.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 2*f**2 - 28*f - 10. Let m be n(9). Suppose 6*k + 4*b - 23 = 5*k, -3*b + 12 = 0. Which is bigger: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.49 + -0.21. Let p = -1.3 + v. Which is smaller: -0.2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/1 - -2 - 4. Let c(m) = -1 + 108*m - 53*m - 53*m. Let u(s) = -5*s + 3. Calculate n*u(j) - 7*c(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 g when four letters picked without replacement from geqoo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 - 12*q - 9. Let b be (-46)\/(-5) + (-1)\/5. Let a be x(b). Calculate the common denominator of -14\/11 and 802\/a + (-12)\/54.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11976 by 24.\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgg when three letters picked without replacement from {z: 2, g: 4, s: 5, k: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5423623.\nAnswer: 5423623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05041 + -0.062. What is l rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 259 * -36407.\nAnswer: -9429413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 7 + 43. Suppose 82 - 74 = 4*c. What is the second biggest value in c, -0.2, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -48.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -37, -36, 214, -30 in ascending order.\nAnswer: -37, -36, -30, 4, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.78492 + 0.841. Round h to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40587 (base 10) to base 7\nAnswer: 226221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2124.348 months in millennia?\nAnswer: 0.177029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) -9\/2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 956.581 kilograms in micrograms?\nAnswer: 956581000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + 2 + 3*(sqrt(112) + (-5*2*sqrt(112) - sqrt(112)) + (sqrt(112) - (sqrt(112) - (2*sqrt(112)*-4 + sqrt(112))))))**2.\nAnswer: -1224*sqrt(7) + 291323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -185.88 + 189. Let x = 0.12 - m. Which is the biggest value? (a) -0.4 (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 1. Let h be (2\/3)\/((-6)\/(-27)). Let q(m) = 3 - 6*m**2 + m**3 + h*m - 3 + 6. Give q(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12626962 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54902862 is divided by 27451406?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**3 + 13*g**2 - 15*g + 15. Let k(u) = 2*u**3 + 6*u**2 - 7*u + 7. Let q = 26 + -32. Let m(w) = q*t(w) + 13*k(w). Give m(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwcwcwccwc. What is prob of picking 2 w?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 35*h - 1. Let a be i(-1). Suppose 65*u = -453 - 67. Let w be (-21)\/6 - -2 - a\/u. Which is smaller: w or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022525419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -8*b**3 + 5*b**2 + 5*b - 3. Let g(a) = -a**2 - a. Let x(r) = -5*g(r) - o(r). What is the first derivative of x(v) wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*r - 2*r, 0 = 4*y + 5*r + 57. What is the hundreds digit of (-5 + (-1484)\/y)\/(1\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (4 + 12 - 29 - (-5 - 5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c79 (base 15) to base 5.\nAnswer: -42224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153) + -2)**2.\nAnswer: -24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*22509\nAnswer: -11254.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -48, -135, -298, -561?\n\"Answer: -4*i**3 - 2*i**2 - i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100127 + 172267. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(1\/(-1 - (-4 + 2))). Let n be ((-9)\/(-3))\/v + -2 - -63. List the prime factors of n\/(5\/(20\/3)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58.1 - 58. Which is the nearest to n? (a) -8 (b) -1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87151, -4, 4, -20, 0, 5.\nAnswer: -87151, -20, -4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 184573691 divided by 3359?\nAnswer: 54949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 7 - 7 - 15 = 0, 0 = -5*z + 7*m + 14 + 27 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**4 + 13*t**3 + 37*t**2 - 10*t = 0 for t.\nAnswer: -2, 0, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -568.84\nAnswer: 113.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0825 rounded to 3 decimal places?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r**3 + 203432*r**2 + 15*r**3 - 203432*r**2 - 9*r**3.\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758996*n = -759127*n + 6812 for n.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 20 = -5*r, 5*u + 52 = -2*r + 9 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 28*y**2 + 37*y - 86. Give x(-26).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4547170 by -730.\nAnswer: 6229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311*r**2 - 4*r**2 + 131*r**2 + 584*r**2.\nAnswer: 1022*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2892516 and 351560?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1656238 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14951 + -8673. Does 24 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -861407.3 rounded to the nearest one hundred?\nAnswer: -861400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121 - -112. Let s(q) = q**3 + 8*q**2 - 9*q + 3. Determine s(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-1*-3)\/(sqrt(360)*1).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*n - 14 = 0, -3*n = -5 - 1. Let g be 2\/w*27\/(-78)*12. What is the nearest to 0.1 in 0.1, 3\/8, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(7) - sqrt(21)\/sqrt(3)*-4).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*q + 127*q - r = -4*r + 99, 125 = 5*q + 4*r for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -26 - -16 - -8)*(2\/(-20) - 0)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.8931804929 and -2.\nAnswer: -1.1068195071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58339?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -83624 take away 0.2?\nAnswer: -83624.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4*-5)\/(-2))\/((-100)\/(-25))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269581918 is divided by 96?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 507865106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {c: 2, h: 4, i: 1, v: 1, p: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -50*o - 493. Let m(b) = -3*b. Determine m(h(r)).\nAnswer: 150*r + 1479","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4600 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q - 33. Let t be (-8)\/(-5) - (235\/(-25) - (-27)\/3). Calculate c(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 106, 35, -106, -341, -694?\nAnswer: -1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91988*n**4 - 55*n**3 - 102848*n - 5 wrt n.\nAnswer: 1103856*n**2 - 330*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**9\/15120 + y**8\/1680 - y**7\/630 - y**4\/6 - 4*y**2. Let s(t) be the second derivative of f(t). Factor s(w).\nAnswer: -w**2*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-164124)\/63*2\/4040. Let j be -2 - (-2 + (-4)\/(-1010)). Let m = c - j. Calculate the common denominator of 77\/8 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8127\/130 + 866\/13. Let p be 2 - (-15)\/((-68)\/(-40) - 2). Find the common denominator of (1*30\/9)\/(p\/116) and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -561*x**2 - 2*x + 12. Let y(m) = 561*m**2 + m - 9. What is -3*j(k) - 4*y(k)?\nAnswer: -561*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -1)\/((-3)\/(-1)). Suppose -n + 3*u - 7 = a, 0*n + 4*n = 2*u - 8. Is 1\/3 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/(-68)*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 4 = 4*a, 0 = -5*s + 3*a + 2 - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -745, -3087, -6999, -12487, -19557, -28215, -38467?\n\"Answer: -l**3 - 779*l**2 + 2*l + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -685494*m**2 + 6*m**3 + 0*m**3 - 3*m**3 + 685494*m**2.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15427973 to the power of 1\/2, to the nearest integer?\nAnswer: 3928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -199*o + 3. Let f(x) = -8*x**2 - 10*x. Let p(b) = -6*b**2 - 8*b. Let k(i) = 4*f(i) - 5*p(i). What is k(m(j))?\nAnswer: -79202*j**2 + 2388*j - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 17 = -y, 4*f - 10 = 2*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 13*k**2 + 33*k - 24. Calculate c(15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6270\/(-370) + (15 - -2)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -6 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**3 + 86203 - 86206 - 12*h**3.\nAnswer: -22*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8105384?\nAnswer: 2, 7, 23, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-24) + (-27)\/(-12). Let f be (-1 - z) + (24\/(-4) - -21). Solve -5*u + 2*y - 30 = -10, f = -3*u + 3*y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92.19 - -127.19. What is the nearest to 0.2 in 1, -1\/4, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -3*r**7\/35 + 5*r**4\/24 - 4*r**2 - 8*r. Let k(o) be the first derivative of u(o). Find the second derivative of k(i) wrt i.\nAnswer: -216*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50186197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 2*b + 4. Let c be (-2)\/(-4) + (-7)\/2. Calculate the smallest common multiple of y(c) and 1\/2 + (-42)\/(-4).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 3:37 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1496, -1615, -1834, -2165, -2620?\nAnswer: -3211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1704694 (base 10) to base 8\nAnswer: 6401366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.168, -3, -1\/7, -2 in ascending order.\nAnswer: -3, -2, -1\/7, 0.168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**6\/120 + o**3\/6 + 14*o**2. Let y(m) be the third derivative of m**6\/120 + m**3\/3 + m**2. Calculate 2*i(d) - y(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-4)*u**2\/u*u*u**(2\/7)*(u\/(u\/(u\/(u*u**(2\/11)*u))))\/u)**(-15) assuming u is positive.\nAnswer: u**(-5895\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 88529760929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 8 = 5*v. Find the second derivative of -2*m**4 - 5*m + 8*m + v*m**2 - 2*m**2 wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2. Let t(r) be the third derivative of -2*r**4 + r**2 - 42*r. What is j(t(u))?\nAnswer: -2304*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 35345\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 258 - 239. Solve -49 = -u*h + 84 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 24*b - 52. Suppose 0 = 2*a + a - 9. Suppose a*u - 25 = -2*u. What is the smallest common multiple of n(-21) and u?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 - -9. Let o = 96 - h. Which is the nearest to 2\/5? (a) -0.3 (b) o (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 1.392.\nAnswer: -1.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzdz when four letters picked without replacement from {z: 4, d: 2, c: 1, a: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*q + 34 = 154 - 860 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 9 + 11. Suppose -z*r = -2*h - h + 182, 4*r + 128 = -2*h. Calculate the remainder when r*(15\/6 + -3) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 684 + -680. Let h = 0.1 - -0.9. Let v = 40 - 241\/6. What is the closest to 2\/7 in h, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 21*t**2 - t + 2. Let p be b(-2). Let k = p + -58. What is the common denominator of 47\/7 and 4\/k*(-81 - 0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260698?\nAnswer: 2, 130349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -27*h**4\/2 - h**3\/3 - 59*h**2\/2 - 42. Find the second derivative of z(g) wrt g.\nAnswer: -324*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2139 - 1327 = 197*x - 314 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9c4 (base 13) to base 10\nAnswer: -1681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 9. Let c be ((-24)\/(-16))\/((-57)\/(-24) + -2). Calculate the greatest common factor of u and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1) + (-4)\/(-3). Let t be (0 - -2)\/(3 - 1). Let i = t - 0. Are i and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 35*b - 36*b. Is 1280 + (2\/(-2))\/(b\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 41 = -3*r - 9, -5*r + 52 = -y. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 5. Let i(g) = -2*g + 6. Let u(t) = -t**3 + 6*t**2. Let c be u(5). Suppose -2*w + 7 = c. Let k be 4\/18 - (-56)\/w. Give k*i(j) - 7*l(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -678*w**3 + 57 + 3*w**2 - 61 - 1258*w**3 + 4.\nAnswer: -1936*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 - -0.69. Let k = -160 - -142.6. Let s = 17.9 + k. Which is the nearest to 1? (a) u (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -100. Let b = o - -52.2. Let l = 0.8 + b. What is the closest to -1 in -5, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 3873090?\nAnswer: 3873090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -172, -351, -556, -799, -1092, -1447, -1876?\n\"Answer: -2*b**3 - b**2 - 162*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48032.12 centuries in years?\nAnswer: 4803212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.34 + -27. Let r = u + -28.34. Let c = -29 - r. Which is smaller: c or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 8:19 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 8:18 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 54 = -13*z. Let k(c) = 2*c**2 - 7*c - 6. What is the tens digit of k(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8a + a1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*f + 34 = -210 + 31. Let v = 0 + -1. Which is the nearest to v? (a) 1\/7 (b) f (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23620 divided by 1181.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**5\/60 - 9*n**2. Suppose l + 6 = 4*l. Let k(a) = -l*a + 6*a - 3*a. Determine k(d(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brbbbbrbrb. Give prob of sequence rrb.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49549900 by -4954990.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13761 divide 6955538733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.0565973 months?\nAnswer: 0.000088049775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 39728.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -3e?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10*o**3 + 100*o**2 + 335*o + 210. Let u(g) = g**3 - g**2 - g + 2. Let y(f) = -h(f) - 15*u(f). Factor y(i).\nAnswer: -5*(i + 1)*(i + 4)*(i + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 8. Let c(d) = -d + 1. Let u(n) = 6*c(n) + h(n). Let t = 108 + -113. Let i be u(t). What is the greatest common factor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99382?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 13) in base 8?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 12. Solve -4*b + n = 29, -2*s + 4*b = -22 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 + 576*u**2 - 2958*u - 1073. Give a(-197).\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(13) + 0 + 0 + (-1 + sqrt(13))*-4 + 0) + -5.\nAnswer: -29 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -59. Suppose n = -0 + 1. Is n bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7384506343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g + g + 6*g + 2*g - 1 - 610*g**2.\nAnswer: -610*g**2 + 20*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/9)*y*y**(1\/8)*(y*y*y*(y\/(y**(4\/3)*y*y))\/y)\/y*y\/(y\/y**(1\/3)*y) assuming y is positive.\nAnswer: y**(-71\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10 + (-3 - -9))*1570\/(-40). What is the greatest common divisor of k and 4239?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48199 less than 51541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 49, 51, 53, 55?\n\"Answer: 2*a + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -23301221 (base 4) to base 3\nAnswer: -2110011102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**2 + 2*w + 3. Suppose -3*z - 3*t + 279 = -327, 0 = -z + 4*t + 192. What is the remainder when z is divided by b(-3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -9033 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129 + 202. Let s = u - 46. Let i = -25.3 + s. What is i rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45, -93, -141, -189, -237, -285?\n\"Answer: -48*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*c + 71*c = 58*c + 563290. What is the smallest common multiple of 18 and c?\nAnswer: 55710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2.7. Let o be (-24)\/(-18)*-3 + 110\/25. Which is the fourth biggest value? (a) -39 (b) 0 (c) o (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-3*b**2 + 0*b**2 - b**2)*(-3 + 1 - 2).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22197320 rounded to the nearest one hundred thousand?\nAnswer: 22200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 28 (b) -2.47 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 v, and 1 w when three letters picked without replacement from {x: 3, w: 4, g: 3, v: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 1:29 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m, -3*m + 0*m + 15 = -n. Let p = 11 + n. What is the lowest common multiple of 22 and p?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -351, -350, -349, -348?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 4*r**2 + 9*r + 6. Let t = 7 + -13. Does 5 divide a(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 24*m**3 - m**2 - 3*m + 4. Let i be s(1). Suppose 20*j - i*j + 48 = 0. Solve j = -4*x + 5*a, 3*x + x - 2*a = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 135483853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 36 = 4*w, -46*w - 4 = -48*w - x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 4, -6.5, 0.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 - 62 - (8 + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 4*l - 1, 2402*c - 2400*c + l = 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*m - 3*w = -54*m + 26, -4*w = 5*m + 28. Let o(d) be the second derivative of d**4\/12 + d**3\/2 + d**2\/2 + 4*d. Give o(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 13288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9626003 or 9626009?\nAnswer: 9626003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000211814 rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**4 + 15708*w**3 - 854526*w**2 - 1756188*w - 885951 = 0 for w.\nAnswer: -1, 57, 5181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, f: 9}. Give prob of picking 3 k and 1 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(6*(sqrt(700) - -2*-3*sqrt(700)) - (-5 + sqrt(700) + -2)*3))**2*-6.\nAnswer: -41188014 + 748440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from zaoszozgzszxgzzzzxz?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 23 - 158 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35114.\nAnswer: 2, 97, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + 4*z**2 - 5*z**2)*(-2*z + 4*z - 3*z) - z**3 + 5*z**3 - 3*z**3 + 391*z**2 + 391*z**2 - 785*z**2 - 2*z**3.\nAnswer: -3*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3938, 7874, 11810, 15746, 19682, 23618?\nAnswer: 27554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242 and 2080958?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/3, -1\/115, 10, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2256.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 5*k + 0*k)*(2*k - k + 0*k) - 4*k + 4*k + 3*k**2 + 1 - 1 - 2*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 greater than 223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.5 - -24.5. Which is the fourth smallest value? (a) -0.3 (b) -2 (c) p (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117*p - 16*p**4 + 91*p**2 + 11*p**4 + 2*p**4 - 5 - 93*p**2 to the form j*p**3 + q*p**2 + n*p**4 + m + a*p and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 18 = 4*k. Let l = k - 2. Solve 3*c = 4*c - 2*m + 13, 5*c + l*m = 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*y, -x - 46 = -2*x + 5*y. Let b = x + 24. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -21.36. What is o rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 315970718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 3) + -45 + -89 + 82 + 13 + -1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 4. Suppose q = 4*k + 10, 8 = -4*k + 2*q - a. Is (6\/k)\/((-4)\/182) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/2)\/(1\/(-6)). Suppose j*u - u = 3*n - 107, 2*u + 191 = 5*n. Let a = 88 - n. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*p - 259 + 44 = 0, -q + 5*p = -14. What is the remainder when 115 is divided by q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**2 - 4 + 3 + 16*t**2 + 26*t**2.\nAnswer: 29*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-8 + 354\/30 + -4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*q - 3*i, -4 = -5*q - i + 6. Let w(m) = 6 - q + m - 5. Let n be w(4). Solve 5*g + 2 = -n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 5*u + 17, u - 6*g + 2*g - 11 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 + 3*i + 2. Let j be d(2). Let c = 3 + -2.8. Let v = c + -0.1. What is the closest to v in -2, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f + 13 = 4*s, -2*f - 3*s = -18. Let x be (-10)\/(f - 1) - -5. Is -6\/7 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 0 = -5*o. Let n(f) = f**3 + 6*f**2 + 4*f. What is the lowest common multiple of 4 and n(o)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-12) + 18\/8. Suppose 0 = -3*o - 5*q + 6*q + 6, 0 = -5*o + q + 8. Suppose o = -a*b + b. Which is smaller: b or 20?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 3*u**2 - 5*u - 2. Let k be h(-4). Suppose 7 = -3*y + 13. Solve 3*z = y*v + 7*z - 4, 0 = -4*v - 5*z + k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 423\/39 + 12\/78. Suppose p - 23 = f. Suppose p = 4*w - 190. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*h - 31 + 37, -3*s + 3 = 4*h. Let z = 4 + -4. Suppose -2*i - i = z. Solve h*o + i*o + 15 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(17)*2 + -3)**2.\nAnswer: -32*sqrt(17) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 0*b - 13. Calculate the greatest common factor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 + 1.29. Let k = 0.2 - f. Let h = -5 - -8. Which is the closest to k? (a) 2 (b) -1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6789 and 3255?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.6 and 295.93?\nAnswer: -473.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -549, -600, -685, -810, -981, -1204?\n\"Answer: -n**3 - 11*n**2 - 11*n - 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 271, 277, 285, 295, 307?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1071 = 11*m - 1690. List the prime factors of m.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 12. Let n be 35*((-28)\/y + -4). Let j = n - 26. Round j to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 46\/14 + 4\/(-14). Suppose 6*f - 9 = r*f. Solve -g + f*g - 10 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 2:24 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 409215 divided by -1\nAnswer: -409215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2790 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 4, -0.4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -9*j**3 - 5*j**2 + 2*j - 9. Let d = 14 - 7. Let b(r) = 13*r**3 + 7*r**2 - 3*r + 13. What is d*h(t) + 5*b(t)?\nAnswer: 2*t**3 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**4\/22 - 10*w**3\/33 + 32*w**2\/11 - 72*w\/11 + 44. Let t(d) = 0. Calculate d.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 84?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/12)\/(4\/40).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1133220 divided by 22220.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72357 is divided by 268.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1078*q**2 - 91*q + 179. What is the thousands digit of y(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*(-27)\/(-28728)*19.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -32 in descending order.\nAnswer: 0, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287 = 99*z - 98*z. Is 286 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**21\/(p**(2\/3)*p)**(11\/5))\/((p*p\/(p*p*p**(-2))*p)\/p*p**(5\/7))**4 assuming p is positive.\nAnswer: p**(-746\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -84, -6, -2, 3, -3 in decreasing order.\nAnswer: 3, 1, -2, -3, -5, -6, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - w = 5, -5*v + 4*w = -46 + 53 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + b = -5, -13*b = v - 8*b - 17. Solve o - v*n = 5, 3*n = -3 - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -340?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4997*f**3 + 2*f**2 + 14*f - 32. Is u(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/60 + (-3)\/(36\/(-2))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6791, 6980, 7433, 8264, 9587?\nAnswer: 11516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -78481, -135662, -192843?\n\"Answer: -57181*d - 21300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 182*u - 106*u - 141*u + 968*u.\nAnswer: 903*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 1. Suppose 0*g + 9*g = 63. Suppose g = 4*s - 1. Let x(o) = 3*o + 0*o + 2*o - 4*o + 2. Give s*x(h) - 3*u(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((6\/18)\/(-1))\/1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 528216 and 105144?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**3 - b**3 + 3*b**3)*(-3130*b - 2863*b - 1678*b - 1054*b - 4776*b - 17126*b) in the form s*b**2 + v + c*b + r*b**3 + o*b**4 and give o.\nAnswer: -30627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14378a (base 12) in base 10?\nAnswer: -338074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 != -21596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-665)*(1\/(-1))\/1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -153*r**6\/40 - 339*r**4\/4 + 141*r**2 + 3. Find the second derivative of o(t) wrt t.\nAnswer: -2754*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 17*h**2 - 17*h - 24. Let g be i(-16). Let k be -1 + 9 + g + (-2)\/(-15). Sort 1, -3\/8, k, 1\/5 in ascending order.\nAnswer: -3\/8, k, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + 124. Let k(z) = -4*z + 252. Let l(j) = -13*f(j) + 6*k(j). What is the derivative of l(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1051*i. Let l(a) = -4*a. What is y(l(k))?\nAnswer: 4204*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*f = 0, 0*o - 4*f - 10 = -o. Find the common denominator of (7\/56)\/(o\/25) and 43\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377 = -217*g + 188*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2536695 - 4589295. What is o rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from aaaaaaauaaaaaaaaaaaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 1. Let j(c) be the third derivative of c**5\/15 - c**4\/8 + 7*c**3\/6 - 99*c**2. Calculate -j(u) + 5*m(u).\nAnswer: u**2 + 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09821 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 0*s + 0 + 1\/24*s**4 + 0*s**3 + 2*s**2 + 1\/40*s**5 - 1\/144*s**6. Let f(p) be the second derivative of b(p). Give f(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010919 to six decimal places.\nAnswer: 0.000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 394 = 4*o + 4*u, 0 = o + 4*u - 116. Let y = o + -93. Solve b + y*x - 8 = 0, 0*x = -b + x - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 6:53 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -261791245*b**5 - 153225164*b.\nAnswer: -5235824900*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 24 = -5*r, 10*b - 11*b = -r - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.43630522 + -0.06?\nAnswer: 22.37630522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5 = 2*v - 5*v, 4*v - q = 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 25, 1460 in increasing order.\nAnswer: -11, 25, 1460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2157848.\nAnswer: 2, 7, 11, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26379126 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i**2. Let s(d) be the second derivative of -61*d**3\/2 - 641*d. Determine k(s(x)).\nAnswer: 234423*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -217522*u**4 - 2*u**3 - 6644720*u**2 + 4*u wrt u?\nAnswer: -5220528*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -5*p**2\/2 + 3*p + 617. What is w(-9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**8\/420 + 2*i**7\/105 + i**6 + 54*i**5\/5 + 117*i**4\/2 + 918*i**3\/5 + i**2 - 9*i. Determine c so that v(c) = 0.\nAnswer: -3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**3 - o**2 - 5*o. Suppose -3*c + 7*j = 72, -c - 12 = 3*j - 4*j. Let m(z) = -4*z**3 - 4*z**3 + 2*z**3 + z**2 + 4*z**3 + 4*z. Give c*r(w) - 4*m(w).\nAnswer: -w**3 - w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 75*w**2 - 39*w + 1. What is the remainder when m(6) is divided by 130?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00406251 rounded to 4 decimal places?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*m - 329 = 320, -m - 785 = -5*u. Let p = u - 49. List the prime factors of p.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*h**2 - h - 2*h**4 + 69*h**2 + h = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 9:26 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 105?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 62.4? (a) -0.4 (b) 0.4 (c) 1\/11 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469335609?\nAnswer: 7, 61, 491581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.11 + -4.89. Suppose 0 = 4*p + 4*t - 40, 0*t = 5*p - 5*t. Which is the second smallest value? (a) k (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4466 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 - 39 = -38*m + 823 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 7*v**2 - 9*v + 10. Let k be i(8). Suppose 4*n - x + 32 = 0, -4*n - 4*x + 0*x = 32. Let f = k - n. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5)\/x**(-4))\/(((x*x\/((((x\/x**(8\/9))\/x)\/x)\/x)*x)\/x)\/x**(-14)))**(-2\/15) assuming x is positive.\nAnswer: x**(1304\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 91*f**2 - 179*f + 96. Calculate r(89).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) -4 (c) -0.11 (d) -15 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 4, j: 1, b: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 235676 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -134 + -97. Let b = 161 + v. Let z = b + 149. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37714 greater than or equal to 37767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.54 times 170763\nAnswer: 92212.02","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*k**3 + 25*k**2 - 25*k**2 + 11108 - 11108.\nAnswer: -83*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30312 (base 4) in base 16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8804, -7740, 5, -4 in descending order.\nAnswer: 5, -4, -7740, -8804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 3*r = 15, 14*n - 11*n + 2*r = 25. Let s be 4 + (-1)\/(-2)*-2. Suppose -g = -5*k + 3, -5*k = 3*g - 3*k - 8. Solve s*v = n*v - g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*d = -d - 2500, 3*r = -3*d + 2505. Suppose -41*f + 39*f = -r. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11466 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u + 0*u + 7*u + (-3 - 13*u + 3)*(6 + 3 - 4)*(2 + 0 - 1) to the form g*u + k and give g.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -32\/45*w**6 + 0*w**3 - 2\/9*w**4 + 2\/9*w**7 + 11\/15*w**5 + 11*w + 0*w**2 + 0. Find o, given that p(o) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(816\/476 + 33\/42))\/(2\/(-155))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 401 (base 9) to base 11\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 227537*y**2 + 49*y + 142450107 wrt y.\nAnswer: 455074*y + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -1, 3, 74, -491?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -84, -1\/8, 69\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10220 and 1330?\nAnswer: 194180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 + 0 = 2*z, 2*z + 5*t + 17 = 0. Let n be (-2)\/z*(-5 - -1). Differentiate 6 - 2*q**2 - 3 - 4 - 2*q**n with respect to q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 11*f**2 - 4*f + 17. Let s be 8 - -1 - (1 - 2). Is h(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 divided by 39?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*i**2*n - 243093*i**2 + 13846*i*n**3 wrt n.\nAnswer: -12*i**2 + 41538*i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 - -2. Let q = -0.5 + v. Let t = 246\/5 - 49. Put t, -1, q in ascending order.\nAnswer: -1, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1789 and 2.26?\nAnswer: 4043.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*f - 68*f - 440 = 0. What is the highest common factor of f and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110459*i**2*n**2 + 5*i**2*n - 6093*i*n wrt n?\nAnswer: -220918*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, 3, 229, 42 in decreasing order.\nAnswer: 229, 42, 8, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76543925?\nAnswer: 5, 41, 53, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 335 - 72 - 74 + 5*x**3 - 130 - 72 - 50*x**4 in the form z*x**2 + l*x**4 + n*x**3 + g + j*x and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9501 = h + 2469. Suppose h = -5*o - 1918. What is o rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00188 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -12*n**2. Let p(y) = -46787*y**2. Calculate p(b(r)).\nAnswer: -6737328*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.11\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.2 + -3.7. Which is the closest to 2? (a) 2\/17 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-470)\/30 + 8 + 20\/12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.73931 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 39.\nAnswer: -5\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) + (-21)\/84. Solve 2*w - 6*w + 8 = o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdq when three letters picked without replacement from qqqqdqqq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2882142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 11*q**6\/120 - q**5\/8 - 67*q**4\/48 - q**3\/4 - 2*q + 649. Factor w(s).\nAnswer: s*(s - 3)*(s + 2)*(11*s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385 and 5214?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4132 is divided by 159?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r - 4. Let n(v) = -3*v - 14. Let z be n(-6). Give t(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54458 is divided by 11290?\nAnswer: 9298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5304 (base 6) in base 8?\nAnswer: -2250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2383*m - 527*m + 3008*m.\nAnswer: 98*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4502 - -9398. Is o a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-19)\/(-44) + (-2)\/8. Let q be (4 + -2)*(3 + -5). Sort m, q, 2.\nAnswer: q, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -3. Suppose 5*s - 46 = -46. Suppose 0*r - 15 = 3*r. Sort r, s, y in descending order.\nAnswer: s, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 1818?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 289 + -2020\/7. Factor 3\/7*b**2 - 6\/7 - m*b.\nAnswer: 3*(b - 2)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -589*k**5\/10 - k**3 + 12*k**2 - 3*k + 211. What is the second derivative of f(z) wrt z?\nAnswer: -7068*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 746 - 530. Let j(a) = 86*a - 247. Let b be j(6). Suppose 3*w + 3*n - x = 2*n, 4*w - 5*n = b. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 134570 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -514478 or -514482?\nAnswer: -514482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*n**2 + 2 - 39*n**2 - 4 + 19*n**2 + n**3 + 11*n to f + t*n**3 + j*n + m*n**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -381914 by -794.\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147, 139, 129, 117?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2320 (base 4) to base 10.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -133 + 145. Let f be 9*-3*(-2)\/6. Suppose -2*m + 4*g + 34 = 0, 4*m - 3*g + 20 = f*m. Calculate the remainder when s is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - ((39 - 46) + (13 - 4))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164390952 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1633 + -1436. Calculate the remainder when t is divided by 120.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/4, 10, -0.5, -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 214700*n**5 + 82289*n?\nAnswer: 4294000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 4:19 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (36\/(-14))\/(((-5)\/(-35))\/(-1)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 5, -7.\nAnswer: -7, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, 3, 5 in increasing order.\nAnswer: -3, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-96)\/15 + 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - 87.2. Let q = 19 - 19. Let u = q + 0.04. Which is the second smallest value? (a) -1\/4 (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 11*o**2 - 11*o + 17. Let v be n(-12). Suppose -22 = -v*x + 3*a + 2, x - 9 = 2*a. Suppose -7*g + 804 = -x*g. What are the prime factors of g?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10112721, 20225456, 30338191, 40450926, 50563661?\nAnswer: 60676396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*z - 3380 = -5*z - 10*z. What is the remainder when 454 is divided by z?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, 1, -1\/638, 6, 0.1?\nAnswer: -1\/638","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33141422 + 4?\nAnswer: -33141415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13, -11, -5, 5?\n\"Answer: 2*i**2 - 4*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*a + 158 = 0, t - 5*a + 10 - 60 = 0. Let v = 33 - t. Let d(j) = -v - 4 + 15 + 4*j + 7. Let p(g) = 2*g + 7. Calculate 6*d(c) - 13*p(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -18. Let h(g) = -11*g + 17. Is h(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 4*k**2 + 4*k + 7. What is b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 1:04 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 + 1 - -1 - (-12 - (-11 - -6)). Let r = 5.3 - 5. Which is the fourth smallest value? (a) 2\/7 (b) k (c) r (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - k + 1. Let n(h) = 10*h**2 - 3*h + 3. Calculate -n(i) + 3*u(i).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 3981 - 3981.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*b - 9325 = -1385*b + 27338 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t + 3*k - 27 = 0, 0 = 2*t + 4*k + 18. Calculate the common denominator of -43\/5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16567098 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 11*q**2 - q - 11. Let h be v(-11). Solve -x + 4 + 0 = h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 3*s - 33, 4*s - 14 + 20 = 3*f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5698592?\nAnswer: 2, 37, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222 - 107. Suppose 11*n - 6*n - b = 0. Is 6 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -11*u**2 - 212*u + 52. What is p(-22)?\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*m + 85*m - 606 = 0. Suppose -20 = -3*l + l. Solve -3*f - 7*u + 3*u = -l, -m*f + u + 5 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138144.016 rounded to the nearest 1000?\nAnswer: 138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 36\/55, 4\/3, -113.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -49.\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oai when three letters picked without replacement from oiiiaiiiiafiifiaiii?\nAnswer: 13\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 464 and 2299352.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 + (1 - 1) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 37\/2. Let k be 1\/((-3)\/(-7)) - 2. Let t = 19\/3 + -139\/21. Which is the smallest value? (a) z (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 446393 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7570 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-20)\/(c*c*((c*c**15)\/c)\/c))\/(c**(-32)\/(c*c*c\/(c*c\/((c**6\/c*c*c)\/c))*c*c*c*c)))**(-1\/54) assuming c is positive.\nAnswer: c**(-7\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.54887l in millilitres?\nAnswer: 28548.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -1 + -8 + (3 - -13) - 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 41 = 5*x, -3*x + 12*o - 9*o = 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48950, 49119, 49290, 49463, 49638, 49815, 49994?\n\"Answer: w**2 + 166*w + 48783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 5*g**2 - 4*g + 1. Let a be o(-3). Suppose -2*p + 35 = a. Let w(l) = 24*l**2 + l + 1. List the prime factors of w(p).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k - 2*k**2 - 4*k + (9*k**2 - 4*k**2 - 2*k**2)*(-3 - 3 + 4) as y*k + s + o*k**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 4*j**2 + j - 4. Let o be (7\/(-4))\/((-3)\/48). Let t = 75 - o. What is the remainder when t is divided by d(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**17)\/b)**(-5) assuming b is positive.\nAnswer: b**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10067966, 20135952, 30203962, 40272008, 50340102, 60408256?\nAnswer: 70476482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -74? (a) 4 (b) -611\/5 (c) 24\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3737365733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 14*r**2 - 1275*r + 24370. Determine c(29).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 259411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 35153 = 233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q - 2*q)*(3*q - 5*q + 3*q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9\/65 + -7\/13. Suppose 2*z - 6 = 4*m, -2*m - 4 = -m - 3*z. Which is the closest to -1\/5? (a) r (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13107 + 8687. What is v rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = m + 2, -2 = -4*m + m - 5*n. Let u = -23 - -23.038. Let r = u - -0.962. Which is the closest to m? (a) -1 (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 25, -4*k + 15 = -3*t - 2. Is t greater than or equal to 0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*((-2)\/15)\/(16\/20). Let z = -4.18 - -3.9. What is the third smallest value in n, z, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -409*h**2 + 471*h?\nAnswer: -818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-111)\/(-18))\/((-5)\/(13 + 2))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10547*18\nAnswer: 189846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100222 + 2200100?\nAnswer: 1022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 23. Let q be n(-11). Let f(z) = 3*z**2 - 2*z - 1. Let a be f(2). Let d = a - q. What is the highest common divisor of 209 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -75667579?\nAnswer: -5\/75667579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/sqrt(4)*4)\/(sqrt(18)*-4))\/((5*2*sqrt(108) - sqrt(108))\/((1*sqrt(576) - sqrt(576)) + sqrt(576))).\nAnswer: -8*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + 0*d**3 + 0*d**3 + (3 - 3 + d)*(d**2 + d**2 - 3*d**2) - 8*d**3 - 213*d**2 + 213*d**2 + (d - 3*d + d)*(d + 2*d**2 - d))*(-1 + 1 - 2).\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 3, -3.\nAnswer: -3, 3, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + 26. Suppose -2*z = -z - a. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 635\/(-7) + 13165 + -13082.\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 6*a = 5*a + 20, 5*a + 8 + 7 = -5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1992 and 277417872.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -234 + 239. Put -4, s, -7, 3 in increasing order.\nAnswer: -7, -4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9575*m**3 + 19394*m**3 - 9671*m**3.\nAnswer: 148*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18934.9 - -16559. What is q rounded to the nearest 10?\nAnswer: -2380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r - 256 - 107 = 0 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -314, -628, -942, -1256, -1570?\nAnswer: -1884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127561, 127562, 127563, 127564, 127565, 127566?\nAnswer: 127567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -18. Let g = s + -54. What is g rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 4*r + 43, 2674*r + 50 = s + 4*s + 5339*r - 2670*r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 204400114?\nAnswer: 204400111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6208 and 1261.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.5 - 6. Let o = -3 - m. Let j = 144.7 - 145. What is the nearest to 1 in j, o, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**5*v))\/(v\/v**6))**(-8\/11))**(5\/2) assuming v is positive.\nAnswer: v**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5994 = 3810628*a - 3810662*a - 2220 for a.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23414154.\nAnswer: 2, 3, 131, 29789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g - 157. Calculate o(47).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87 + 96. Suppose -2*v = -p*v + 1477. List the prime factors of v.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 5*w**2 - 8*w + 10. Let c be z(-7). Suppose 1 = 3*s + 4. Let n be (-56)\/c*(s + 9). Calculate the highest common divisor of 42 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*w - 5334681 = -97*w. What is the thousands digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5192 and 40?\nAnswer: 25960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**6\/120 + v**5\/60 + v**3\/3 - v**2\/2 + 4*v. Let b(j) be the first derivative of p(j). Determine b(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**3 + 14*r**3 + 7*r**3.\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18124, -36627, -55128, -73627, -92124, -110619, -129112?\n\"Answer: y**2 - 18506*y + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75615977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, i: 1, j: 2, h: 8}. What is prob of sequence jhh?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15900500 by 22715.\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3963*5 + (13 - 7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 390*g**2. Let z(w) = -72*w**2. Calculate z(t(s)).\nAnswer: -10951200*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = l - 4*k, 5*l = 3*k + 39 - 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 712*b. Let q(v) = 648*v**2. Calculate q(s(o)).\nAnswer: 328499712*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66401 - 1817715*x**3 + 908857*x**3 + 908859*x**3 - 66401.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 1\/24*j**5 + 0*j - 1\/240*j**6 + 38*j**2 + 0 + 1\/4*j**3 - 7\/48*j**4. Factor b(f).\nAnswer: -(f - 3)*(f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16857464 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 8:24 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 10010101120220100?\nAnswer: 10010101120220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24474056.\nAnswer: 2, 3059257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 11*s - 16*s - 30, 4*p + 2*s + 30 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 620*g - 124*g - 1032*g - 1651*g.\nAnswer: -2187*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75322798 - 152434468. Let t = l + 77111678.0000106. Let b = t + -8. What is b rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 229588*a**2 - 37*a + 49. Let x(l) = 114794*l**2 - 19*l + 25. Let c(g) = -3*k(g) + 5*x(g). Let i be c(13). What is i rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15957483*p**6 + p**2 - 9169*p - 41.\nAnswer: -1914897960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(-3161*s - 61375 + 61375).\nAnswer: -3161*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 9, 6, 4, 8, -31, -2 in ascending order.\nAnswer: -31, -2, 4, 6, 8, 9, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -66. Solve x*c - 7 = 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41658806 and 42.\nAnswer: 124976418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - 71. Suppose c*m - 35 = -3*m. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aav?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*v = -0*d - 12, -4*d - 3*v + 24 = 0. Let f be (-2)\/13 + 28\/13. Suppose 6*j - j + f = 4*x, -3*j - 8 = x. Sort -1, d, j in descending order.\nAnswer: d, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*k + 253*k + 609*k)*(k + 1 + 1 + 1).\nAnswer: 891*k**2 + 2673*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/(-1360) - 208\/(-34)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.5, 883, 3\/5 in ascending order.\nAnswer: -0.5, 3\/5, 2, 883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.782 + -1.682. Put -14, -4, m in ascending order.\nAnswer: -14, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3 - 7*n**2 - 8*n - 7 + 8*n**2 - 5. Is 15 a factor of z(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**2 - 4*a. Let b(d) = 9*d**2 - 9*d. Give -2*b(w) + 5*q(w).\nAnswer: 7*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, 12, 85, 260, 579, 1084?\n\"Answer: 7*o**3 - 12*o**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.5. Let z = -1 + 1.3. Let i = -32.21 - -22.21. Which is the smallest value? (a) -0.1 (b) z (c) i (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2998497549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**4\/6 + 3*y**2 - 6*y. What is the derivative of j(q) wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34, 25, 4, -35, -98, -191?\n\"Answer: -y**3 - 2*y + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/32763321?\nAnswer: -2\/32763321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*(sqrt(3078)*-1 + sqrt(3078)))\/(-6*-1*sqrt(200) + sqrt(200) + sqrt(200)*-1*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h - c + 32, 3835*c - 9 = -3*h + 3838*c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 (base 10) in base 9?\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/13, -50, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 263bb - 41?\nAnswer: 2637a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.24 + 3.76. Let d = 150437\/5 + -30207. Let f = d + 120. What is the smallest value in 0.5, y, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59129\/8 + -7391. What is the third biggest value in -4, -1\/7, 7, h, -4.8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1435 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -623 * 0.3.\nAnswer: -186.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -13*n**2 - 50*n + 64. Let h be j(-5). Let b(d) = -78*d**2 - 11. Let v(u) = -39*u**2 - 6. Calculate h*v(p) + 6*b(p).\nAnswer: -39*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42760281 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76473 - 25493 - 25494 - 25486 + 42*q**3.\nAnswer: 42*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 550?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2.2*-58889\nAnswer: -129555.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -13 + 20 - 18 + q - 2*q. Let s = 44 + -58. Let x be r(s). Solve 0 = -m - x*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 43*o + 0*o**3 - 2 + 0*o**5 - 139\/30*o**6 - 57\/4*o**4 + 0*o**2. What is the third derivative of z(t) wrt t?\nAnswer: -3336*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + -5*sqrt(209) + sqrt(209))*3 - sqrt(209) - sqrt(209) - sqrt(209))\/(sqrt(891)*-4).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 38.75?\nAnswer: -13.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/5)\/((p\/(p**(4\/15)\/p)*p)\/p)*(p**(-10))**9 assuming p is positive.\nAnswer: p**(-277\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*t = -249*t + 536*t - 324 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 - 2*y**2 + 3. Let m(a) = 2*a**3 + a**2 - a - 2. Give -3*m(b) - 2*v(b).\nAnswer: -2*b**3 + b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 200634 (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28878650321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 608161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0*y*y**(3\/2)*(y*y**6)\/y**(1\/7))**37 assuming y is positive.\nAnswer: y**(4847\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 10*r**2 + 6*r + 1. Let l(s) be the first derivative of 19 - 2*s**2 - 7\/3*s**3 - s. Determine -5*d(y) - 7*l(y).\nAnswer: -y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -82, -158, -272, -436, -662, -962, -1348?\nAnswer: -1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**4 - 5*w**4 + 46*w**4)*(1 - 2 + 3).\nAnswer: 78*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3027 - -3024. Sort 0.4, s, -35 in ascending order.\nAnswer: -35, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 2*u + 2. Let i be f(0). Suppose 0*w - 187 = -5*k - w, i*w = -4*k + 146. Let d = 75 - k. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2 - 5577*p + 22356 = 0. What is p?\nAnswer: -1863, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 430*r**2 - 1312*r**2 + 438*r**2 + 15*r**3 - 10*r + 2*r + 442*r**2 + 13 - r**4 to the form h*r + t*r**3 + w + a*r**4 + i*r**2 and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3783 + 3785. Put -5, -0.01, k, 3\/2, 0 in descending order.\nAnswer: k, 3\/2, 0, -0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/39 + (44\/(-110) - (-18)\/(-30))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from nnteenonnetoteoneeo?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5044 divide 707168800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 17*r**2 - 2*r + 6. Let b be k(13). Calculate the greatest common factor of b and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -505?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -2*s + 2*j - 23, -25 = 3*s + 2*j for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q - 10092 - 7048 = 0. Let u = q - -863. Solve u*m + 14 = 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 10148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366078 = 76*b - 42*b. What are the prime factors of b?\nAnswer: 3, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 422*r**4*y - 2*r**4 - 3*r**3*y**2 + r**2*y - 2*r*y**2 - 1752*r wrt r?\nAnswer: 10128*r*y - 48*r - 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 1\/6*u**3 + 1\/20*u**5 + 0*u**2 + 1\/12*u**4 + 0 + 11*u. Let g(w) = 4*w**3 + 5*w**2 + 5*w + 1. What is 5*c(d) - g(d)?\nAnswer: d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 10:17 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -31, -78, -143?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*p**3 + 57*p**2 + 54*p**6 - 28*p**6 - 12*p**6 - 2*p**3 wrt p.\nAnswer: 1680*p**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 0.1062.\nAnswer: -3.8938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75*53.\nAnswer: -3975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 40 = -4*a + 25, 5*a + p = 105. Suppose -15*g = -19*g + a. Solve -g*l - 18 - 2 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744417 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*sqrt(245) + sqrt(245)).\nAnswer: -21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(0 + 6 + -9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11342.24 years in centuries?\nAnswer: 113.4224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*t + 57*t = 2*y - 63*t - 4, 4*t - 8 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -14261*f + 57186. What is n(4)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0. Let j be (15\/(-2))\/(x\/2). Suppose 0*y = -2*y + 4*p + 34, -4*y + 4*p + 64 = 0. Calculate the highest common divisor of j and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1295, 1278, 1237, 1160, 1035, 850?\n\"Answer: -2*f**3 - 3*f + 1300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-6)*1746\/(-485)*44\/(-16)*-2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 40 = 67. Put 5, -5, z, 3 in ascending order.\nAnswer: -5, 3, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = -5*b. Suppose 0 = -3*w + 8*w. Suppose -z = -w*z. Sort b, -4, z in ascending order.\nAnswer: -4, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9363893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -220?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w = -2*r - 18, 2*w - 12 = -4*r. Let o be 6 - (13 + -9 + 4\/(-2)). Let b be o\/2 + 6 + -1. Solve -w = -4*n - 5*m, -5*n + 2*m + 10 = b*m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 300\/105)\/(1\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 36976?\nAnswer: 73952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 6:55 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100011111111010 (base 2) in base 3?\nAnswer: -11021011201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -160, -157, -154, -151, -148?\n\"Answer: 3*v - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1071*n**3 + 33*n**2 - 33*n - 33. Let j(q) = 67*q**3 - 2*q**2 + 2*q + 2. Calculate -33*j(d) - 2*w(d).\nAnswer: -69*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 4. Suppose 5*w + 49 = -4*p, 27 = 3*p + 3*w + 63. Let m = 29 + p. Calculate the remainder when m is divided by f(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008876 rounded to seven decimal places?\nAnswer: 0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 234 - 361. Let f = 189 + u. What is the remainder when f is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 21*s**2 - 15*s + 17. Let l(k) = -1. Let g(o) = -j(o) + 3*l(o). Let b(i) = 4*i**2 - 3*i + 4. Give 11*b(m) + 2*g(m).\nAnswer: 2*m**2 - 3*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1805*u + 400. Let o(p) = 1218*p - 270. Let i(w) = 27*c(w) + 40*o(w). Let k(v) = -v + 0 + 0. Determine i(k(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 407497.9g to nanograms.\nAnswer: 407497900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 + 10*k**2 - k + 9. Let m be w(5). Let t be 0\/11 - (0 + -3). What is the units digit of ((-3 - -5) + t)\/(m\/76)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 55 (b) 10.71 (c) 2\/7 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 1, 22, -2 in decreasing order.\nAnswer: 22, 1, 2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/3*(-92905)\/(-2186)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**6\/u)\/u)\/u**(2\/17)*(u*u**(-3))\/(u\/(u*u**2\/u)))**(-41))**18 assuming u is positive.\nAnswer: u**(-36162\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 2231202?\nAnswer: -2231211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 298 = w + t, -924 = -3*w - 4*t. What is the second derivative of -341*k**5 + w*k**5 + 0*k + 41*k wrt k?\nAnswer: -740*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from pipwppwwwppiwpewiwr?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12863 + -2b05?\nAnswer: db5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2112039634 to the nearest integer?\nAnswer: 45957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 216, 330, 446, 564, 684?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113 - -210120?\nAnswer: 210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1416*r**4 + 457 with respect to r.\nAnswer: -5664*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -995*x + 1380*x + 3465 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**3 - 6*k**2 - 15*k. Let s(l) = -7*l**3 + 11*l**2 + 30*l. Let q(p) = -11*f(p) - 6*s(p). What is the second derivative of q(j) wrt j?\nAnswer: 54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 715 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 70, 81, 92?\n\"Answer: 11*d + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-15))**48 assuming t is positive.\nAnswer: t**(-720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12249716 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(162\/18)*3\/(-147)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 197*z + 797. Does 110 divide v(49)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191870479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*2*1*23\/(-92). Is -1\/12 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 - -37?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:56 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(11) + -2*(sqrt(11) - sqrt(99)) - (sqrt(176) + -2)).\nAnswer: -5*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1658.03 - 1658. Put u, -1, -0.044 in ascending order.\nAnswer: -1, -0.044, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.5, 10, -12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -6, 3, -20000?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**6\/120 + 2*r**5\/15 - 7*r**4\/24 + 4*r**3\/3 - r**2 - 12*r. What is y(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let a = 1291.3 - 1291. Sort o, a, -1.4 in increasing order.\nAnswer: -1.4, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 18 - 27 + 9 + 3*r. Let b(q) = 17*q**2. Determine o(b(a)).\nAnswer: 51*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 207 = -153. Suppose -4*y = -t - 4. Let j = y - 8. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945000?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3515107 (base 8) to base 3\nAnswer: -1210121202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 2*d + 17. Let h(f) = f - 1. Let i be h(1). Calculate the remainder when 28 is divided by n(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 14, -h = -z + 23 - 19. Find m, given that -4\/7*m + 4\/7*m**h - 1\/7*m**2 + 0 + 1\/7*m**4 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004194910625 to 5 decimal places.\nAnswer: 0.00419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*n = 276. Suppose -2*d - n = r, -3*d = 10 - 4. Is (1534\/r)\/((-8)\/(-10) + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288367.\nAnswer: 457, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 467*x**2 - x - 1. Let q be (1 + 0)\/(-2)*-4. Let f be h(q). Suppose 9*g = 4*g + f. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -332830000 to the nearest one million.\nAnswer: -333000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255950205?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/49 - 1\/(-7)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c - 5*c**2 - 2*c**2 + 6*c**2. Let j be m(3). Suppose j*l - 191 + 26 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.64874 - 309.56426. Let y = 316 + v. Let o = 0.21177 + y. What is o rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294393 is divided by 15491?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 81*n - 1600. Is q(-125) 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 21789 is divided by 69?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*c - 34*c - 1407 = 57*c for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 f when two letters picked without replacement from {m: 1, h: 4, f: 2, i: 8, r: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 5\/317, 219, 5 in ascending order.\nAnswer: 5\/317, 5, 14, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1705 + 2827. Is 34 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9)*j**(1\/14))\/(j*j**3)**(7\/2) assuming j is positive.\nAnswer: j**(-321\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(-9)\/s)\/s*s)**(-5\/11)*(s**(16\/5)\/s)\/(s\/((s**(-11\/2)*s)\/s)) assuming s is positive.\nAnswer: s**(-23\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhjf. Give prob of sequence hj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j. Suppose j = 4*h - 2*h - 6, 0 = 5*f + h - 278. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bihbihihhxibxbyiik. What is prob of picking 1 h, 1 y, and 1 x?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 39*t + 135. Calculate q(-27).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 233951897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) 0 (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -32*a + 8768 + 976. Is a a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 - 10*q**2 - 3*q - 11. Let y be v(-5). Solve -23*a + y = -19*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2126 is divided by 1047?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/174*-3 - (-39 - 132393\/(-3480)) and -73\/3916.\nAnswer: 39160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6359, -2\/7, -0.5 in descending order.\nAnswer: 6359, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1319362 - 6622074\/5. Which is greater: n or -5053?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 452 and 226.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18966892 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -0.02, 5, 17, -0.4, 2 in descending order.\nAnswer: 17, 5, 2, -0.02, -0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -890*d = 357*d + 24764 + 148569 for d.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 150, -183, 5, -1 in increasing order.\nAnswer: -183, -1, 2, 5, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 2*h**2 + 14*h + 17*h**2 + 5 - 4. Let c be p(-14). Let j(q) = 18*q**2 - 2*q + 2. Calculate the remainder when j(c) is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*v + 3841 = -77*v for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13400\/3197 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3613346 != -3613344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011 + 1000112110?\nAnswer: 1000120121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -52. Let j = 12.1 + g. Put -2, -0.7, j, 5\/3 in ascending order.\nAnswer: -2, -0.7, j, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -104 + 44. Suppose 0 = 13*q - h*q. Solve 2*r = -2*s - 7 - 7, q = 3*r + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493666 is divided by 17613?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*y**4 - 5*y**2 + 123 with respect to y.\nAnswer: -36*y**3 - 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zopskokkkkokkkoop. What is prob of picking 2 p?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**2 - 5*o + 1. Let l(x) be the second derivative of -5*x**4\/12 + 5*x**3\/6 + 7*x. Let p(t) = 5*l(t) + 4*r(t). Let w = -2 + 7. Give p(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/(13\/26).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -87, 2\/3, -15, -2\/5, -180 in descending order.\nAnswer: 2\/3, -2\/5, -4, -15, -87, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134863 is divided by 134745.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f = -3*f + 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 35. Let p be q(-7). Let j be (-119)\/p - 4\/(-16). Sort j, 4, 6 in increasing order.\nAnswer: j, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 11171, 2\/5, 0 in decreasing order.\nAnswer: 11171, 2\/5, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**3*w + 30666*p**3 - 13043*p**2*w - 37*p*w - 112*p + 5*w + 5 with respect to w.\nAnswer: p**3 - 13043*p**2 - 37*p + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2765420508 + 0.95991?\nAnswer: 2765420508.95991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -17490 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (92*p - 92*p + 10*p**2)*(-60 + 13 - 129 - 86) + p**2 - 5*p + 5*p to a*p + j + s*p**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 8*l - 20. Let j(p) = -4*p**2 + 2 + 5 + 94*p - p**3 + p**2 - 97*p + 8*p**2. What is j(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34514828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78925 - -6708627\/85. Let b(n) = 3*n**2 - 13*n + 5. Let t(g) = 2*g**2 - 7*g + 3. Let q(x) = 3*b(x) - 5*t(x). Let r be q(-4). Which is greater: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -190*k**4 + 59 wrt k?\nAnswer: -760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.028010342 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3.8. Let n = -24\/55 + 7\/11. Which is the nearest to o? (a) n (b) 3\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -65610*g + 65622*g. Solve 10 = 4*i + 2*o, -o - 8 + g = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3*h + 0 = -17, 4*l = -3*h + 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29729491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11160 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10715389 is divided by 510255?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 91424.22 times 0.2?\nAnswer: 18284.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 979463.5 centuries?\nAnswer: 97946350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4 - 5*b - b + 3. Let h be a(-1). Suppose -78 + 23 = -5*m - h*v, 5*m - 27 = 2*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: Let x(d) be the third derivative of d**8\/1440 - d**5\/60 + 2*d**2. Let g(t) be the third derivative of x(t). Let o(n) = 2*n - 4*n + 3*n + 0*n. What is g(o(a))?\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 8*c + 3. Let t be i(8). Let j(d) = -4 - d + d + t + d. Calculate j(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/8, 0, -1.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3166599607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611367?\nAnswer: 3, 203789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1175, -2226, -3155, -3962, -4647, -5210?\nAnswer: -5651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjddccdccjcjcdjc. Give prob of picking 1 d, 1 j, and 1 c.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 547 - 361. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-318)\/(-46)*-1 + (-4)\/46?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253813?\nAnswer: 7, 101, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3 + 2 - 2 - 1667*p.\nAnswer: -1667*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 4*g**3 - 6*g**3 + 3*g**2 + 40*g - 36*g.\nAnswer: -10*g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 10:19 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 3 (c) 17967 (d) -1\/7 (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 4c039?\nAnswer: 4c035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 11) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/(2\/366). Let z be (-284 - -286)*612\/(-10). Let y = z - p. Which is the nearest to -1\/2? (a) -1\/4 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10663*s + 10658*s = -4*j + 119, s - j = -24 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z. Let g(t) = -15*t - 1. Let p(x) = 6*g(x) - 13*r(x). Let k be p(6). Suppose d + k = -3. Sort 0.4, d, 2\/3.\nAnswer: d, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(7) + 4 - (sqrt(70)*-2)\/sqrt(10).\nAnswer: sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -103, -154?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1344076690 and 311.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 - -78a?\nAnswer: 7aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 365622 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.1, 58\/5 in descending order.\nAnswer: 58\/5, 0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4. Let a(d) = d + 4. Suppose 2*g = g + 6*i + 24, g + 2*i + 16 = 0. Determine g*c(l) - 5*a(l).\nAnswer: -5*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*j**4 - 6906*j**3 + 8*j**2 - 2108445*j wrt j.\nAnswer: 144*j**2 - 41436*j + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*m + 115 + 44 = 0, 207 = 4*h + m. What is the remainder when h is divided by 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23\/6 - (-35)\/((-105)\/12). Let g be (-2)\/(-9) + (-3)\/((-27)\/(-2)). Which is the third biggest value? (a) 4\/11 (b) -1\/5 (c) k (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (34761\/(-5))\/((-309)\/515).\nAnswer: 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 2.7071022?\nAnswer: -11.7071022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 721 + 716 + 19851*p**2 - 1437.\nAnswer: 19851*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1194, 6, 0, 2, -272 in decreasing order.\nAnswer: 1194, 6, 2, 0, -272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 312\/91*(16\/(-60))\/(7\/(-245))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t\/t**(-11))*t**(-3\/7) assuming t is positive.\nAnswer: t**(-73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 157940 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 5:41 AM and 5:26 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3122 + 7127 + 5481 = 279*b for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 6312, -5\/3, -18\/13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 0 - (119 + -116)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88151?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2\/57 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 9:25 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4768*f - 50 = -4764*f, -14*o - 3*f - 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 511 + -127. Suppose -9*v - z = -6*v. Let t = -86 - v. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + -1 + 3 + -1. Let t be (-2)\/8 - 74\/(-8). Let j = x + t. Calculate the highest common factor of j and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 8. Let j(l) = 3*l**3 - l**2. Let x be j(y). Let m(o) = -o**3 - 6*o**2 + 2*o + 7. Let w be m(-6). Sort w, 4, x in descending order.\nAnswer: 4, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-220)\/66)\/(180\/48*(-4)\/(-54))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-133) - (-32)\/(-57). Let t = 2.6 + -2.4. Put o, -4, 3, t in decreasing order.\nAnswer: 3, t, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114567?\nAnswer: 3, 38189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17126 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - 8*n**3 + 4*n**3)*(0 - 1 + 2)*(4 + 5*n - 4).\nAnswer: -30*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 6\/11 + 8\/11*w + 2\/11*w**2 = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23573\/30 + -3364\/15. Are 563 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -t - 2, 2*u - 331*t - 6 = -328*t. Solve -29*r - 23 - 35 = u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(76))**2 + sqrt(19) - (sqrt(38)\/sqrt(2)*1 + sqrt(19)).\nAnswer: -sqrt(19) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2. Let s(k) = 130*k + 26. Let p(c) = -3509*c - 715. Let o(l) = 2*p(l) + 55*s(l). What is o(d(b))?\nAnswer: -396*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 4*x. Let i(h) = 5*h**2 + 2*h**2 - 3*h**3 - 4*h**2 + 2*h + x*h**3. What is the units digit of i(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 20*u - 64*u)*(628 - 628 - 52*u) to the form c*u + a + o*u**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 63\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1089\/(-132))\/((-2)\/(-3) + (18 - 3178\/168)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 18. Suppose -3*f - 14 = -44. Let s be h(f). Calculate the common denominator of ((-6)\/(-45))\/(s\/(-590)) and -43\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2. Let g(i) = 2*i**2 + 322. Give l(g(f)).\nAnswer: -4*f**4 - 1288*f**2 - 103684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 10:45 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auje when four letters picked without replacement from {a: 9, u: 1, e: 5, j: 2, v: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4 - 5319*q**3 - 2344293*q**2 + 11854815*q = 0. Calculate q.\nAnswer: -889, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + 8*q. Let z be a(4). What is the closest to 0.1 in z, -0.5, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 3*o**2 - 21*o**3 + 52*o**3 - 29*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.5 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 613840 and 6780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 3908121*t.\nAnswer: 3*t*(t + 1302707)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10323 is divided by 3388.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**2 + 11*s - 6. Is p(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 554077830 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 4285*t - 68810. What is u(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 712*-19\nAnswer: -13528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -7 - 2) + -2 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.23 in -4, 97, -0.01, -7, -3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 871763.2 litres?\nAnswer: 871763200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -2*x - 14, 2*x + 0*j + j - 6 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1124, -743, -360, 25, 412, 801?\n\"Answer: r**2 + 378*r - 1503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231319723?\nAnswer: 8887, 26029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-5 - (8 + -27))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 813*g - 818*g - 138 = -j, 4*j - 402 = -5*g. Calculate the lowest common multiple of j and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 8*t + 1. Let j(z) = -z**2 + 7*z + 1. Let f(h) = 3*i(h) - 2*j(h). Let o be f(9). Calculate the highest common factor of o and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**3\/3 + j**2 - 2*j - 1. Suppose 5*y + 9 = -w, 1 + 0 = -y. What is n(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815.8 <= -0.01805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-15) + 228\/15. Let f = v + -15. Solve f = 2*b + 8, -w + b - 4*b - 11 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**2 - 92*t**2 - 6*t**2.\nAnswer: -86*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 8:56 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**6\/120 + o**5\/12 - o**4\/24 - o**3 - 3*o**2\/2 - o. Let k(m) be the first derivative of s(m). What is k(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 14) to base 6\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 6*s + 20. Let l be d(-6). Suppose 3*t - 26 = 3*y + 43, -t - 2*y = -l. Calculate the lowest common multiple of t and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4, -122, 37, -2, -5 in descending order.\nAnswer: 37, 13, 4, -2, -5, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1104500254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13 - (-2 + 6) - -1. Suppose 0 = 14*r - u*r + 8. Is 1\/(0 - r\/326) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19 - 13 - -4*(-18)\/(-2). Suppose 4*z + 83 = 3*o, 2*z - x + 11 = -o. Calculate the remainder when 135 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, 0, -1\/101920, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 12691110226256.6.\nAnswer: -12691110226252.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2000021102100 (base 3) to base 6\nAnswer: -34521443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.69545758735 + -0.04\nAnswer: 1.65545758735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 10\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*((1 + sqrt(162) - sqrt(162))*3)**2 + -2)*-6*-3.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -13. Let u(n) = v + 3*n**2 - 3*n**2 - 5*n + n**3 - 2*n**2 + 7*n**2. What are the prime factors of u(-4)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 394121 and 6344.\nAnswer: 3152968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 12*v**2 + 58*v - 38. Let r be 460\/40*(2 - 0). Is y(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**3\/3 - 1. Let b = 2 + 1. Let u(w) = w - 2*w + b*w. What is u(h(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 17 = -13*k + 5*h, 0 = 3*k + h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2934\/211 = 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 110360\/(-30) + 2 - 2\/(-3). Is (-2)\/(-24)*-3*z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**2 - c - 1. Let f be z(1). Let l(h) = -5*h - 5. Let u be l(-2). Solve -f*j - 2 = -u*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 10*v**2 - 16*v + 168. Let k be b(-9). Calculate the greatest common factor of 264 and k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 273915941619220 - -1\nAnswer: 273915941619221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -104*t. Let b be h(-3). Suppose -5*g - 4*s = -190, b = 5*g + s + 107. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**3)\/n)**(-4)*n**(-39)\/(((n**(13\/3)\/n)\/n)\/n))**(-35) assuming n is positive.\nAnswer: n**(2975\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.134 - 56.134. Let d = -51 - u. Let l = -4 - -3.5. Which is the third biggest value? (a) d (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -263 + 263. Which is the closest to 1? (a) w (b) -0.2 (c) 0.059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**(23\/5)*q\/(q*q*q**(-2\/5))*q**3 assuming q is positive.\nAnswer: q**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 8*m + 90. Is m at least -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8987\/3 + -2994. What is the closest to -0.1 in 83, -0.1, t, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/5)\/((-26)\/260)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-64) - (-3)\/(-4). Let m(u) = 27*u**3 + 7*u**2 - 2*u. Let n(b) = -13*b**3 - 3*b**2 + b. Let o(c) = 3*m(c) + 7*n(c). Does 6 divide o(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*x - 116*x + 24 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212330 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)*d)\/d**(4\/3)*(d\/(d\/d**(1\/5)))\/d**(-1\/4)*d**(-6\/5)\/(((d\/(d*d*d*d**(-2\/11)\/d))\/d)\/(d**(-3)\/d)) assuming d is positive.\nAnswer: d**(-1091\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 2 - (-1 + 2). Let i be (y\/6)\/(2\/(-36)). What is the tens digit of (3\/i)\/((-2)\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -222*q**3 - 5*q**2 - 6. Let w(s) = 444*s**3 + 11*s**2 + 13. Give 13*k(z) + 6*w(z).\nAnswer: -222*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 441077, 441091, 441105, 441119, 441133?\n\"Answer: 14*g + 441063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*-2*3\/6. Let x(m) = 3*m + 3. Let s(v) = -3*v - 4. Let d(u) = a*s(u) - 6*x(u). Give d(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 3\/((-6)\/8). Let v(k) = 88*k + 5. Let o(x) = 3*x - 1. Let q(d) = 5*o(d) - v(d). Is q(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 - 2*l**4 + 2*l**2 + 4192661*l - 4192649*l - 3*l**2 + 4 in the form n + q*l + p*l**3 + w*l**2 + a*l**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 8:44 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1743120 and 2835.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 8:25 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26575955 is divided by 97?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -86 (b) 0.334 (c) 3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 1203\nAnswer: -4812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 8:14 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66040431?\nAnswer: 3, 22013477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 + 94.9. Is -9\/5 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*u + 600*u - 297*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2\/((-7)\/((-903)\/6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23973322139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 <= -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 378594252?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**5 + 457*a**3*o - 1975*a**3 - 172778*a - 15*o wrt a?\nAnswer: 40*a**3 + 2742*a*o - 11850*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 7290?\nAnswer: -2187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Suppose -v*m = m. Suppose k - 4 = 3*k + 3*n, -5*k = -4*n - 36. Solve m*f - 4*f = -4*b + 8, k*b = f + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*p**2 - 103*p**2 - 100*p**2 - 110*p**2.\nAnswer: -277*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -6*l + 25. What is the remainder when 201 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuuukukkkuukkkynukek. Give prob of picking 2 u and 1 y.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 4)*(220*j**3 + 233*j**3 + 7*j - 3*j**4 + 2*j**2 - 455*j**3) in the form z*j**3 + x + m*j + v*j**2 + a*j**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 2*a**2 - 4*a**3 + 5*a**3)*(-7*a**2 + 58 - 58).\nAnswer: -7*a**5 - 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43426388 to the nearest integer?\nAnswer: 6590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 0*o - 1988*o**2 + 2*o + 1983*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1.8. Let y = -34 + 50. Let m be y\/(-3) - 8\/(-7 - -5). What is the third biggest value in n, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4753, 2, -1 in descending order.\nAnswer: 4753, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/8 and 33\/15398.\nAnswer: 61592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 8, -5*r + 4*b + 220 = -b. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26578 rounded to 3 dps?\nAnswer: -0.266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(30) + sqrt(120) + sqrt(30) - sqrt(30))*-3 - (-2*sqrt(60)\/sqrt(2) - sqrt(30)))\/(((sqrt(20) - sqrt(2420)*1) + sqrt(20))\/sqrt(2)).\nAnswer: 2*sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -468 + 763. Suppose k - 47 = -2*q + 23, -a = -4*k - 5*q. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 1\/2*p**2 + 15\/2*p + 63 - 1\/6*p**3. Factor s(y).\nAnswer: -(y - 5)*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1366 - -0.65?\nAnswer: 0.7866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = h + 5, 0 = h - 2*l + 5*l + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1193, 1, -0.51, -35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -171290 less than -171291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11875214.11 rounded to the nearest 1000?\nAnswer: 11875000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Let k be y(2). Suppose -2*b + b + k*q + 5 = 0, -2*q - 11 = -3*b. What is the least common multiple of b and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67159 is divided by 33577.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + 96. Let o = -41 + a. Suppose -o = -2*k + 5*q, -q + 136 = 5*k - 3*q. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38995.\nAnswer: 5, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 72986*g - 1824675. Calculate d(25).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44115 = 715*v - 700*v. List the prime factors of v.\nAnswer: 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -236, 3, -11, 4 in increasing order.\nAnswer: -236, -11, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u**2 + 82*u - 457. Let t be n(4). Are t and -23\/257 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00813227444 to four dps.\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-15))\/((-114)\/(-380))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2658370900 divided by 3?\nAnswer: -2658370900\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.4335 micrograms in grams?\nAnswer: 0.0000744335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 228 - 219. Suppose -4*w + 35 = -145. Calculate the highest common factor of k and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -983 - -988 - (0 + -5 + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 2. Let a(s) = -4 - 4*s + s - 1. Let x(t) = 4*a(t) + 11*u(t). Calculate x(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 11*g**3\/6 - g**2\/2 - 6*g. Calculate the smallest common multiple of 24 and m(1).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370777801?\nAnswer: 41, 9043361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -56162?\nAnswer: 5616.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.05, -0.49, 2\/73, 3\/8, -3\/7, 12?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2951622*i. Let g(u) = -3*u**2. What is n(g(o))?\nAnswer: -8854866*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(2 + 0 - 3)*(-990*o**2 + 35*o**3 + 990*o**2).\nAnswer: -35*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*s**3 + 2*s + 50*s**2 - 19*s**4 - 1 + 22*s**3 - 51*s**2 - 8*s**4 to the form v*s + a + o*s**3 + g*s**2 + m*s**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -154.07 and 0.059.\nAnswer: -9.09013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 543 and 37105?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -46*z**4 + 5*z**3 - 26*z. Let u(p) = 46*p**4 - 4*p**3 + p**2 + 23*p. Let g(s) = 4*a(s) + 5*u(s). What is the third derivative of g(f) wrt f?\nAnswer: 1104*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67*v + 13*v + 23*v + (2 - 2 + 1)*(-3*v - 4*v + 5*v).\nAnswer: -33*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3*(-3 + -3). Let y = -6 - -6.4. Which is the nearest to 2\/7? (a) w (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0506863819 to 4 dps.\nAnswer: -0.0507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53.46 - 0.54. Let a = q + 54.00000045. Round a to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-33)\/88)\/(6\/4). Let n = 1.07 - 1.57. Which is the second biggest value? (a) n (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from goxxwbqwxow. What is prob of sequence obw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - i + 2. Let n = 1232 + -1233. Let w(j) = -j**2 + j. Give n*g(k) + 3*w(k).\nAnswer: -2*k**2 + 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1510*b + 87537. Determine m(58).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5, 5*s - 10 = -3*p + 7. Let u(k) = 2*k**3 - 4*k**2 + 3*k + 2. Let x be u(3). Suppose -p*r + x = 1. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -778*j + 18*j**3 + 778*j + 20*j**3.\nAnswer: 38*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p - 629317 = -629548 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 - t**5 + 2*t**5 + (8372*t**2 - 16768*t**2 + 24788*t + 8394*t**2)*(3*t - 3*t + 2*t**3).\nAnswer: -5*t**5 + 49576*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.6, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j - 470*j = -49*j - 2688 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 1 = 5*t. Suppose -t*f = 6, -2*k + 5*k + 3 = -3*f. Let o be (-26)\/(-2) - (-1 + 2). Solve -o = -w - k*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 981*a**5 - 20*a + 8*a + 18*a**2 + 12*a + 32*a**2 wrt a?\nAnswer: 58860*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1769229, -3538531, -5307795, -7077003, -8846137, -10615179, -12384111, -14152915?\n\"Answer: 3*t**3 + t**2 - 1769326*t + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3857 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41160 by -5.\nAnswer: 8232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i - 6. Is (-3)\/((-81)\/(-30) + i) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10*3*(-26)\/12*2. Suppose 9*r + c = 10*r. Suppose 3*u - 5*l - 105 = r, -2*u + 5*l + 150 = 0. List the prime factors of u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -32. Let s = w + -4. Does 7 divide ((-10)\/3)\/((-1)\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u + 30. Let k = 37 - 33. What is the lowest common multiple of k and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1100 and 61\/34540.\nAnswer: 172700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17807 + -391835\/22. Suppose 0 = -4*h + 11623 - 69915. Let x = 204105\/14 + h. What is the common denominator of x and b?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20889*v**2 - 20314*v**2 - 2 + 2.\nAnswer: 575*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.71 - 3.21. What is the closest to 0 in -3, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 199\/111930 and -109\/74620.\nAnswer: 223860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7))**15\/(s**(-2\/11)*s**9\/s))**(-26) assuming s is positive.\nAnswer: s**(24232\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - r - 5. Let a be q(-3). Suppose a*c + 4*l = 4*c + 6, 2*c - 2*l - 4 = 0. Is (-4 + 660\/8)*c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -103*4\/6*(-9)\/6. Let s = 114 - u. Calculate the remainder when 41 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2533\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/4, 257, -0.2, -1, 4\/5, -4.\nAnswer: -4, -7\/4, -1, -0.2, 4\/5, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 199 - 1 = 0. Which is the closest to 0.1? (a) -2 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -16*u**2 - 301*u + 76. Let h be k(-19). Suppose b + b = o - 7, 2*o - 19 = 5*b. Sort 1, h, b in descending order.\nAnswer: h, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 91 + 71. Suppose -c = l - 2*l. Let t = -58 + l. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3115253\/95906 + 2565\/79. Find the common denominator of 143\/36 and v.\nAnswer: 21852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216 divided by -36.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -72734, -72728, -72718, -72704, -72686, -72664, -72638?\n\"Answer: 2*d**2 - 72736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1848223.2 at most as big as 9\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 4) to base 3.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 != -4129812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - i + 5*n + 151, -4*n = i - 69. Are i and 75 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/96 and -7\/20.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*u + 598 = 25, 0 = 3*u + 15. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3102)\/(-470)*(-12)\/(-33). Factor 2\/5*l**2 + 2 + j*l.\nAnswer: 2*(l + 1)*(l + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 550850185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 460.9 - 251. Round w to the nearest integer.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1270963778 to 5 dps.\nAnswer: 0.1271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 3. Let x be s(-11). Suppose 0 = -2*n + 4*t, -x*n = -6*n + 4*t. Is n bigger than 7\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2456 and 20.\nAnswer: 12280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3856 + 1926 + 1935 + a. What is n(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 7449?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 6*d**2 - d - 2. Let j be f(-6). Suppose -v + y - 7 = -2*y, -2*y - 14 = j*v. Which is the nearest to 4? (a) -0.2 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2278 and 68340.\nAnswer: 68340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/3 + 29308516*v\/3 - 107373638765282\/3 = 0. What is v?\nAnswer: 7327129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 48, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8303 + 33240. What is the remainder when i is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 2. Let y be q(8). Is 12 a factor of (-18990)\/(-40) + y\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5)*u*u\/u**(2\/3))**(7\/13)\/((u**4\/(u**(-2)*u))\/(u**5*(u**(-3)\/u*u)\/u)) assuming u is positive.\nAnswer: u**(-661\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5*m - 3*m + 22, -8 = -2*w - 2*m. Is 11 a factor of (2 + -1)*w*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -12*o + 0 - 23\/6*o**3 - 1\/8*o**4 + 0*o**2 + 1\/360*o**6 + 0*o**5. Let c(u) be the second derivative of n(u). Determine c(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - u + 15. Calculate the smallest common multiple of g(0) and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333*k**3 + 711*k**3 - 3 + 3 + 667*k**3.\nAnswer: 1045*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 20071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.082.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1574640 and 288.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114481239 and 2868.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1288.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220340 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.2 (c) -6 (d) 50.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d (base 14) in base 4?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 653*b + 2*b**3 - 641*b - b**3 - 14*b**2 + 9. Determine s(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 414107?\nAnswer: 414105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 5*p + 6. Let r be l(-6). Suppose 3*v + r*v = 51. Let b = v - -26. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h. Let t(k) = -11738654*k - 2. What is a(t(o))?\nAnswer: -46954616*o - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 210, -239, -1674, -4587, -9470, -16815?\n\"Answer: -82*l**3 - l**2 + 128*l + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -5*c + 93. Suppose 64*v - 52 = 60*v. Let r = c - v. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/5, 0.5, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 0*n = 60. Let t(r) = r**2 - 4*r - 9. Let d be t(n). Round d to the nearest integer.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/9 and 151\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -18. Let y(c) = -7*c**2 + 56*c - 25. Let n(j) = j**2 - 11*j + 5. Let m(u) = p*y(u) - 11*n(u). What is the tens digit of m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312 and 17732?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 + -191. Let v = 31 + r. Let d = v + 48.856. Round d to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/(-322))\/((-2)\/((-12)\/9)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 244957310 divided by -190?\nAnswer: -1289249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -q - m - 0*m, -5*q + 22 = -3*m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 4:30 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 35338.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 860028.4ml?\nAnswer: 860.0284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10968302217160849.26000091 + -10968302290050335. Let r = p + 72889488. Let n = -2.26 + r. Round n to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 18. Let c be x(-16). Put -8, c, 3 in decreasing order.\nAnswer: 3, c, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = -3*s - 2*k, 0 = -k - 4. Suppose -s*b - 72 = -3*b. Let q = b - -27. What is the highest common divisor of q and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(99) + (sqrt(99) - (sqrt(99) + (sqrt(99) - (sqrt(99)*-1 + sqrt(99))) + sqrt(99))) - sqrt(99))\/sqrt(9))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 333 and 99.\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13824 and 56970.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 3*i**2 - 4*i + 3. Let c be g(-4). Let x = c - -1. Suppose -x*y - 3*u = -158, -2*u + u = y - 40. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/7 + 3316*h**3 - 232334*h**2\/7 - 23176*h + 650496 = 0.\nAnswer: -11616, -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 31. Suppose 0 = s - 0 - 7. Calculate the greatest common divisor of s and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 17*l**2 + 33*l - 38. What is r(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 423562.8019 rounded to the nearest one thousand?\nAnswer: 424000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41191415 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2684\/99 + -31 + 8896\/288\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*b - 8*b + 72*b)*(5 - 30 - 11)*(5 + 1 - 4) to v*b + p and give v.\nAnswer: -6480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 92130?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(425) + -1*(sqrt(425)*-2 - sqrt(425))).\nAnswer: -100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6723516.\nAnswer: 2, 3, 560293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpanpbu. What is prob of sequence bl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18825377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/107136 and -43\/36.\nAnswer: 107136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-15))\/((-22)\/55)*3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*b - 41, 3*k = -2*k - 3*b - 253. What is the remainder when k\/(-4) - (-1)\/(-4) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -19. Suppose 0 = 5*i + f - 3989, t*i - 6*i - 5*f + 1614 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + r = 17, w + r = -0*w + 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1233 - 7*u**2 + 303 + 313 + 309 + 308.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 8?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 - o**4 + 4*o**4 + (-2 - 2*o + 2)*(3*o**3 - 3*o**3 + 16*o**3).\nAnswer: -31*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349885 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3188 - -3669. What is the remainder when r is divided by 77?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301158 is divided by 150579.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*j, -2*j = g + 4062 - 4080. Let s(w) = 8*w**2 - 1. Let t be s(1). Solve -31 = g*y - t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 3*z + 2*z**2 + 3*z**3 + 5*z - 2*z**2 as r*z**2 + s*z + x + o*z**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/((sqrt(84)\/sqrt(2))\/sqrt(7)) + -5)**2.\nAnswer: -10*sqrt(17) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 30. Let g be (m\/(-14))\/((-1)\/4). Let x = g + 9. Solve -x*j + 2*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/14337162 and -55\/19116216?\nAnswer: 57348648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -10 - (143 - 152).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 23 = 5*r + 4*q, -q = r - 4. Suppose 4*a + r - 21 = 0. Suppose -3*j = -5*l + 37, 0 = l - a*l - j + 16. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -4. Let j be (0 - -2) + 3*b. Suppose 3*r + 204 = 5*x + 6*r, 4*x - r = 170. Solve -x = 5*u - j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(6 - 4 - 0). Let h = -60 - -302\/5. Put d, h, -3 in decreasing order.\nAnswer: h, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.2. Let n = -5.2 + -5.8. Which is bigger: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210203 (base 5) in base 10?\nAnswer: -6928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, w: 2, d: 1, f: 1, k: 2}. Give prob of sequence dkk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 11.2. Suppose 0 = 2*y - 5*y. What is the closest to y in -3\/5, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 28. Let x = -5 - l. Suppose s + 0*s + 2 = 0, x*s + 69 = g. What are the prime factors of g?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33626 + -33564 - (7 - 1 - (-4 + 2 + 3))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85188 + 126516. Is o a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 8 - (-18)\/(-22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -770, 1, -1, -4, -2.\nAnswer: -770, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/3898 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -12*o + 10*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*t = -4*u + 108*t, 0 = -2*u + 3*t - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-15))\/(((-399)\/(-70))\/(-19))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3. Let c = 3 - u. Suppose c*z + 1 - 19 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -35, -0.6, -2, 0.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**2\/6 + 590*b\/3 + 36234 = 0.\nAnswer: -162, 1342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3728?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39581 is divided by 2633?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 19 = 3*q, -7 = 4*u + 2*q + 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25023 - -25243. What is the highest common divisor of 9295 and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3174, -6346, -9518?\n\"Answer: -3172*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-30))\/((-2)\/10). What is the nearest to 4 in 0.2, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -57, -111, -165?\n\"Answer: -54*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**2 + 8*t - 2. Let v be c(-3). Is v > 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-9))\/((-3)\/9). Let t be 12\/80*2\/(-3). Which is the third smallest value? (a) -0.3 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 29*h**2 + 505*h + 533.\nAnswer: -(h - 13)*(h + 1)*(h + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2679885277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 807844 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1.3821 (b) -0.1 (c) -5 (d) 2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (495\/220)\/(1\/(-12)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887938218?\nAnswer: 2, 3, 43, 211, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111.519 + -111.17. What is d rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425\/13 > 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 54755*s**2 + 7740478*s - 7795232.\nAnswer: -(s - 54896)*(s - 1)*(s + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 334139 (base 10) to base 13\nAnswer: b9120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*x + 322*x - 54 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*n = -0*a - 20, -4*a = n - 40. Let d(x) = -2*x - a + 10. Let r(y) = -3*y**2 + 0*y**2 + 2*y**2. Determine d(r(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280 divided by 12.\nAnswer: 70\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -45806320 divided by -7294\nAnswer: 6280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111001 - 11000010011100?\nAnswer: -11000101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12152215 + -14?\nAnswer: 12152201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2563686 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - -650326?\nAnswer: 650314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 133*g - 231. Let y(q) = -7*q + 12. Let p(d) = 4*u(d) + 77*y(d). Let z(f) be the second derivative of -f**3\/2 - 15*f. Calculate z(p(k)).\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -2*s - 4*x, 5*s + x + 0*x - 179 = 0. Let h = s - 39. Is 310*((-17)\/(-5) + h) + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -237, -881, -1929, -3393, -5285?\n\"Answer: -2*l**3 - 190*l**2 - 60*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 3:02 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1883051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7696\/259 + -30)\/(0 + (-2)\/14). Suppose 11 = m + 69. Sort -3, j, m in decreasing order.\nAnswer: j, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 3*m + 2*u, -1522*m + 1518*m - 4*u = -36 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*u - 2*f + f, -3*u = -2*f - 20. Find the third derivative of -7*s**2 + 0*s**3 + s**3 - 43*s**u - 4*s**2 - 37*s**2 wrt s.\nAnswer: -1032*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 72640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4*(0 - 2). Which is smaller: -2\/35 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w = 0, 2*c + 5*w - 16 = 0. Suppose c = 24*d - 20*d. Solve -x - d*x + 15 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 + 120.9886. Round b to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/43 in 12, 5, 16\/17?\nAnswer: 16\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 12446 = -58*j - 234*j + 40*j for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 53 = -2*v. Suppose -x + 2*c + 10 = 0, -2*c + 0*c = -5*x + v. Suppose -76 = -3*k - x. What is the highest common divisor of 55 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224565437 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -660 - 102*q**3 + 5*q**2 + 660 - 5*q**2.\nAnswer: -102*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 7. Let m be 19998 - (7 - 1)\/v. What is m rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 3\/70312825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**4\/6 + 2415*z**3\/2 - 5273626*z**2\/3 - 3520582*z = 0.\nAnswer: -2, 0, 2021, 5226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 - y + 4. Let l(h) = 6*h + 0*h - 7*h**2 - 3*h - 9. Suppose 0 = -6*c + 13*c - 14. Calculate c*l(x) + 5*m(x).\nAnswer: x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 130*t - 4162. Calculate w(32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/(-7)*(0 - -5). Let b = -78 + w. Let n be ((-10)\/(-8))\/((-4)\/b). Solve 0 = 5*l + n, 11 = -3*y - 4*l - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14861115 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.245, -0.3, 0.091?\nAnswer: -1.245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 - ((0 - -37) + -10).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 304169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 84767993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*p + 4822 = 3*r, -r + p + 1610 = 0. Calculate the highest common divisor of r and 292.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 287 or 289?\nAnswer: 287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69 + -1 - (33 - 28)) + (33 - (63 - 24)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -88\/9. Let c be 2\/4 - (-3)\/2. Let h be (0 - c) + (-28)\/(-12). Sort -4, h, r.\nAnswer: -4, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130.5 - -130. Let t = 0.01 + -0.003. Let b = 7.007 - t. What is the closest to 0 in b, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.025 - -0.025. Sort -4, -5, w, 0.1.\nAnswer: -5, -4, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4, -4*v - 3*r + 29 = -8*r. Solve v = -2*g + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxp when three letters picked without replacement from {x: 2, p: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(275) - sqrt(275)*-1) + 2)**2.\nAnswer: -200*sqrt(11) + 27504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -808*g**2 + 2 + 407*g**2 - 2 + 400*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 39034 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: What is the remainder when 28 is divided by (4\/(-6))\/((-6)\/135)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*v*y**2 - 288*v*y - 17*y**2 wrt y.\nAnswer: 26*v - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -129*w + 132*w - 14643. Let d = w + -1294. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n + 4. Let x be p(3). Suppose -3*s = -2*m + x, -2*m - 8 + 48 = -5*s. Let c be (-50)\/s - (-14)\/21. What is the highest common factor of c and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 19*h + 19. Let d be (2 - 5 - -7)*(-1)\/1. Let q be l(d). Let v = q + 47. Which is bigger: 0.1 or v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (254\/4)\/(6\/1080). What is d rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000110000 - 101?\nAnswer: 1101000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 571\/(-114) - (34 + (-38)\/19)\/4.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 2.28942\nAnswer: 0.0686826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5 + -6*(2 + sqrt(2)))**2 + 1).\nAnswer: 816*sqrt(2) + 1448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 4, 0 in increasing order.\nAnswer: -13, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17678, -17676, -17674, -17672, -17670, -17668?\nAnswer: -17666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 32 = -2*p - 2*d, -p = d - 9. Let g be (3 + p)\/(-2) - (1 - 9). Solve o + g = -1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -113*k**3\/6 - 6*k - 6. Let u(j) = j**2. Calculate p(u(a)).\nAnswer: -113*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 + 4299*r + 5. Let u(s) = s**2. Give t(u(w)).\nAnswer: -2*w**4 + 4299*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*r - 677 = -480 + 858 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2.959, -74\/7, 1\/2, 3, 1\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -352813042 - 171912386. Let o = y - -524725505.0000111. Let h = o - 77. Round h to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*3*8\/(-24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6871313?\nAnswer: 41, 167593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10011101110111000101011 (base 2) to base 14\nAnswer: -9891a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1211 + 339. Suppose 0 = i + 2*v - 325, 5*i - s = 5*v - 0*v. Find the second derivative of -4 + i*q - 317*q + 4 + 5*q**2 wrt q.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51596412 - 140666412. What is b rounded to the nearest one million?\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -71, -180, -383, -710, -1191, -1856?\nAnswer: -2735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8addd8 (base 16) to base 9\nAnswer: -18110805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.1 and 2177371222896.\nAnswer: 2177371222898.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.88 + 0.9. Round w to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + r - 41 = -2*r, r + 23 = -2*f. Let i be (-68)\/f + 2\/10. Solve -i*p = -2*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(n**5 + n**2 - n**2) - 3*n**5 + 2*n**3 - 2*n**3 + (n - 2 + 2)*(n**4 + 2*n**4 - 6*n**4).\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/1*2)\/(-2). Let v(y) = y**3 + y**2 + 1. Let f be v(s). Let g = f + -10. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 187\/17879 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*q + 1052 - 4548 = 0 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 + 2 = 0. Let x = -79 - -84. Let n = x - f. Solve n*i + 5*g - 8 = 0, -4*i - 3*g = -0*g - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.5 + 9.5. Put 2\/11, 1\/7, a, 0.1 in decreasing order.\nAnswer: 2\/11, 1\/7, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95 - -277.542\nAnswer: 372.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 85 - 20. Let t(j) = 24*j**2 + 109*j + 36. Let l be t(-5). Calculate the greatest common factor of x and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 3*k**2 + 3*k + 1. Let c be y(-3). Let z(v) = 2*v**2 + 9*v - 7. Let i be z(c). Let a = 81 - i. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2774 - -4146. Suppose 2*l = 2*h - 862, t = 2*h - 3*l + 506. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 13, -2 in descending order.\nAnswer: 13, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2\/9 - 7084*k\/9 + 4720\/3 = 0.\nAnswer: 2, 3540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 672192 divided by -2?\nAnswer: -336096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*b + 216. Suppose k + b = 5*g, k = 3*k - 6. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*6670.7\nAnswer: 2001.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1296 and 4208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a - 12. Let j be 2\/a - 141\/(-9). Let z be (-4)\/(-14)*(-1 + j). Solve f = z*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 0.4, -2\/3, 148 in decreasing order.\nAnswer: 148, 0.4, 1\/6, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -15, 990, 5 in descending order.\nAnswer: 990, 5, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30232 (base 5) in base 11?\nAnswer: -1506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**5\/9 - 154*u**4\/9 - 314*u**3 + 3778*u**2\/9 + 15428*u\/9 + 2992\/3 = 0. Calculate u.\nAnswer: -44, -34, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 552 and 142945736.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 11) to base 4\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 6:35 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*(-605)\/(-121)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**4\/4 - 57*w**2\/2 + 56*w + 3648. Factor l(i).\nAnswer: (i - 7)*(i - 1)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7531311081.\nAnswer: 3, 7, 997, 359713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-35))\/(-1)*2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -34. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70085 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.194 and 0.01 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11565118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 568509\/218 or 2607?\nAnswer: 568509\/218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1160*s**3 - 3*s**2 - 1393*s + 2.\nAnswer: -6960*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 22. Suppose -7 = -2*a - 21. Let w = a - q. Solve -w = 2*h + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -18. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5046*i**4 - 37*i**3 - 986*i**2 - 15*i + 2 wrt i.\nAnswer: -121104*i - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 15 = 3*m. Let j be 2\/(m + 4 - -1). Suppose f + 16 = -3*f. Sort 3, f, j in decreasing order.\nAnswer: 3, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mngnnnnmnn. Give prob of picking 1 g and 2 n.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(((-1)\/4)\/1). Suppose -4*x + 2*x = -u. Suppose 15 = 4*o - o. Calculate the highest common divisor of x and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c. Let a be ((-10)\/3)\/((-10)\/7470*3). Let g(s) = 830 - a - 36*s. Let j(k) = 198*f(k) + 6*g(k). Let z(b) = 3*b. Give j(z(x)).\nAnswer: -54*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 5*k - 8. Let m(w) = -w**2 - 5*w - 9. Let u(l) = 6*h(l) - 5*m(l). Let t be u(-5). Let j be t\/15 + 16\/5. Solve f + 2 = j*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + sqrt(1331) + -1)**2 + sqrt(1331) + 1.\nAnswer: -33*sqrt(11) + 5326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-39)\/(-7) - 124\/217. Suppose w - u*l + 0*l - 3 = 0, 0 = w - 2*l - 3. Let c(h) = w*h**2 - 426*h + 426*h. Let y(f) = -10*f. What is y(c(q))?\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 15*o + 806. Calculate the remainder when 836 is divided by m(-23).\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(0 - 1)*-1. Suppose 0 = j*o + 4*x - 12, -2*o + 4*x + 0 = 12. Suppose o*f + 12 = f. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y**2 - 3. Is 21 a factor of s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9697, -9706, -9719, -9736, -9757, -9782?\nAnswer: -9811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2903323*49\nAnswer: 142262827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -61003000 to the nearest 1000000.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2122222 is divided by 276.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94)\/658 + (-18)\/21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -2120?\nAnswer: -2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1089836 and 297228.\nAnswer: 3269508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 2}. Give prob of picking 2 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 10*x - 7. Let l be v(-6). Suppose 0 = -2*o - 5*f - l, -13 = 2*f - 3. Suppose 6 = 2*z - o. Let k(j) = -j**2 + 3*j + 6. What is k(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 463919.83.\nAnswer: -463922.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2.3881, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*q = 1861 - 2445 - 3691 for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1)\/b*b)\/b*b)\/b)**(-4\/13)\/(b*b**0\/b)**(5\/4) assuming b is positive.\nAnswer: b**(8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89\/539 - 1073\/3234. Suppose 0 = -3*n - 3*l, -2*n - 3*n = -4*l - 27. What is the closest to 1 in n, -0.5, -0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 20. Suppose 3*b + 2 = -4*j - 2*b, 3*b = 4*j - z. Suppose j*v = 9 + 115. Is 22 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8634085027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 29*f. Let l(v) = -30*v. Let y(b) = 5*j(b) + 4*l(b). What is y(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 12*n + 8. Let r be (0 + 14)*102\/119. Let j be p(r). Let f(z) = z**2 - 10*z + 8. Calculate f(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687659?\nAnswer: 7, 193, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33352 - 20479. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 627.1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 19291*v - 32. Let o(n) = 9*n. What is x(o(f))?\nAnswer: 173619*f - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638562 + 367350 = 18628*p for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132 + -128. Suppose p = -p + t. What is m in 8\/7 + 8\/7*m + 2\/7*m**p = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-2))\/((-1)\/30). Let u = -3 - b. Suppose -4*c = -3*d - 0*c + 202, -5*c = d - u. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**3\/3 + 15*r**2\/2 - 8*r. Let p be a(-6). Suppose -w = -s + 1862, -w = -2*s - p*w + 3744. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22, -29, -30, -25, -14, 3, 26?\n\"Answer: 3*l**2 - 16*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004582175 to six decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 0 - 1\/4*s**2 + 1\/4*s**3 + 1\/6*s**4 + s. Let d(m) = 0. What is m?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - (154\/(-14) - 3582)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzks when four letters picked without replacement from skszzzsnzsslksn?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*m - 53, -4*m - 1 - 12 = -g. Calculate the remainder when (-2 + 1)*g - 2 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/540*-204*(-1)\/(-3))\/((-6)\/(-18))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*g**3 - 1062*g**3 + 26*g**3.\nAnswer: -950*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, b: 5, c: 1, j: 3, t: 1}. Give prob of sequence bbc.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43060 is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146463858?\nAnswer: 2, 3, 8136881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.60561 times -0.1\nAnswer: 0.160561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -3*j - 19, -2*u + j = 9 - 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 12 = -4*i. Solve -x = -3*o + 2, -i*o = 5*x - 6*o + 21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 73*z - 67*z. Suppose 0 = z*o + 18 - 8, 5*o = 3*y - 388. Calculate the remainder when y is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639935419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 22*v - 35*v + 40*v + 91 = 0, 31 = 2*d + 5*v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*h - 4*h - 262 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = 178388*o - 178398*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**6\/24 - 15*q**5\/4 - 5*q**4\/24 + 75*q**3\/2 - q**2 + 11. Factor y(x).\nAnswer: 5*(x - 45)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1916 + -4.\nAnswer: -3.8084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -21. Let b be (-3)\/p*0 - 0. Solve b*y + 3*y + 12 = -3*r, -3*r + 6 = -3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 4:45 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2300205 divided by 89.\nAnswer: -25845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*o - 19*o - 21*o)*(-1 - 8 - 1)*(1 + 4 - 3).\nAnswer: 280*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3223*g + 1 + 2 - 1.\nAnswer: 3223*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 444 by -3.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 4. Suppose -s*r + 29 = 2*l - 17, -5*r - 5*l = -70. Let a(p) = 2*p**2 + 4*p. Let y be a(-2). Solve 4*m = -y*h + 3*h + 10, r = 5*m - h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - -422314414?\nAnswer: 422314402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4 = -2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/63 + (-340)\/(-45) + -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 642, 644, 646?\n\"Answer: 2*m + 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*-6*2\/(-8). Suppose -7 + 0 = -2*s + 3*k, -4 = -5*s + f*k. Sort 20, 0, s in descending order.\nAnswer: 20, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-10)\/25)\/(4\/5).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 44.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -36*a - 106. What is i(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1986 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17969 divided by 1057?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y - 38 = -28*y - 2*r, 70 = 5*y + 5*r. What is the remainder when y is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -284055 + -14.88\nAnswer: -284069.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95808 divided by -7984.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 127263428 to the nearest one hundred thousand.\nAnswer: 127300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/54)\/(12\/(-9))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4 + 2. Find the second derivative of -8*b - i*b**2 + 89 - 89 wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21966 and 12718314?\nAnswer: 12718314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000192112 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 1, -88, 3\/2, 1\/6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 314, 50 in decreasing order.\nAnswer: 314, 50, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 4784\nAnswer: -478.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 52416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155 - -185. What is the remainder when 58 is divided by f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 202 and 707.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*x + 72*x - 46*x + 3 + x - 3 + (x - 2*x + 3*x)*(-5 + 5 + 1).\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -4203?\nAnswer: 4176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 6*h = 26, 5*h = -2*g - 0*h + 53 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1570)\/16*(-22)\/(-55). Let q = 13 - 53. Let c = v - q. Sort c, 0.1, -2.\nAnswer: -2, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**4 + 336569*r**3 + 21*r**2 + 24369194?\nAnswer: 8*r**3 + 1009707*r**2 + 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**4*t)\/t**15 assuming t is positive.\nAnswer: t**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 - -115. Let b(j) be the third derivative of j**6\/60 + j**5\/30 - j**3\/6 - 2*j**2. Let n be b(1). Solve u = -n*l + 11 + 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4022543*d**2*u + d*u - 14502182 wrt d.\nAnswer: -8045086*u","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 25. Let s be f(6). Suppose 19 = 10*z - s. Suppose -4*g + 5*d + 2 = -8, g = -z*d - 10. Solve -q - 3*i + g*i = 1, 4*i + 14 = 5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13e (base 15) in base 11?\nAnswer: -239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-87) - (1530\/(-29))\/18. Solve y*s + 21 = 3*i, -5*s - 26 = -3*i + i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136735023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19681.5 millimeters to centimeters.\nAnswer: 1968.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 206288, 206278, 206266, 206252, 206236?\n\"Answer: -k**2 - 7*k + 206296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -83 times -50\nAnswer: 4150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 26*v**2 + 1394*v - 538. What is r(-54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -11*x**2 + 21*x - 6. What is s(5)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/v**2))\/v**19 assuming v is positive.\nAnswer: v**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 - -78.85. Let i = 4 - n. What is i rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (28\/1 - 20) + (-1185)\/(-240).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-1*(-2 - 0). Suppose 0 = 2*v - 3*h - 1, -v = -2*v + 5*h - 17. Suppose -q = -2*u + v. Solve 0 = 3*l + u - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/2, 2\/17, 2 in descending order.\nAnswer: 2, 2\/17, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 6*t + 5. Let z = 7 + -2. Let v be i(z). Suppose v*l = -3*l + 36. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005076 rounded to 5 dps?\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**5 - 5*h**5 - 2*h**5 + (4*h - 4*h - 2*h**4)*(-2*h + h + 2*h) + 4*h**5 + 2*h**5 + h**5.\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 7:53 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 6*j + 8. Let z(f) = -5*f**2 - 25*f + 33. Let p(h) = 9*x(h) - 2*z(h). Let m = 10 - 6. What is the units digit of p(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n. Suppose 4*k + 7 = -3*p, 0 = p + 2*p + 3. Let z(l) = -l - 1. Let d(a) = -3. Let o(m) = k*d(m) + 3*z(m). Calculate u(o(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 1630 + 1594 = 2*y, 0 = 7*k - y + 126 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g*g**7*g)*g)\/g**4)\/(g**(2\/11)\/(g*g**6*g)))\/((g**(1\/3)\/(g**(-2)\/g))\/(g**1\/(g*g**(3\/8)*g))) assuming g is positive.\nAnswer: g**(-1819\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232 + 7*w - 232.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6*a - 9. Suppose 5*s = -a*r + 24, -2*s - 3 = -6*r + 3*r. Suppose s*g = 17 - 5. Solve -p = 1, g*j + 2*p = -1 + 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**4 - j**3 + 2. Let i(o) = 9*o**4 - 3*o**3 + 48*o**2 + 8. Let t(c) = -i(c) + 4*z(c). Find the third derivative of t(x) wrt x.\nAnswer: -120*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32680876511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-13)\/(-2))\/(6\/(-12)). Let r be 26\/39 - m\/3. Solve 5*v - 2*v - r*i = -28, 14 = v + 3*i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 57 + 57. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k*k**(-8\/13))\/k))\/k)**(1\/10))**(-39))**(-3\/2) assuming k is positive.\nAnswer: k**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.1802*19.55\nAnswer: 23.07291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -13 (b) -6 (c) -4 (d) -5 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/6)*r*r)\/r**(1\/2)*(r*r*r**(3\/2)*r)**(10\/11))**(-1\/27) assuming r is positive.\nAnswer: r**(-212\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - x**2 + x - 32. What is d(0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - (4 + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6493217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*t**2 + 8*t**3 - 53*t**2 + t**3 - 4*t)*(57 + 65 - 37).\nAnswer: 765*t**3 - 170*t**2 - 340*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -4782.6 (c) -2 (d) -2\/519\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -87 (base 9) to base 6\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10038663 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = x - 13, -r + 6*r - x = 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654*j - 34860 = 342*j for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/6*(-3)\/(-2). What is the derivative of 3 - 7*b**4 + i - 4 - b**4 wrt b?\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 10 + 2 = 0. Suppose 5*g = -2*c + w, -2*g - 4*c = -0*c + 12. Find the third derivative of j**6 + j**g + 6*j**2 + 2*j**6 + 3*j**6 wrt j.\nAnswer: 720*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 11.5. Let l = 0.37 - -0.93. Sort l, c, 0.4 in decreasing order.\nAnswer: l, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 26. What is the remainder when 6 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7*x = 0. Suppose -f + 3*j - 15 = x, j = 4*f + 52 + 8. Let t = 30 + f. Solve -2*c = -5*i + 8 + t, -5*i = 2*c - 27 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 - k + 1. Let p(t) = 24*t**2 + 43*t**2 - 34*t**2 - 37*t**2. Calculate -3*p(w) - 2*s(w).\nAnswer: 4*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1183958159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35062044 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-10))\/(-27*40\/(-6480))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -62665\nAnswer: 2\/62665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b**2 + 1. Let a be l(1). Let m be (-3)\/((-9)\/a) - 2. Let h = 1214\/357 + -57\/17. Is m >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*z - 31401 + 32413 = z for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = 47 + 1. List the prime factors of (2\/h*3)\/(2\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791298501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krtrrrbbtrbtbrrbrrk. Give prob of picking 2 k, 1 t, and 1 b.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22110 is divided by 5895?\nAnswer: 4425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -26. Is 1*s - 0\/6 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/(3\/498). Suppose 0 = -2*k + a - 113, 2*a - 5*a - 133 = 2*k. Let d = b + k. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1050\/54*(36\/144)\/(35\/30).\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3))**27 assuming o is positive.\nAnswer: o**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*w = 2, 0 = 4*j - 7*w + 4*w + 24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 21541464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**4\/3 + 2*i**3\/3 + 1894*i**2. Let r(n) = 7*n - 5. Calculate -7*r(x) - 6*w(x).\nAnswer: -x + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1431.876 + -1423. Let f = -0.124 - i. What is the third smallest value in -2, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 17. Let w be (-13)\/39 - 105\/9. Calculate t(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296.5317ml in litres?\nAnswer: 0.2965317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -720*t**3*z**3 + 18*t*z**3 - 4*t*z - z**3 wrt t?\nAnswer: -4320*t*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 2 (b) 9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/5)\/z)\/z*z*z\/(z\/(z**(1\/3)*z)))**(-2\/11)*(z**(-1\/3)*z**(3\/10)*z*z)\/((z\/z**(-2)*z)\/(z\/z**(2\/3)*z*z)) assuming z is positive.\nAnswer: z**(7\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 4)*(-17*b - 11*b - 44*b) to the form q + w*b and give w.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 352 + 304 = 0. Solve -2 = -2*o - 5*k, 3*o + h*k - 4 = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9816000106833 and -23.\nAnswer: 9816000106810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 2*j + 58, -5*m = -2*j - j - 78. Let q(y) = y + 55 - 16 + 2*y. Does 18 divide q(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115284 + a + 115284.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -41*f + 4. Let p be w(-10). What is the units digit of (-5)\/(-2)*p\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.71 rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/9)\/((-30)\/9). Suppose -4*h + 4*x = -12, -4*h + 4*x - 5*x = 8. What is the closest to h in 2\/7, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(272) - sqrt(102)\/sqrt(6)*2) + ((sqrt(68) + 1)**2*-4 - sqrt(68))*-2.\nAnswer: 38*sqrt(17) + 553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -512254, -512256, -512258, -512260?\n\"Answer: -2*r - 512252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - 4*(sqrt(125) + 2*sqrt(125))) + 4 + -5*(sqrt(500) + -2 + (sqrt(500) + -4 - sqrt(500) - sqrt(500)) + sqrt(500) + sqrt(500))**2.\nAnswer: -10176 + 1145*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from {w: 2, s: 1, a: 1, k: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -24, 5, 16, -2, 555, -3.\nAnswer: -24, -12, -3, -2, 5, 16, 555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -4244040?\nAnswer: -4244031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(130))\/((sqrt(110) + (sqrt(110) + sqrt(110) + (sqrt(110) - 1*sqrt(110) - sqrt(110)) - sqrt(110)))\/sqrt(11)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1057 (b) 0.4 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*r - 7*r + r + (-r - 3*r + 0*r)*(-10 + 7 - 16).\nAnswer: 63*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - w. Let z be f(0). Let p = z - -2. Suppose 4*i = -5*d + 41, 0 = 5*i + d + p*d - 35. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-720)\/633) + 10\/(-15). Let l = a - -13\/120. Factor 8\/5*v**2 + 0*v - l*v**4 + 0*v**3 + 2\/5*v**5 + 0.\nAnswer: 2*v**2*(v - 2)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1702300?\nAnswer: 2, 5, 29, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -440223 (base 6) to base 9.\nAnswer: -54806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o - 9. Let i(y) = 2*y**2 + 44*y + 123. Let q be i(-19). Determine t(q).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t. Let j(n) = 9*n - 25. Let l(y) = -j(y) - 2*r(y). Does 20 divide l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*u = 98*u - 40950. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-5 - 5)) + -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 15.66 decades?\nAnswer: 1.566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eve when three letters picked without replacement from mmvbcce?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3487116 millennia to years.\nAnswer: 348.7116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -191, -238, -307, -404, -535?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1, 1074 in increasing order.\nAnswer: 1, 11, 1074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/3)\/((96\/(-128))\/(9\/(-4))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-27) + (-1422)\/(-162))\/3. Let t = -20 + 30. Solve 1 = -g*p + t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/21, -0.4, 0.4, 0, -2\/9, -1501.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 21*j**2 + 63*j + 52. Calculate the smallest common multiple of p(-16) and 252.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.7 + -8.4. Which is the third biggest value? (a) t (b) 0.03 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*c - 61 + 52. Solve -c = -2*s + 7 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 0.5. Let j = 1.5 - a. Sort j, 0, -5 in descending order.\nAnswer: j, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**2\/9 + 18683*g\/9 + 365690\/3 = 0. Calculate g.\nAnswer: -58, 18915\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*y + 3 = 5, 2*q - 5*y - 11 = 0. Let j be q\/4 - (-2)\/(-4). Let u be (-30)\/(-18)*(-12)\/570. Is u less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 178\nAnswer: -24\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:13 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**4\/3 - 4*o**3\/3 - 5*o**2\/2 - 4*o\/3 + 453. Solve u(j) = 0.\nAnswer: -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.1. Let b = j - 0.3. Let r = -675 - -676. What is the nearest to 0 in r, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 0, 5*i = -0*a - 3*a. Let k = -2\/25 + -8\/25. Let n = -13 - -12. What is the closest to n in -0.2, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -1, -4, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + (sqrt(17)*1)**2 + -4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3252.21653 rounded to the nearest ten?\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36617 - 12395. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 92 = l, -4*l + l = -12. Let y be (-6)\/(-24) - 910\/(-8). Suppose y + 121 = 5*g. What is the remainder when g is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.432 and 5?\nAnswer: -7.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/19))**(-31) assuming l is positive.\nAnswer: l**(62\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*v**3 + 101*v**3 - 41*v**3.\nAnswer: 182*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 779 - 780 = -d, -4*v + 4*d + 16 = 0. Solve -2*b + 6 + 19 = v*w, b - 20 = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 5*v**3 + 4*v**2 - 4*v - 30. Calculate d(-2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -15. Let d(x) be the second derivative of 7*x**5\/10 + 2*x**3 - 6*x**2 + x. Let h(y) = y + 12 + y**3 + 7 - 20. Determine f*h(n) + d(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198956178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*(-4)\/8.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21816?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22506 + 33988. List the prime factors of v.\nAnswer: 2, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8792001 is divided by 1758374.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8317 - 8317.8686. What is x rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -39 (c) 374\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 7*o + 2. Suppose 0 = a + 4*p + 278, p = 3*a - p + 806. Let d be -5*(a\/33 - (-4)\/22). Let v be (18\/(-10))\/((-12)\/d). Calculate f(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*(578\/(-51))\/34.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/7110510 and 7\/5925425?\nAnswer: 35552550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**5)\/(v\/v**6))**(3\/2)\/((v**(-1\/3)*v*v)**(-32)\/((v*v**(-6)*v)\/(v*(v**3*v)\/v*v))) assuming v is positive.\nAnswer: v**(142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6835979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/4 and 103\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8283 and 18869427.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.08895*-27.41\nAnswer: -2.4381195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4929 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 346824328 by -86706082.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 61. Suppose 2*v + 5*b = -2*v + 63, -3*b + a = 2*v. Suppose -2310 = 7611*u - 7653*u. What is the remainder when u is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 103*k**5\/5 + 94*k - 72. Find the first derivative of g(i) wrt i.\nAnswer: 412*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -47, -93, -135, -167, -183, -177?\n\"Answer: p**3 - 4*p**2 - 41*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69258)\/(-21728))\/(6\/(-64)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/49 or -1427?\nAnswer: -1427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 + 24572*k**3 + 75448322*k**2 - 150970368*k + 75497472.\nAnswer: 2*(k - 1)**2*(k + 6144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 2\/3*g**3 + 0 + 7*g - 1\/4*g**4 - g**2 + 1\/20*g**5. What is j(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 5*o + 35, -673*o + 670*o = 5*w - 59 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 - -0.4. Let p be (-2)\/(-3)*-6 + 994\/249. Let f = 257\/996 + p. What is the nearest to d in -0.09, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -32.046. Let v = w - 0.044. Let u = v + -0.01. Sort 1, -2, u.\nAnswer: -2, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -37569 and -37606 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1423, 2122, 2819, 3514, 4207, 4898, 5587?\nAnswer: 6274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 213 + -211. Let d be 0 + (n - 5) + 118\/38. Is 0 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -1 - (18 + -15) - -6) + 4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(605) + -3*sqrt(605)*3 + -5 - (-3*(sqrt(5) + -3) - -2*sqrt(45))).\nAnswer: -364*sqrt(5) - 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7554 and 154?\nAnswer: 581658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = 6*v - 0*v. Let l be (-3 - 237\/v)*20\/8. Which is the third biggest value? (a) l (b) -2 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.83313 to 2 dps.\nAnswer: -12.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1867*k = 5119*k + 185364 for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 110 + 1083 = 3*n, -5*s = n - 971. Calculate the remainder when s is divided by 51.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 1 - 153*z + 81*z + (-5 - 3 + 6)*(12 - 12 - 6*z).\nAnswer: -60*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1\/(f**(-3)\/f))\/(f**0*f*f*f**(3\/4)*f))\/((f\/f**(-8\/7)*f)\/f*f**(-8)*f)**(1\/2) assuming f is positive.\nAnswer: f**(103\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 0*h**2 + 0 + 1\/6*h**3 + 1\/6*h**4 - 2*h. What is the second derivative of q(j) wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68580530 is divided by 22860168?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 6*o + 2. Let k be m(-6). Suppose 0 = -y - k*y + 111. Calculate the remainder when y is divided by (-24)\/28 + 2044\/98.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25942, -25977, -26012?\nAnswer: -26047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 47*n + 128. What is the remainder when y(47) is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven halves of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 843771, -4, 28, -0.1?\nAnswer: 843771","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 179800.4173 rounded to the nearest 1000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1894 (base 12) to base 3\nAnswer: -11002211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -208*a + 260. Let l(v) = -3*v + 1. Calculate 260*l(u) - o(u).\nAnswer: -572*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - x**2 - 3*x - 4. Let r be u(3). Suppose 5*g - 128 = -3*g. Let s = g + -14. Solve -s = -r*n - 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 2*n + 22 = 0, 2*n = -u - 3*u - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4155059348?\nAnswer: 2, 11, 83, 1137749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 51*-1*(2 + -1). Let u be 4\/(-6) + j\/(-9). Let a(w) = -2*w - 2*w - 2 + u*w + 0. Let k(t) = -t + 3. Calculate 3*a(p) + 2*k(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 610*d - d**2 - 610*d - 31759.\nAnswer: -d**2 - 31759","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.249645 centuries in years?\nAnswer: 224.9645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.6333539 less than 245?\nAnswer: 257.6333539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1 - 2*o + 2 + 1 + 1. Suppose -3*a - 94 = 5*k, -2*k - 2*a = -0*a + 36. Let b = 26 + k. Determine h(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-15))\/((-4)\/10). Let z be 10 - b - (-2)\/(-1). Let v be z\/(-4)*(-4)\/(-35). Is 1 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 75*b**2 + 755*b - 66. Let x be a(-84). Suppose h - 72 = -0*h. What is the greatest common factor of h and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 + -148.3. Let x = -31 - m. Let u = -6.96 + -0.04. What is the third smallest value in x, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.4 and -11420.5.\nAnswer: -11422.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2022527 divided by -6.\nAnswer: 2022527\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1264597868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 5*n + 4. Suppose 0 = 3*w - 5*b + 10, -b + 3 = -w - 1. Let t be i(w). Suppose q + t*q = 125. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 + 164*h**3 - 1396*h**2 + 2316*h - 1080.\nAnswer: -4*(h - 30)*(h - 9)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -203, 1\/3, -5, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2. Suppose -8*t + 51 = -9*t. Let d = t + 57. Let n(w) = -d - w**2 - 4 - 2 + 0*w**2. Calculate c(n(p)).\nAnswer: -2*p**4 - 48*p**2 - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21998?\nAnswer: 2, 17, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5056937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -530 - -555. Solve -37*i + 32*i = r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5574 (b) -1 (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -7. Let b(k) = -3*k**3 - k**2 + k. Let r be b(m). Let y(f) = -f**3 + 3*f**2 + 5*f + 4. Is y(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -0.9, -63 in decreasing order.\nAnswer: 2, -0.9, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 1900.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -382433, -382441, -382453, -382469, -382489?\n\"Answer: -2*z**2 - 2*z - 382429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/7*-35*15\/150*1944\/540.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1955\/2550 - 1\/(-10)*-1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-5 + -13 + 15)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 2*y + 3. Let g be b(3). Let f be 0 - (-4)\/((-16)\/g). Suppose f*t - 28 = 2*t. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*(m**(-1)*m)\/m))**(-1\/31)\/(((m*m\/m**(1\/8)*m)\/m)\/(m*m**(-1\/5))))**(-1\/13) assuming m is positive.\nAnswer: m**(1413\/16120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6426 + -6424. Factor 2\/7*v**g - 2\/7*v**3 - 2\/7*v**4 + 0 + 2\/7*v.\nAnswer: -2*v*(v - 1)*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-9) - (-65)\/(-105))*-28. Solve n + 2 = 0, w - 4*n = -0 + q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109583.04ns to minutes.\nAnswer: 0.000001826384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 - 46. Let p(i) = -53 + y + 2*i. Let k(d) = 6*d. Give p(k(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/4 + 123861*q\/2 - 5113849107\/4.\nAnswer: -3*(q - 41287)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*n - 1 = -n, -5*n + 17 = -4*p. Let f = 9 + p. Let m = -29 + 34. Sort f, m, -3.\nAnswer: -3, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8 + (-311956)\/(-336). Let u = h + -2779\/3. Calculate the common denominator of 77\/18 and u.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 344069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5033 (b) 30 (c) 0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2, -4, 0, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 379*x + 10 - 1018*x**4 - 578*x**2 - 10 - 379*x wrt x.\nAnswer: -24432*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 179966982.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2254 + 2250. Sort s, -6, -3, 4 in decreasing order.\nAnswer: 4, -3, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 804 is divided by 107.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4093*b**2 - 29*b - 4167*b**2 + 12343*b**2 - 4085*b**2.\nAnswer: -2*b**2 - 29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/8 - (0 + 2). Let f = -4 - -8. Suppose -y + 2*y + 1 = f*x, x + 2*y + 11 = 0. Which is the nearest to -2\/9? (a) -1\/2 (b) w (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-13)*r\/(r\/(r*r\/r**(-16)*r)))\/(r**(2\/15)\/(r\/(r**(-12)\/r))) assuming r is positive.\nAnswer: r**(298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - sqrt(55)*2 - sqrt(55))*1)\/(-5*(sqrt(33)\/sqrt(3) + sqrt(11) - sqrt(11)))*-2*4 + -4.\nAnswer: -16*sqrt(5)\/5 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 694*s**2 + 3584*s + 708. What is a(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**3 + r**3 - 4*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 245 or 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.08, 3, -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 3:50 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 6. Determine v(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1342419 is divided by 447418.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from {v: 1, z: 1, u: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 1888, 4654, 8526, 13504, 19588, 26778?\nAnswer: 35074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2560 and 648?\nAnswer: 207360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 638528.3 decades in millennia?\nAnswer: 6385.283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -341*x + 286*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 149 = 5*q - 3*g, 0 = -q - 2*g + 40. Is q a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -3*p - 8. Let s be -1 + (-3 - p*-3). Suppose -15 = -s*y - 3*y. What is the third biggest value in -1\/5, 0.06, y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 + 8*k**3 - 22 + 48 + (31 - 31 + 6*k)*(-2 + 2 + 2*k**2) to t*k + u*k**3 + b + r*k**2 and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -60*o**3 - 2*o**2 - 2*o + 1. Let d(r) = -r - 6. Let f be d(-5). Let i(n) = -n**3 - n. Let m(l) = f*a(l) + 2*i(l). Is m(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 864\/378 - (-10)\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150480 and 36.\nAnswer: 150480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55779, 55134, 54053, 52530, 50559, 48134, 45249, 41898?\nAnswer: 38075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 129 = 4*s - 7*s, s + 99 = -4*j. Let a = -51\/2 - j. Suppose -2 = 5*q + 8. Which is smaller: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 6)*(-4*d - d - 2*d).\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1833910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5 - 464*w**4 - 42648*w**3 + 2592832*w**2 - 31225744*w = 0. What is w?\nAnswer: -254, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 12:47 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1165*v**2*y**3 + 24*v**2*y + 4*v*y**2 - 3*y**3 + 159324*y**2 wrt v?\nAnswer: 2330*y**3 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-3) + 0 + (-2403)\/(-12555) and 97\/14?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -10*k + 14. Let n(p) = 27*p**2 + 14. Let s(a) = 8*a**2 + 4. Let o(c) = -2*n(c) + 7*s(c). Determine d(o(y)).\nAnswer: -20*y**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttj when three letters picked without replacement from {t: 6, j: 2, c: 11}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -8 + 5 - 14*a - 11. Let q(m) = 66*m + 64*m - 197*m - 7 + 66*m. Let d(c) = -c + 8. Let l(k) = -2*d(k) - 3*q(k). Determine -6*j(u) - 17*l(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 2 (c) 218 (d) -1\/7 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (252*g - 6*g**2 - 124*g - 127*g)*(-g + 3*g + g) to m*g**2 + t*g**3 + r + c*g and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + -7. Let f = a + 12. What are the prime factors of (-6)\/(-2) - (f - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 159?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9682887 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10992050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72\/(-20)*(-24 - 16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 81585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -126917 + -6.924?\nAnswer: -126923.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**4)\/(j*j**(-10)*j))**(11\/9) assuming j is positive.\nAnswer: j**(55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 11. Let j(u) = 4*u - 6. Let f(l) = -5*l + 7. Let q(m) = d*f(m) + 7*j(m). Let k(v) = -6*v. What is k(q(p))?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 173036703 by -57678901.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.51759 + -4042\nAnswer: -4042.51759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 4*q + 0*q)*(0*q**2 - q**2 + 3*q**2) - q**3 + 2*q - 138*q**2 + 138*q**2 - 4*q**3 + 3*q**3 + 2*q**3.\nAnswer: -4*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -1. Let o = 11761\/5 + -2352. Which is the closest to 0.3? (a) o (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135086*l + 10 - 103880*l - 10.\nAnswer: -238966*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 2*j**2 - 3*j - 4. Let d(a) = -13*a**2 + a - 12. Let l(p) = 3*p**2 + 3. Let c(x) = -2*d(x) - 9*l(x). Determine -3*c(h) + 2*m(h).\nAnswer: -2*h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51952 or -160?\nAnswer: 51952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1862 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4931738.\nAnswer: 2, 7, 352267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o - 9*o + 2*o)*(17 + 598*o**2 - 274*o - 17 + 274*o).\nAnswer: -8372*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 127531290 a multiple of 2941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i + 14. Determine u(-16).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 7 - 15)*(4*f - 4*f + 2*f)*(-2 - 2 - 1)*(-4*f + 8*f + 2*f).\nAnswer: 1620*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 23\/9, -3\/5, -1\/6, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398430, 1594442, 3587784, 6378450, 9966434, 14351730, 19534332?\nAnswer: 25514234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 4:30 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*p - 2*p. Suppose 0 = 4*t - 2*c - p + 3, -5*c + 15 = 0. Find the second derivative of -6*w + w + 4*w - t*w**3 wrt w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away -1793.03?\nAnswer: 1793.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11245 - 22541. Let k = -6916 - c. What is k rounded to the nearest one hundred?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 - 9*m**2 - 7*m + 1. Let s(l) = 3*l**3 + 10*l**2 + 7*l - 1. Let k(j) = -6*i(j) - 5*s(j). Is k(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfllflmllfmllllmml. Give prob of sequence flml.\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 524603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from pxxxxlxxx.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 c when four letters picked without replacement from llclcllllllllcclcl.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-442)\/85)\/26)\/(5\/10*-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1631032*r**6 + 272027*r**2 - 3*r wrt r.\nAnswer: 195723840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296343056 and 17536.\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 45*c**2 - 55*c + 303. Let b be o(7). What is the greatest common divisor of 55 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 65. Calculate the remainder when 113 is divided by y - ((-4)\/2)\/(8\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7803*c**2 + 77*c + 62. Let t(u) = 7804*u**2 + 93*u + 65. Let p(z) = -7*s(z) + 6*t(z). Find the second derivative of p(o) wrt o.\nAnswer: -15594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*k + 144 = 0. Let d = 40 + k. What is the greatest common factor of d and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w**(2\/17)*w)\/w*w))\/w)\/(w*w**4*w))**(-43)*((w**2)**(-9\/2))**(1\/28) assuming w is positive.\nAnswer: w**(145531\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482388 + 482388 + 2*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-9)\/t)\/(t\/(t*t*t**9)))\/((t*t**(-6\/11)\/t)\/(t**(3\/8)\/t)) assuming t is positive.\nAnswer: t**(81\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**3 - 3*x**3 - 14*x**3 + 3*x**3.\nAnswer: -25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -0.01, 3\/2, -31, -34 in descending order.\nAnswer: 3\/2, 1, -0.01, -3, -31, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7171.3 and 936?\nAnswer: -6712336.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5649, -5653, -5657, -5661?\n\"Answer: -4*h - 5645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041145545 to the power of 1\/2, to the nearest integer?\nAnswer: 45179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2681 - -22314. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {p: 1, n: 2, s: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29663 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/80655 and 131\/84900?\nAnswer: 1613100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-423 - 426 - 168*a + 851)*(1 - 2 + 0) in the form j + u*a and give u.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 6*h + 2*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40077 by 1.\nAnswer: -40077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -551 > -550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72166 is divided by 3154.\nAnswer: 2778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 2*z**2 + 7*z. Let c be q(4). Let y be 3\/12 + (-11)\/c. Solve -3*x - 9 = 0, -y*s + 3*x - 11 + 5 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1026, -263, 4078, 13785, 30646?\nAnswer: 56449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 13. Suppose y + 5*x - 11 = -0*y, q*y + 5*x = 35. Suppose 0 = 5*c + m - 5, 0 = 3*c - y*c + 3*m + 3. Calculate the least common multiple of 4 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 5*f**2 - 2*f - 5. Let l be y(4). Let x be 3 + 0 + l + -2. Solve 4*v = 5*j + 10, 0 = x*v - j - 0*j - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -671692*n**3 - 283626*n?\nAnswer: -4030152*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -164 - -172. Suppose 18 = f*o - 2*o. Calculate the remainder when 1\/(1 + 60\/(-65)) is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*w + 510*w + 40 = -5*m, 3*m = 3*w + 18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**3 - 13*f**2 - 8*f + 8. Let l be y(4). Solve -7*o = l - 45 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4669 and 15631?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 16 - 13 - 2188*c + 44 to t*c + s and give t.\nAnswer: -2188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200181326, -400362647, -600543968, -800725289, -1000906610, -1201087931?\nAnswer: -1401269252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42249000 rounded to the nearest 1000000?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 1\/15*a**5 + 86*a + 0 + 0*a**3 - 2*a**2 + 0*a**4. Let w(k) = 15*k**2. Calculate w(t(g)).\nAnswer: 240*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9775197 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-280)\/(-693) + 2\/(-9). Let a = -796 - -795. Let m = -42 - -43. What is the fourth biggest value in s, m, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 183210 = -2*m - 473058, 5*j + m - 820363 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1078061 and 2443?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29842 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/13))\/y**8*y**(5\/7)*y\/y**(-5\/6)*y assuming y is positive.\nAnswer: y**(-1969\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 7*q**2 - 6*q. Let n(i) = i + 7. Let t be n(-6). Let w be ((-280)\/(-15))\/(t\/(-3)). Let p be w\/10 - 12\/30. Give o(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/5 (b) -406 (c) 3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 299*x**2 - 14*x**4 - 2 + 0 - 8*x**4 - 33*x**3 + 29*x**3 + x**4 wrt x.\nAnswer: -504*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -312 + 236. Let k = n + 132. What is the highest common divisor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 10*i**2 - 8*i + 12. Suppose 0 = 5*t + v - 30 - 16, 2*t - 21 = -3*v. What is the tens digit of a(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.3920568 rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3161 - 6.6839. What is the nearest to v in -2\/3, 0.5, -54, 1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*j - j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134 + 140. Calculate the remainder when 34 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*g - 6 = -c, 19 = c + 4*g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 144*s + 1343. Calculate l(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r**3 - 15*r**2 - 29*r + 45. Let m(k) = 15*k**3 - 30*k**2 - 54*k + 96. Let q(x) = 13*f(x) - 6*m(x). Give q(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 70*t + 74. Let q(v) = -170*v - 148. Calculate -5*l(k) - 2*q(k).\nAnswer: -10*k - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*q + 4*q. Suppose 0*d - 3*d = 0. Is 2*(-45)\/q - d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8609, 8590, 8529, 8402, 8185, 7854, 7385, 6754?\nAnswer: 5937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 70*h**2 - 24572. Calculate q(-64).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/63 and (-4445)\/420 - (-1)\/6*1?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28963456 and 19122.\nAnswer: 6374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -7. Let y = 853.17 + -853.1. Which is the second biggest value? (a) y (b) r (c) -0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -78d93 + 2?\nAnswer: -78d91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 7*p + 6. Let x be l(7). Let r(o) = 0*o**3 + 9*o + o**2 + x*o**2 + 8 + o**3 - 2*o**3. What is the tens digit of r(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1ca9a (base 13) to base 2\nAnswer: 1101110110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -54*b**3 - 4*b**2 - 803*b - 799. Give x(-1).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127040 = -51*o - 13*o. What are the prime factors of o?\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + r - 84 = 0, -2*r + 66 = -j + 101. What is the highest common divisor of j and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m - 142. Give q(-29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 44*t + 9. What is l(-7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 0.4. Let m = -17 - -15.5. Let x = m - -1.7. Which is the second biggest value? (a) o (b) 0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*sqrt(832) + 1)**2 - sqrt(832))*-3.\nAnswer: 288*sqrt(13) + 39948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36460892?\nAnswer: 2, 13, 107, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by 1222065.\nAnswer: -68\/1222065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a**2 + 5*a**2 + 0*a**2)*(561 - 4*a - 561 + (-1 + 2 - 2)*(-2*a + 2*a + a) - 4*a + 0*a + 3*a)*(-1 - 1 + 3) to q*a**3 + c + x*a + k*a**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 2*d. Solve 4*o - 30 = -d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 720376269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a = 0. Suppose 3*z - 2*z = a. Suppose 2*y + z*y + 63 = 3*g, 0 = -2*g + y + 41. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 8*q**2 - 1. Let b be i(-1). Let u(r) = r**2 - 8*r + 10. Let y be u(b). Solve 0*f = f - y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/9, 1\/3, -0.4, -6\/5, -1\/188, -1?\nAnswer: -1\/188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*i + i. Let j = i - 5. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111100111100101011 (base 2) to base 13\nAnswer: -89824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 311.393 - -1.607. Is d less than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 905058.3 nanograms in grams?\nAnswer: 0.0009050583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-1\/2)*k*k\/k**1)**(-2\/15) assuming k is positive.\nAnswer: k**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7470)\/288 + 26 + ((-99475)\/(-80))\/(-23)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44616 minus -0.1?\nAnswer: 44616.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2, -3*h - 674 = -5*f - 664. Put -8, 66, h in ascending order.\nAnswer: -8, h, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -261 + -1075?\nAnswer: -1346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/1 - (-1144220)\/(-127204))\/((-18)\/21)*-3.\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*m - 2*x = 73*m - 20, 0 = -2*m + 5*x - 21. Calculate the lowest common multiple of m and 379.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 127?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21010111 (base 3) to base 16.\nAnswer: 144d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*-4*sqrt(448))**2.\nAnswer: 573440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b + 36*b + 9*b.\nAnswer: 25*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1591175 + -148684907.\nAnswer: -147093732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 54429064241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21640.\nAnswer: 2, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111 and 4931781.\nAnswer: 182475897","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33303289*j**2 - 134162991 wrt j?\nAnswer: -66606578*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 38\/(-5)*(1 - (-18)\/(-3)). Let u = 53 - v. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -2. Let z = -4598 - -4597.5. Put q, z, 1, 1\/4 in decreasing order.\nAnswer: 1, 1\/4, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*f**2 + f - 459*f**2 + 0 - 3.\nAnswer: -374*f**2 + f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 + 4*j**3 + j**3 + (j**3 + 3*j**3 - 3*j**3 - j**2)*(4 + 2 - 5).\nAnswer: 8*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1400 (base 9) to base 7.\nAnswer: 3033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**3 + 3*s**3 + 0*s**3)*(1821 + 155 + 735).\nAnswer: -5422*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 39*i**2 + 3*i - 1. Let a be b(-1). Let h be 15*(-2)\/3*-1. What is the greatest common factor of a and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (90\/3 - -1)*1. Suppose -3*w + i = 4*x, -4*x - 7 = -w - 18. Solve -w = -v - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 258.41 - 257. Let y = a - 1.11. What is the closest to 0 in 1.6, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 4) to base 12.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q + 71. Let a be m(11). Calculate the highest common divisor of a and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4625603194 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 + 1)*2\/4. Suppose 3*n + 8 = 5*m, -2*m + 14 = n + 2. Factor -2*w + w**2 + 3*w - k + m.\nAnswer: (w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3 - -9) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 559 divided by -2.\nAnswer: -559\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*10\/(-1440))\/((-3)\/(-8)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3585149317\/1659 - 2161030. Let c = -2\/553 - i. Does 1 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -6. Let c be (-2 - (-26)\/j)\/1. Let y = c + 20. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2496622890.\nAnswer: 2, 3, 5, 17, 131, 37369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -57, -1327, -4759, -11433, -22429, -38827, -61707?\n\"Answer: -180*l**3 - l**2 - 7*l + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 68, 73, 80?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167*a**3 - 549*a + 2 wrt a?\nAnswer: 1002*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 868 a factor of 9424788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times -0.09406?\nAnswer: 1.97526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6765 * -0.3.\nAnswer: 2029.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 3*h + 1017. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -17 (b) -2 (c) 2\/1037\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.53*-2.\nAnswer: 1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 0.4 (c) 8\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 797 + -801. Which is the biggest value? (a) 57 (b) 3 (c) z (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*j = 23, -2*j + 0*j = 4*f - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 956308*-3.\nAnswer: -2868924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3432 and 3828.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**7\/30 - m**4\/4 - 7*m**2\/2 - 8. Let l(a) be the second derivative of i(a). Find the second derivative of l(j) wrt j.\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 57 + 31 = 0. Let a(z) = z**3 + 7*z**2 - 8*z. Determine a(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95291639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 108?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -223\/276165120 and 127\/75317760.\nAnswer: 828495360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9391703?\nAnswer: 9391703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and 107441073.\nAnswer: 107441082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**3 + 3*g. Let y = -1 + -2. Let l(n) = -442550*n**3 - 8 + 7 + 1 + 442554*n**3 - 4*n. Let c be (-14)\/3 + (-4)\/(-6). Give c*m(z) + y*l(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 - -7) + 1 + 4 - -2. Solve a = 4*v, -y*v + 0*a = 5*a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, z: 9}. Give prob of sequence ww.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in two sevenths of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4937*n - 2468*n + 4*n**3 + 247 - 2469*n to the form d*n**2 + i + q*n + j*n**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 13*y + 15. Let r be 2\/(1 + 1)*12. Let b be j(r). Solve b*k - 5 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12222 + -1002022?\nAnswer: -1014244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -42 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18\/1027 - -1310578\/7189. Let p = a - 182. Factor 0 - p*y**2 - 2\/7*y**3 + 0*y.\nAnswer: -2*y**2*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 372450 * 1\nAnswer: 372450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173823589.\nAnswer: 17, 337, 30341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-30))\/((-1184)\/2664)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l + 2*l**4 - 5*l**3 - l**4 - 2*l + 16 - 15 to p*l**4 + f*l**3 + z*l**2 + d + q*l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*n**3 + 33*n**3 - 15*n**3.\nAnswer: 99*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1926060 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 11653*i**2 + 3*i + 7*i + 13 + 11654*i**2. Determine k(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*n + 14, -n - n - 5*y - 19 = 0. Suppose n - 57 = -3*x. Let b(j) = -13 - x + j**2 + 31. Let f(q) = 7*q**2. What is f(b(z))?\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-5))\/((-4)\/24). Which is the closest to -0.1? (a) 2\/7 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -981 by 1.\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02456274 rounded to five dps?\nAnswer: -0.02456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41714 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*r + 36, r + 0*r = 2*v - 25. Let h(k) = -k + 5. What is the least common multiple of v and h(-5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**4\/6 + 5*k**3\/6 - 3*k**2\/2 - 3*k. Is 16 a factor of o(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226480 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**14*q**(1\/8)\/q assuming q is positive.\nAnswer: q**(105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -236663 - 4?\nAnswer: -240000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-47 + 33896\/722)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2494169, 2494162, 2494143, 2494106, 2494045?\nAnswer: 2493954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 12:14 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5 - 30*k + 34*k + 3. Let s(x) = 11*x - 6. Let q(v) = 8*f(v) - 3*s(v). Determine q(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**4\/12 - 4*v**3 - 72*v**2 - 80*v. Factor x(q).\nAnswer: -(q + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9039431*y**2 - 4519711*y**2 - 4519721*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -8. Let r(x) = 2*x - 10. Let v be r(n). Solve -v*j = -12 + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**5\/5 - k**4 + 4*k**3\/3 - 33*k. Determine t so that o(t) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 0*t - 4*t)*(-3*t + 0*t + t)*(-1 + 1 - 1).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.527 + -29.45. Which is the nearest to 4\/7? (a) 0.3 (b) 2\/9 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*l - 71, 5*m - 4*l - 22 = 2*m. Suppose -4*n = 2*y + 2 + m, 0 = -5*y + 2*n + 8. Suppose 3*h + h - 72 = y. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 10 = -n + 2*r, r + 13 = -4*n. Let k be 0 + (-2 - n) - 1. Let u(j) = 2*j**2 + 4*j - 1. Let f be u(-3). Put 1, k, f in decreasing order.\nAnswer: f, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + u)*(2*u**2 + 3*u**4 - 2*u**2) + u**5 + u**5 - u**5 + 3*u**3 - 2*u - 3*u**3 - 2*u**5.\nAnswer: 2*u**5 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 4:32 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1593916)\/340165*((-6)\/(-4) - -2)?\nAnswer: -82\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(-3)\/(-45)*5. Solve 0 = i*j - 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 1\/4*q**4 + 17*q + 0 - 7\/10*q**3 + 3\/5*q**2. Factor s(n).\nAnswer: 3*(n - 1)*(5*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/391 and -13\/493.\nAnswer: 11339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98.92 - 97. Let l = -0.08 - s. Let v = 0.3 - 0.8. Which is the third smallest value? (a) -0.2 (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1947, -2499, -3505, -4977, -6927, -9367, -12309, -15765?\nAnswer: -19747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5231472 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 5096 and 5099 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3493 is divided by 147.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2746615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 4*w**2 + 5*w - 3. Let y be h(3). Suppose y*z - 8*z = -2390. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 593 - 322. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 0*r - r)*(0*r**3 + 0*r**3 - 2*r**3) + r**4 - 3*r + 3*r.\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 74, 110, 148, 188, 230, 274?\n\"Answer: q**2 + 33*q + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.8 + 106.8. Let g = -87.0099 + x. Round g to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - 5 + 5)*(-5*s - 1464*s**2 + 1469*s**2 - 34*s) to the form n*s + z*s**2 + l + b*s**3 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2929, -5861, -8781, -11683, -14561, -17409?\n\"Answer: v**3 - 2939*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -623 - -621. Put o, 5, -11 in descending order.\nAnswer: 5, o, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16731636.\nAnswer: 2, 3, 547, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 38, 5, 6, -4, -3 in decreasing order.\nAnswer: 38, 6, 5, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10317, 19635, 27949, 35259?\n\"Answer: -502*a**2 + 10824*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -12 + 5*m**2 - m**3 - 3*m + 11*m + 6. Let c be j(6). Calculate the greatest common divisor of c and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6*(14 - -1). Let c = -3 - -3. Let r = c + q. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.0626281\nAnswer: -0.2505124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-136)\/24*-1)\/((-1)\/(-3)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128\/3 + 43. Which is the nearest to 2\/5? (a) 0.5 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-15)*(-2312)\/(-255)*(-50)\/(-8).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k - 44 = 0. Let s(m) be the second derivative of m**4\/12 - 7*m**3\/3 - 5*m**2 + 26*m. Calculate the least common multiple of k and s(15).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -14. Let u be (127\/42 + -3)*134 + g. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3 (b) 2\/15 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.1 times 18.44824?\nAnswer: 278.568424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 71, -4, 2, 13 in decreasing order.\nAnswer: 71, 13, 2, -4, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/50 in -0.6, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10*((-4)\/(-30) - 0). Let b = -2867 + 5737\/2. What is the third smallest value in w, 25, b, 1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 6:38 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (0 - (-12 + -3 + 17))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*u - 153*u - 1121 + 46*u + 53*u + 89 as c*u + d and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 11303208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 28259309.\nAnswer: 28259308.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 0 + 86*m + 0*m**4 - 1\/4*m**5 + 0*m**2 - 21\/2*m**3 + 0*m**6 - 2\/7*m**7. Find the second derivative of l(q) wrt q.\nAnswer: -240*q**3 - 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 10:08 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - q - 18. Let k(h) = 5*h**2 + 4*h + 72. Let w(r) = 2*k(r) + 9*o(r). Let m be w(0). Let v = m + 24. Let x(t) = -t**2 + 3*t + 5. Determine x(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t + 7*t - 7*t.\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -7b?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)*p)\/(p**(-2\/53)\/p) assuming p is positive.\nAnswer: p**(485\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 189566810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y**3 + y**2 - 23 + 0*y**3 - 3*y**3 + y. Let g be l(0). Let s = 14 - g. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -26921791?\nAnswer: -26921787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:25 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 3*w)*(-w + 6 - 5 - 3*w).\nAnswer: 12*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9057*m = 8901*m - 3744 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 89?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1021, 1065, 1139, 1243, 1377, 1541?\nAnswer: 1735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2867 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - p + 3)*(0 + 15 - 3) - 2*p + 2*p - p + (2 - 2 - p)*(0 + 1 + 1) + 2 - 2 - p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -300859*g + 1805157. Determine u(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -2 - -3 - (-2 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 0.8313.\nAnswer: -10.8069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*b**2*h*u + b**2*h - 41*b**2*u + 2*b*h + 6403*b*u - h wrt b.\nAnswer: -50*h*u + 2*h - 82*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125455999 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/30010 and -58\/4132377.\nAnswer: 41323770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 - 0.1. Let w = 17 + -1. Let s be 8\/w + (-15)\/22. Which is the closest to i? (a) 0.3 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*w + 12*w + 25*w)*(-1 + 2 - 3)*(2*w + 0*w - w).\nAnswer: -44*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 63823489 divided by 3359131?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*w + 4 = 58*w. Suppose 128 = w*v - 180. List the prime factors of v.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10204\/45 + 2\/(-10). Let i = q - 227. Suppose -3*c = 5*t - 8, 5*c + 39 - 44 = 0. Is t less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 - 35*p**2 + 9*p - 5. Suppose -3*x = 2*i - 5, x = 206 - 203. Let d(z) = z**3 + 18*z**2 - 4*z + 2. Calculate i*h(n) - 5*d(n).\nAnswer: n**3 - 20*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -123957*x - 86. Is c(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4370.58911 rounded to the nearest ten?\nAnswer: -4370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(208))**2 + (-2*sqrt(13)*4 - (-1*sqrt(13)*1)**2).\nAnswer: -3341 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2959\/40 - -543\/8. Calculate the common denominator of f and 65\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301 + 301. Suppose m = 5*a - 20 - 5. Solve o = -a*l + 2, -5*l = -o - o - 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74147356 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*d + 284 + 185 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 27909.3 to the nearest 100.\nAnswer: 27900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cgt when three letters picked without replacement from gcttig.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - ((sqrt(45))**2 + 0)) + -2.\nAnswer: -47 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/1*635\/15. Suppose -5*w + 2*q = -w - 914, 0 = 4*w + 3*q - h. Let c = -130 + w. Does 32 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87540584*r**2 + 41736016 wrt r?\nAnswer: 175081168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akp when three letters picked without replacement from pppkaappkak?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9ab3 (base 12) to base 9.\nAnswer: 25440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -71, -407, -965, -1745, -2747, -3971?\n\"Answer: -111*f**2 - 3*f + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -21 - 11 - -4?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 7\/4, 0.5, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxx when three letters picked without replacement from xbggbbgbbwggbggxxbxg?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/5*x**2 - 2\/5*x**3 - 54\/5*x + 16.\nAnswer: -2*(x - 1)*(x + 5)*(x + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 z, and 1 i when three letters picked without replacement from wpqnzpqnnznzpiq.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53085?\nAnswer: 3, 5, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70*q*w**4 - 11*q*w - 6*q + 2*w**2 wrt w.\nAnswer: -840*q*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -631943542, -631943543, -631943544, -631943545, -631943546?\n\"Answer: -f - 631943541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 0*h - 700. Suppose 28 = 4*u - h. What is the common denominator of (14\/(-16))\/(4\/(-72)) and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4114.388l to millilitres.\nAnswer: 4114388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 15 = 4*a. Suppose 6*j - a*j + 15 = 0. Let c(k) = k**3 + 4*k**2 - 5*k. What is c(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 214*i**2 + 1070*i + 5. Determine l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 447, 866, 1297, 1746, 2219, 2722, 3261, 3842?\n\"Answer: m**3 + 412*m + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**2 - 2*w - 4. Let y(x) = -10*x**2 - 5*x - 7. Let c(i) = -7*b(i) + 4*y(i). Let q(t) = 9*t**2 + 11*t. Determine 11*c(d) + 6*q(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250231, 500472, 750715, 1000960, 1251207, 1501456, 1751707?\nAnswer: 2001960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, e: 4, d: 3}. What is prob of sequence geee?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 1:38 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/103389 and 107\/40488.\nAnswer: 5789784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, o: 6, l: 2, x: 3, s: 6}. Give prob of picking 1 x, 1 s, and 1 b.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 25. Let u be 1 + (w - (-12)\/(-10)). Let d be (-2)\/((-1)\/(6\/(-4))). Which is the closest to 0? (a) d (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -15*v**3 - v**2 - v. Let p be 6\/4*(-8)\/12. Let c be x(p). Does 14 divide -4 + (12*c)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*p - 4*p + 5*p + (-2*p + 3*p + 0*p + 2*p - 6 + 6 + (5*p + p - p)*(3 - 3 + 1))*(-2 + 0 + 3) to the form o*p + j and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2352 and 182544.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-72))\/(1 + 3\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-4)*i)*i*(i*i*i\/i**(-28))\/i*i**35*i**(-8\/3) assuming i is positive.\nAnswer: i**(202\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -107*n**2\/2 - 6*n + 17. What are the prime factors of m(-2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5 = 0, 5*h + 1 = 5*b + 11. Let s(v) = -v**3 + 7*v**2 - 50*v + 469. Let i be s(8). Sort h, i, 13.\nAnswer: h, i, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 2, -2 in descending order.\nAnswer: 77, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 1:49 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -639337406*f**3 + 192*f + 2732900.\nAnswer: -3836024436*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from bbwbbsaans?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703318.\nAnswer: 2, 7, 11, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or 14697?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/4 - 2463*o\/4 + 33698.\nAnswer: (o - 2407)*(o - 56)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32966\/13 - -2536. Solve 16\/13*f - 10\/13*f**3 + 8\/13 + t*f**5 + 2\/13*f**2 - 2\/13*f**4 = 0 for f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*c**2 - 308*c**2 - 27*c**2 - 339*c**2 + 50*c**2.\nAnswer: -1002*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4201 - 4200.5. Sort 0.3, -0.1, y, -36 in increasing order.\nAnswer: -36, -0.1, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.16846mm in centimeters?\nAnswer: 3.716846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**3\/2 - 5*p**2\/2 - 5*p\/2 + 5\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -8, -17, -3\/784?\nAnswer: -3\/784","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/7 - 25*f\/7 + 264\/7 = 0. Calculate f.\nAnswer: -33, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01449 to 4 decimal places.\nAnswer: 0.0145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = -z + 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1658\/83851 or 1?\nAnswer: -1658\/83851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24078 from -446.6.\nAnswer: 23631.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 552\/90 + 6\/(-45). Suppose 8*f - 336 = 4*f. Let k = 100 - f. Solve 5*z + x = k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48744 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -260 divided by -10\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 6:11 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 10:50 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2755779.\nAnswer: 3, 13, 19, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2759 is divided by 34.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/6 - (-11)\/(-33). Let y(d) = 30*d**2 - 20*d**l - 2*d**3 + d**3 + 11. Is y(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6935 is divided by 2301.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0. Let a = -269 - -269. What is the closest to 1 in h, a, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2412*a - 2*a**2 - 2451*a + 4863*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49 and 4?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*z + 108624 = 0, -7*d - 4*z = -8*d + 27163. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 7, h: 1, w: 7, o: 1}. Give prob of sequence www.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445308 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435 (base 15) in base 7?\nAnswer: 15416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*d + 24 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68741951.3779 - -74850886.37732. Let w = -6108864 + s. Let q = 71 - w. Round q to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2682710 rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-4)*m*m)\/(m\/(m\/(m**1*m))*m))\/(m**0\/m**(-5)))**41 assuming m is positive.\nAnswer: m**(-410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -46, -121, -246, -421, -646?\n\"Answer: -25*d**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130 + 264*b + 256*b - 522*b to k + s*b and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:06 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -2, -4 in descending order.\nAnswer: 102, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -157\/4. Suppose -91 = -10*r - 41. Which is the fourth smallest value? (a) u (b) -4 (c) r (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -887 and 0.9714.\nAnswer: -861.6318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -227335086 divided by 5949\nAnswer: -38214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (5363\/(-186) - -8)) + (-8)\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -6*r + 8. Let w be r\/(-18) + (-4361)\/(-63). What is w rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1300) + sqrt(1300))**2 + -1.\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -15*f**2 + 3*f + 68. Let p(l) = -31*l**2 + 5*l + 135. Let j(x) = 5*a(x) - 3*p(x). Differentiate j(r) wrt r.\nAnswer: 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsv when three letters picked without replacement from ddvdsdsdddsddvvvs.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9861 and 8823.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1776*16\nAnswer: -28416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*w - 8, -4*k + 13 = 5*w - 5. Suppose -7*y + 2*y = -j - w, 4 = -2*j. Let o be 2\/(-7) - (-172)\/14. Solve y*p + 4*p = -o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 y, and 1 i when three letters picked without replacement from {n: 1, q: 2, p: 3, i: 1, y: 1, t: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*r**3 - 15*r - 2*r**2 - 194*r**3 + 78*r**3 in the form f + c*r**2 + z*r + d*r**3 and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6362 - 2882. Is c a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 - 1.05. Let l = -8\/37 + 204\/259. Let y be 30\/(-9) + (-4)\/6. Which is the closest to q? (a) 5 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**2 - 21*m - 16. Let y be c(5). Let p(x) = x**3 + 19*x**2 - 41*x + 29. Calculate the remainder when 15 is divided by p(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgfg when four letters picked without replacement from {f: 6, g: 3, k: 6}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*(-4*-1*sqrt(468) + -4 - 4*(sqrt(468)*-2 + 4))*-5)**2.\nAnswer: -10368000*sqrt(13) + 244051200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 + 0*q**2 - q**2 + q**2.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.048, 1, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-11271)\/(-2601))\/((-442)\/(-12))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -55, 12899, -3?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 1. Let j(i) = 15*i - 10. Let f = -46 - -50. Let w be j(f). Suppose -4*n = -22 - w. Let z(m) = 8*m**2 - m - 9. What is n*d(s) - 2*z(s)?\nAnswer: 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 z when three letters picked without replacement from {z: 6, g: 2, h: 10}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4316431 - 1259635. Let h = 1806796 - p. What is h rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*r + 16. Suppose 182 = r*q + 1202. Let s = q + 770. Round s to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 988247.\nAnswer: 988246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*h - 10. Let y be (h + 1 - 4) + 10. Calculate the highest common factor of 72 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100101001111000000 + 11?\nAnswer: -1100101001110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by 23570.\nAnswer: -22\/11785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 0. Suppose 3*o = 4*m - 33, c*o = -4*m + o + 53. What is the highest common factor of 18 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7861 = 5*l - 3*b - 80816, 43773 = 3*l + b. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-910)\/(-28) - (0 - -2)\/4. Differentiate -314 + 290 + 5*w**2 - n*w**2 with respect to w.\nAnswer: -54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208\/7 - 1212\/7*f + 18\/7*f**4 + 1314\/7*f**2 - 328\/7*f**3 = 0 for f.\nAnswer: 2\/9, 1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*q = -77*q + 36. Let v be (-24)\/q - (3 + (-64)\/12). Solve -g + 6*f - 6 = 4*f, -g = -v*f + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) 8\/7 (c) -1\/2 (d) -5 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 7035 = 3*p, -4*p + 9355 = 40*r - 37*r. Let y = p + -1546. What are the prime factors of y?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkmkkkkmmkmmmk. Give prob of picking 3 k.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jutjwwtjwtrturjtw. Give prob of picking 3 w and 1 t.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15035 is divided by 300.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/8, -1\/3, 4\/21, -11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2021*m + 28093 + 2222 = 0 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*m + z, -m + 1 = -10*z + 9*z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 7*x - 2*x. Let b = -6 - x. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 1, 131, -3 in increasing order.\nAnswer: -3, 1, 2, 5, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*x = -51 - 573 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 2. Let f(y) = -y - 1. Let s(r) = -3*f(r) + 4*k(r). Suppose 0 = 4*c + 4*g - 44, 0 = -4*c + c + 3*g + 21. Let v = -5 + c. Give s(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4235480 is divided by 385042.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4) + 15 + -22.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1893 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/8)\/((-3)\/8). Let z = i + 17. Find the third derivative of -2*g**z + 2*g**2 + g**5 - 3*g**2 wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/(-33) + (-222)\/(-9). Solve 0*l - 5*l - k = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -a - 3*t - 0, 2*t - 14 = -2*a. Suppose -4*z + 5*h = z, -2*h = -8. Is a at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14648 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/40 and 79\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 20 - 50 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515153 is divided by 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3261, -6526, -9791?\nAnswer: -13056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 5:53 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5184 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, y: 5, c: 1, e: 1, x: 2}. Give prob of picking 2 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-225)\/50 - (-1)\/(-2). Let i(w) = w**3 + 6*w**2 + 2*w - 4. Let n be i(s). Suppose -n*o + 8525 = 1804. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -662918767*n + 342358599 wrt n?\nAnswer: -662918767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 195094649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106*r**5 + 14*r**3 - 18*r**2 + 9*r - 4 wrt r.\nAnswer: 6360*r**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 195*w**3 - 364*w**2?\nAnswer: 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*g + 160, 3*g - m - 97 - 42 = 0. Let r be -2*21\/9*g\/(-6). Calculate the highest common factor of r and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**4\/3 - x**3\/3 - x**2 - 13826*x. Let l(m) = m**3 + m**2 - 2. Let g be l(0). Calculate o(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c**4\/11 - 510*c**3\/11 + 63168*c**2\/11 - 46968*c - 580320\/11 = 0. Calculate c.\nAnswer: -156, -1, 10, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/29)\/f**1 assuming f is positive.\nAnswer: f**(-31\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -0.6. Let k = -0.5 + u. Let m = -0.2 - k. What is the second biggest value in -0.1, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*(sqrt(66)*-1 + sqrt(66) + sqrt(66))*5)\/((sqrt(72)\/sqrt(12))\/(sqrt(36)\/sqrt(36))).\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/20 + (0 - (-11)\/2). Suppose -2*z - 22 = -4*z - 2*t, 4*z - 32 = -t. List the prime factors of 1*131 + 0*(z - m).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + 4 + -3 + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110020 - -11?\nAnswer: -110003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3326*f**2 - 914676*f - 7151. What is s(-275)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -308 - -218. Let c be (36\/15)\/(1 - (-63)\/r). Solve -a - 3*a = -c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 + -81. Which is the third smallest value? (a) -2\/7 (b) r (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-10) - (-94)\/(-94))*(6 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70 - 2) + 9 + 14 + 37 + -49?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/1)\/((-12)\/(-8)). Let q = -13 - v. Solve 4*w + 32 = q*c, 2*w - 5 = -5*c - w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*i = -2*a + 2, 0 = -4*i + a + 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 44*k**4 + 17*k**3 + 17*k + 38. Let h(l) = 15*l**4 + 6*l**3 + 6*l + 13. Let b(z) = -6*f(z) + 17*h(z). What is the first derivative of b(a) wrt a?\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**8\/168 - 3*g**4\/8 + 2*g**2 - 8. Let o(c) be the second derivative of x(c). Find the second derivative of o(d) wrt d.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -63*n**3 - 4*n**2 - 29*n - 49. Determine z(-2).\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**5 + 0*o**3 + 0*o**3 + (2 - o**2 - 2 + (1 - o**2 - 1)*(3 + 1 - 3) + 290 - 557 - 54*o + o**2 + 266)*(2*o**3 - 4*o**3 + 3*o**3).\nAnswer: o**5 - 54*o**4 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1320, -1314, -1324, -1356, -1416, -1510, -1644?\n\"Answer: -m**3 - 2*m**2 + 19*m - 1336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16995?\nAnswer: 3, 5, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 6:28 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lujpjvlvnjpjln. Give prob of picking 2 v.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.021 to one decimal place.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11226939 and 31864.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 - 3*b**2 + 3*b**2)*(0*b - b - b + (0 + 1 + 1)*(-4*b - b + 4*b) + (-1 + 2*b + 1)*(-2 - 5 + 2)).\nAnswer: 28*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 2. Let b be w(0). Suppose -v - 33 = -b*d, -d = -5*v + 2*v - 4. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 3. Let r be (0 - (-6)\/(-21)) + (-2)\/(-7). Suppose -k = 4*k + 5, -y + 4*k + 15 = r. Let w(u) = -5*u**2 + 15. What is y*j(i) + 2*w(i)?\nAnswer: i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v + 8. Let u(p) = 8*p**2 - 2*p + 1. Let w be u(1). Calculate the least common multiple of 18 and d(w).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u. Let n(k) = -79*k - 1316*k + 13 - 231*k - 13. Give q(n(c)).\nAnswer: -1626*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 3:39 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 70\/6 + 1\/3. Suppose w + 3*w = h. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19375342 + -42765342. Round q to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 12. Let y = -10 - n. Let s = 11 + y. Solve -5*b - s = 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -88712 - -2?\nAnswer: -88710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 834, 959, 1174, 1485, 1898, 2419?\nAnswer: 3054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27596 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5543.29 - 5630. Let h = -0.71 - j. Let s = h + -85.06. What is s rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rziz when four letters picked without replacement from kklzklkikrkkkzlzl.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -165*k**3 + 165*k**3 + 2*k**4 - 17*k + (3*k**2 - 4*k**2 + 0*k**2)*(-5*k**2 - 4*k**2 + 4*k**2).\nAnswer: 7*k**4 - 17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 + 2*j**2 - 3*j + 2. Let p = -326 - -392. Suppose -22*u = -0*u + p. Let v(i) = 2*i**3 + 2*i**2 - 4*i + 2. What is u*v(m) + 4*f(m)?\nAnswer: 2*m**3 + 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46240171\/9191780 + -130\/35353. Let i = f - -11\/26. Find the common denominator of (-699)\/36 - (-2)\/3 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 10*m**2 - m - 9. Suppose -3*f + 50 = 2*f. Let g be k(f). Let v = g + 134. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31506 + -31506. Sort -3, j, -1, -47, 3.\nAnswer: -47, -3, -1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 11*o + 5. Let d be c(-9). Let i = 156 - d. What are the prime factors of i?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/((q*q\/q**(-5))\/q)*q*q*q)*q\/q**(-3))**(5\/3)*(q\/((q**(-1)*q)\/q))\/(q**(1\/2)*q)*q**6\/q**(-1\/12) assuming q is positive.\nAnswer: q**(199\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 8*r - 3. Let k be n(5). Suppose p = h - 17, 53*h + 8 = 52*h - 4*p. Let x be 4\/k*h\/8. What is the biggest value in x, -0.1, 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -88*d**2 + 1. Let a(z) = 5*z**2. Give a(s(v)).\nAnswer: 38720*v**4 - 880*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 928870671 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23202 and 54.\nAnswer: 69606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256240719 to the power of 1\/3, to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/12 + 3*4\/(-48)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6744 is divided by 6651.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -231040*k**2 + 16720*k - 605\/2 = 0.\nAnswer: 11\/304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -2. Suppose 0*y - 45 = -d*y. Let q = y + 1. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 2*n**2. Let r be w(0). Which is smaller: 3\/154 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/72*(-4)\/5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 319421*d**2 + 8*d + 120029 wrt d.\nAnswer: 638842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = 6. Suppose 5*p - 89 + 24 = -b, -45 = -a*p - 5*b. Let u(k) = -30*k + p*k - 2*k**2 + 16*k. Let j(m) = 8*m**2. Give u(j(y)).\nAnswer: -128*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000893599 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*f**6*o - 5354*f**3*o**2 - f**2*o**2 + 196*f - 102*o**2 wrt f.\nAnswer: -1320*f**3*o - 32124*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l - 2*d + 48, -3*l + 14*d - 2*d - 24 = 17*d for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -46, -86, -146, -232, -350, -506?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, 71, -9\/16, -0.1, -3.\nAnswer: -3, -2, -9\/16, -0.1, 7, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66.1 + -6.18.\nAnswer: 59.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 17. Let n(t) be the first derivative of 0*t**4 - 4\/3*t**p + 3 + 5\/6*t**6 + 0*t + 0*t**5 + 0*t**2. What is the third derivative of n(y) wrt y?\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 6 - -22) + 5 + -14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*((sqrt(475) - (-5*(sqrt(475) + -3) - sqrt(475))) + sqrt(475) - sqrt(475)*4*-2))**2.\nAnswer: -48000*sqrt(19) + 2436500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**7\/6 - 13*i**6\/10 - i**5\/20 + 131*i**4\/12 - 23*i**3 + 20*i**2 + 68*i + 45. Determine a so that z(a) = 0.\nAnswer: -2, 4\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 9*c**2 + 5*c + 109. What is a(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1683883 - 2?\nAnswer: 1683881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*t + 54 = -8, t = -5*a - 155. Round a to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 75079450 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + h - 14 = 4, -q - 7 = -4*h. Suppose -2*y + q = 1. What is the remainder when 50 is divided by 6\/(-4)*y + 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168922.95 months in decades?\nAnswer: 1407.69125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10698 + 10731. Calculate the remainder when 538 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 20*o**3 - 16 + 3*o - 2*o**3.\nAnswer: 18*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0673 + 6.0673. What is the smallest value in 1, -0.3, 0.5, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26422 (base 8) to base 16\nAnswer: -2d12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 2457040.\nAnswer: -54054880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -3 - (5 + -7 + -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + 2*f**3 + 3 + f - 1 - f to k*f**2 + t + l*f**3 + y*f and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*j - 5*p - 52, -3*p + 9 = 3*j. Let d be (8 - j)\/3 - -3. Solve -16 = -5*b - 4*o, 0*b + d*b - 8 = -4*o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 35, -23, 63 in increasing order.\nAnswer: -23, 0.3, 35, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 457*t**5 - 224*t**2 - 40*t**2 + 459*t**5 - 264*t**5 wrt t.\nAnswer: 39120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 + 18*a + 2 to j + d*a and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -656492986*c**2 - 35867*c - 3?\nAnswer: -1312985972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (780\/(-55510)*122)\/(((-9)\/(-14))\/(-1))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**3 + 5*l**2 - 3*l - 1. Let r(n) = 5*n**3 - 6*n**2 + 4*n + 2. Determine 4*p(m) + 3*r(m).\nAnswer: -m**3 + 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1011230208 and 2048?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1176*c - 288. What is the thousands digit of u(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1194 * -10861\nAnswer: 12968034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.7 + 7.7. What is the second smallest value in j, 3\/4, 54?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 15*g - 2. What is p(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3\/2 (c) -0.1 (d) 2\/839 (e) -7 (f) -0.3 (g) -17.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 86*i + 1335. Determine h(-18).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*o**2*s + 437316508*o**2 - 22*o*s - 11622*s wrt s?\nAnswer: -4*o**2 - 22*o - 11622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/8*-6 - -1. Let l be ((675\/(-70))\/9)\/((-3)\/b). Solve -4\/7 + 2\/7*r - 6\/7*r**4 - 2\/7*r**3 + l*r**2 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-9)*3 + -44. Let d = z + 49. Solve 0 = -t + d*r + 15, -t + 2*r + 11 = -0*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**9)\/(v\/v**(-1\/9))*((v*v**2*v)\/v*v)**(-15) assuming v is positive.\nAnswer: v**(-622\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 13*i**2 + 2*i + 1. Let p be q(-1). Let u = p - 21. Let g = u - -15. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 2702?\nAnswer: 2707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpp when three letters picked without replacement from {w: 10, p: 10}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + 2 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/6*(-3)\/7. Suppose -1 = -2*c + r + 2*r, 0 = -c + r + 2. Let d = -92.8 - -93. What is the third smallest value in c, h, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33684, -67379, -101084, -134805, -168548, -202319, -236124?\n\"Answer: -z**3 + z**2 - 33691*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - f + 2*f)*(-43*f**2 - 470*f + 470*f) + f**3 + 3*f**3 - 2*f**3.\nAnswer: 88*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + ((-9)\/2 - -2))*18. Determine p so that -7*p**3 - 5*p**3 + h*p**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -45. Let d(a) = 5*a**2 + 7*a + 18. Let y(x) = -x**2. Let k(q) = d(q) + 6*y(q). Let l be k(b). Solve l = t - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1772 divided by -2\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 13032?\nAnswer: -13021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, w: 4, r: 1, s: 2, h: 1}. What is prob of sequence wsh?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 5*s - 87. Let h(v) = v**2 - v + 1. Give -4*h(k) + r(k).\nAnswer: -3*k**2 - k - 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 229, 457, 685?\n\"Answer: 228*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2257 - 750 - 757 - 750 + 9*i**3.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 11:01 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -206*y + 13. Let i(s) = 137*s - 9. Determine 7*i(p) + 5*m(p).\nAnswer: -71*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7260)*2*6 + sqrt(7260) + 3*(sqrt(7260) - 2*sqrt(7260)))\/((sqrt(132) - (sqrt(132) - (sqrt(132) + 5*sqrt(132)*-6 + sqrt(132))))\/sqrt(11)*3).\nAnswer: -55*sqrt(5)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0136053 - 0.0135. What is t rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2171*v - 14700. Determine j(7).\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967512.\nAnswer: 2, 3, 7, 13, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156 divided by -39.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*n + 2*q, -440*n + 439*n + 4 = -4*q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 2212?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 79, 185, 345, 565, 851, 1209, 1645?\nAnswer: 2165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {o: 4, j: 8, h: 1}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 + -11210211021?\nAnswer: -11210210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 14*h**5\/5 + 29*h**4\/2 - 134*h**3\/7 + 45*h**2\/7 - 2241. Factor l(g).\nAnswer: 2*g*(g + 5)*(7*g - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 20 + 4. Let w = 12 - k. Solve w*f = -5*u + 16, 4*u - 5*f - 12 - 9 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 141, 94, 43, -12, -71, -134, -201?\n\"Answer: -2*i**2 - 41*i + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d - 12. Let u be x(5). Let z(i) = -3*i**3 - 34*i**2 - 14*i - 26. Let b be z(-11). Sort -2, 2, u, b in increasing order.\nAnswer: -2, 2, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z + 86*z - 67*z + 1.\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + sqrt(21) + -5*sqrt(189))\/(sqrt(112)*2 - sqrt(112) - sqrt(112) - sqrt(7)) + (sqrt(3456)*3)\/((sqrt(96)*3)\/sqrt(12)).\nAnswer: 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42.2 + 42. What is the biggest value in -0.3, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*i. Suppose i = -j + 5*a + 1, -3*j + 5*j - a = 29. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*(-1*sqrt(7) + -2 - sqrt(7)) + (sqrt(77) - (sqrt(77) + sqrt(77) + sqrt(77) + -2*sqrt(77)*1 + sqrt(77) + sqrt(77) + sqrt(77)))\/sqrt(11))**2*2.\nAnswer: 40*sqrt(7) + 354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 - -27?\nAnswer: 25.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -14.94. Let i = s - -0.16. What is the closest to i in -0.1, -1\/8, -4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + sqrt(572)\/sqrt(1331))\/(sqrt(196)*-6).\nAnswer: -2*sqrt(13)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70\/3 + -913\/39. What is the nearest to p in -3, 4\/3, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -211, -3, 0 in ascending order.\nAnswer: -211, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6090?\nAnswer: 2, 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 6 + 2 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -26\/9*q**3 - 2\/9*q**5 + 0 + 4*q - 2\/3*q**2 + 14\/9*q**4 = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22479.\nAnswer: 3, 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1247 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4*2*(-2 - 28). What is the highest common divisor of 30 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -35, -105, -231, -425, -699, -1065, -1535?\nAnswer: -2121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24249?\nAnswer: 3, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - p**2 - 2*p - 1. Let v be l(-1). Let f = v + 3. Let w(y) = y. Let s be w(5). Solve -2*b - 6 = -0*b - f*d, b + 2*d = s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2316601 + 11130?\nAnswer: -2305441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -405 - -1225\/3. Which is bigger: 0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffm when three letters picked without replacement from ffffmfmffffmff.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 1. Suppose 2*w - k + 5 = s, 3*w - 1 = -2*k. Solve l**4 + 4*l**4 + 15*l**2 - 5*l - 13*l**w + 0*l**4 - 2*l**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -36 + 13 + -30.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -490052591, -490052593, -490052595, -490052597, -490052599, -490052601?\n\"Answer: -2*y - 490052589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4830.382 grams to tonnes.\nAnswer: 0.004830382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14674447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let c be (-2)\/(-28)*-2 - (-396)\/77. Suppose c*x + 3*z - 15 = i, -2*z + 15 = z. Solve x*m = 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 - 109. Suppose 4 = 4*f - i*f. Suppose -f*z - 1476 = -10*z. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114\/104 + (-22)\/(-143).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 77\/33 + (-2 - (-24)\/9). Sort 1, -3, p in ascending order.\nAnswer: -3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5}. What is prob of picking 2 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1300183 is divided by 97?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -7.802?\nAnswer: 3.1208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 4*u**2 + u. Let r(j) = j**2 + 2*j. Let b(w) = -h(w) + 2*r(w). Give b(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 94*h - 2242. Determine b(-43).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)\/(sqrt(81)\/(sqrt(18)\/sqrt(2))))**2 + -5)*-3.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 4*y + y + (1 + 1 - 3)*(2*y + 2*y + 0*y))*(2*y - 3*y - 2*y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -203\/260 + 2\/65. Let g = -70.5 - -89. Let w = 18 - g. Sort -3, w, o.\nAnswer: -3, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -22*c + 31. Let k(t) = -21*t + 31. Suppose -2*m = -3*y - 5*m, 5*y = 3*m + 32. Let l(a) = y*j(a) - 5*k(a). Find the first derivative of l(w) wrt w.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*z = -41*z - 1326 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8326 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 59 (b) 33 (c) 2 (d) -8\/7 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-7) + 5*7. Calculate the highest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 123*g**2 + 1066170*g + 52008.\nAnswer: 3*(g + 8668)*(41*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 2:08 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 + 23 = -17*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/y**(1\/3)*y)\/y)*(y*y\/(y\/((y*y**(-3))\/y)*y))\/y)\/((y\/(y*y**2*y))\/((y\/(y*y**(1\/3)))\/y)))\/(y**(-2\/3)\/(y*y\/(y\/y**(-2))))**21 assuming y is positive.\nAnswer: y**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 746790240 and 15558130.\nAnswer: 746790240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/4*91\/((-19110)\/(-120)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75075.\nAnswer: 3, 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-18))\/((-49)\/63))\/1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 120, 117, 104, 75, 24, -55?\n\"Answer: -z**3 + z**2 + z + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/4 (b) 0.2 (c) -1\/2 (d) -5\/18 (e) 0.07 (f) 107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5720 - -16?\nAnswer: -5702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54516727?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 2*z**2 + 5*z**2 - 4*z**2 - 5*z**3. Let s be k(-2). Let w = s + -25. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/(-380))\/((162\/(-645))\/(-9))?\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/11 - 4*b**3\/11 - 6*b**2\/11 + 8*b\/11 + 8\/11.\nAnswer: 2*(b - 2)**2*(b + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)*1)\/sqrt(7) + sqrt(5) + (sqrt(30)*-2 - sqrt(30))\/sqrt(6) - (-1 + ((sqrt(45)*1)\/sqrt(9) + sqrt(45)\/(sqrt(18)\/sqrt(2)))**2).\nAnswer: -19 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2849.032 litres to millilitres.\nAnswer: 2849032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 0*m**3 - 17\/5*m**5 - 131*m + 0*m**2 + 1\/4*m**4 - 32. What is the first derivative of t(s) wrt s?\nAnswer: -68*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*b - 9702 = -65*b. What is b rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9357 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: What is -1695 divided by -5?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 - 120606212*h\/9 - 1818232296623618\/9.\nAnswer: -2*(h + 30151553)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 2:30 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 7*n**2 + 3*n + 4. Suppose i = -4 - 2. What is the lowest common multiple of 12 and j(i)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**3 - 4*k**2 + 9. Let j(a) = -a**3 - 2*a**2 + 4. What is 3*h(s) - 7*j(s)?\nAnswer: -2*s**3 + 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 140 = -4. Let d be 12\/o + (-132)\/(-240). Suppose -2*f = -6*f. Which is the nearest to f? (a) d (b) 6 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 75.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-17))\/z**(-6)*(z**(-3\/8))**21 assuming z is positive.\nAnswer: z**(-143\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 4*o - 247. Let f be r(-14). Solve 6*w - 5*w = h + f, -h = 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times 21.5?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/(117\/36) + 1363\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.14 + 0.76. Let y = l - 1.9. Put 0.5, 0.2, y in descending order.\nAnswer: 0.5, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 18*r - 4. Let x(g) = -g + 1. Calculate c(p) + 4*x(p).\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1155652 times -0.01\nAnswer: 11556.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**2 + 69*n + 1\/6*n**3 - 1\/20*n**5 - 1\/12*n**4 + 0. What is f(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175 divided by 34622\nAnswer: -25\/4946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*j = 6*l - 224, 3*l = -2*j + 331. What is the highest common factor of l and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*q + 1. What is the nearest to -0.1 in 5, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*i**5 + 3324*i**4 - 185464*i**3 + 3545960*i**2 - 4029300*i + 665500 = 0. Calculate i.\nAnswer: 1\/5, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*k - 9. Factor -f - 1 + 3 + 3*f**2 - 3*f**k - f**2.\nAnswer: -(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and -17.0688.\nAnswer: 580.3392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 23*p**7\/840 - 13*p**4\/24 + 23*p**3\/3 + 21. Let o(w) be the third derivative of n(w). Differentiate o(v) with respect to v.\nAnswer: 69*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/150 + (-106)\/120?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 937 times 0.1\nAnswer: 93.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58454 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109663822?\nAnswer: 2, 4817, 11383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61555127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 82623 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 1, a: 1, x: 2, j: 1, v: 1}. Give prob of picking 1 a and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -27*m**2 - 9*m. Let y(b) = -2*b - 5*b - 14*b**2 + 3*b + b**2. Calculate 4*h(g) - 9*y(g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 6:40 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*w - 2. Let r(q) = -233 - 2*q + 2*q + 231 - q. Calculate r(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 17, w: 1}. Give prob of sequence jjw.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i**2 - 4*i + 3. Let j be s(1). Suppose 62 = k - 4*r, -j*r - 60 = k - 2*k. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/3260 and 139\/2009790.\nAnswer: 4019580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 - u**2 + 4*u**2 - 2*u**2 + u**2 + 0*u**2 + (0 + 3 - 1)*(u**2 + 0*u**2 - 2*u**2) - 9 + 9 + 9*u**2 + (1 + 3*u - 1)*(2 - 2 + 2*u).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 0*w**2 - w**2)*(-6 + 5 + 7)*(6*w**3 - 4*w + 4*w).\nAnswer: -72*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -10, 0*f + 5*p + 62 = 3*f. Suppose 0 = -3*t + 5*u - 11, -2*u + f = -4*t + 33. Solve 4*j + q - 5 = 0, t*j - 6*j + q = 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**3 + 6*s. Suppose 0 = 16*o - 26*o + 110. Let b(g) = g + 1. Let d be b(2). Let u(m) = -2*m**3 - 7*m**3 - 11*m - 4*m**d. Determine o*i(t) + 6*u(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 222 = 5*m - 3*m, 4*m = l - 30. Calculate the smallest common multiple of 22 and l.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18743 + -18742.809. Which is the nearest to -1\/4? (a) d (b) 0.7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*63\/(-24)*-2. Let n = -2 - 1. Let j = n - k. What is the smallest common multiple of 8 and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, t: 8, z: 5, y: 2}. What is prob of sequence yvy?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -617, -1342, -2071, -2804, -3541, -4282?\n\"Answer: -2*k**2 - 719*k + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.1368 rounded to one decimal place?\nAnswer: 131.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1563, 1553, 1543?\n\"Answer: -10*g + 1573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250261 and 11649.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 30, 38881 in ascending order.\nAnswer: 3, 30, 38881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 16 + 14 - 39 - 170*l**2 to o*l**2 + w + d*l and give o.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 123*u**3 - 141666*u**2 - 283701*u - 141912.\nAnswer: 3*(u + 1)**2*(41*u - 47304)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 1, h: 1, n: 1, p: 1, y: 2}. Give prob of picking 2 g and 1 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*v, 7 + 10 = -5*u + 2*v. Let a(s) = s**2 - 2*s - 3. Let y be a(u). Suppose -h + 22 + 20 = 0. Solve 5*m + y = 3*g + h, g = 2*m - 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4368 and 23478?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*i - 55, -i + 11 = -3*r + 34. Let c = -6 + 16. Is (c\/i - -1)*-4604 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.1305013.\nAnswer: -0.02610026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 249\/99 + (-26)\/260*(-310)\/(-93)?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**3 + 30*r**2 + 108*r + 80 = 0.\nAnswer: -10, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*a = -121*a - 2014 + 33739 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8107?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*o**2 + 3*o - 12*o**2 - 4*o + 2*o.\nAnswer: o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -149119, -149115, -149111, -149107, -149103, -149099?\n\"Answer: 4*i - 149123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.017 to 1 dp.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145784*p + 263145*p + 289217*p.\nAnswer: 406578*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2727670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/4 of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.177 rounded to 1 dp?\nAnswer: 73.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + 12 - ((-6 - -1) + 6).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/71 and 11\/16.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33 + 33 + 58*i**5 + 14*i**5 + 8 - 8 - 3*i**5 - 2 + 9*i**4 - 9*i**4 + (-i + i + 2*i**4)*(3*i - 6*i + 2*i).\nAnswer: 67*i**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(65)\/(sqrt(5) + sqrt(5)*1 - sqrt(5)) - (sqrt(52)\/sqrt(4)*-3 - (sqrt(13) + 5 + 0 + sqrt(13)))**2.\nAnswer: -346 - 49*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.5, -9\/5, -5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2acbcc (base 13) in base 8?\nAnswer: -4017513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-1\/43)*o))**(7\/11))**(-3\/7))**(2\/23) assuming o is positive.\nAnswer: o**(252\/10879)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03855 to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t**0)\/t))**(4\/27)\/(t**(-4)*t*t**(1\/6)) assuming t is positive.\nAnswer: t**(161\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1475 - ((15\/3)\/5)\/1. Let r = k + -463. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -826.5102 + 819.35. Let f = -7.1651967 - p. Let t = f - -0.005. What is t rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -40, 38, 1, -28, -5 in increasing order.\nAnswer: -40, -28, -5, -2, 1, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/28)\/(((-27)\/(-378))\/(1\/(-4)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6.4, 1.6, -5, -4\/5, -2\/9, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.124 times -6108622\nAnswer: -757469.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -y + 4*q, 50 = 2*y + 2*q - 26. Suppose v + y = -v - 5*d, 2*v + 3 = d. Let r be (v\/4 + 13)*1. Solve -4*z + r = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001221112 - -11?\nAnswer: -2001221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 240? (a) 4 (b) -117207 (c) -1\/4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = 11*g - 299. Suppose -g*b = 3*b - 6193. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 355 - 355 = 0. Let f(n) = n**3 - 5*n**2 + 5*n - 2. Let a be f(4). Put 4, w, a in descending order.\nAnswer: 4, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) 4 (c) 2\/5 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/4 + 2223*j\/4 + 555.\nAnswer: 3*(j + 1)*(j + 740)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2765 or 287?\nAnswer: -2765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 4*m**2 + 3*m + 2*m + (16 + 7 + 5)*(-2*m**2 + m**2 - 2*m**2).\nAnswer: -80*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12813 (base 12) to base 7.\nAnswer: 133635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.55*-0.02\nAnswer: 0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 9\/2 - 1\/2*n**2 - 1\/2*n**3 + 9\/2*n = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s. Let z(b) be the third derivative of -5*b**6\/24 - b**5\/60 - 10*b**3 - 36*b**2 - 1. Let u(l) be the first derivative of z(l). Determine u(j(h)).\nAnswer: -75*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - 1.8. Put o, 4, -2 in ascending order.\nAnswer: -2, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3501 - 3500. Let k(u) = 5*u**3 + 0*u**3 + u - 1 - 4*u**3. Let z(a) = 7*a**3 - a**2 + 6*a - 7. What is w*z(j) - 6*k(j)?\nAnswer: j**3 - j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 w when three letters picked without replacement from {s: 1, w: 2, z: 1, y: 2, v: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 3. Let o(d) = d**3 - 5*d**2 + 4*d + 1. Let n be o(3). Calculate the least common multiple of c(n) and (-61)\/(-3) + (-2)\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-13 + 27 + -8)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 112*z + 591*z**4 + 115*z**2 - 35*z**2 + 177*z**3 - 208*z**3 - 590*z**4.\nAnswer: z*(z - 28)*(z - 4)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -16, -17, -0.2, 0.5, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1694 + -0.4694. What is the closest to 15 in -0.5, s, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58.82 - -59. Let v = 0.13 - 0.05. Let g = t - v. Is g less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3842691ng to tonnes.\nAnswer: 0.0000000000000003842691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4 = 5*p - 4*b, -5*p - 5 = 4*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 3*p**6\/10 - 3*p**5\/5 + 3*p**4\/20 + p**3\/5 - 1. Factor q(j).\nAnswer: 3*j**2*(j - 1)**2*(3*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/108*1*(14\/2)\/(2\/4).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 295 divide 142485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -4. Suppose 0 = -b*i + 49 + 25. Let j = -26 + i. What is the remainder when 32 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/13)*a)\/a)**(-12)*a**14*a*a*a**(-25))**(-45) assuming a is positive.\nAnswer: a**(4185\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/952 and 169\/53466.\nAnswer: 3635688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-3*sqrt(68) + sqrt(68))*3 + 1*sqrt(68)*-3)\/((sqrt(80)\/(sqrt(12)\/sqrt(3)))\/(2*sqrt(5)*2)).\nAnswer: -36*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56.3 + 39. Is d greater than -9\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3\/8, -3, 4, -2\/7, 1279\/7.\nAnswer: -3, -0.4, -2\/7, 3\/8, 4, 1279\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 337.971886 rounded to the nearest ten?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -323*m**2 + 240*m wrt m?\nAnswer: -646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 - 885 = -97*p + 1294 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5875 is divided by 95.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u = -2*r - 532, 5*u = 3*r + 790. Let t = -266 - r. Solve -t*g - 16 = 4*h, -4*h = g - 8 + 27 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -7*l - 0*k - k, -4*k + 6 = -6*l - 80 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 0*(-10)\/(-50). Solve 7*s - 4*s + p = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 0*l + 1\/2*l**3 + 3 + 1\/24*l**4 + 1\/2*l**2. Let d(f) be the second derivative of n(f). What is d(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2415929 is divided by 118.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - 3630\/80)\/((-1)\/8)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.019 * -252.\nAnswer: 4.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27765 + 11915 = -33*v + 26258. Is v a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4*(9 - -2185) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.953969 to two decimal places.\nAnswer: 33.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -59*i. Let s(q) = -41*q**2 - q. What is s(u(b))?\nAnswer: -142721*b**2 + 59*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-39) assuming r is positive.\nAnswer: r**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06793 rounded to 3 decimal places?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13637 times 0.2?\nAnswer: -2727.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100213 - -23503?\nAnswer: -32310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1213296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2944042 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3649*d**3*s**3 + 2*d**2 - 35*d*s**3 - 250*s**3 wrt d?\nAnswer: -21894*d*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.61803 (b) 4 (c) -2\/13 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/6 + 727*j**2\/2 - 5465*j\/3.\nAnswer: j*(j - 5)*(j + 2186)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -188016 >= -188015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 73440 and -0.5.\nAnswer: -36720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 2. Let j be y(-6). Suppose 3*x + 1 = -i, -x = 3*i - 5*i - 2. Let v = i - j. Solve g = -v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 25.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5509, -10995, -16479, -21961, -27441?\n\"Answer: y**2 - 5489*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*z = 19 - 64, -5*y - 2*z + 24 = 0. What is the remainder when 22 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/9 - 132\/(-9). Let n = 20 - c. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -1.2 (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 3) + -18 + (-4 - -1) + 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*t - 3*b - 19, -3*t - 3*b + 3 = 0. Is -5 - 9678\/t*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from bbbcbbbbcbbbbbbbbbbb?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1257*h - 36339 + 41367 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 - 5*c**2 + 5. Let v(u) be the second derivative of -u**5\/20 - u**4\/6 + u**2 + 10*u. What is -5*v(t) + 2*y(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, -27, -3 in decreasing order.\nAnswer: 0.3, -3, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1748*o - 48*o = 184*o - 71252 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b + 286. Let m(n) = 3*n. Calculate m(d(v)).\nAnswer: -24*v + 858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-14) + 1034\/(-2632).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-3) - 40\/(-30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 - 42*d + 268. Is 2 a factor of n(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n. Let g(s) = -88*s + 202. Give g(o(b)).\nAnswer: -88*b + 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**5\/20 + m**4 + 29*m**3\/6 + 7*m**2\/2 - 2*m. Suppose 55 - 85 = -3*c. Is b(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -29 + 6 + -25 + -4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 9*d + 18. Let f be v(-8). Let u = f - 138. Calculate the remainder when 25 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**5\/7 + 138*p**4\/7 + 1587*p**3\/7.\nAnswer: 3*p**3*(p + 23)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 83772 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203*a**4*i**3 - 508*a**4 + 58*a**3 + 6*a**2*i**3 - 6*a**2*i**2 - 203*a**2*i - 8*a**2 + 77*i**3 wrt a.\nAnswer: 4872*a*i**3 - 12192*a + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.78 - 10. Let x = 21.02 + q. Let m = x - 21. Which is the second biggest value? (a) -4 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 15 (b) 79 (c) -0.5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772 is divided by 376.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 2*z**2 - z + 1. Let i be l(-3). Let y(x) = x**3 + 6*x**2 + 5*x + 2. Let f be y(i). Differentiate -f*t + 0*t - 3 + 2*t**4 + 2*t wrt t.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 12.66. Let i = -5.26 - z. Let k = i - -5.6. Which is the nearest to k? (a) 0 (b) -3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16\/7 - 181\/70. Let n = 2 - 3. Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*y = -153*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v + 2*v + 4*v + (-3*v - 4 + 4)*(1 + 10 + 14) - 27*v - 16*v + 75*v in the form l*v + y and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44.5 + 24.6. Let q = h + 20. Which is smaller: -1.2 or q?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001947 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17, -6, 5, 16?\n\"Answer: 11*n - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*r - 162, 2*r - c - 3*c = 118. Let p = r + -44. Suppose p*b - 249 = 2*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(40\/4)*((-2)\/(-11))\/((-1248)\/1716)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2988*a + 102206. Calculate p(34).\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -j + 4*j + 31, 3*k - 13 = j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5*sqrt(102)*1 - sqrt(102)))\/(sqrt(42)\/((sqrt(77)*-3)\/sqrt(11))).\nAnswer: 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkj. What is prob of sequence jkk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) -0.5 (b) 125 (c) -14\/13 (d) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -1. Let q(z) = -z + 13. Determine m(x) + q(x).\nAnswer: -x + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.11 + -3.89. Let q be (1 - 4\/(-8))*(336\/(-36) - -8). What is the smallest value in q, -1\/3, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/55)\/((-39)\/(-5) + -5).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*k + 308*k = 5*y + 35, 0 = -5*y - 20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(96\/(-9 - -1)). Solve -17*w = -2*c - 18*w - 7, y = 5*c - 2*w + 40 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 3*i**2 + (-5 + 2 + 1)*(-4*i + 2*i**2 + 4*i) - i**2 + 6*i**2 + 2*i**2 + (-5*i + 1 - 1)*(-2*i + 2*i + 2*i) as w*i**2 + a + u*i and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1112493 and 0.638731?\nAnswer: 1112492.361269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2*(-110)\/(-33). Suppose -2*l - 44 = -4*j - 710, -w*j - 5 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -174.1 * 8.\nAnswer: -1392.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 13 (c) -6 (d) 42 (e) 2\/7 (f) 22\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.5, 2, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**15*i)\/i)**(7\/6)*i*i*(i*i**(2\/45))\/i*i**(-19))**44 assuming i is positive.\nAnswer: i**(3388\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2307286870 - 50\nAnswer: 2307286820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -8.5. Let r = 15 + -21. Let p = f - r. What is the second biggest value in p, -2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4175401831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265439977, 265439976, 265439975, 265439974, 265439973?\nAnswer: 265439972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 + 1)*(5 + 1 - 4) + 1 - 1 - 1)*(-4 + 23*j + 4)*(22*j + 2*j + 6*j) + j**2 - 2*j**2 - j**2.\nAnswer: 2068*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27092*j**2 - 171*j + 27048*j**2 + 131*j + 2)*(-j**2 + 2*j**2 - 2*j**2).\nAnswer: 44*j**4 + 40*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(9\/(45\/10)). Suppose q - 1 = 3*o, -3*o - 2*o + 15 = x. Sort 3, q, -5 in descending order.\nAnswer: q, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -631 or -3779\/6?\nAnswer: -3779\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = d + d + 55, 4 = 4*c. Let s be (-20)\/110 - d\/33. Let l = 6 - 2. What is the closest to -2 in 2, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w**2 - 338*w**4 - 10*w**3 + 0*w + 1013*w**4 - 4 - 333*w**4 - 340*w**4 + 2*w as n + m*w**4 + d*w**3 + z*w + q*w**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2424 is divided by 220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13327480 and 3800.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 48335c (base 14) to base 4\nAnswer: 21122123012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 7*l**4\/12 - 4*l**3\/3 + 4*l**2 - 4*l. Let d(r) = -6*r**2 + 9*r - 9. Let a(c) = -4*d(c) - 3*v(c). Find f such that a(f) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**6\/120 + 13*r**5\/30 + 3*r**4\/8 - 19*r**3\/3 + 8*r**2 - 3. Is 49 a factor of y(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 7 + 1)*(-118)\/118.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362604750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13\/6 + 17\/6. Let y be (3 - (1 + -1)) + 1. Suppose -y*z - 6 - 8 = -3*m, 4 = 3*m - 2*z. Which is the biggest value? (a) m (b) -2\/9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 9*g + 30. What is the biggest value in 0, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (203 - 210)*2\/14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18383000 to the nearest 10000.\nAnswer: 18380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/629 and -42\/4255.\nAnswer: 72335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16530929?\nAnswer: 16530929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27177603 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(((-5)\/(-4))\/((-6)\/(-8)))\/(1365\/(-819)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13617 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764300 rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -683180533 - -11\nAnswer: -683180522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50172 - -23738. Round g to the nearest one thousand.\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (216\/(-28))\/((-9)\/63). What is the greatest common factor of d and 2484?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/5 - -4\/5. Let m = 19.56 + -20. Let q = m + 0.04. What is the smallest value in s, 0, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700766418 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*z - 285126*j**2 + j + 1609386*z wrt j?\nAnswer: -4*z - 570252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 0*s + 4*s + (5*s - 2*s - s)*(-1 + 4 - 1) - s + 1 - 1 + 8*s - 6*s + 11*s - 5 + 106*s - 7 - 442*s + 12.\nAnswer: -317*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86b (base 15) to base 7.\nAnswer: -5354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-360))\/(1 + 0).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-54))\/(12\/1656) - (-25 - -15)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 38. Let g be (p\/(-4))\/((-3)\/(14 + -2)). Suppose -g*w + 73 = -35. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22807365\/52 at least as big as 438603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 110 (b) 3170 (c) 0.3 (d) -1 (e) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -85254 - 1684?\nAnswer: -87048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 4. Let m(t) = t**3 - 5*t**2 - 14*t + 2. Let u be m(7). Let f(n) = -1. Determine u*f(p) - a(p).\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 36, 2\/9, 5, 4, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 24 = -8*a + 5*a, -2*a = 2*c - 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143868 and 419748.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 96?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1160 and 12296.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -18 - ((1 - -2) + 3)) + 3\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (2382\/(-18)*1)\/((-2)\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, k: 8, p: 2, o: 1}. Give prob of picking 2 k and 2 p.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276904?\nAnswer: 2, 34613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-2) - (-7 + 4). Solve -15 = 3*d - g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -899*d**4*l**3 + d**3*l**3 + 7*d - 21*l**3 wrt d?\nAnswer: -10788*d**2*l**3 + 6*d*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2. Let x(f) = -11*f - 3. Let p(b) = -b - 1. Let k(t) = -4*p(t) + x(t). Give r(k(a)).\nAnswer: -98*a**2 + 28*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*d**5*l**3 - 4*d**3*l**3 + 21*d**2 + 2*l**3 wrt d.\nAnswer: -360*d**2*l**3 - 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113434488?\nAnswer: 2, 3, 1575479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 8. Let x = 26 + -22. Let c(v) = -v + 7. Determine x*c(s) - 3*z(s).\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - (3 - 7) - (-46 + 45). Suppose 8 + 40 = -4*l. Sort l, 3, h, 2 in descending order.\nAnswer: 3, 2, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2057) - -1*(-1 + sqrt(17))) + (5 + sqrt(2057) + 1 + sqrt(2057) + sqrt(2057) - sqrt(2057))**2.\nAnswer: 276*sqrt(17) + 8264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500*h = 498*h + 22. Let p(a) = -2 + 9*a**2 + 8*a - h*a + 13*a. Let c(u) = -14*u**2 - 15*u + 3. Give -5*c(b) - 8*p(b).\nAnswer: -2*b**2 - 5*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + 8\/16)\/(2\/(-4)). Let z be 113 - (b + 2 + 5). Suppose 0 = -4*v + 99 + z. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0205*-208.\nAnswer: -4.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (1 - 0 - (2 - 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/((-63)\/(-6))*3. Suppose -5*b - 25 = 0, 0 = 4*g - 0*g - 2*b - 18. Is 9 a factor of (v - (g + -1))\/(2\/178)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*n. What is the lowest common multiple of (9 - (1 + n))\/2 and 1 + 2 + -1 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most -463.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 27*w - 26*w, 0 = -0*b + 3*b - 2*w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10357067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 1, f: 1, x: 1, b: 1}. Give prob of sequence fj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w - 7*w - 6*w - 1 + 2. Let h(m) = 2*m - 2*m + 3*m - m. Calculate a(h(b)).\nAnswer: -28*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 243.2 - 8.2. Let k = 235.002875 - l. What is k rounded to four dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -21. Let k(d) = -d**2 - 13*d + 18. Let h be k(a). Is 47 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/210)\/((-8)\/(-14))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004035 rounded to five decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttwwttwt. Give prob of sequence wtwt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 338454806311.\nAnswer: 338454806312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 169*c**2 - 3225*c - 1301. What is n(147)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0132 and 7.42?\nAnswer: 0.097944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -11101101001?\nAnswer: -11101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(99) - (-1*sqrt(99) + 5) - sqrt(99)) + (0 + sqrt(99))*-1 - 5*(4 + -4*sqrt(99))))**2.\nAnswer: -12000*sqrt(11) + 160900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -86518052.5 rounded to the nearest one million?\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 16*v - 18. Let p be w(15). Let t be (p + 4 + 2)\/(4 + -1). Let n be (-495)\/(-132) - 1*t\/(-4). Solve 2*r - 3 - 1 = 0, 3*h + 4*r + n = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21210010121 (base 3) in base 9?\nAnswer: -253117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11240145 (base 6) to base 11.\nAnswer: -218002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-12) - (-34)\/8. Suppose -o*x = -2*x - 12. Suppose -i = u + 3 - x, -u - 17 = -4*i. Put i, 0.1, 0.5 in increasing order.\nAnswer: 0.1, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17\/13 + -5\/26. Let y be 14 + -10 - (-50)\/(-13). What is the third smallest value in d, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**4 - 3*a**3 - 4*a**2. Suppose -75 = -80*d + 65*d. Let q = -7 - -11. Let n(s) = -s**4 + 4*s**3 + 5*s**2. Let h(f) = d*o(f) + q*n(f). Factor h(m).\nAnswer: m**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 5:39 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1024a (base 13) to base 9.\nAnswer: -43648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + -5 + sqrt(320) + -1)**2 + -5.\nAnswer: -192*sqrt(5) + 1311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(396)\/(-1*sqrt(12) - sqrt(12)))\/(1*sqrt(11)*-2).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/23244 and -157\/34866?\nAnswer: 69732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7 = -4*d + 61, -4*p + 2*d + 120 = 0. Let g = 2 + 8. Suppose 6*i + g = p. Solve -3*r - 2*u = 17, -2*u = 4*r - i*r + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*v, j + 2*v - 3 = -7. Let p = j + 20. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*s + 32. Suppose 0 = 5*y - 3*v - 76, -3*y = -5*y + 3*v + 25. Is y > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 11:39 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 5151.\nAnswer: 10302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -87*c**2 + c + 960. Let a(f) = 174*f**2 - 3*f - 1920. Let k(l) = 2*a(l) + 5*h(l). Differentiate k(m) with respect to m.\nAnswer: -174*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1419 and 99.\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109727591 and 6081.\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15337798 and -3.91063?\nAnswer: 15337794.08937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17880 + -9859. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23754781, -23754786, -23754791, -23754796, -23754801?\n\"Answer: -5*n - 23754776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/84 - 270\/(-630) - 55\/6. Put -1, l, 4 in increasing order.\nAnswer: l, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -391 - -391.00000865. What is q rounded to 7 dps?\nAnswer: 0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -14*s + 2518. Give m(-22).\nAnswer: 2826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -466, 5, -26, -3, -114 in increasing order.\nAnswer: -466, -114, -26, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/10)\/(2\/5). Suppose 4*v + i = 16, 4*v - i + m = 26. Let d(b) = 9*b**2 + 4*b + 5. Let c(x) = 10*x**2 + 5*x + 6. Let o(w) = v*d(w) - 4*c(w). Give o(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.824834 rounded to 1 dp?\nAnswer: 84.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (42 - 13) + -67?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/50 and 58\/55.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 7656?\nAnswer: 68904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 2 + 0 + 56*o.\nAnswer: 56*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 5*g + m, -51 = -21928*g + 21925*g + 4*m for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**4\/4 - 230*j**3\/3 + 154*j**2 - 67*j + 6. Determine i so that s(i) = 0.\nAnswer: -154, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -0.3 (c) 2.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, 0, 2, 8, 18?\n\"Answer: 2*z**2 - 8*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66185819?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 12*y**3 + 11*y**2 - 14*y + 13. Let u be j(-12). Let a = u + 12571. What is a rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05332081 and -2062.6.\nAnswer: -2062.54667919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfi when three letters picked without replacement from tywtibfw?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 16 = 4*f + 3, -f + 1 = -3*j. Suppose -5*y + 3*m + 2 = f, -3*y - 6 = -3*m. Does 14 divide y\/(-2) + (-52)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5117 and 763169848?\nAnswer: 5117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 2122?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/9 - 2\/3*t + 2\/3*t**3 + 2\/9*t**2 = 0. Calculate t.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -761, -758, -755, -752, -749, -746?\n\"Answer: 3*v - 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102 - 89. Suppose -f*a = -22*a + 108. Let j be 6\/a - (-1)\/(-3). What is the nearest to 0 in 1\/2, -2\/15, j?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and ((-14)\/3)\/((-6)\/90).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -50, -65, -68, -59?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**4\/2 - 107238*g**3 + 1935127161*g**2 - 659956485702*g + 113619911245923\/2 = 0. Calculate g.\nAnswer: 173, 35573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255341 and 12110049.\nAnswer: 2869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) 313\/4 (c) 5\/3 (d) -2\/3 (e) 0.05 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -73*h**2 - 9*h - 6. Calculate t(-3).\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4024 - 991 = -5*v. Does 26 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119 + -267. Calculate the remainder when 4\/(-12) + p\/(-3) is divided by (-7 - -6)\/(((-3)\/75)\/1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 + 14) - (3 + -4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h + 24. Let p(a) = -a + 11. Let j(g) = 6*d(g) - 13*p(g). Suppose -q = q - 12. Suppose 0 + q = 2*l. Give j(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4, 20, -4\/3, 17586\/5 in increasing order.\nAnswer: -4\/3, -0.5, 4, 20, 17586\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.33 + -44.97. Let q = o + 136.8. Let b = -60 + q. What is b rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 62*k + 701. Let f be n(-50). Calculate the highest common factor of 8 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326279.14 rounded to the nearest 1000?\nAnswer: 326000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2 + 4 + 2*v + 0*v. Let k = -90 - -84. What is w(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1571 divide 141624079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*g - 4. Let l(c) = -3*c**2 - g*c**2 + 7 + 4*c**2 - 4*c - 3. Determine l(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**4\/24 - h**3\/6 - 3*h**2. Let i(y) = -5*y + 3. Calculate i(w) + 3*p(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.28 + 0.48. Let v = -2.7 + z. What is v rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - 8d?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(50))*4 + sqrt(2) + 3)**2.\nAnswer: -90*sqrt(2) + 459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = q - 19. Solve 4*s - q*s + 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 1 + 7. Suppose 4*d + 5 = -0*d + 5*q, 2*q = -d + z. Suppose -5*r + d*r - 275000 = 0. What is r rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 4*o + 1. Let r be 1\/(-3 + 10\/3). What is the units digit of v(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**2 - 3*k + 6. Let u(z) = 7*z**2 - 4*z + 7. Let d(j) = -4*u(j) + 5*v(j). Calculate the remainder when d(-8) is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -633, -4986, -16697, -39444, -76905, -132758?\nAnswer: -210681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = 3*z - 2*h + 20, -z - 3*h = 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20.6, 38, 0.4?\nAnswer: 20.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 15 = 5*k. Let a(o) = -o**3 + 10*o**2 + 11*o + 16. What is the units digit of a(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251978322 divided by 6?\nAnswer: -41996387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/(-40)*2*5*-1. Suppose 5*h - 63*t - 16 = -62*t, h + 4*t - 20 = 0. Solve -v*x = h*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 23, 204, -5, 0.1, -1\/6.\nAnswer: -5, -1\/6, 0.1, 2\/5, 23, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -98 (b) 1\/6 (c) -25.7 (d) 5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 2*z + 6. Let q be y(-3). Let x be (-2)\/(-4)*0 - -31. Suppose 5*b = t - x, b - 10 = -5*t - 3*b. Solve -3*s + q = -t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72317714 is divided by 197?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1239.01.\nAnswer: -6195.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -55357.818 and -5.\nAnswer: -55362.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + (28\/(-14))\/((-1)\/(-2)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k + 63*k - 138 = 16*k. Which is the biggest value? (a) 2\/13 (b) -62 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 <= 373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyuu when four letters picked without replacement from {p: 13, u: 3, y: 1}?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.47331 litres in millilitres?\nAnswer: 57473.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1845.64502 - 0.04502. What is d rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = -8*l + 864. Calculate the highest common factor of 48 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.1, 13, -186?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 956*g**2 + 35656*g - 67456.\nAnswer: -4*(g - 31)*(g - 2)*(g + 272)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -3*z - 7*f + 11*f, 5*z + 22*f - 70 = 199 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 50?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 12, 5, 4, 0.\nAnswer: -6, -4, 0, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -10114?\nAnswer: 1011a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 9759.\nAnswer: 5855.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3\/5 - 1754*c**2\/5 + 1868*c\/5 + 98336\/5 = 0.\nAnswer: -878, -7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414 (base 7) to base 2.\nAnswer: 11001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 5*o - 4*i, 5*o - 5927*i + 5931*i + 11 + 72 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 22, 11, -10, -4\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 6:35 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1574460 divided by -3?\nAnswer: 524820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(252) + -4 + 3)**2*6.\nAnswer: -72*sqrt(7) + 1518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -4. Let s = n - -31. Solve -3*h - 2 + s = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1392318.\nAnswer: 2, 3, 77351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 55. Factor 16*t**2 + t - 3*t**3 + 11*t + 7*t**f.\nAnswer: 4*t*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*n - 2*n - 4*q - 4, -3*n - 2*q + 6 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -4230?\nAnswer: 4222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 139*x**2 - 2. Let l(u) = -19495*u. Determine l(p(d)).\nAnswer: -2709805*d**2 + 38990","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 487 + 0 + -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j - 18. Let h be p(5). What is the units digit of (3\/h)\/((-4)\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*m + 36*m + 14*m as n*m + w and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 2319?\nAnswer: 41742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3)*(-6)\/(-13). Let z = 1 - 2. Which is the third smallest value? (a) z (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by 3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22247, -17852, -13453, -9050, -4643?\n\"Answer: 2*x**2 + 4389*x - 26638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -21. Is 11\/4 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000087924 rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(-3*v + 5 - 5)*(4 - 9 + 1) in the form h*v + m and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 68*t + 405*t + 12 + 18.\nAnswer: 337*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 165 = -561. Let p = m - 19. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 10. Let l = n - 3. Which is greater: l or 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -2448.\nAnswer: -5\/612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6707 or -4211?\nAnswer: -4211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1947 + 0.3053. Sort 4\/3, q, 0.1, 5, -0.065 in decreasing order.\nAnswer: 5, 4\/3, q, 0.1, -0.065","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 420*g**2 + 2487*g + 36. Give k(6).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6438 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 - 2*o**3 - 6880*o**4 + 7121*o**4 + (-2*o**3 + 2*o**3 - 2*o**3)*(5*o - 21 + 21).\nAnswer: 231*o**4 + o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*((2 + 3 - 1)*(-16 + 1 + 6)*(a - 1 + 1) + (-1 + 4 - 1)*(0*a + 0*a + 2*a)).\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.7651 + 16.765132. Let m = 3 - a. Round m to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/21695 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*r + 17885 - 19285 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3. Suppose -10*f + 9*f = -8. Let b(u) = -61*u + f*u**2 + 61*u. Calculate b(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (29 - -1) + -21?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = 2437 + 2945. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((63\/(-4))\/(-1))\/(1275\/17000). What is the highest common divisor of l and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 30*i**2 + 34*i**2 + 1 - 8*i = 0 for i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29873.\nAnswer: 29873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-185)\/555)\/((-21)\/123) and 2 + 0 - 39\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*s - 7*s + 25, -2*s + 10 = -4*y. Let i = 5 + y. Suppose 3*p + 44 = i*g - 171, -25 = 5*p. Calculate the remainder when g is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45, 95, 153, 213, 269, 315, 345, 353?\n\"Answer: -t**3 + 10*t**2 + 27*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249601014 to the power of 1\/2, to the nearest integer?\nAnswer: 15799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-2\/31)*q*(q*q\/(q*q\/(q*q\/q**(-3))))\/q*q**(-11)*q**(-10) assuming q is positive.\nAnswer: q**(-463\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 1 - 7. Let u = -7 + 10. Calculate the highest common divisor of f and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 300.96 (c) 20 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 460179581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiiji. What is prob of sequence ij?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -52, -106, -180?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -669301, -1338578, -2007855?\nAnswer: -2677132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014266688635 rounded to 4 decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 6055*d - 3506*d + 7 + 3.\nAnswer: -9561*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104641962 and 6322?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 4*g - 20 = -5*r, -2*g = -5*r + 23. Suppose w - r*w = -12. Suppose -6*d + 2*d + w*c = -516, d - c - 129 = 0. What are the prime factors of d?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 71, 243, 531, 935, 1455, 2091, 2843?\n\"Answer: 58*z**2 - 2*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from idvklvr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2387 and 162813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 13.2.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 - 56. Let k(r) = 7*r**2 - 6*r + 28. What are the prime factors of k(u)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 take away -1.7?\nAnswer: -117.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4197 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/10)\/(145\/(-65250)*567)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847998.\nAnswer: 2, 3, 47111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 403282818 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**33*g**(-9)\/g assuming g is positive.\nAnswer: g**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from {r: 6, m: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68880 and 1704.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 13 - 1)*(-m**3 + 0*m**3 - 2*m**3) to the form u*m**2 + k*m + s + t*m**3 and give t.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17349*r + 148 = -17312*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = d - 92. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -32) + 1586\/156 + 35\/(-30)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33525 (base 6) in base 8?\nAnswer: 11175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/319*(1050\/(-49))\/25.\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003337523376 rounded to six dps?\nAnswer: -0.003338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/51261273 and -59\/119609637.\nAnswer: 358828911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-26289)\/(-131445)*1\/1*110\/2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f - 19*f + 2387431 - 920042 = 0. List the prime factors of f.\nAnswer: 7, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 48.0288ug?\nAnswer: 0.0480288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51135*q*s**6 - 22*q*s**2 - 442*s**2 wrt s.\nAnswer: -6136200*q*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -251 + 149. Let g = 102.000081 + l. What is g rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/41)\/((s*s**17*s)\/s)*(s**5)**(4\/31) assuming s is positive.\nAnswer: s**(-22120\/1271)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by -63\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {r: 6, p: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 40\/11, -0.2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 < 10341\/176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwwwlllqllqyqwlq. Give prob of picking 1 q and 2 w.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 322, 326, 324, 310, 278?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 61 - 99?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6625647?\nAnswer: 3, 7, 251, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/20 and -34\/25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 558 by 9.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -847262, -847279, -847310, -847361, -847438, -847547, -847694, -847885?\n\"Answer: -v**3 - v**2 - 7*v - 847253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36175 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1283297460 divided by 4\nAnswer: -320824365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 12*r**2 - 3*r - 3. Let w be c(12). Let m = 45 + w. Suppose -14*x + 792 = -m*x. Is x a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + r - 6 = 0, 76*p = 124*p - r - 96 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 3*z - p - 13, 19 = -z + 5*p. Let s(r) = -r**2 + 3*r + 3. Give s(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246568972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**7\/210 - 13*v**5\/30 - 12*v**2 + 9. Let y(a) be the second derivative of c(a). What is the third derivative of y(i) wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v - v + v**2 + 666 - 666 - 61*v**2 + (0*v - v + 0*v)*(2*v - 1 + 1) + (-2*v - 4*v + 0*v)*(-v + 5*v - v).\nAnswer: -80*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32 - -506?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 29994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4471, -4399, -4333, -4273, -4219?\nAnswer: -4171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11825802 is divided by 1628.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 18*w = -5*y + 106953, 0 = 4*w - 3*y - 213815. What are the prime factors of w?\nAnswer: 7, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 5*u + 3, -109 = 4*n + 3*u - 76 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-2\/19)))\/(a**(5\/6)*a)*((a*a**(-1\/3))\/a)**(-25))**(-6\/5) assuming a is positive.\nAnswer: a**(-753\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.3 - -11.3. Let x be ((-6)\/58)\/((-3)\/2). Which is the smallest value? (a) 1\/2 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512646973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5541*i - 1348*i - 1359*i - 1373*i - 1371*i.\nAnswer: 90*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 79077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/8 of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-13 - -2 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6) + (-2)\/(-3). Let a(q) = q**2 - q. Let f be a(v). Let m(k) = k**2 - 2*k - 6. Let o be m(-2). Solve -o*n + f*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*n - 4*l, -n = -0*n + 5*l - 17. Let m = 37\/24 - 11\/8. Which is the nearest to 0? (a) n (b) 2\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 2. Let u be j(8). Let b(s) be the third derivative of s**4\/24 + 3*s**3\/2 + s**2. Let h be b(u). Solve -3*a - h = 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2122766 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 - 239*y**2 - 56*y - 245. Let w be z(60). Sort w, -161, -2 in increasing order.\nAnswer: -161, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 12:25 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264253648 by 4.\nAnswer: 66063412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 + 477\/5. Is -1 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6488?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 2) + (-18)\/(-21). Let l = -300 + 300. Which is the nearest to 0? (a) l (b) g (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 6*p - 3. Let o be i(-4). Suppose -m + 4*d = -15, -4*d - 28 = -o*m + 79. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 243 + -241. Factor 11*r + 0*r + 11*r**k + 3 + 16*r**2 + 19*r.\nAnswer: 3*(r + 1)*(9*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -5*q. Suppose -j = c + j + q, -5*c + 2*j - 29 = 0. Let s = c - -13. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 43 + 18 - 3*g)*(9 - 1 - 3) - 2 - 4 - 3*g + 5*g.\nAnswer: -8*g - 131","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -15. Let t = -2899 + 2908. Which is the closest to 0.1? (a) -6 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 6:26 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Suppose o - 40 = -2*x, -w*o - 2*x + 56 = -68. Let a = 36 - 8. What is the highest common divisor of o and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 2*j - 2. Let l be t(4). Suppose -l*d + d + 25 = 0. Let c = 172 - 161. Calculate the remainder when c is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**13\/(y\/y**(-2)) assuming y is positive.\nAnswer: y**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5582\/5 or -1115?\nAnswer: -5582\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 + 3*l + 1. Let h(x) = -x**2 - 2*x - 1. Let a(j) = -j**2 - 3*j - 2. Let k(y) = 2*a(y) - 3*h(y). Let s(o) = 3*k(o) - p(o). Give s(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31563039*t*v**2 + 20*t*v - 25*t + v - 146 wrt v.\nAnswer: 63126078*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 1563956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7723d (base 14) to base 9\nAnswer: 478750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + -102002112011?\nAnswer: -102002112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 12*r - 17 = 14*r, -5*r = -20. Suppose -572 = -2*b + y, -11*b + 7*b = -o*y - 1144. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(sqrt(128) + (sqrt(128)*1 - sqrt(128)) + -2 + 0)**2.\nAnswer: -797 + 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/3)\/(-4*5\/(-90)). Suppose 0 = l - k*l. Let q be (0 + 0\/4 + l)\/(-1). Put 5, q, -2\/7 in increasing order.\nAnswer: -2\/7, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/2236 and 101\/28.\nAnswer: 15652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -175, -267, -367?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 6020586 - 6020586.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4))**(-2\/27) assuming r is positive.\nAnswer: r**(8\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2 + 6 + k**3 + 0 - 12 + 5. Let a(r) = 6*r**3 + 2. What is a(u) - 2*n(u)?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001111001101010000 - 1?\nAnswer: 100001111001101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 7*d - 4. Let r be j(-9). Let f = -138 + r. Put -4, -1, f in descending order.\nAnswer: f, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 3*y**2 - 2*y + 3. Let z be r(-3). Let o = 32 - z. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*s + 6*s, 6 = 3*s. Does 16 divide 2\/((-4)\/(-93)) + 3\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15225000 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 2*f - 2*z - 20, 5*z + 26 = -4*f. Let h be -1 + 2 + (-5)\/2. Let m = -10 + 15. Which is the third smallest value? (a) h (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + y - 1 - 17 + 6.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -61419?\nAnswer: 6141a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c - 3*c - 5*c)*(6659 - 2634 - 2719)*(-3 + 2*c**2 + 3) to v + b*c**2 + g*c + j*c**3 and give j.\nAnswer: -7836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.66274 + -0.02956. Let s = 0.737 + k. What is s rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 9*b - 4. Let p be s(8). Suppose -55 = -y + p. What is the greatest common divisor of y and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/(s\/((s**(-1\/3)*s)\/s)))*s*s*s*s*s*s\/s**5)**45*(s\/(s\/((s*s**(-2\/3)*s)\/s))*s*s)**(-17\/5)*(s*s**1\/s)**(-9\/7) assuming s is positive.\nAnswer: s**(14782\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 18. Let u be (3\/(-6))\/((-2)\/q). What is the second derivative of w**u + w + 3*w**3 - 2*w - w**2 wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 - -138. Sort -4, 1, f, 2.\nAnswer: f, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - 2)\/(-17 + -4 + 19). Let y = -3.2 + 0.2. Sort 3\/4, 0.16, y, w in decreasing order.\nAnswer: w, 3\/4, 0.16, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/40)\/(60\/250)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*r - 18 = 84*r. What is the units digit of 10 + 4*r\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q**3 - 2*q**2 + 7*q. Let j(h) = -9*h**3 + 3*h**2 - 8*h. Determine 6*j(w) + 7*o(w).\nAnswer: 2*w**3 + 4*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 338 and 108033461.\nAnswer: 108033799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -21. Suppose 4*g - t + 2 = 0. Suppose -5*j = -g*j - 20. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 251818.8mm?\nAnswer: 0.2518188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7236 - 7308. Put 4, k, -2 in descending order.\nAnswer: 4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 3220132233312?\nAnswer: -3220132233312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 15 = 5*p. Suppose -4*z = p*t - 52, 0*t - 4*t + 28 = 2*z. Let w = z + -10. Solve -3 = 5*h + w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/8 + 1 + 1185\/(-20). Let w = 100 + o. Let q = -40 + w. Solve q*m + 6 = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 206 + 181 - 546 + 181 - 4*q to k + g*q and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16434 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -50. Calculate the remainder when q is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*v**2 + 41002*v**3 + 3*v - v - 13*v**2.\nAnswer: 41002*v**3 + 16*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + (-222208)\/(-2944) - 113.\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r + 73. What is l(0)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11221 (base 5) in base 11?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106732 = -374*q - 102992 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8909 or -8911?\nAnswer: -8909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - t + 11, -15*z - 129*t - 71 = -130*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 12*h - 6. Let d be (2 + -3)\/((-1)\/(-9)). Let r be b(d). Calculate the greatest common factor of r and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 916 - 12 - ((0 - -2) + 0). Let a = 473 + m. Let p = a + -915. What is p rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 1614 - 194. What are the prime factors of s?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 192 + -96. Let a = k - -161. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1558 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -161151 + 720639.8.\nAnswer: 559488.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -200*p**3 + 7*p**2 - 14*p + 6. Let k(x) = 101*x**3 - 4*x**2 + 8*x - 3. Calculate 7*k(z) + 4*r(z).\nAnswer: -93*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3743312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 4, -2\/5, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -88?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 1\/6*h**3 - 5 - h**2 + 2*h. Let u(c) be the first derivative of s(c). What is u(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 3. What is the least common multiple of 6*(7\/(-3) - (-36 - -33)) and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.001233452 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -16. Let u = 1 + -2. Let r = -6.5 - -7. Put r, u, a in decreasing order.\nAnswer: r, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c + 3. Let a be b(-5). Is 6\/a + 3802\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8385746.\nAnswer: 2, 4192873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 11*j - 94. Let o be h(22). Let q = -84 + o. What is the greatest common factor of q and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*b = -10, 3*b - 4*b = 4*k - 20. What is the highest common divisor of 25 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*l + 991 + 3041 = 0 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1056949, -9 in descending order.\nAnswer: 1056949, 5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13731100 divided by -610.\nAnswer: 22510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15847*n**2 - 15766*n**2 + 31781*n**2.\nAnswer: 168*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 965087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 297996803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 25, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + sqrt(208) - (2 + sqrt(208) + sqrt(208))*-3)**2.\nAnswer: 336*sqrt(13) + 10228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 239, 351, 461, 569, 675?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 13*j - 7 + 3 - 2. Let a be h(14). Is 9 a factor of (-3*(1 + a))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -463*f - 1169*f - 573*f - 2 + 365*f - 600*f. Let t(n) = n**2. Determine q(t(z)).\nAnswer: -2440*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/7 + 13*l\/7 - 2.\nAnswer: (l - 1)*(l + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/25*(-4)\/(-3))\/(48\/(-360))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + k = 60. Suppose -2*a + 40 = -k. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 475163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 321*k + 24501. What is z(212)?\nAnswer: 1393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119 - 106. What is the highest common divisor of n and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*p + 15. Suppose p = -3*n - 4*m - 17, 2*n + 10 = -2*m. Find the third derivative of 0*f**6 + 0*f**2 - 2*f**2 + n*f**6 - 3*f**6 wrt f.\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*u**3 - 17*u**3 + 50*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 17*y**2 - 46*y - 9. What is k(14)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -22*f**2 + 2*f - 7. Let h(r) = 22*r**2 - 2*r + 8. Suppose -5*q = -4*b - 4*q - 32, -4*b - 5*q = -16. Give b*s(l) - 5*h(l).\nAnswer: 22*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95312*h + 25663 wrt h.\nAnswer: -95312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22075231 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*u + 219055 = 227173 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + 6*j**2 + 4*j - 4*j**2)*(j**2 - 127*j + 125*j + 4 + 0) to a + n*j**3 + h*j**2 + p*j**4 + g*j and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**2 - g. Let b(v) = -9*v + 26. Let w = 4 - 1. Let j be b(w). Give s(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27861*y**4 + 5*y**3 - 5*y**3 - 27861*y**4 + 813*y**5 - 3*y**5 + y**5 - 2*y**5 + (0*y - y**4 + 0*y)*(-2*y - 2*y + 2*y).\nAnswer: 811*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 plus 415235?\nAnswer: 415363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 410 divide 209227548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 greater than -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 651, 631, 595, 537, 451, 331, 171, -35?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -728849\/90 = -8098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6114*v + 1139*v + 1277*v in the form k*v + d and give k.\nAnswer: 8530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 2. Let y be a(2). Let w = 2 + y. Suppose w*c = 2*c + 6. Solve -c*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -23\/13, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1 + (-3 + 6 - 2)*(1 + 2 + 0) + 1 - 3 + 0)*(-3*i**4 + 6*i**5 + 3*i**4).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 3*x**4\/8 - 5*x**3\/3 + 38*x**2. Let i(q) = 27*q - 30. Let a(m) = 6*i(m) - 17*r(m). Differentiate a(g) with respect to g.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*f + 247*h + 1009 = 88*f, 0 = 4*f - 2*h - 92 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 217587\/38 - 5728. Find the common denominator of m and 55\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 + -1)\/(84\/(-27) - -3). Suppose 15*v = -12*v + s. Factor -21\/2*r - 3*r**3 - 3 + v*r**4 - 12*r**2 + 3\/2*r**5.\nAnswer: 3*(r - 2)*(r + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 - 2598*o**2 + 2*o + o**3 + 3*o**3 + o**3 + o**3.\nAnswer: o**3 - 2598*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/11 + 54*m**2\/11.\nAnswer: -2*m**2*(m - 27)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2345 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 3*y - 30. Let x be a(8). Suppose 0 = -x*l - 76 + 1636. Let s = l - 74. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.296721l?\nAnswer: 296.721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*j**2 + 18*j + 88*j**2 - 46*j**2)*(-2*j**2 - 2 + 2).\nAnswer: -10*j**4 - 36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622438 is divided by 468.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -24342, -24690, -25038?\n\"Answer: -348*f - 23994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-2)\/sqrt(10) - (sqrt(187)*3)\/sqrt(11)) + -3 - ((-4 + sqrt(153))**2*6 - sqrt(153))*5.\nAnswer: -5073 + 730*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.5 (b) -1\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 660479?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.242 and 210562963902?\nAnswer: 210562963902.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/13 > 0.118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 47214447\nAnswer: -94428894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/18230181 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*m - 60 - 30. Suppose -2*b = 3*k - 1, b + 3*k + m = 5. Round b to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -176\/299 - -10\/23. Sort -0.5, 3\/8, w.\nAnswer: -0.5, w, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14 + -2)\/((-14)\/65). Let x = -74 + n. Let i be (150\/(-14))\/(-3) - 4. Which is the second biggest value? (a) -0.08 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0267 + -0.0767. Let q = -1.54 + -0.36. Let j = 2.4 + q. Sort -1, j, a in decreasing order.\nAnswer: j, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 10 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(u - u + 3*u) + (-2 + 2 + 1)*(-u - u + 4*u) + 0 + 0 - u - 2*u + 5*u - 5*u - 7*u - 3*u - u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1115 and -9.32.\nAnswer: 1105.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -88, 8, 463, 0.1?\nAnswer: 463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 2*m**2 - 4*m + 44. Let r(y) = 3*y**3 - 6*y**2 + 11*y - 133. Let z(p) = 11*c(p) + 4*r(p). What is the derivative of z(u) wrt u?\nAnswer: 3*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 - 11942410.63.\nAnswer: -11942400.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(((-85)\/2975)\/(2\/(-7))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b5c (base 14) in base 7?\nAnswer: 42345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (22 + 11)*(-2)\/6. Let c = -9 - j. Suppose -c*p = -3*p + 6. What is the highest common divisor of p and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 - 20*n**2 + 4*n**2 + (0 + 0 - 1)*(-4 - n**2 + 4).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61718 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4775.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -321 and -65.\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 0 - 3*g - 7\/6*g**3 + g**2 - 5\/12*g**5 + 0*g**4. Differentiate u(i) wrt i.\nAnswer: -50*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 10 = 14. Let t(r) = -r**2 - r. Let v be t(0). Let l = 2\/377 - -732\/4147. Which is the third smallest value? (a) l (b) w (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2056131 and 117493200.\nAnswer: 822452400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or -25.8?\nAnswer: -25.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, -4\/9, 28, -2838?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - p**2 - p + 3. Let w be g(2). Sort w, 1, -4 in descending order.\nAnswer: w, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 3 + -6)\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 113 = 121. Solve 0 = 3*g + z - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 2*h + 6. Suppose -h*v - 44 = -7*v. Let z be -12 + (-85)\/(10\/(-2)). Solve 4*w + z = -v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 903 - 348. List the prime factors of y.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 83.093?\nAnswer: -332.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 80, 72, 70, 80, 108, 160, 242?\n\"Answer: l**3 - 3*l**2 - 6*l + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 235187191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/3 (b) 3 (c) 658 (d) -1050\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mtlblbmk. What is prob of picking 1 b, 2 m, and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107479.\nAnswer: 23, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a tonne in kilograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -350689 (base 11) to base 4\nAnswer: -2020001331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 64*o**2 - 349*o - 7. Determine y(-58).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2. Let r = -61 + 61. Let j(v) be the first derivative of r*v**2 + 0*v + 2\/3*v**3 + 3. What is j(w(i))?\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 16*w - 1691. Calculate i(105).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 8 = -4*h - 47, 108939*f - 108936*f = -3*h - 53 + 8 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/i**2)))\/i*i**(-8)*i**(-1\/4)*i*i\/(i\/((i*i**(-6))\/i*i)))**(-11) assuming i is positive.\nAnswer: i**(627\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 461184.\nAnswer: 461184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -0*v - 21 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clcxlclcccxllxxxy. What is prob of sequence lx?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12953307 and 0.961985.\nAnswer: -12953306.038015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 10\/(-5) - 1. Is 21 a factor of ((-4)\/(-5))\/(12\/2130) + z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 373982 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - w - 2. Let k(h) = -h. Calculate -4*k(l) + n(l).\nAnswer: 2*l**2 + 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18058 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -93*l - 7. Let u be (-2 - 2) + -5 + 1. Let t be a(u). Suppose 5*v - 1833 = t. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116541083 - -116546884.94068. Let z = -5787.94 + q. Let m = -14 + z. Round m to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 43. Let x(u) = 62*u**b + 2 - 2 + 23*u**2. Let j(q) = -2*q**2. Give j(x(m)).\nAnswer: -14450*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 105. Suppose l = 2*r - j - 120, 3*r = 8*r - 4*j - 306. What are the prime factors of r?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 245 - 5 = 0. Suppose -3 = -0*q - q. Suppose 0 = -q*j + 5*x - 10*x + 16, -2*j - 3*x = -12. What is the greatest common factor of j and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1919 take away -0.037?\nAnswer: -1.1549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -42*v + 46*v. Let k be (-7)\/(-21)*0 - -4*v. Solve 0 = -3*o - 0*o - k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j + 6. Suppose 6*c = c - 20. Is v(c) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**6\/120 - 11*q**5\/60 - 7*q**4\/12 - 2*q**3\/3 - 4*q**2. Let p be d(-10). Let b = -16 + p. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -7, 0.4, -1\/216, -9?\nAnswer: -1\/216","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/20)\/(12\/7440*-31)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q - 8. Let f(y) = -5*y + 12. Let x(k) = 5*f(k) + 8*n(k). Let b be x(2). Sort b, 0, 3.\nAnswer: b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 1142*v + 1142*v - 48 - 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10103113 + -200223?\nAnswer: -10310002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7966 - -4b?\nAnswer: -791b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -y - 8. Solve 6\/5*f**2 + 1\/5*f**y + 12\/5*f + 8\/5 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**2 + 6*s - 8. Let x be 6\/4 + 7\/(-2) + 4. Let i(m) = -8*m**2 + 5*m - 9. Let k(a) = x*i(a) - 3*j(a). Suppose k(l) = 0. What is l?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 850*k - 8 - 15.\nAnswer: 850*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 4. Let n = 2 + -2.2. Let j = n - -0.2. Which is the closest to j? (a) y (b) 5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 9:10 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.18? (a) 14 (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/11 (b) -94 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -27942452845.179.\nAnswer: -27942452844.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.69 + 16. Let s = -0.3081 + r. What is s rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2301432 (base 6) to base 4.\nAnswer: -130210130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4284 and 45.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12, 33, 44, 39, 12, -43, -132, -261?\n\"Answer: -l**3 + l**2 + 25*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 10:49 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1081 - 1071. What is the greatest common divisor of 1030 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36191 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j. Let y(f) = 191*f**2. What is o(y(n))?\nAnswer: 955*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j. Let o(b) = 9*b**2 - 4*b**2 - 2*b**2. Give o(v(i)).\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*n - 36 = 0, 32 = -5*b - n - 2. Let m(y) = 1. Let i(s) = s + 1. Let c(t) = -i(t) - 3*m(t). What is c(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 31 + 123. Let b(s) = -2*s - 28. Calculate the lowest common multiple of b(p) and 86.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 1:00 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 77 = -2*d. Suppose 0 = -13*x + 9*x + d. Calculate the greatest common factor of x and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*sqrt(156)\/sqrt(4) - sqrt(39))\/(sqrt(27)\/(sqrt(9) + sqrt(18)\/sqrt(2))))*-3.\nAnswer: -6 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29055 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 4, -3, 11 in increasing order.\nAnswer: -3, 0, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 2, -1\/2, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -4 - (1 - 5). Let s be (-48)\/(-9) + 2\/3. What is the highest common divisor of j and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*n - 3, -y + 2 = 2*n - 4. Let o be ((-12)\/n*1)\/(-2 - -1). Factor -o*d**4 + 0*d**3 + 9\/5*d**2 + 0 - 3\/5*d.\nAnswer: -3*d*(d + 1)*(2*d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 5*s**2 - 6*s. Let h be f(-4). Let c be (4 + -2)\/(2\/h). What are the prime factors of c\/(-28) + 86\/7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**2 - 25*s**2 + 10*s**3 - 51*s**3 + 36*s**3 + 32*s**3.\nAnswer: 27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 674166, 1348331, 2022494, 2696655, 3370814, 4044971?\nAnswer: 4719126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*t**2 + 1\/5*t**3 - t - 3\/5.\nAnswer: (t - 3)*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c**3 + 115*c**2 - 3*c + 3. Let b(d) = -7*d**3 + 115*d**2 - 4*d + 4. Determine 3*b(i) - 4*z(i).\nAnswer: 3*i**3 - 115*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3516203 - 78.170745.\nAnswer: 3516124.829255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 - 105*j**2 - 48*j - 271. Give n(53).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (939 - 935) + (1 + -38 - 3).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1397.923 + -1400. Let h = 0.023 - i. Let a = h + -2.2. What is the second smallest value in 0.4, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*12\/(-24))\/(3\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vviizivz. What is prob of sequence ii?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38765\/16 + -2424. Let a = 1079\/48 - k. Do a and 25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/2 in -5, 3\/20, -3?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130332120 - 2211?\nAnswer: 130323303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 53. Suppose 5*n = 4 + 21. Solve -a - n*d = -8, u = 3*a - 2*d - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 54\/10 - (-6)\/(-15). Suppose 10*b - n*b + 10 = 0. Let l be b + 24\/(-15)*-1. Is 1 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 2)*(-2*y + 0*y + 4*y) - 7710 + 7710 - 82*y to the form m*y + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -518000 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 295672 and -0.6.\nAnswer: -177403.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/63105 and 49\/345734265.\nAnswer: 2420139855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*x**2 - 72626*x + 13204.\nAnswer: 2*(x - 3301)*(11*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j + 28. Let z be l(-7). Sort -5, 3, z in descending order.\nAnswer: z, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 4:00 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*q + 10. Solve -2*k + 7*k = -q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 210*l + 834. Calculate s(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 54\/14 + 1\/7. What is the remainder when l\/10 - (-193)\/5 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7767540.\nAnswer: 2, 3, 5, 11, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-4) + (-1)\/(-2). Let p be 7\/b - 6\/4. Factor y - y**p - y**3 + 4*y**2 - 3*y.\nAnswer: -y*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 8. Let p be j(4). Let v(s) = -s**3 - 7*s**2 + 11*s + 9. Let i be v(p). Let n = 32 + i. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 0*2\/6. Let r = y + 0. Suppose -19 + 7 = -r*f. Solve f*z + 2*z - b = -14, -20 = 5*z + 5*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -16*f**2. Let g(j) = 1 - 3*j - 1. Let x(s) = -2*s. Let c(u) = 4*g(u) - 5*x(u). Give l(c(k)).\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27902 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 577330?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2207, -7262, -17995, -37244, -67847, -112642, -174467, -256160?\nAnswer: -360559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 7*c**2 - 99*c - 540. Let b be y(-5). Solve 10*v = -5*s + 6*v - 6, -4*s + b*v - 13 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7935 rounded to the nearest one hundred?\nAnswer: -7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/((-3)\/(-10)))\/2. Suppose -6 = -z*d + 4. Let t(o) be the second derivative of -o**5\/20 + o**4\/4 - o**3\/6 + 3*o. Calculate t(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14521121 = 4*c - 63702971. Let o = c + -33056024. Let d be o\/3 - (-2)\/6. Round d to the nearest one hundred thousand.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**5\/20 - i**4\/6 - i**3\/6 + 10*i**2. Give u(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*z + 13 = -6*b, 0 = 5*z - 20. Let r(k) = -3*k + 1. Let d be r(-6). Is 1*(d - (b - 3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:16 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102421*d**6 + 197*d**3 - 88745574*d**2 wrt d.\nAnswer: 12290520*d**3 + 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12046099?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 294 - 291. Suppose -9881 = -5*d + 2*z, 4*d - 7*z - 7900 = -y*z. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a3425 (base 11) to base 13.\nAnswer: -1927b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 2*z + 1. Let x = -12 - -12. Let s be n(x). Let v be -20*((-1)\/2 - s). Solve -5 = 5*o - v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 - 5*p**3 - 5*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 3*u**5\/25 + 69*u**4\/10 + 672*u**3\/5 + 6027*u**2\/5 + 5145*u - 731. Find h such that n(h) = 0.\nAnswer: -25, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, n: 4, m: 1, r: 2, l: 5}. What is prob of sequence lr?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -17. Let x(o) = -o**3 + 5*o**2 - o - 1. Give x(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11051, -22092, -33121, -44132, -55119?\n\"Answer: d**3 - 11048*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24309 divided by -6\nAnswer: -8103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 915, 2361, 3807?\n\"Answer: 1446*m - 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = -4*m + l, -3*m + 3*l - 122 = -17. Let u be (m\/24)\/(2\/(-6)). Differentiate -71*d + 71*d + 13 - u - 14*d**2 with respect to d.\nAnswer: -28*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -110881 + 2?\nAnswer: -11087b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6944672 and 3612.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390122 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41757390 and 1305?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = b - 7*k + 12*k, 3*k = -5*b - 15. Factor 2\/3*m + 4\/3*m**2 + b + 0*m**3 - 4\/3*m**4 - 2\/3*m**5.\nAnswer: -2*m*(m - 1)*(m + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -68*v**2 + 15563. Let o(m) be the first derivative of m**3\/3 - 1. What is o(x(i))?\nAnswer: 18496*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/((-17)\/34)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47104*r**3 + 3*r**2 - 1792*r - 6?\nAnswer: -282624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -930*o - 22 + 7 = -935*o. Solve -a + 4*a + 0*a = 0, 0 = o*n - 5*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 2\/19, 1\/44, 5.\nAnswer: 1\/44, 2\/19, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7013*f + 152. Let z(n) = n. Determine i(z(c)).\nAnswer: -7013*c + 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52719*l - 7625 = -53024*l for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + s = -7*d, 0 = -4*d - 2*s. Let n(u) = 0*u**3 - u**2 + 14 - u**3 - 10875404*u + 10875405*u. Determine n(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*k + 681 - 795 = 1636 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1538292*k**2 - 2 + 0 + 2 - 1538312*k**2.\nAnswer: -20*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13034 + 133?\nAnswer: -12501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 4*z + 1. Let x be b(-4). Suppose 5*k + 0 = -4*r - 1, 4*r = 2*k - 22. Suppose -2*n + x = -k. Solve q = 5 - n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 497*h**2 + 1357 wrt h?\nAnswer: 994*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*s = 780*s + 9180 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -343 + 332. Let i(m) = 2*m**2 + m + 49. Does 7 divide i(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + w + 2)*(4*w - w - 2*w) - 231618*w**2 - 3*w + 3*w + 225680*w**2 in the form l + x*w + p*w**2 and give p.\nAnswer: -5937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.018 - -0.018. Which is the third smallest value? (a) m (b) 3 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14672, -9084, -3508, 2056, 7608, 13148?\nAnswer: 18676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (1 + -4))\/(-1). Suppose 4*f + u + 4*u + 5 = o, -4*f + 45 = -5*u. Suppose -2*x + 3*i + 155 = 0, 3*x - 3*i = f*x - 185. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uggugguucrgcwguuurg. What is prob of picking 1 u and 1 w?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6767*c*i**2 + 33*c + 26*i**2 - 11754 with respect to c.\nAnswer: -6767*i**2 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24, -21, -12, 3?\n\"Answer: 3*j**2 - 6*j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**6\/480 - l**5\/160 - l**4\/16 + 39*l**3\/2 - 10*l**2 - 3. Let g(c) be the first derivative of x(c). What is f in g(f) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25\/(-5) - ((-6)\/2 + -1423). Let m = -17107\/12 + o. What is the common denominator of -131\/96 and m?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/6 + 3\/(-2). Suppose -19*f + 352 = 3*f. What is the remainder when (0 + x)*174\/(-6) is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -300*p + 30. Let o be t(-5). Suppose -5*r = -5*b - 1530, 15*r - 4*b = 20*r - o. List the prime factors of r.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/13588594 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 8664 and 4601278\/531 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 5*p**3\/3 - 11*p**2\/2 + 7*p - 25. What is the hundreds digit of o(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 362 and 129053?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -8*f + 32*f + k - 37 + 74, -k = 5*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -621?\nAnswer: 2\/621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 + 104. What is the third derivative of 104*v**w - 14*v**2 - 153*v**6 - 13*v**2 wrt v?\nAnswer: -5880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 - 1 - 31 - (2 - 2 - 9)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -35*p**2 - 2. Suppose 54*j = 42*j + 4428. Let u(h) = -363*h - j*h + 734*h. Determine w(u(t)).\nAnswer: -140*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**5\/100 + 4*u**4\/15 + 11*u**3\/6 - 36*u**2\/5 - 2*u + 11. Let p(q) = 0. What is q?\nAnswer: -9, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2\/2 + 2916*f + 2011971\/2 = 0.\nAnswer: -299, 2243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2345 + 3.7655. Which is the fourth smallest value? (a) 4\/7 (b) x (c) -2\/11 (d) 1\/550\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*m = -m + 376 + 1384 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -16. Suppose 4*j = v + 14. Solve -6*w = -j*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*c**2 + 51*c**2 - 26*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1657.8 + -1658. Which is the nearest to 1\/9? (a) -0.3 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 3*c - 87709 + 87753, 2*g + 5*c - 74 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 162497384 to the power of 1\/3, to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/3 - -1)\/(1\/(-6)). Suppose -5*z + r = -12, q*r = -4*z - r + 21. Let j(i) = 3 - z*i - 3*i + 8*i. What is j(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106638355?\nAnswer: 5, 19, 179, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1037422095 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1274, 2057, 2836, 3611, 4382?\n\"Answer: -2*u**2 + 789*u + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3564334031 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5\/8 + 12*d**4 + 2577*d**3\/8 + 6619*d**2\/4 + 6255*d\/2 + 2025.\nAnswer: (d + 2)**3*(d + 45)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 123*u**2 - u + 402 wrt u?\nAnswer: 246*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 5, -5372 in ascending order.\nAnswer: -5372, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 15 = 3*c. Let f(t) = t**3 - 3*t**2 + 3*t - 1. Let p be f(c). Suppose 4*x + 12 = p*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, -65094 in ascending order.\nAnswer: -65094, -9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6633, -4863, -1915, 2211?\n\"Answer: 589*d**2 + 3*d - 7225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 430 = -5*b, -152 = -2*i + 47144*b - 47126*b for i.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2 - 47*d*q**2 + 50*q**2 + q with respect to d.\nAnswer: -4*d - 47*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/1*(3 - 2). Suppose w - 10 = p. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -35102 and -35102 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45569?\nAnswer: 45569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 84 = -17*i. Solve -3*a + 7*a = 4*d, -2*d = -a + i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -17*y**5\/10 - 7*y**4\/24 + 7*y**3\/6 - 391*y**2. Let q(u) = -34*u**2 - 2*u + 2. Determine -7*q(t) + 2*r(t).\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72 * 2047.\nAnswer: 147384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -113 + 66. Let o = 52 + c. Suppose 0 = b + k - 4, -o*b - 3*k + 11 + 11 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 - 5)\/(-4)*-47. Suppose -52*c = -a*c. Let z be ((0\/(-5))\/(c + -2))\/(-1). Let r(u) = -u**3 + u**2 + 1. Determine r(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53124\/5592 - 2\/20 - 1\/(5\/2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(28) + 0 - (sqrt(7) + sqrt(14)\/(sqrt(10)\/sqrt(5))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/(n\/n**(2\/5)))\/n)**(3\/7)\/(n**(-1\/8))**15 assuming n is positive.\nAnswer: n**(99\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 26070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 10) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 1593, -2, -1223, -4 in descending order.\nAnswer: 1593, -0.9, -2, -4, -1223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20 (b) 65\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -158, -162, -166?\n\"Answer: -4*j - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 384920180 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*u + 35 = 1, -3*x + u = -36. Suppose -30 = -3*p + 81. Let a = p - x. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95644, 97999, 100352, 102703, 105052?\nAnswer: 107399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 6, j: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 1 (b) 37 (c) 2.2 (d) 0.5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 12*q**2 + q + 12. Let o be h(-12). Suppose 3*c - 74 = 2*y, o = -4*c - 0*c + 5*y + 94. What is the remainder when c is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 19. Let u = 42143 + -42146. Sort u, 5, j, -0.4 in increasing order.\nAnswer: u, -0.4, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/((-2*(-2)\/(-4))\/(248331\/(-1357))).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 - 32b3?\nAnswer: -3299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2\/11, -47 in descending order.\nAnswer: 1\/4, 2\/11, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 3*c - 2. Let g = 14 - 18. Let k be o(g). Let b(j) = -3*j**2 + 0 + 4*j**2 - 1 + 2*j**2 - k*j. Calculate b(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008096 to 4 decimal places.\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -43 times -2\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*g**6 + 9*g**4 + g**3 + 1777*g**2.\nAnswer: 5280*g**3 + 216*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (60\/16)\/(120\/117440)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/8613 and -29\/108.\nAnswer: 34452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 13*w + 65. Let l be k(10). What is the closest to 2.5 in 0.2, 3, l, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 2096 + 14*w - 2096.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -3598084.\nAnswer: -719616.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -17*k**6\/120 - 14*k**5\/15 - 59*k**4\/24 - 8*k**3\/3 - 3*k**2 - 13*k + 3. Find the second derivative of a(o) wrt o.\nAnswer: -102*o - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, 225, 1763, 4921, 10239, 18257, 29515?\nAnswer: 44553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**4\/4 + f**3\/3 - 7*f**2\/2 + 249*f. What is x(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (277*u**3 + 342*u**3 - 214*u**3)*(-u + 1 - 1)*(3 + 0 + 0) to the form l + b*u + z*u**4 + p*u**2 + q*u**3 and give z.\nAnswer: -1215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 23 - ((16 - -3) + 103)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b. Let p(k) = -6*k + 1. Let f(x) = -5*a(x) - 4*p(x). Suppose -211*m + 216*m = -3*u - 41, -4*m - 40 = 0. Let c(r) = 3*r + 2. Give u*f(y) + 5*c(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 34\/10 - (-9)\/15. Solve -f*y - y = -20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + d. Let v be x(0). Suppose v*l + 4*l - 20 = -k, 3*k + l = 38. What is the highest common factor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 0*h**5 - 1\/3*h**3 + 0*h + 1\/900*h**6 - 4*h**2 + 0*h**4 + 0. Let v(d) be the first derivative of i(d). Factor v(s).\nAnswer: 2*s**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -800 (base 15) to base 3\nAnswer: -2110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.912 - 1.412. Let r = -70.4 + 64. Let x = r + b. What is x rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 17432*m.\nAnswer: 2*m*(m + 8716)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6980886823786 - 1.\nAnswer: -1.6980886823786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(9\/2))\/((o**(-2\/3)\/o)\/o))\/(o**4\/o)**26 assuming o is positive.\nAnswer: o**(-473\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - -119 - (-2 - 0). Let c = -33 + b. Suppose 5*d = d + c. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 10. Let h be f(-3). Suppose 5*t - 127 + h = 0. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/21 - (-47)\/(-7). Let w = 18 + i. Let j = 466 - 428. Calculate the remainder when j is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p + 14 = 5*y, 4*y = 0. Let j be 5\/(-2)*2*p. Let x be (-19)\/j + 4\/10. Sort x, 0.3, 0.1 in ascending order.\nAnswer: x, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 38615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 46 = -u + f, -4*f - 72 = -4*u. Solve u*l - 11*l + 15 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d = 44*d - 42*d - 65088. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 533*h**2 + 0*h**3 - 533*h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 - (3 + (-1 - 9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(7\/36) - 4. Let r be (-6)\/27 + f\/(-18). Let b = 4\/3 - r. Sort b, 3\/4, 5 in decreasing order.\nAnswer: 5, 3\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -829367270 divided by 24393155?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**2 - 796*c - 3248 = 0 for c.\nAnswer: -4, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -11. Let o be ((-2)\/k)\/((-44)\/55). What is the smallest value in o, 3, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1404 (base 5) to base 15\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(1216) + 1)**2 + (sqrt(1216)*-2*-4 - -2*sqrt(1216)*-6).\nAnswer: -128*sqrt(19) + 7302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -4 + 15 + 3 - -5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 2*v - 3*o, -4*o = -30*v + 33*v - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 98. Suppose -23*q + z = -18*q. Solve 0*p - p - 3*m - q = 0, 2*m = p - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -179 divided by -13\nAnswer: 179\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 158*n + 11. Let a(f) = 79*f + 5. Let v(p) = -11*a(p) + 6*k(p). Let o be v(1). Calculate the greatest common divisor of 45 and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 0 + -24 + 24. Let r(h) be the first derivative of 4 - 6*h - 11\/3*h**3 + f*h**2. What is the first derivative of r(a) wrt a?\nAnswer: -22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696240507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10 = 3*i - 0*i, 2 = i + f. Suppose -4*l - 24 = 4*n, 5*n - 2*l + 12 = n. Let q be (2 - i) + n\/4. Sort 0, -2\/15, q.\nAnswer: -2\/15, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 46 - 15 - 27 = -0*b - 2*b, -3*y - 5*b + 85 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16752*w + 33495*w + w**3 - 16743*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -278*w + 26686. Let g be m(96). Suppose 3*b = -o - 0*b + 293, 2*o + b = 596. Put 2, o, g in increasing order.\nAnswer: g, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 129.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2080406 is divided by 693467.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h**3 + 33*h**2 + 18*h = 0. Calculate h.\nAnswer: -3, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 184 + -185. Let h(g) = g + 1. Let f(c) = 2*c**2 + 8*c + 9. Give x*f(s) + 6*h(s).\nAnswer: -2*s**2 - 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 895143211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 450 = 2*c. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2607323.3 to the nearest one thousand.\nAnswer: -2607000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14264\/2245 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36 and -1345.5103?\nAnswer: -48438.3708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3867*i + 3830*i + 1924 = 0 for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/65 - 630\/130.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqu when three letters picked without replacement from eqyeeeqeeeemqheyeqqu.\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 2*x - 129, -4*x + 35310 = -5*z + 35457 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507388 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 199 = -59. Solve 33 = -5*y + t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 31*i = -38*i - 396 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -4*a - 4*z, -2*a - 61 = 4*z - 3*z. Let c be (-30)\/a*18\/30. Is 1 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-910716)\/(-464))\/((-3)\/(-4)). Suppose 2615*i + 6 = v*i. Factor 1\/4*w**i + 1 - w - 1\/4*w**2.\nAnswer: (w - 2)*(w - 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 402*x**2. Let o(p) = 46*p - 1. Determine o(r(y)).\nAnswer: 18492*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c**2 - 3*c**2 - 3*c**2)*(-3*c + 3*c + 3*c)*(0 + 0 - 4 - 2 + 7 + 0 + (1 + 2 - 2)*(1 + 4 - 3)) to j*c**2 + p*c**3 + l + h*c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 10222122210?\nAnswer: 10222122133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207405853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.253757 plus 0.0539?\nAnswer: 0.307657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 2*a + 3*a)*(a - 3*a + 0*a) - 20*a + 20*a - 7*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 164127.2787ns?\nAnswer: 0.00000000027137446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1258\/111 + ((-8)\/(-6))\/2. Let v be (2 - (0 - -2)) + 72. What is the greatest common divisor of v and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 26*w + 10. What is the remainder when b(-23) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315.1587 millilitres to litres.\nAnswer: 0.3151587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -410*v - 57 + 140*v + 129*v + 130*v to n*v + w and give w.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 6 - 5 - (-1 + 10 + 19).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.25 + -17.75. Let f be 4\/(-6) + (-37)\/(-51). Which is the third biggest value? (a) x (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 42 = -14. Suppose 48 = 4*a - 112. Suppose 0 = 4*f - a + 16. Calculate the lowest common multiple of f and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aah when three letters picked without replacement from {h: 1, u: 4, y: 6, a: 2}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -45ed7 (base 15) to base 16\nAnswer: -36607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 12. Which is smaller: g or -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 3:29 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19931 + -219190\/11. Find the common denominator of l and 43\/107.\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 90\/(-14) - (21 + -27). Sort m, 4, 0.102 in decreasing order.\nAnswer: 4, 0.102, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 489841\/2928275 - -3\/14425. Find the common denominator of -77\/2 and j.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, g: 3, d: 3}. What is prob of picking 1 d and 3 g?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 2\/15 (c) -0.5 (d) 3\/45895 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 588079508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 4:16 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 2) + 2 + (0 - -3) + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 202547659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 10:57 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29561, -29541, -29497, -29423, -29313, -29161, -28961?\nAnswer: -28707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252959877 is divided by 1049626?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(((g\/(g**7*g))\/g*g)\/g))**21)**(-1\/21) assuming g is positive.\nAnswer: g**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-380)\/440 - ((-3)\/2 + 1). Let h be (-4)\/(-5)*45\/(-9). Let b be (-2)\/4 - 6\/h. Which is smaller: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.011, -3, 0.171?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2 - 2*c + 2. What is the tens digit of d(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16870 - -2.8522?\nAnswer: 16872.8522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2659001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4\/9 + 106*j**3 - 322*j**2\/3 - 4786*j\/9 - 956\/3 = 0.\nAnswer: -478, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 12 + 2 = 2*t, l + 3*t + 10 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 36 + 4 - 19 - 3*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 23*r - 2. Let z(j) = -j**2 - 27616*j. Give f(z(s)).\nAnswer: -23*s**2 - 635168*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 3. Let u be j(0). Suppose 14 = 5*m - 4*d, -2*m - 4*d - 6 = -u*m. What is the first derivative of 9 - m*g - 4*g - 5 wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12298792984 - 7002840578. Let v = -5295952361.00000058 + s. Let d = 45 - v. What is d rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 41 - (21 + (0 - 11))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**3 - x**2 + 3. Let p(z) = z**3 + z**2 + 1. Suppose 9 = -w - 2*w. Let u(j) = w*p(j) + r(j). Find the third derivative of u(c) wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16260 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*u**6 + 33*u**5 - u**4 + 2*u**2 - 223*u.\nAnswer: -4440*u**3 + 1980*u**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 389598 - 227088. Let c be (6\/4)\/(15\/s). Suppose 3*p - 4*p = -5*v + c, -2*v - 3*p + 6514 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 446367, 446262, 446157, 446052, 445947?\n\"Answer: -105*c + 446472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 24*w = 26*w + 8, -4*p - w + 11 = 0. What is the nearest to 1\/2 in 0.25, p, 4\/3, -3?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -435 - 3035?\nAnswer: -346a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3, 5*p + q = 2*q + 24. Suppose d - 3 = p*g, 2*g = -2*g. Let c(o) be the third derivative of o**5\/30 - o**4\/6 - 30*o**2. Determine c(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*u. Suppose 4*w - w + 12 = u. Put 4, 5, w in decreasing order.\nAnswer: 5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (-33 - -10) - (-22 - 3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -187.83085 and 0.04.\nAnswer: -7.513234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79707*b**4*f**3 - 12*b**3*f**3 - 2*b**2*f**3 - 47085*b**2 + 12*b*f**3 wrt b?\nAnswer: -1912968*b*f**3 - 72*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 810768 = 3*s. Let l = 540288 - s. Let i = l + 29968. What is i rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 1:01 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {y: 5, p: 2, x: 4, t: 1, z: 2, f: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15212 - -21432. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = -3*l + 6, -4*m = -20. Solve l*b - 18 = -2*o, -4*o + 4*b = -o + 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 3*n**2 - 13*n - 13. Let k be r(-5). Suppose -3*g - w = -205, -2*g = -0*g + k*w - 134. Calculate the remainder when g is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 - 36*k**2 + 34*k + 15. Suppose 0 = o - 3*p - 23, 3*o = -4*p + 61 - 18. Calculate the remainder when 149 is divided by h(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 479 or 4319\/9?\nAnswer: 4319\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/10*(-1738)\/1501?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 24*h**2 - 24*h - 15. Let j be l(-23). Suppose 5*i - j*i = -3237. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**4 + 0*v**4 + 3*v**4)*(0 - 1 + 2)*(0 + 1 + 1) as z + u*v + s*v**2 + b*v**4 + t*v**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20101121 + 1002212?\nAnswer: -12021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -545 - -375. Let i = -169.8 - q. Let n = 93 + -461\/5. What is the smallest value in n, 0.5, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 126258452 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 361 and 6019048?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**3 + 6*n**2. Let i be w(2). Suppose o = -2*h + 4, 8*o - 3*o - 4*h = 48. Let g be (7 - o) + (-70)\/(-74). Which is smaller: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*d**2 + 250*d**2 - 499*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-2\/21)*j*j*j*j**(-25)\/j*j*j assuming j is positive.\nAnswer: j**(-422\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.7 - 6.7. What is the third smallest value in -1\/3, -0.3, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 2*p - 11, 13*p + 12 = 16*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -532, -1519, -2506?\nAnswer: -3493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14715*x**3 - 32214*x**3 + 17503*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1244 (b) 1 (c) 2\/11 (d) -13.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 8*g + 2. Determine r(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 29, 1, 2.\nAnswer: -1, 1, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 1, -2.85, -2\/3?\nAnswer: -2.85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (8 - 1) - 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9175208, -9175206, -9175204?\nAnswer: -9175202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 divided by -3?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 0*l + l + 0*l - 13. Let t(p) = -6306 + 6306 - 3*p. Calculate a(t(x)).\nAnswer: -3*x - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 + 17*r - 17*r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 12:40 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 5*t - 10 = -i, t = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5 = 3*o, o - 80 = -5*h. Let v be (-1 + 4 - 2) + h. Suppose r - v = -0*r. Calculate the remainder when r is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 5*h**2 - h - 3. Let x be i(-5). Suppose o - x = 3*y + 23, o + 5*y - 49 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 33*a**2 + 44*a + 1. List the prime factors of k(-25).\nAnswer: 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10415767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1526538?\nAnswer: 2, 3, 13, 19571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -52.\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -83*u + 3692. Let j(i) = -24*i + 1230. What is -7*j(m) + 2*k(m)?\nAnswer: 2*m - 1226","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-5))\/(24\/(-80)). Let t be 5*-3*g\/15. Solve 14 = 4*m + 2*a - t*a, -2*a = -3*m + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4817*j = -4811*j - 4266. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247745572 to the power of 1\/3, to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = -7*d + 228 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*c = -38, 0 = 2*z - 5*c + 11 + 2. Let f = -6 + z. Find the second derivative of 3*h**4 - 2*h**4 + f*h**4 + h wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15434 (base 6) in base 7?\nAnswer: -10261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewjzjekekeyke. Give prob of sequence zwe.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 7*d**2 + 7*d - 4. Let g = 6 - 0. Let y be o(g). Let z be 0\/((-3)\/(-5 + y)). Solve 3*n - 2*i + 3*i = 7, z = -4*n - 5*i + 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27548 - 129?\nAnswer: -27676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -146 bigger than -146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3531)\/660)\/(-107))\/((-2)\/(-4)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10 = -3. Which is the third smallest value? (a) u (b) -1\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**2\/i)\/i**1)**(-4\/17))**(3\/11) assuming i is positive.\nAnswer: i**(-12\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1569, -6081, -13595, -24105, -37605, -54089, -73551?\n\"Answer: n**3 - 1507*n**2 + 2*n - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*q - 16, 0 = -3*x + 6*q - q - 5. Let g = x - -9. Calculate the least common multiple of g\/10 + 324\/15 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35979, 71952, 107921, 143886, 179847?\nAnswer: 215804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -0.03842 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**3 + f**2 - 2 + 2*f**4 - 5*f**4 + 9*f**4 - 2*f**4 - 2*f as k*f**2 + y*f + a + t*f**4 + u*f**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2684428.\nAnswer: 2, 113, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779761 is divided by 257?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1325 divided by 5\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188 or 191?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1671535, -3343070, -5014605, -6686140, -8357675, -10029210?\nAnswer: -11700745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhlytmf. What is prob of sequence tml?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 525 + -301. Let i = -233.6 + t. Round i to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a + 5. Let u(q) = -q - 5. Let z(d) = -2*c(d) - 3*u(d). Let o be z(0). Suppose o*f - 537 = 2*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-6))\/((-3)\/9). Let q be 1\/w - -39 - 3. Is q\/(-2)*(-28)\/35 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -65 + 475c53?\nAnswer: 475bdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k - 1476 = -130*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 5. Let v = 15.79 - 20.79. Which is the biggest value? (a) 10 (b) m (c) v (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145*n - 150*n + 302*n + 0*n - 3*n - 2*n + (-3*n + n + 4*n)*(4 - 3 - 3) to the form p + a*n and give a.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 - k - 186. Let u(i) = -2*i**2 - i - 185. Let w(q) = -6*b(q) + 5*u(q). Let n(h) = -h**2 + 8*h - 7. Let d be n(7). Is w(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 15. Calculate j(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6. Let f(g) = g**2 - 22. Let k(b) = 6*f(b) - 22*y(b). Let j(m) = -3*m. Calculate j(k(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 e when four letters picked without replacement from ebibbbeub?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 12772177062.\nAnswer: 12772177061.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 8:48 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 4*f = -300. Let z = -23 - f. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3865*y - 7. Let m(w) = -1. Let d(u) = -c(u) - 3*m(u). Let q be d(6). Suppose q = -5*b + 6*b. Round b to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1146 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2632, -2629, -2626, -2623?\n\"Answer: 3*c - 2635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Let w be (68\/(u + -4))\/(-2). What is the highest common divisor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 959671.8 millilitres in litres?\nAnswer: 959.6718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1265616 and 15468640.\nAnswer: 139217760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1463521799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1661473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393.8223 months to years.\nAnswer: 32.818525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2839726*p**6 + 5*p**3 - p**2 + 1218*p - 1463?\nAnswer: 340767120*p**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.58 - 1.138. Let j = b - 0.012. What is j rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooofoofofoo. Give prob of picking 1 f and 3 o.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7698 + ((-4)\/10 - (-84)\/60). Suppose -13*i + z = 2785. Is 27 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 44 - 16 - 158*z in the form j*z + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - 1*sqrt(1224)) + (sqrt(136) - sqrt(136)*-2)\/sqrt(4))\/((sqrt(2) + sqrt(512))*-6).\nAnswer: sqrt(17)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -460 divided by -16\nAnswer: 115\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 27863803960+-3863\nAnswer: 27863800097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15319963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16332 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -6*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2003 + 230032?\nAnswer: 222023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -655, -632, -591, -532?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 + 16*w**2 + 1456*w + 2816 = 0. What is w?\nAnswer: -16, -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - a - 1. Let z(k) be the second derivative of -2*k**4\/3 - k**3\/2 - 2*k**2 + 185*k. What is -6*y(g) + z(g)?\nAnswer: -2*g**2 + 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 19.1 and 1019.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 3, -4, -2, -12.\nAnswer: -12, -4, -2, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2054383 is divided by 263.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*t**3 - 9*t**3 + 11*t**3)*((-4*t + 10*t + 9*t)*(3 + 0 - 4) + 2*t + 8 - 8) in the form j*t**2 + y + i*t + r*t**3 + z*t**4 and give z.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 4*v, -77*w - 20 = -162*w + 86*w + 2*v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.099042 micrograms in tonnes?\nAnswer: 0.000000000008099042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (656*k**2 - 84018 + 84018)*(-k + 4*k - 5*k).\nAnswer: -1312*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 16 = 2*v. Suppose 4*l = 2*l + v. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16197*j**3 - 8028*j**3 - 8131*j**3.\nAnswer: 38*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31939180?\nAnswer: 2, 5, 7, 13, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/8*u**3 - 3*u + 0 + 23\/8*u**2.\nAnswer: -u*(u - 3)*(5*u - 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4))**(-3)*y**(-2\/19)*y**(-1))\/((y\/y**(-1))**(-14)\/(y**6*y\/(y\/y**3*y))) assuming y is positive.\nAnswer: y**(2709\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 992 or -1?\nAnswer: 992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 5:25 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**7\/105 + r**6\/72 + r**5\/24 - 5*r**4\/8 + 2*r**3\/3 - 9. Let d(j) be the third derivative of c(j). Is d(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, e: 2, n: 1, h: 2}. Give prob of sequence hern.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaoqkkzkzkzkokkkqq. What is prob of picking 3 z and 1 k?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(1\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/13884134 and -29\/414.\nAnswer: 124957206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, p: 4, u: 1}. Give prob of picking 1 u and 1 p.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s. Let m(n) = 27408*n**2. What is m(z(f))?\nAnswer: 1342992*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 605549.07 * 3.\nAnswer: 1816647.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b9 (base 13) in base 14?\nAnswer: -796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(6\/(64525 + -7)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -45. List the prime factors of y\/(-70) - (-86)\/5.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 11. Let n be y + 4*(-3)\/(-6). Solve -4*t + n = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 344874074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f. Let o(l) = -51*l - 2. What is o(y(z))?\nAnswer: -153*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -3)*(5 - 4)*-2. Suppose 0*v + q = -2*v + 1, -h*v = 4*q + 14. Solve -2*n + 2*z = 4 - 10, 3*z + v = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38231.6356 rounded to the nearest ten?\nAnswer: 38230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 23*c + 159. Let w be p(-12). Calculate the greatest common factor of 18 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 3, 136, -139, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*r - 319*r + 5557 = -8707 - 1876 for r.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/8 (b) 0 (c) 2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**2\/4 - 23317*l\/2 + 543682489\/4 = 0.\nAnswer: 23317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15271 + 488573\/32. Suppose -2*x + 6*s = s - 19, 19 = -3*x - 2*s. What is the common denominator of 213\/54 - (-2)\/x and a?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7470 and 0.2777.\nAnswer: -2074.419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 10. Let w be f(-8). Suppose w*t = -3*t + 10. Let n(z) = z**3 - 3*z**2 + 1. Determine n(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -5*y + 66 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10626 is divided by 94.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02373987193 to four dps.\nAnswer: -0.0237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((2592\/224)\/(-9))\/(2\/(-84))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 244, 3\/2, 1, -2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 62*b**2 - 38*b**2 - 26*b**2. Let w = 60 - 34. Let s(o) = o**2 + 26*o - w*o. Give s(p(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -193 - -253. Let v be 8\/(-6) - 13\/((-234)\/w). Suppose -25\/3*p**3 + 19\/3*p**v + 1\/3 + 16\/3*p**4 - 4\/3*p**5 - 7\/3*p = 0. Calculate p.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0*u**2 + 3*u**4 - 2*u**3 + 7*u**2 - 5*u**2 - u**2 in the form w + i*u**4 + m*u**3 + y*u + t*u**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-1))\/(-5) + (3 - -2). Let c be -21 + w\/((-9)\/(-3)). Is -19 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 17*m**2 + 36*m - 34. Let i be n(-19). Let b be (-30)\/(-5) + -7 + 17. Solve i + b = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48737661 and 11313?\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(sqrt(360)*-5 + sqrt(360)))\/(6*-5*sqrt(8)).\nAnswer: -2*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*f - 5*r, -5*f + r = 6*r + 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 677753.1 millilitres?\nAnswer: 677.7531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -1. Let a = 66 + -30. Suppose -2*u - 2*x + a = -v*x, -u + 21 = -4*x. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -48 (b) -0.3 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 h when three letters picked without replacement from qqqhhhwhhhhqhqhhhq.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 0.4, -0.5, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 - (1983 + -2020 - (0 - 16))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1293 + 760. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2*2\/(-4)*(-15054)\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b44 (base 13) in base 9?\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/756*-7*(-99)\/(-6). Let a(x) be the second derivative of -1\/2*x**2 - 1\/3*x**3 - 7*x + 0 + n*x**4. What is a(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 1bc240?\nAnswer: 1bc23c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24719274 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 - 1 = 0. Suppose 2 + 2 = -h. Let w be 2 + h + (-16)\/(-4). Solve w*f = 4*l - 14, -3*l = 5*f + z + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 10*x - 88. Suppose -3*p = 3*s + 2*p - 145, -5*s + 3*p = -185. What is the greatest common divisor of s and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 2:34 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 514 = -n + 2*k, -4*k = -4. Find the second derivative of n - 3*r**3 - 516 - r wrt r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45777?\nAnswer: 3, 15259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9577*d - 2996 = -9605*d. Solve 34*g - 165 = d for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 761521, 761468, 761381, 761260, 761105?\nAnswer: 760916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -10. Find the common denominator of z\/(-6) + 1 + 97\/(-4) and -75\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001111 - 11?\nAnswer: 1001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 82?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37927 - -37943. Let h = 1 + 2. Suppose 2 = h*y + 2*x - 2, 3*y - 5*x - 11 = 0. What is the highest common factor of f and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -26. What is the nearest to -2\/5 in -2\/3, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1285165902 and 283.\nAnswer: -1285165619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m**2 - 36*m - 408. What is the units digit of s(37)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 0) + 1*-9. Let i be (-19)\/7 - (-18)\/(-63). Let a be i\/(o\/(-10506)) - -2. What is a rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*l - 45*l - 1157 = 667 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7284 a factor of 4433896943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2838, -5678, -8518?\n\"Answer: -2840*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 331*q + 1392. What are the prime factors of j(51)?\nAnswer: 3, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 3087?\nAnswer: 30870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -443\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -213, -483, -935, -1629, -2625, -3983?\nAnswer: -5763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8*((-1232)\/(-99))\/28?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 36?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4 = 14. Let i(d) = -11*d. Let j(k) be the third derivative of 11*k**4\/24 - k**2. Let a(w) = q*j(w) + 3*i(w). Let o(n) = -n. What is a(o(h))?\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83980789 is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b + 23. Let s be t(-4). Let q be (-2)\/6*s + 5 + -5. Are q and 9\/31 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1135*k**3 + 6*k**2 - 7*k + 2. What is p(1)?\nAnswer: -1134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(77)*5 + sqrt(77))\/(sqrt(1331) + (-1*sqrt(1331) - sqrt(1331))).\nAnswer: -26*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.53 times 354.471\nAnswer: 187.86963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 590478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18441 - ((-5)\/3 + 1)\/((-488)\/732)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 - 6*l - 6. Let g be ((-2)\/3)\/((-8)\/(-12)). Let z be a(g). Find the second derivative of m**3 - 3*m - 191*m**5 + 189*m**5 - m**z wrt m.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3605 + -3609.1426. Let k = -4.1 - b. What is k rounded to 3 dps?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*x = 98*x + 85*x + 480 + 39315 for x.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -897 + 905. Calculate the smallest common multiple of 302 and s.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 8:32 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.46*2.599644\nAnswer: 1.19583624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.9 (b) 0.092 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i = -58 + 196. Let w(t) = 3*t + 16. Let z(l) = -l - 5. Let s(n) = 3*w(n) + 8*z(n). Determine s(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 532, 544, 558, 574?\n\"Answer: s**2 + 9*s + 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 4*k - 181*k**2 + 206*k**2 - 4*k + 546*k**2.\nAnswer: 571*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-11))\/((-2)\/16*-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -176, -178, -182, -188, -196?\n\"Answer: -n**2 + n - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (100\/(-6))\/(9\/(-27)). Suppose 0*q + 5*q - z = 0. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*c - 3*k, -3*c + 37 = -3*k + 2*k. Suppose c*a = 9*a + 30. What is the second derivative of a*m - 1 + 10*m**2 + 5 - 4 wrt m?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from ssssfffs?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 less than or equal to 310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajda when four letters picked without replacement from jjajaeajjuaaaujdaeja.\nAnswer: 49\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {g: 2, d: 1, r: 4, a: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 37*x + 34. Give v(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 - 2 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7839077, -7839075, -7839073?\nAnswer: -7839071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1597\/3 + 533. Let g be -3 + 1 - (-3 - 1). What is the biggest value in g, a, 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 z when three letters picked without replacement from tzrzttitzzrlr?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -158*n + 164*n + 5*s - 46, -4*s = 2*n - 34. Suppose 3*q = -2*q + 10. What is the greatest common factor of q and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 32 = 3*q. Let x = -6 + q. Suppose 0 = -l + 3*l - 3*c - 4, 6 = x*l - 2*c. Calculate the remainder when 14 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1895 and -0.04.\nAnswer: 1894.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/5 - 58366*r**3\/5 - 350124*r**2\/5 = 0. What is r?\nAnswer: -29177, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8496\/295*2750\/1760.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 6, -0.5, 4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**3 - 80*g**2 + 43900*g + 1660560 = 0.\nAnswer: -74, -44, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -14*y**3 - 3*y**2 - 4*y - 2. Let j be q(-1). Let w = 78 - 66. Let d = j - w. Solve -r = -d + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 5 - 18*r - 3 as v + p*r and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-10))\/(1344\/11520 - 1\/4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.6012367nm?\nAnswer: 0.0000000000006012367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(2695) + sqrt(2695) + sqrt(2695))*6 + sqrt(2695))*6)\/((1*-2*sqrt(99) + sqrt(99))*2).\nAnswer: -49*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j + 3*j + 10*j + 4*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 40*r**2 + 1. Let i(k) be the first derivative of -k**2\/2 + 52. Give i(g(q)).\nAnswer: -40*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4 = 2*t, -4*u + 0*t = -3*t - 1. Sort 56, u, -4 in decreasing order.\nAnswer: 56, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from oooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1617900 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-9*8\/48)\/((-9)\/15)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 + m - 223. Let p(t) = t. Let x(k) = l(k) - p(k). What is the first derivative of x(d) wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 4:15 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/(-9))\/(-5 - -4 - (-11)\/33)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 8587567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 19 - (6 - 6)\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 23231.61 centuries?\nAnswer: 232316.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*d - 2*v - 64, d - 4*v - 31 = 0. Put d, -2, -5 in increasing order.\nAnswer: -5, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/12*(-36)\/(-16). Let v(a) = -a**2 + 12*a - 14. Let c be v(11). Calculate the lowest common multiple of (c - (-3 + 2)) + n and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 8\/40 - (-158)\/10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12382353*o**3 + 9999253.\nAnswer: -37147059*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 4*t - 8. Let m be n(6). Let z be m*(4 - 24\/4). Does 10 divide -4*6\/(-8) - z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five quarters of a day?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 135*p + 47*p**2 + 0 + 0 - 52*p**2.\nAnswer: -5*p*(p - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 39 - 69 = 0. Let f(m) = -1 + m**2 - 2*m**2 + j - 4*m. Let n be f(-6). Is n equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**6\/21 + 8*m**5\/7 + 43*m**4\/14 + 44*m**3\/21 + 60. Suppose o(y) = 0. Calculate y.\nAnswer: -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218638 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -363 + 358.91. Let m = v - -0.09. Let k = -0.193 - 2.807. What is the nearest to -1\/5 in -0.1, k, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 10. Suppose -15 = -5*c - 5. Suppose 0 = s - c*s. Does 7 divide z(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9641858 is divided by 417.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-5060)\/(-90) - 56)\/(2\/234)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 20, 3, -8 in decreasing order.\nAnswer: 20, 3, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 10:00 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 1\/2, 5, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2643*h**4 - 778*h**2 - 1 wrt h.\nAnswer: 63432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1610.\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011100000111 + 100010110110?\nAnswer: -100111001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 11:03 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*((-16)\/(-66) - (-33)\/(-99)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 3155846?\nAnswer: 110454610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**2\/5 + 1237*j\/5 + 10038 = 0.\nAnswer: -1195, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a59 (base 11) in base 16?\nAnswer: 435e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 8213519 - 8213519 - 2575*n as g*n + o and give g.\nAnswer: -2575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u - 5*i = 0, -4*i = -u. Suppose u = -m - 4*z - 0*z + 7, 3*z = 0. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 24. Let n = -19 + p. Sort -1\/6, 2\/3, n in increasing order.\nAnswer: -1\/6, n, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/11 + 80*a**3\/11 + 82*a**2\/11 = 0.\nAnswer: -1, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78314 is divided by 2060.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 + 139618890*l - 139618890*l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4477 - -4475. What is the closest to g in 3, 0.1, -47?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1906 - -1912. Sort m, -5, 13 in decreasing order.\nAnswer: 13, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266695 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -0.2. Sort 0.3, r, 0.1 in decreasing order.\nAnswer: 0.3, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*x - 7, -3 = 5*w + 2*x - 19. Suppose d - w*d = -127. Does 38 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*p - 101*p + 15*p**2 + 21*p**2)*(-18 + 10 + 16)*(1 - 2 + 2)*(-1 + 5 - 5).\nAnswer: -288*p**2 + 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -161 times -5109.897\nAnswer: 822693.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2117 = 4*j + 3*d, 4*d + 1052 = 2*j + 12*d. List the prime factors of j.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22122 is divided by 282?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 478571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, b: 1, m: 9}. Give prob of sequence hb.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 + 4091930*x\/3 + 4185972781225\/3.\nAnswer: (x + 2045965)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 862489131?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*j + 25 = 5*h - 72*j, -3*h = -4*j + 8. Solve h*z = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 16093 (c) -1\/3 (d) 4\/7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 - 44.1. Let v = j + -45.6. Which is the nearest to -2\/7? (a) v (b) -6.8 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 11, 3700, -0.8 in increasing order.\nAnswer: -0.8, -2\/7, 11, 3700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1118531, 1118530, 1118529, 1118528, 1118527?\n\"Answer: -j + 1118532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(-3)\/c))\/c**(-2\/5))**50)**8 assuming c is positive.\nAnswer: c**1760","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*f - 772 + 763, 0 = 5*f - 4*a - 23. Which is smaller: f or -2\/60243?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 314 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/35 - (-4)\/(-14). Let z be 10 + -1 - (2 + j). Suppose 96*u = 6534 - 1158. What is the highest common factor of u and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 247*m + 1676 + 547 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 3 - 3 + 4 - 2 + (5 - 2 - 5)*(-3 + 4 + 0) + 2 - 4 + 1 + 3 - 5 + 1 + 2 + 0 + 1)*(-203*v + 99*v + 21 + 108*v) to the form c + b*v and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7617, -14998, -22379, -29760?\n\"Answer: -7381*u - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5586 + 14545. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5484905 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109 - -535. Let o(l) = l**2 + g - 426. Let u(r) be the second derivative of r**3\/3 + r. Determine u(o(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0 (b) -18 (c) -5\/4 (d) 5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -958+-6677.7\nAnswer: -7635.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d + 5. Let x(z) = 5*z - 6. Let w(l) = -3*m(l) - 2*x(l). Let s be ((-77 + 23)\/27)\/((-1)\/2). What is w(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3)*((u\/(u*u**(2\/5)*u))\/u)\/u)**17)**(22\/3) assuming u is positive.\nAnswer: u**(-15334\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6*o**2 - 2*o. Suppose 2*n = -4 - 10. Let r(s) = -11*s**2 + 2*s. Let a(p) = -11*p**2 + p. Let f(j) = -6*a(j) + 5*r(j). Determine n*g(u) - 4*f(u).\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*n, 0 = -5*i - 2*n - 0*n + 624. Let b be (-28)\/49 - (-100)\/i. Find k such that -2\/9 + 2\/9*k - 2\/9*k**3 + b*k**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggrzggrigggrigrggr. What is prob of picking 1 g, 1 z, and 1 i?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-10)*4\/3. Suppose -3*n - l*g = -52, 2*n + n + g - 47 = 0. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1392 - 0.14. What is a rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 31 = -c, 3*c = 2*s - 4*s + 93. What is the remainder when c is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 97604 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**6\/3 + 24*x**5\/5 - 21*x**4 + 88*x**3\/3 - 15*x**2 + 1792. Solve i(k) = 0 for k.\nAnswer: -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/4)\/(18\/(25056\/(-2030)))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6320\/552 + -5 + -6 and 31\/54.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-7)\/6)\/(-7)*(-12)\/(-32)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c - 25. Determine k(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, a: 6, y: 4, i: 1}. Give prob of sequence inna.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-36)*6\/4*-2. Does -3 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(48)\/(-1*sqrt(18)))\/(sqrt(72)\/((sqrt(9) - (sqrt(9) + (sqrt(9) - sqrt(81)) - sqrt(9)))*-4)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 195 - 49. Suppose z = a - 34, -5*z + 58 + 68 = 3*a. Calculate the remainder when r is divided by a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -3.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 367642 divided by 1966\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21166124 + 13?\nAnswer: -21166111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4 - -2.7. Let x = 817 + -814. Sort x, g, 4.\nAnswer: g, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/3 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2112*q**3 - 6712*q**2 + 1124*q - 48. Let y(r) = r**3 - r**2 - r. Let n(f) = p(f) + 4*y(f). Find x, given that n(x) = 0.\nAnswer: 2\/23, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -179 at least -16896\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-55))\/((-8)\/(-4)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bww. What is prob of picking 2 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273 = -189*f - 153*f + 753 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -4*r**2 + 3*r + 338. Let u(t) = -t - 1. Let z(o) = -4*o - 6. Let j(f) = 5*u(f) - z(f). Give 4*j(h) - y(h).\nAnswer: 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 7 + 24)*(-6 - 4*z + 6).\nAnswer: -116*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + 188\/8. Let z(i) = i + u - 23. Let w(r) = -4*r. Calculate z(w(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.6 - -9.6. Which is the second smallest value? (a) k (b) 2\/7 (c) 0.4 (d) 4\/7 (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 20\/3*x**3 + 13\/30*x**5 + 43*x**2 + 0*x + 0 + 0*x**4. Differentiate r(z) wrt z.\nAnswer: 52*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 205591.91 to the nearest 1000.\nAnswer: 206000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 12:30 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.374 rounded to 1 decimal place?\nAnswer: -19.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 + -11?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2111 + 224 = -2*x, s - 2338 = 3*x. Does 137 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 less than or equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14085 - 7901683\/561. Let p = 1699\/4488 - g. What is z in 9\/8*z**2 - 3\/4*z**4 + 3\/8*z**3 - p - 3\/8*z = 0?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, -683, -1482, -2281, -3080, -3879?\nAnswer: -4678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36446 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(13\/11 + -1). Let w = 13 + k. Suppose 0 = -z + 2*i + 32, 0*i - 4*i + w = 2*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5099 + -5099.3. Let m = -2 - -3. What is the nearest to 0.3 in n, m, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 10, z: 2, f: 3, d: 1}. Give prob of picking 2 z and 1 l.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b9b37 - 3?\nAnswer: b9b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -20, 2\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.95049 rounded to 2 decimal places?\nAnswer: -0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -2 (c) -60 (d) -1 (e) 0.06 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -676 divided by 333077.\nAnswer: -676\/333077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(-3 + -1*sqrt(180))*1 + -1.\nAnswer: -12*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-56)\/(-14))\/(2\/25) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6*l + 280. Suppose 372 = -53*b + l*b. Calculate the greatest common divisor of 31 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 625, 754, 881, 1006, 1129, 1250, 1369?\nAnswer: 1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7052 - 0.7055405. Round i to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 2. Let c = -22 - -18. What is b(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 451*u**5\/60 + 581*u**3\/3 + 39*u**2 + 5. What is the derivative of q(w) wrt w?\nAnswer: 902*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 - 8*p + 7. Let m(q) = q**2 - q + 3. Let w(k) = -i(k) + m(k). Let o = 0 - -6. Calculate w(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 3*u - 4. Suppose 7*d + 3 = 17. Let h be x(d). Calculate the greatest common factor of h and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + 0*x**2 - 9*x**2 as t*x + p + l*x**2 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgufdbbbufhgbuhhbd. What is prob of picking 2 h and 1 g?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -233\/4 equal to -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f**3 - 47*f**3 + 5*f**3 + 404*f**2 + 5*f**3 - 404*f**2 - 3.\nAnswer: -15*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + a + 17 = 0, 13*a + 4 = -2*r + 8*a. Solve -r*v + 30 = 7*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 + -21)\/((-10)\/12 - (-3)\/9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/48 and -61\/120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (28 + (19 + -52 - -13) + (-8 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 13*l + 507 = 0. Suppose 0*g + l = g. What is the highest common factor of 3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109.4 + -54.6. Let q = -163.99999857 - z. Round q to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 172 + -6414a?\nAnswer: -63b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3888) + sqrt(6)\/sqrt(72))**2 - ((sqrt(363) + 1 - sqrt(363))*1 + -5).\nAnswer: 47137\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 12*h - 35. Suppose -8*k = 2*k - 30. Let x be t(k). Solve 5*a - 14 - x = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2773*s - 3*s**2 + 24*s**2 + 10*s**2 + 2772*s.\nAnswer: 31*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-32)\/(-6))\/(8\/36). Let f = -11 + j. Suppose 0 = 5*b + 4*l + 9 - 44, 2*b - 4*l = 14. What is the remainder when f is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -384, -377, -356, -315, -248?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160205?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 8*u - 6. Determine o(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -20. Solve 10*j + 12 = l*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/(-15)*(-222)\/407.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291.47917 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 5*i. Let k(m) = -m**2 + 2*m. Let b(s) = -5*k(s) - 2*r(s). Let d(l) = -32*l + 18*l - 10*l. Determine d(b(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.56 + -0.56. Let x = d + -22.00000095. What is x rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + d + 2. Let m be j(2). Suppose 3*f = -5*b - 14, -14*b + f = -13*b + 6. Let a = 0 + -0.1. What is the closest to a in 2, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b0 (base 12) to base 3.\nAnswer: 202220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -9, -6, 1, 12, 27?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119*p**2 + 47 + p**3 + 119*p**2 to the form o*p**3 + v*p + y*p**2 + s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/44*((-5848)\/(-1530) - 4)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 332 and 18.\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010 - 1111000000010101?\nAnswer: -1111000000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4365 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85.01 + 85. Let h = c - -0.93. Round h to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 164362923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 568086 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 39 - 43. Solve k*s = -2*f - 10, 2*f = -3*s + f - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.45201 - 4.478. What is o rounded to 3 dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14634614.\nAnswer: 2, 137, 53411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**5\/12 - d**4\/8 + d**3\/6 - d**2\/2 - 2*d. Let k(w) be the first derivative of m(w). Is k(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1. Let h(t) = -t - 20. Give h(y) + 6*k(y).\nAnswer: -y - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*p - 2021*p - 18014 = -164 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 24*j**2 + 119*j + 11. What is v(-8)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57827930*h**4 + h**2 - 182323*h - 111.\nAnswer: -693935160*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k + 1. Let n = 14 + -21. What are the prime factors of i(n)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) + 11\/4. Let h(s) = -s**3 + 3*s**2 + 4*s - 4. Calculate h(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 6*b**2 + 16*b. Let j be (-75)\/(-9) - 3\/9. Let u be d(j). Suppose -2*f - 5*f + 777 = u. What are the prime factors of f?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(128) + 1 + 5 - (2*sqrt(128) + 2))*-3 + 1)*5)**2.\nAnswer: -235200*sqrt(2) + 520825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57328255.\nAnswer: 5, 103, 111317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4307 less than -72377704?\nAnswer: -72382011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 + 0*a**2 + 0*a**2)*(-306*a + 463*a + 588*a).\nAnswer: -2235*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 341 and -601494.\nAnswer: -205109454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 105310?\nAnswer: 210620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.069 + -0.049. Let l = -0.0199785 + n. Round l to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 22*k**2 - k - 1. Suppose 1 = 5*z - 4. Let j be z\/((-4)\/8*2). Let c be p(j). What is the highest common factor of 66 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s - 8. Let u(z) = z - 1. Let j(g) = 8*u(g) - w(g). Let b(c) = -9*c. Let n(t) = 5*b(t) + 24*j(t). Let r(f) = -2*f**2. Calculate n(r(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 - -56. Let q = -7 - j. Suppose -4*u + q = 2*y - 4*y, 4*y = -4*u + 44. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5\/3 + 4*o**4\/3 - 2*o**3.\nAnswer: 2*o**3*(o - 1)*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790*t = 1164*t - 6554 - 18504 for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(sqrt(1372)*4)**2.\nAnswer: 219520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 315 and 420.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + h**2)*(h - 2 + 2)*(-2 + 0 + 0)*(5 + 4 - 13).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 101 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 9. Let o be n(-3). Let r(j) = 2*j - 1. Let m be r(-2). Let g = -7 - m. Is o at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.385 + -0.72.\nAnswer: -0.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 390675 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -34, -1, 44, 101, 170, 251?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by -7?\nAnswer: -75\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -9*x - 1\/4*x**4 + 0*x**2 + 0 - x**3. What is the second derivative of p(t) wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249170371 to the nearest integer?\nAnswer: 15785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -92, -176, -260?\n\"Answer: -84*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 w when three letters picked without replacement from {f: 4, w: 7, c: 4}?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*v - 31476 = -16375 - 16592 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -56, 3\/4, 188, -5, -6, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.7 + -0.21?\nAnswer: -26.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*(-2*sqrt(88)*-4 - sqrt(88))\/(-6*sqrt(8)\/sqrt(4)).\nAnswer: 28*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(11\/(9526\/3)). Let x = 2901 + i. What are the prime factors of x?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-615)\/6273*(3\/2)\/((-60)\/(-8))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/5 of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 + 40*g**2 - 43*g - 17. Calculate q(19).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252966685?\nAnswer: 5, 599, 84463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 22015017, 0.07?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-49))\/(-6*(-7)\/168)*70\/4\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 13702?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**20\/t*t)\/(t\/(t\/t**(3\/23)))*(t**(-20)\/t)**(-3) assuming t is positive.\nAnswer: t**(1952\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 17. Let t(z) = 2 - 2 + l*z**2. Let v(u) = 70354*u + 1 - 1 - 35174*u - 35179*u. What is t(v(r))?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/226941 and 127\/165048.\nAnswer: 1815528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4*i - 20, -3*i + 16 = -4*u - 5*i. Suppose 0 = 2*r - 0*r - 2. Sort r, 0, u in descending order.\nAnswer: r, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**1*y)**(-1\/15)\/(y\/((y*y*y**(-2\/25))\/y))**(3\/19) assuming y is positive.\nAnswer: y**(-101\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27202529.\nAnswer: 27202529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 5*w - 25. Calculate v(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74736\/5 + 14948. Put -1, m, -2\/21, 2\/9 in increasing order.\nAnswer: -1, -2\/21, 2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -14*o - 53. Let w be n(-4). Solve -4*y + 14 = 3*m, -w = -2*y - 2*m + 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/527 and -50\/10013?\nAnswer: 10013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 17 = p - 4, 5*v = -p - 17. Suppose p*k - 12 = -2*n - k, -3*k = 4*n - 19. Solve n*r - 4 = 2*g, 3*r = r + 5*g + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 + 140 = 4*j, 5*j - 2*g - 199 = 0. Suppose -24 = -43*h + j*h. Which is bigger: 29\/4 or h?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, g: 6, i: 5, h: 4}. What is prob of sequence thig?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 7:27 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 2?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*y**4 - 5*y**4 - 22*y**4 + (3*y - 3*y + 4*y)*(-y**2 + y**2 - 4*y**3) - 5 - 2*y**4 + 5.\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3743235ug in nanograms?\nAnswer: 374.3235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**5 - 2*i**5 - i**5)*(48 + 460 + 290).\nAnswer: -2394*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Round 364524.64 to the nearest 100.\nAnswer: 364500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 6*d - 13 - 49 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**3 + b**2 - 20*b + 22. Let i(s) = 4*s**3 + s**2 - 10*s + 11. Let q(n) = 5*i(n) - 3*p(n). Calculate the remainder when q(-5) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, g: 2, b: 2, y: 4, w: 7}. Give prob of sequence ggy.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**3\/6 + 13*u**2\/2 + 19*u. Give o(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/(1698\/22640).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 11*b = 376. Calculate the remainder when b is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 809 - 635. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47827860 or -47827866?\nAnswer: -47827860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epj when three letters picked without replacement from {p: 3, e: 1, j: 13}.\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -9*f + 40. Let z be (-2)\/f + 66\/8. Let b = -4 + z. Solve 0 = -3*t - 5*m - 20, 0 = 2*m - 3*m - b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.14 to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 54 = -2*v - 6*d, d + 4 = 0. Suppose -l + 4*g + 25 = -v, 2*g = -10. Solve -2*h - l = -8*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 33 = 31 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6151415?\nAnswer: 5, 109, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1799*p + 855*p + 2068*p = -1303*p + 482000 for p.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**6\/270 + f**5\/135 + f**2. Suppose b(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -65, -70, -73, -74, -73, -70?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*q - 20*q + 9*q)*(-7*q + 8*q + q)*(1 - 3 + 0) + q**2 + 0*q**2 + q**2.\nAnswer: 110*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 815239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -128\/11?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -182*w**4 - 44.\nAnswer: -728*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22537574789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -632 by 18430.\nAnswer: -316\/9215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 + 4*r + 3. Let i(m) = -1. Let a(d) = d**2 + 3*d - 3. Let n(p) = a(p) - 5*i(p). Calculate -4*n(q) + 3*y(q).\nAnswer: 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fftftfff. Give prob of picking 2 t and 2 f.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -86874 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8428\/11 - -766. Sort 2, -4, -0.01, s in decreasing order.\nAnswer: 2, -0.01, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2.6. Let h = -0.4 + w. Let z = 1\/142 + 421\/710. Which is the smallest value? (a) z (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + n = 92, n - 49 = p - 3*n. Let j = 47 + p. Calculate the highest common factor of 27 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128369.\nAnswer: 137, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 2\/5, 18, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 15. Let c be u(-7). Suppose -38*i + 838 - 148 = 8*i. Which is bigger: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4410 divided by 25.\nAnswer: 882\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Suppose -5*i + q*i + 15 = 0. Suppose 5*s - 4*w + 6 = 25, -5 = i*w. Solve -s*t + b = -11 - 9, 5*t + 3*b = 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + -2 + sqrt(208)) + -4*((sqrt(208) - (-1*sqrt(208) - sqrt(208))) + 3)**2)*3.\nAnswer: -22545 - 828*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by -16\nAnswer: -57\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24600 - 24598. Let o be 1\/(((-1)\/(-9))\/1). Which is the closest to o? (a) p (b) 0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 - 244 = -10*u. Let m = -262\/5239 - -3\/169. Let y = m + -26\/155. Which is the third smallest value? (a) 0.2 (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*r**3 + 9*r**3 - 31 + 8*r**3 + 16*r**3 + 2*r + 4*r**4 to x*r**2 + f*r**3 + j*r**4 + y + k*r and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12081272 and 20?\nAnswer: 60406360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(1 - 1 - 2 - 1 - 5 + 5 + (-1 - 1 + 4)*(-2 + 5 - 2) + 0 + 4 - 5 + 5 + 2 - 1 + 6 + 4 - 2 - 3 - 2 + 3)*(0*s + s + 0*s)*(-3 + 0 + 1).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwtllwfwj. What is prob of sequence ljf?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 7 - -2 - (5 - -9 - 20)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -87 + (16 - -65).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5361209 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 27, 4, -12, 3, 2, 0.\nAnswer: -12, -5, 0, 2, 3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*y**2 - 1 + 1)*(0 + y + 0)*(-2 - 3 + 6)*(12*y - 15*y - 22*y) in the form t*y**2 + m + b*y + f*y**3 + w*y**4 and give w.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*y + 196*y + g = 0, -3*y = -3*g + 12. Let s(j) be the first derivative of 0*j**2 + 2 + 3*j**2 - 2*j**2. Calculate s(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2))**34)**31\/(h**(-3\/11)*h**(-4))**36 assuming h is positive.\nAnswer: h**(7489\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125.97 + -126. Let u = 0.253 - -0.027. Let t = 0.18 - u. Which is the nearest to 0.1? (a) t (b) 3\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151 - r + 2*r**2 + 5*r - 3*r - 150 to d*r + z*r**2 + l and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 824985 times 16?\nAnswer: 13199760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238, -363, -488, -613, -738, -863?\nAnswer: -988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 396 = 1260. What is the remainder when w is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(((-494)\/(-78))\/((-6)\/(-18)))\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.680687 litres in millilitres?\nAnswer: 7680.687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 4 + 9 - (-41 + 101 + 46).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*j**2*k**4 + j**2*k - 2*j*k**5 + 6*k - 10 wrt k?\nAnswer: 600*j**2*k**2 - 40*j*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 1 + 7. Suppose 0 = -w*z + 19 - 13. Suppose 3*r - 19 = 7*r + 5*b, -r = z*b + 10. Is r not equal to -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(-1)\/j)*j*j\/j**8*(j**(-2\/7))**(1\/20) assuming j is positive.\nAnswer: j**(-211\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -40 + -10 + 99 + -94 + -6\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 12:22 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 + 498*d + 9558. Give f(-228).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffq when three letters picked without replacement from ffqqfqqq.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Suppose 0 = -5*f + 2*z + 130, -4*z + z - 26 = -f. Let x be ((-4)\/(-6))\/(f\/6). Which is the nearest to 0? (a) x (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 + 11.15. Let u = 11 - t. Let h = u + 4.07. Which is the closest to 1? (a) 1 (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -41. Let h(a) = -a**3 + 10. Let u be h(0). Calculate the greatest common factor of u and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-19)*i**(-4)\/i assuming i is positive.\nAnswer: i**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -283*k - 2*k**2 - 3267 - 4*k**2 + 3*k**2 + 85*k.\nAnswer: -3*(k + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7*p**(-5))**(1\/6)*p\/p**(1\/3)*p*(p**(-3\/2)\/p)\/p*(p\/((p\/(p*p**(-2\/9)))\/p))\/p**5 assuming p is positive.\nAnswer: p**(-85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - ((-32 - 0) + -365 + 328).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avmv when four letters picked without replacement from vaaaamdvamavaz?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/23 or -9376?\nAnswer: -9376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1744 = 3*r - 0*r, 0 = r + a - 578. What is r rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 9*b**2 + 612 + 11*b - 3*b**2 - 10*b. Is k(0) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778451968 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 751000826 to the power of 1\/4, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1603938 and 1722.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v - 2*v - 5*v)*((-1 - 2 + 1)*(4 - 2 + 0) + (-4 - 9 + 1)*(-3 - 1 + 3)) as b + r*v and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.3717 meters in centimeters?\nAnswer: 4537.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991673?\nAnswer: 3, 37, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 7. Let t(g) = 6*g**2 - 10*g. Let x be 5*(-1)\/(-5)*5. Let w(m) = -5*m**2 + 9*m. Let b(q) = x*w(q) + 4*t(q). Let h be b(6). Calculate d(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((146 - -69)\/43)\/(4\/52)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8073*m - 442455 - 348699 = 0 for m.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30397, 33848, 37299, 40750, 44201, 47652?\n\"Answer: 3451*r + 26946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-16 + -3 + 27 - (13 + -8)) - -88.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58147869.\nAnswer: 3, 13, 137, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 95 = 6*q. What is the remainder when 55 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:17 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 8\/23 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 11*a + 6*a = -580, 4*j + 5*a = -540. Let c = 561\/4 + j. What is the second biggest value in -5, c, 2\/15, -0.05?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410.3356 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (5 + 1)) + (1 - 0) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0654 - 8.1554. Round z to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 - 117*u**2 + 245*u + 1. Calculate n(-41).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 12) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2 - 21938*c*h*l**3*p + 7*c*l*p - h*l**3*p + 3*h*l**2*p - 2*h*l*p + 2*h*l - l**3*p + 1090*l with respect to c.\nAnswer: -4*c - 21938*h*l**3*p + 7*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14570420382 divided by -6.\nAnswer: -2428403397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(6*sqrt(128)*-2 + 1*sqrt(128)*-6 - 3*(sqrt(128) - (sqrt(128) + -1 + -1))))**2.\nAnswer: 1728*sqrt(2) + 41508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 309 - 974\nAnswer: -665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34551 by 3.\nAnswer: 11517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 3.5. Let v = 4 - b. What is the smallest value in v, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 84\/(0 + 4). Let j(i) be the third derivative of i**6\/120 - 3*i**5\/10 + 3*i**4\/4 + i**3\/6 + 34*i**2. What is the tens digit of j(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -133*z - 13430. Calculate m(-101).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9402191 and 20701?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-40)\/(-704) - (-2)\/22.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210767.\nAnswer: 19, 11093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*z - z**4 + 25*z - 14*z)*(-2*z + 4*z - z).\nAnswer: -z**5 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 16 + 383*u + 3 - 4. Suppose 25 = p + 17. Is f(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, p: 1, q: 3, c: 6}. Give prob of sequence qc.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*sqrt(77)\/(sqrt(14)\/sqrt(2)) - 3*sqrt(176)*-4)**2.\nAnswer: -180*sqrt(11) + 22279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7))**(-48)*s**2*s\/(s*s\/(s\/((s\/(s**6*s)*s)\/s*s*s)*s)*s))**(2\/7) assuming s is positive.\nAnswer: s**(276\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**3 + 669*p**2 + 178*p + 1896. Calculate v(-167).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 0 = -2*z. Suppose -10 = -2*x + 5*c, 3*x = z*x - 4*c - 8. Let b = -539\/6 + 90. Which is smaller: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 1. Let l(f) be the first derivative of -1\/2*f**2 + 92 + 0*f. Calculate -l(v) - m(v).\nAnswer: -2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x - 173 + 2*x**2 + 14*x - 175 + 350 + 2*x**3 to j*x + g*x**2 + u*x**3 + i and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -1)\/((-6)\/30). Suppose -5*w = -6*w + r. Which is smaller: w or 6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411059 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 4:52 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a = 0. Solve 1\/4*q**5 + 0*q - 1\/4*q**2 - 1\/4*q**3 + 1\/4*q**4 + a = 0 for q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 4:54 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2042 + -20203?\nAnswer: -13111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30375 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w - 11. Let b(x) = -4*x + 21. What is 3*b(q) + 4*d(q)?\nAnswer: 4*q + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j. Let g(p) be the second derivative of p**3\/6 + 10*p. Calculate w(g(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28, -116, -262, -466, -728, -1048?\n\"Answer: -29*y**2 - y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*k**4 - 3*k**3 + 10887*k**2 wrt k.\nAnswer: 1080*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -1664\nAnswer: 6656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 792 = -2*t, 4*l - 3*l + 5*t = 198. Suppose -4*w = 5*a - 158, 5*w - l - 14 = a. Let k = w + -37. Solve -4*b - f - k - 7 = 0, -3*f = b + 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - 5*y + 5. Let z be p(-4). Let h(m) = -m**2 - 6*m + 1. Give h(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5461000*i - 20881 wrt i.\nAnswer: 5461000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbb. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645349391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.122863 years?\nAnswer: 73.474356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 + 2. Let i = -11115 + 11105. Let n(d) = -1. Determine i*n(o) - 5*x(o).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 8:50 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -150466341, -150466347, -150466357, -150466371, -150466389?\n\"Answer: -2*t**2 - 150466339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5542\/1525 - -46\/61. Let g be (-229)\/458*8\/2. Which is smaller: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-67)\/(-10) + 21\/(-3). What is the nearest to -1\/5 in 4, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*r - 2 - 154*r + 3 - 1 - 121*r.\nAnswer: -107*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135418.\nAnswer: 2, 67709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 480778512*a + 14446748600058384.\nAnswer: 4*(a - 60097314)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*w**2 - 94*w + 191*w + 943 - 96*w + 0*w**2 wrt w.\nAnswer: 50*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*f + 1, 5*b = -3*f + 546. Suppose a - b = 3*d, 5*d + a = 4*d - 33. Let u = -32 - d. Solve 8*z = u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195834, -390325, -584816, -779307?\nAnswer: -973798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12926.35 nanograms in tonnes?\nAnswer: 0.00000000001292635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -3*l, -3*l = -29*k + 25*k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 12:42 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706880 is divided by 3572.\nAnswer: 3196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -0.646806?\nAnswer: -0.646806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 210932662427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31.21 + 25.21. Let h = -0.14 - -0.34. Which is the second biggest value? (a) h (b) -5 (c) k (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1452 * 26.\nAnswer: 3.7752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 386, 1556, 3492, 6182, 9614, 13776, 18656, 24242?\n\"Answer: -2*f**3 + 395*f**2 - f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5\/4)\/(y*y**(-7))*(y\/y**(-2\/11))\/(y*y\/(y*y**9)) assuming y is positive.\nAnswer: y**(613\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 11*a**2 + a**3 + 29 - 48 to the form x*a**3 + z*a + b + j*a**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-10))\/(72\/180).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32314411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*g + 33*g - 30514. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1152 and 70128?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8988, -12307, -17824, -25527, -35404?\nAnswer: -47443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 101235?\nAnswer: 101239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.84350001 - 2.\nAnswer: -3.84350001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 3:15 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3346.\nAnswer: 2, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.3345 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-20*102\/(-2720))\/(213\/8)\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1661930332 to the nearest integer?\nAnswer: 40767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -593 + 361. Let x = b + 137. Let g = 154 + x. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, h: 2, i: 4, t: 2}. Give prob of sequence tgg.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22537 - 22536.99989854. What is q rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 59842 = 2*j - 19*b, 0 = 7*j + b + 209558. What is j rounded to the nearest 1000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 615196 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 34. Let y = 37 + d. Put -12, -2, y, -1\/3 in ascending order.\nAnswer: -12, -2, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**5*v**(2\/11))**27*((v\/v**8)\/(v\/(v**(-1\/2)\/v*v)))\/((v*v**(2\/15)*v)\/(v*v**(-1\/2))) assuming v is positive.\nAnswer: v**(-18682\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 213\nAnswer: 5\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2710932, -5421863, -8132794, -10843725, -13554656?\nAnswer: -16265587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 22 = 5*v, -t + 3*v = 6*v + 3. Let z(s) be the second derivative of 2\/5*s**2 + 0 - 1\/30*s**4 + 1\/15*s**t + 6*s. Suppose z(g) = 0. What is g?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrlrr. What is prob of sequence lr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h + 1. Let i(b) = 3*b. Let o(m) = 4*i(m) + 3*p(m). Differentiate o(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7353482 is divided by 357.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000497365211 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 3 (c) -2\/9 (d) -6 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17942?\nAnswer: 2, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -999*d - 5. Let g be b(5). Let v be g\/(-18) - 6\/(-27). Let c = -167 + v. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 4.8. Let c = 0.3 + b. Let y = -0.100012 + c. Round y to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 3)*9\/3. What are the prime factors of (8\/(-1))\/(1 + u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002573 to 5 dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8985180881.258 and 0.1?\nAnswer: 8985180881.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 6*s**2 + 8. Let b be p(-6). What is the units digit of (-882)\/(-72) + (-2)\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8808 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 = 31392*w - 31324*w - 516 - 481 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -22. Calculate the highest common divisor of l and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/11 - -79\/22. What is the common denominator of y and 71\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*u - 24 - 31 + 6 - 19 as m + h*u and give m.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/7 - 96*c**2\/7 - 186*c\/7 - 92\/7.\nAnswer: -2*(c + 1)**2*(c + 46)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 37 + 0*b + 4 - 2*b in the form t*b + w and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + (-5 + 1 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-1))\/((-8)\/4). Let y be (-1 - -1)\/(f\/(-1)). Let j = y - -27. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/24*((-75)\/(-10))\/(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 623 + -355. Let y(m) = -15*m - 7. Let h be y(10). Let d = z + h. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3))**8*(o**0)**(-3\/5) assuming o is positive.\nAnswer: o**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -203.27 + 0.27. Let n = 202 + f. Which is the second biggest value? (a) 2 (b) 18 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2.1. Let x = -15 + 18.9. Let u = x - n. What is the third biggest value in -0.3, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 876743.6ml?\nAnswer: 876.7436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*u - 31 = 0, 486*u + 75 = 501*u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 + 141*z - 23. Let q(b) = 13*b - 1. Let y(s) = -j(s) + 6*q(s). Calculate y(20).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bebbebbeebebbebeee. What is prob of sequence bbb?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-7))\/(18\/42))\/((-101472)\/(-16308)).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**6\/180 - s**5\/90 - s**4\/18 - 24*s**2 + 1. Let u(d) = 0. What is d?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659*b - 235563 + 235563 - 389*b.\nAnswer: -1048*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 - 4*t**2 - 3*t. Suppose 108 + 660 = 24*l. Calculate the least common multiple of g(-2) and l.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s - 3*v + 3329, s - v = -2*s + 1429. Let c = -252 + 362. Suppose s = 2*t - c. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4717)\/((-25)\/(-15) + -2). Let q = g + -8180. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Let v be (-135)\/(-12) + o\/(-8). Find h such that -3*h**3 - 2*h**2 - 6*h**5 + v*h**3 + h**2 - 2*h + h**4 = 0.\nAnswer: -1, -1\/2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448706988 to the power of 1\/2, to the nearest integer?\nAnswer: 21183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62977 is divided by 31416.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12852 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7871 or -70831\/9?\nAnswer: -70831\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(112) + -1)**2) + -1*sqrt(567).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7927 + 7936 + (-2 + 1 - (1 + -4)) + -26.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -45*k**2 + 2749*k + 113. What is f(61)?\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34448*l + 1385 wrt l?\nAnswer: 34448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77898939 and 5.\nAnswer: 389494695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 30*p**2 + p + 0 + 5 - 7*p - 29*p**2. Let d be o(6). Suppose 5 + d = z. What is the remainder when 47 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from didddjjijj. Give prob of picking 2 d and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.47093 and -5.\nAnswer: -5.47093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*((-1 + sqrt(98) + -4 + (sqrt(98) + sqrt(98) + sqrt(98) + (sqrt(98) - (sqrt(98)*-1 - sqrt(98)))*-2 - sqrt(98)))**2*-3 + 4).\nAnswer: -27170 - 6300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12801739, 12801765, 12801791, 12801817, 12801843, 12801869?\nAnswer: 12801895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, -14, -6, -1\/2 in descending order.\nAnswer: 0.8, -1\/2, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o*u**2 + 47*o*u - 56*o + 171*u**2 + 26*u - 1 wrt o?\nAnswer: 2*u**2 + 47*u - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -2*b - 8. Suppose -b*q - 4*w + 7*w = -9, 3*q = 3*w + 15. Suppose 231 = q*l - 3*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 12) to base 14.\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51361065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-12)\/v)\/((v*(v*v**(8\/7))\/v*v)\/v))**(29\/2)\/((v*v**(-1))\/v**(1\/2)*v**(-6)\/v*v**(-1\/7)*v) assuming v is positive.\nAnswer: v**(-1389\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 15, n: 5}. Give prob of sequence nn.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7529 or 7528?\nAnswer: 7528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290533?\nAnswer: 290533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30713, -30715, -30717, -30719, -30721, -30723?\nAnswer: -30725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -274 in descending order.\nAnswer: 2, -1, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((680\/(-20))\/68)\/(3\/192).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f - 1. Let p = 2980 + -2985. Let w(t) = 11*t - 3. What is p*m(u) + 2*w(u)?\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0.4175, -8, 1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-10))\/(2\/(-5)). Suppose 2*g - r = 11 + 13, 4*g = -m*r + 48. Calculate the lowest common multiple of g and 34.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/9 + (125\/15 - (20 + -31)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 293.851 + -293. Round c to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 16*u = -14*u, 2*a + u = 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-46)\/(-10) + 2\/5. Let h = -10127 + 60761\/6. Let b be (1 + 54\/(-50))*-5. What is the nearest to h in b, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**2. Let z(v) be the second derivative of v**3\/6 - v**2 + 2*v. Let b be z(6). Let q(y) = -y - 2*y + 6*y - b*y. Give q(c(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 166 and 712?\nAnswer: 59096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 521335 (base 6) to base 3\nAnswer: 2010100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -80450\nAnswer: -47\/80450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -36. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g - 20*g = -64*g + 3078. Calculate the remainder when 2393 is divided by g.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 237061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2414350094 is divided by 1993.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 657 - 656. Suppose 3*r - 9 - 15 = 0. Let z be (-2)\/r - (-17)\/12. Does z = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + y**2 - 298. Let a be i(0). Let q = a - -301. Suppose -2*r + 2*c = 4*c - 8, 5*c - 5 = 0. Solve -5*p = -s - 21, -p + r = q*s - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27677 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2621197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16.2 in 0.4, -0.15, -1, 0.2, -0.5, 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-8617)\/172340)\/(2\/(-10) + (-76)\/320)\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + -1 + 1 + -6. Let r be (-1)\/((-5)\/j)*-15. Solve t = r*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28366435?\nAnswer: 5, 5673287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103847 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 807078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (-1*sqrt(200) + sqrt(200))*-3 - ((sqrt(200) - -5*-3*sqrt(200)) + sqrt(200)))\/((sqrt(36)*-3 + -3*sqrt(8)\/sqrt(2))*-3))**2.\nAnswer: 1225\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 2*x - 3*l + 54, -2620*x - 2*l + 15 = -2625*x - 7*l for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33e + -1e9c1?\nAnswer: -1e682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 8*r**2 - 12*r + 11. What is b(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87094 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 10*y**2 - 21*y + 3. Let v be x(-7). Let m(u) be the third derivative of -1\/30*u**5 + 2\/3*u**3 - 1\/12*u**4 + 0*u + 0 + v*u**2. Factor m(c).\nAnswer: -2*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10825442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27150 + -19258. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -1 - (-5 + 6 + -2 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 12) to base 2\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001236 to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -157.6 rounded to 0 decimal places?\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1617*c - 1616*c + 42 - c**2 + 25)*(-3*c + c + c).\nAnswer: c**3 - c**2 - 67*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*f + 61*f + 46*f + 459 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/44)\/(((-270)\/(-10))\/594)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-4))*g*g\/(g\/(g*g**(-12)))*g)**(-2\/127) assuming g is positive.\nAnswer: g**(26\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -957594138 by -3.\nAnswer: 319198046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5\/5 + 8*r**4\/5 - 18*r**3\/5 + 16*r**2\/5 - r.\nAnswer: -r*(r - 5)*(r - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13172 by -5.\nAnswer: -13172\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6*h = -8. Differentiate -6*b**2 - 1 - 2 + h*b**2 wrt b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, -183, -1226, -3433, -7200, -12923, -20998, -31821?\nAnswer: -45788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1142424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkpq when four letters picked without replacement from qpakpve.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-1 - sqrt(136))\/sqrt(8) + -1.\nAnswer: -2*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2 - 1 + 9 + 17*w**2 in the form p + t*w + k*w**2 and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -92, -86, -76, -62, -44, -22, 4?\n\"Answer: 2*a**2 - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*s**2 + 7 - 6 - 8.\nAnswer: -74*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, 0, 4, 0, -18, -56, -120, -216?\n\"Answer: -o**3 + 5*o**2 - 2*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - 20130130233?\nAnswer: -20130131011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 240282 divided by -6\nAnswer: -40047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.9 + 0.6. Let h = v + -0.7. Let r = h - -5. What is the closest to r in 0, 4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 339201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 0.03397445.\nAnswer: 0.43397445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4322)\/(-8) - (-4)\/48*-3. Let g be 2\/8 + (-33)\/(-12). Suppose -y + 6*y = -g*n + a, 3*y + n = 328. List the prime factors of y.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 9. Let s = -9 - -16. Let a be k(s). Solve a = -4*m - 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*j = -7303615, -10*j = -4*l - 15*j + 14607185. What is l rounded to the nearest ten thousand?\nAnswer: 3650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 935 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 (-496)\/(-47 + -7 + 38)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i - i + 2*i. Let r be (1 - (1 - 0))\/1. Let m(q) = 0 + r + 0 + 2*q. Give m(n(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 107 (b) -5 (c) 14\/5 (d) 1\/4 (e) -425\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -20110?\nAnswer: -20102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.59 + -0.5. Let t = -100 - -99.41. Let l = d + t. Which is the third smallest value? (a) l (b) 5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l. Suppose l = 2*o - 4, 4*o = -3*n + n + 14. What is the second derivative of 76*w**3 + n*w - 76*w**3 - 3*w**4 wrt w?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/172409 and -27\/212.\nAnswer: 689636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36368 is divided by 2260?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 2) + -40 + (-23 - -31).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99415 + -98966. Calculate the remainder when h is divided by (-225)\/6*4\/(-2).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*q + 18 = 2*q, -3*q = -2*l - 6. Let s(r) = -r. Let b(p) = -p + 1. What is l*s(x) + 5*b(x)?\nAnswer: x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3035254050 to the power of 1\/2, to the nearest integer?\nAnswer: 55093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1436174 and 6103312.8.\nAnswer: 7539486.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103752 + 1197.3.\nAnswer: -102554.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22379)\/31970*(-4)\/7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56 - 22?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-24)*(-740)\/(-333))\/((-30)\/(-54))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 176\/5 + -35. Suppose -5*h - 85 = 5*g, 8*g + 6 = 5*g. What is the nearest to d in 5, -2\/3, h?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -2\/25, 5\/281, -0.5?\nAnswer: 5\/281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 729*l + 30177. Determine q(37).\nAnswer: 1835","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 61.8 from -221861277013.\nAnswer: -221861277074.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 1)*44\/33. Let n(s) be the second derivative of -3\/2*s**2 + s**3 - 3\/10*s**5 + 0 + 3*s + 0*s**r + 1\/10*s**6. Factor n(a).\nAnswer: 3*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -0.14, 29, -2\/13?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-1 - (-7 + 5 + 4 + -8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6225742143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*r - 4*q, -5*r + 2*r - 4*q = -24. Suppose -5*j + r*j = 1. Which is bigger: 2\/205 or j?\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287975?\nAnswer: 5, 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h. Let p(d) = -204812*d. Give j(p(w)).\nAnswer: -204812*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(20692\/(-1803160)*(-8)\/14)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*m - 10, 3*m + 4*k - 68 = -30. Factor -12\/5 + 2\/5*o**2 - m*o.\nAnswer: 2*(o - 6)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22172 - -99799. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -330*q + 9187. Give k(27).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0088946735 to 4 decimal places.\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2799, 11239, 25295, 44961, 70231, 101099, 137559?\nAnswer: 179605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + (0 + sqrt(1539) + sqrt(1539) + -1 + sqrt(1539) - (-5*(sqrt(171) + sqrt(171)*2))\/sqrt(9))**2.\nAnswer: -84*sqrt(19) + 33515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -1476?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**5\/60 - 5*z**4\/8 + z**3\/2 - 8*z**2. Let o be m(-15). Solve -3*p - 12 = o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26296199251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - ((-7 - -11) + -472).\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.048 - 10.8374?\nAnswer: -11.8854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 2)*(-1 + 3 - 1) - 1 - 1 - 3 - 2 - 7 - 13)*(2*d + 3*d - 3*d).\nAnswer: -52*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 131 - 134. Put -15, 3, 0.3, a in increasing order.\nAnswer: -15, a, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - o - 32. Let q be t(-6). Suppose -q*z + 19*z - 3393 = 0. Is 29 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k + 349. Let u be f(-64). Suppose u*w = 19*w + 20. Factor 10\/7*b**w - 2\/7*b**3 + 8\/7 - 16\/7*b.\nAnswer: -2*(b - 2)**2*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 + 5*p**2 - 2. Let x(s) = -s**2 - 16*s + 15. Let k be x(-17). Let r be o(k). Solve b - 4 = 2*q, 3 = -q + r*b - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 36*w**2 + 39*w + 52. Let k be s(23). Let a = k + -10766. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t**2 - 6. Let g(m) = 3*m**2 + 3. Determine 2*b(y) + 5*g(y).\nAnswer: y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x**12*x**19 assuming x is positive.\nAnswer: x**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(1\/14)*w*w)**(-1\/3) assuming w is positive.\nAnswer: w**(-55\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c**2 + 41*c - 7. Let w(a) be the first derivative of -4*a**3\/3 - 7*a**2 + 2*a + 2. Let t = 9 - 26. Let f(k) = t*w(k) - 6*p(k). Factor f(l).\nAnswer: 2*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43808 * -0.1\nAnswer: 4380.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 10:42 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*q + 30, -50 = -5*y + 4*q + q. Let m be 2\/(-2)*-1*y. Let c(i) = i**3 - 4*i**2 - 4*i + 5. What is the units digit of c(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2441900 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9*p**4 - p**3 + 27*p - 2. Let q(c) = -c**3 + c**2 + 2. Let v(y) = -q(y) - s(y). What is the third derivative of v(h) wrt h?\nAnswer: -216*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -9. Let l be t + (22 - 0 - -8). What is the highest common divisor of l and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 43 = -t - s, t = -5*s - 5. Let q = 14 - t. Let b = 17 - q. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3308 - -49649\/15. Suppose -2247 = -5*r + i, 0*r + 1786 = 4*r + 5*i. Calculate the common denominator of 1\/5 + r\/180 and b.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 354, 705, 1058, 1413, 1770, 2129?\n\"Answer: t**2 + 348*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80733 and 2040?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6944851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -159 - -164. Factor 4*p**5 - 12*p**3 + 8*p**4 + 0*p**x + 16*p + 0*p**5 - 16*p**2.\nAnswer: 4*p*(p - 1)**2*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.6 + -29.29. Let n = 3.43 - m. Round n to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 127378*s**2. Let a(d) = 24*d**2. Give w(a(h)).\nAnswer: 73369728*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v - 137. Give r(23).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*d + 112. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a + 11. Let j be n(-10). Let z = j - 16. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2337 + 4029. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o - 2. Let h be u(-6). Suppose n = -3*n - 272. Let w = -4 - n. What is the greatest common divisor of w and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 - 7*h + 3. Let p be w(6). Let m = 6\/6829 + 3284707\/47803. Let y = p - m. What is the nearest to y in 2\/3, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/45 + (-16)\/(-40). Suppose 2*h + 0 - 4 = n, -2*h + 8 = n. Suppose 0 = 8*p - 7*p - 1. Which is the third smallest value? (a) n (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943666 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q - 1531 + 698 - 6619 = 304*q for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5415 + -3836. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.24 (c) -3\/233 (d) -1\/9 (e) 4 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 50*m**2 - 4394*m - 25. Calculate c(88).\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 s when two letters picked without replacement from nsrsjrnunnr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -198, -302, -408?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u = -120 - 402 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.32 - 1.32. Which is the smallest value? (a) 0.3 (b) -1\/4 (c) -6 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/48)\/((-12)\/(-48)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-260)\/1170 - (-187)\/(-9)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 39. Let c be ((-8)\/(-10))\/(6\/(-165)). Calculate the remainder when y is divided by (-4)\/16*2*c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**3*m**5 - d**3*m - 13*d*m**5*w - 2*m**2*w - m**2 - w wrt m?\nAnswer: 240*d**3*m**2 - 780*d*m**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**7\/2520 - w**6\/240 + 353*w**5\/120 + w**4\/12 - 11*w. Let f(k) be the third derivative of a(k). Is f(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2874249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24105533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 - (-68 - -7 - -100)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Let f = -42 + 47. Let q = -3094 + 3094.3. Which is the fourth biggest value? (a) f (b) q (c) p (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h - 1801. Let u(v) = -4*v**2 + 201*v - 3. Give i(u(p)).\nAnswer: 8*p**2 - 402*p - 1795","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61 and 349913?\nAnswer: 21344693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 220?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1298*k**2. Let d(v) = -4802*v. Calculate b(d(c)).\nAnswer: 29930846792*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86 and 559?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4650.036866 take away -139?\nAnswer: -4511.036866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2121 and 2121.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 8*r**2 - 3*r + 3. Let c(l) = -3*l**3 - 24*l**2 - 10*l + 10. Let o(x) = 6*c(x) - 17*y(x). Determine o(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 59*k + 453. Determine i(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -4. Let i(o) = o + n*o - 2*o - 2*o. Let k(f) = -f**2. Determine i(k(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*o + 6*o - 4*o)*(-2 - 5 + 3 + (6 - 2 - 2)*(-1 - 4 + 4) + 7 - 3 - 10) + (o - 2*o - o)*(0 + 2 - 1))*(2 - o + 0*o + 0) as p*o**2 + a + h*o and give h.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (2*-3 - 1). Let o be 7*(-2 + x\/(-3)). Solve -u + 3 = o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 84, 200, 360, 564?\n\"Answer: 22*k**2 + 6*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 27. Let z be q(5). Let l be ((-328)\/3)\/z*15. What is l rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (2 - (-8)\/4). Solve 0 = m + c*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbx when three letters picked without replacement from {x: 7, v: 9, b: 1, q: 1, y: 2}?\nAnswer: 7\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -271 * 0.4\nAnswer: -108.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 634.2\nAnswer: -2536.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 13 - 18. Let n(c) = -2*c + 1. What is the units digit of n(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -560*i**2 + 4*i + 89. Let c(w) = -561*w**2 + 3*w + 91. Let d(z) = -4*c(z) + 3*o(z). What is the first derivative of d(q) wrt q?\nAnswer: 1128*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -44b87 - 3?\nAnswer: -44b8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24\/(-36) - 604\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p - 40*p + 276 = 48*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 62, 5, 3 in decreasing order.\nAnswer: 62, 5, 3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 20*p**2 + 7*p + 0*p + 0*p + 24*p + 9. Let g(c) = 5*c**2 + 8*c + 2. Let w(u) = 9*g(u) - 2*y(u). Find the second derivative of w(o) wrt o.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from dddwmwkkwmmmkcwdwm?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 53469710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -15. Solve -r*q - 31 = 5*v, 3*q + 4*v + 4 = -25 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 53, 0.41, -21?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 643484243 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 11010816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 32652, 32698, 32764, 32850, 32956?\n\"Answer: 10*s**2 + 16*s + 32626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/18 and -161\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r - 9. Solve -r*k + 4*a + 9 = -a, 0 = 4*k - 3*a - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/3114 and 77\/6.\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**2 - 4*u**3 - 3*u**2 + 1 + 2*u**3 - 3 in the form d*u**2 + v + t*u + b*u**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21951532 - -0.01.\nAnswer: -21951531.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1302*m**3 + 24*m + 43 wrt m?\nAnswer: 7812*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -230.\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-72)*-2*-1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10702346*f**2*g**3 + 44*f**2*g - 19*f**2 - 9*f*g**2 + 65*f*g wrt g?\nAnswer: 64214076*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/9567 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 85 - -185?\nAnswer: 25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.1 in 2\/9, -1, 140, -1\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-20)*3*2\/(-6). What is the nearest to 1 in 2, x, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7097 - -9148.2903. Let m = f - 6420. Let y = m + -2727.889. What is y rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 0*f**7 - 1\/30*f**5 + 0 + 0*f**3 - 1\/336*f**8 + 0*f**4 + 0*f + 0*f**6 - 3*f**2. Find the third derivative of z(p) wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8786353.\nAnswer: 37, 73, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2850 and 450?\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2957.09 to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -2*i - 35. Suppose -3*r - 2*t = -0*t - 73, i*r - 130 = -5*t. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000114024 to seven decimal places.\nAnswer: 0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 3. Let g be x(-4). Suppose 0 = -2*n + 7 + g. Suppose 0 = -t + 5*h + 11, t + t + 3*h - n = 0. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*j + 668, -2*l - 215*j + 211*j + 364 = 0. What is the greatest common factor of l and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 796*m**3 - 459*m**3 + 1389*m**3.\nAnswer: 1726*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*y = 330 - 103, 5*y - 173 = -3*g. Calculate the greatest common divisor of g and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*s = 6*p - 90800, -2*p + 3*s + 90828 = 0. What are the prime factors of p?\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.596 minus 203?\nAnswer: -204.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 11*c - 6. Let o be d(10). Suppose o*x = z + 5 - 3, 3*x - 8 = 4*z. Let w(u) be the second derivative of -u**3\/6 + 3*u**2 + u. What is w(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*t - 37 = 0, 0*t + t = 3. What is the least common multiple of 8 and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*k - 3*l, -5*k + 2*l = -0*l + 2. Suppose k = -11*t - 39*t + 12*t. Solve 0*z - 25 = -z - 4*y, -z + 4*y - 15 = t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {w: 4, v: 1, b: 4, m: 6, a: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7112692?\nAnswer: -7112692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -3*k - 308, 3*k - 4*s + 157 + 150 = 0. Let q = -3 - k. Calculate the highest common factor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/80*-10 - (14 + 4). Let r(w) = w**3 + 14*w**2 - 1. Give r(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9206293 centuries?\nAnswer: 92.06293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4 - 7672527*a**3 + 4905666067563*a**2 - 34339332555057*a + 29433674160018 = 0. What is a?\nAnswer: 1, 6, 1278751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -29, -36, -55, -92, -153, -244?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 29 = 15*i. Find the second derivative of 36 - i*f**2 + 24 - 3*f**2 - 5*f**2 - 2*f - 9*f**3 wrt f.\nAnswer: -54*f - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uefeveeuqe.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 7. Suppose 0 = -k - 1, q*h + 4*k - 16 + 0 = 0. Let g = 5 - 1. What is the lowest common multiple of g and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvqmsmvmvsl. What is prob of sequence qs?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92413915, 92413916, 92413917, 92413918?\nAnswer: 92413919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 457030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -47\/75, -8, -1\/22?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*d + 38, 48*d = 50*d + 2*p - 18. Calculate the lowest common multiple of 4 and d.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 3*q + 310. Calculate the remainder when 29 is divided by p(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6073121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 492 - 522 = -x, x + l = -21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 2339 = 2044. What are the prime factors of c?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11254.6 and 0.2.\nAnswer: -2250.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -76 (b) -5 (c) 0.3 (d) -32 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3.726*-13.4\nAnswer: 49.9284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17106.99nm in micrometers?\nAnswer: 17.10699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -2*a + 3*a**2 - 48 + 3\/2*a**3 + 1\/20*a**5 - 5\/6*a**4. Calculate s(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*a + v, 536*a - 534*a + 9 = v. Let m(q) be the third derivative of q**4\/6 - 3*q**3\/2 - 3*q**2. Let c(o) = 2*o - 5. What is a*m(h) + 5*c(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 18*l**2 - 423*l - 1666. Give a(-7).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/594 and -127\/108?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0532 rounded to three dps?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -210, -341, -480, -627?\n\"Answer: -4*u**2 - 119*u - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 22*j - 199. Let c be x(-29). Let p(u) = 2*u**2 + 2*u - 4. Calculate p(c).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/1648 in 0.2, -2\/9, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6*(12544\/3087)\/(-128)\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -9*d**2\/2 - 226*d - 2679. Give b(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -9 + 3. Suppose -165 = i*s - 483. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/117, 4\/35, 3, -0.3?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*n - 6*n = -7, -15 = 5*n. Let h(s) = -s**3 + 9*s**2 - 8*s - 3. Let a be h(t). What is the nearest to -1\/4 in -4, -2\/3, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + y**2 - 2*y - 1. Suppose -5*n + 2 = -3*f + 3, -3*f + n + 5 = 0. Give z(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.544878 to four decimal places.\nAnswer: -0.5449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + 5460420?\nAnswer: 5460446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8500060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -562*p*q**2 - 289*p + 42905*q**2 + q with respect to p.\nAnswer: -562*q**2 - 289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1093942 or 12033377\/11?\nAnswer: 12033377\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 2*p**2 - 2*p + 7. Let o(q) = 279*q - 489. What is the lowest common multiple of v(5) and o(2)?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 22. Let j be -3 - (-3 - (o + 22)). Solve -p = -z - 5 + 2, -2*z + 5*p = j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3\/4, 3\/7, 5 in decreasing order.\nAnswer: 5, 3\/7, 0, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2947?\nAnswer: 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35037083 and 83372?\nAnswer: 140148332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(-38))\/(1259\/140 - 9).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-4 + sqrt(176) + 1 - sqrt(176)) + (sqrt(176) - 1*sqrt(176)) + sqrt(176) + sqrt(176) + -3)**2 - (-4*(sqrt(275) + sqrt(275)*1 + 4 + -3))**2.\nAnswer: -16791 - 496*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 634464, 634471, 634480, 634491, 634504, 634519?\nAnswer: 634536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 8:47 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 194810 and 28?\nAnswer: 389620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5683 + 2*m + 11367 - 5684.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 18*c**2 - 14*c - 3. What are the prime factors of r(5)?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5668*t + 5668*t - 4*t**4)*(-3 + 3 + t + (t + t - t)*(4 + 0 - 3) + 2 + 2*t - 2 - t + 4*t - 2*t).\nAnswer: -20*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f - 11 + 11 + (3 - 4*f - 3)*(1 - 5 + 6) - 173*f + 166 - 166 in the form r + j*f and give j.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wifflhi. Give prob of sequence fhw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000485892 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 12 = 3*n + n, 0 = n - 2*r + 5. Put n, -37, 0, 2 in descending order.\nAnswer: 2, 0, n, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*a + 17*a**3 - 38*a - 14*a**3 + 2 to w*a**3 + p*a + q + m*a**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -422 - -424. Let r be 47*u - 20\/((-4)\/1). Calculate the greatest common factor of 18 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/5)*a**(-3\/10))**(-9\/11) assuming a is positive.\nAnswer: a**(9\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n. Let d(c) = 8705302*c + 43. Give d(x(b)).\nAnswer: 8705302*b + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -1\/18*u**4 - 2 + 7*u + u**2 - 2\/9*u**3. Let o(j) be the first derivative of f(j). Suppose o(h) = 0. What is h?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 163234.\nAnswer: 3\/163234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c + 6. Let u(v) be the third derivative of -v**5\/60 - 5*v**4\/12 + v**3 + 3*v**2. Let d be u(-10). Let l(m) = m - 2. What is d*t(x) + 17*l(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + t - 1. Let w(r) = -4*r**3 + 6*r**2 + 6*r + 14. Let c(q) = -5*i(q) - w(q). Let u be c(-4). Solve 0 = 2*g - u*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = 4*q - 3, 0 = -5*k + 4*q + 13. Let d(c) = 0 + k*c + 4*c + 7*c**2 - 2 - c**3. What are the prime factors of d(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(36)*2))\/((3*sqrt(66))\/sqrt(11)*2).\nAnswer: sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**4\/12 + 3*w**2 - 132*w. Suppose 4*q - p + 10 = -6*p, q = -4*p - 8. Calculate l(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13369980 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8 = m. Suppose -m*h + 100 = -3*h + 4*z, 111 = 4*h - 3*z. Suppose -4*t = -t - h. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 15. Suppose -5*t = -3*t - b. Factor -3*p**2 + p + 7*p**2 - t*p**2.\nAnswer: p*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 6. Let v(s) = -6*s**2 - 25*s - 31. Give -7*c(n) + v(n).\nAnswer: -6*n**2 - 18*n + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + t + 3 = 0, 3*d - 2*t = -7 + 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 2*i - 4, -6*f + 2*i - 52 = 9*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604949 is divided by 60491?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011100100100 + -100?\nAnswer: 11011100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 89 and 46.\nAnswer: 4094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 4*m - 1 = 3*j, 4*m - 25 = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.517875 + -1.4278701. Let z = 0.09 - s. Round z to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82\/3*u - 2\/3*u**2 + 172\/3.\nAnswer: -2*(u - 43)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + (-4)\/2)\/(1\/1). Suppose 130 + 29 = j*r. Calculate the remainder when r is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000036555 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*-1 - (sqrt(77) + (sqrt(77) + -1*sqrt(77) + sqrt(77))*-3))\/(sqrt(7) - sqrt(63)*5 - (sqrt(7) - sqrt(28)*-2 - sqrt(7))).\nAnswer: -sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 1. Let y be b(2). Suppose 2*m - 15200004 = -2*s, -s = -3*m + y*s + 22799992. Round m to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5113 and -5113 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -16 + 8 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102402 is divided by 236?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4079 and -1.4?\nAnswer: -5710.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 254.2 + -254. Which is the nearest to -3\/4? (a) 1 (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + d**2 + 2*d**2 + 0*d**2 + d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3\/2*a + 1\/2*a**2 = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 53 + 5\/((-15)\/6). Let g = m + -28. Let j = -11 + g. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5 (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/42)\/z)\/z**(-2\/23)*z**21\/((z\/(z\/z**(-11)*z*z)*z)\/z) assuming z is positive.\nAnswer: z**(31939\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2\/8 - 537*r\/8 - 1503\/2 = 0.\nAnswer: -167, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.189515 and 379679.\nAnswer: 379678.810485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00146461 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1177 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.124 * 8.59\nAnswer: -1.06516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -349 + 350. Let f be (-205)\/(-41) - (j - (-22)\/6). Which is the third smallest value? (a) 0 (b) -15 (c) f (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/175 and -104\/1575?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4790237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 34 - 29 - 17 + 8 - 41*r**3.\nAnswer: -41*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8429178 - -128380.\nAnswer: -8300798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1576.45116ms?\nAnswer: 0.0000182459625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1764, -5\/2, -202\/11, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -271036 divided by 2892?\nAnswer: -67759\/723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-250)\/(-75))\/(5\/6). Solve d*j + 3*j = -14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50528.\nAnswer: 2, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7632 = 44*i. Calculate the remainder when i is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1799\/3 - -627. Let f = -27 + s. Suppose -1\/3*q + 2\/3*q**2 - 2\/3 + f*q**3 = 0. Calculate q.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*c**2 + 21*c**2 - 968*c**4 - 60*c**2 + 26*c**2 - 322*c - 8*c wrt c?\nAnswer: -11616*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-20) - 2726\/(-10) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87280 is divided by 1972.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 1 = 14*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 170196.\nAnswer: 170196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 512*x + 1984.\nAnswer: 4*(x - 124)*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 + 9*f + 11. Let y(c) = 2*c**2 + 5*c + 6. Let m be 2*1\/(-8)*-44 + -4. Calculate m*y(u) - 4*p(u).\nAnswer: 2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-2\/57)*n*n)\/(n**(-5)*n*n)*(n**3)**(-1\/26) assuming n is positive.\nAnswer: n**(10151\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 n when three letters picked without replacement from {l: 3, k: 1, c: 6, m: 2, n: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46514*k**2 - 12*k + 23*k - 11*k - 46529*k**2.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 8, -5, -2812341, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (14 - -2) - 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -821 + 55?\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -392, -394, -396, -398, -400?\n\"Answer: -2*z - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(1\/5)))\/s*s)**9)**(-17)\/((s*(s\/s**0)\/s*s)**(-13\/4)*(s*(s*(s\/s**0)\/s)\/s)**(18\/7)) assuming s is positive.\nAnswer: s**(2417\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200109876.604 + -0.5.\nAnswer: 200109876.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -u + 7927, 0*u + 15 = -5*u. Suppose -a = -2*v + a + k, -11885 = -3*v + 5*a. Suppose -v = -5*n + 1335. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6369, 12741, 19113, 25485?\n\"Answer: 6372*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4526, -96, -5 in descending order.\nAnswer: 4526, -5, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -7\/6 (b) -2.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-18))\/(6\/9 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1263381*k + 3*k**2 - 56*k**2 - 1263381*k.\nAnswer: -53*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 38*m**2 + 34*m + 24. Let q(p) = -17*p**2 - 14*p - 11. Let c(k) = 3*d(k) + 7*q(k). Let a(y) = -4*y**2 + 3*y - 4. What is 4*a(o) - 3*c(o)?\nAnswer: -o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94470275, -94470273, -94470271, -94470269?\nAnswer: -94470267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -3*a - 6 - 3, -5*f - 2*a = 23 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -354665 + 63?\nAnswer: -354602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2. Let m(i) = 4*i - 3. Let r(t) = 36*t - 28. Let u(n) = 56*m(n) - 6*r(n). Give w(u(j)).\nAnswer: 320*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34507, -69030, -103553?\n\"Answer: -34523*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**3 - 3*j**2 - 5*j + 5. Let b(l) = -5*l**3 - 2*l**2 - 4*l + 4. What is -3*b(a) + 2*c(a)?\nAnswer: 3*a**3 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 6 = 4*o - 15*o + 9*o, 0 = -3*o for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4 = 5*m, 5*n + 6*m + 10 = m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/59)*t)**(-25)*(t**(-5))**(3\/29) assuming t is positive.\nAnswer: t**(-87885\/1711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b\/(b**2\/b))\/b))**(-3\/10)\/(b**(-5)\/b**(6\/7)) assuming b is positive.\nAnswer: b**(347\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -169 and -18060?\nAnswer: 17891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 23*l**2 + 42*l + 2. Let a be d(-21). Suppose 2*p = -a - 4, 2*p - 4 = -2*m. Is -1\/3 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -174*g**2 - 5*g + 16. Let j(o) = 86*o**2 + 2*o - 7. Calculate 7*j(f) + 3*s(f).\nAnswer: 80*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1044022432 - -11?\nAnswer: -1044022421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -g - 3*z, -5*z - 49 - 87 = -3*g. Let a be (320\/(-720))\/((-2)\/27*3). Solve -m = -5*s + a*m + g, 4*s - 2*m = 28 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 19. Let w be h(13). What is the units digit of (22\/w)\/(6\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 1329*z**2 + 4. Let o(a) = 11963*a**2 + 35. Give -4*o(q) + 35*x(q).\nAnswer: -1337*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 12:23 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 67, -166, 4, 185, -2 in descending order.\nAnswer: 185, 67, 4, -2, -4, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-230)\/(-30) - 16) + 0 + 5?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*r + 34 - 10, -3*r = -3*f - 15. Let c be (f\/2 - -2)*-2. What is the third derivative of -1 + 1 + u**c + 3*u**2 wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2270 = 9*a - 6*a, 0 = 5*v + 2*a - 2265. List the prime factors of v.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*(-1 + sqrt(7) + -1 + -4)*6 + 5 + -4.\nAnswer: -31 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2268, -9022, -20264, -35982, -56164, -80798, -109872?\nAnswer: -143374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285557, -284402, -283247, -282092, -280937, -279782?\nAnswer: -278627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -4.944177?\nAnswer: 0.4944177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 39792 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9d + 2baf6?\nAnswer: 2ba59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -1. Let t(m) = m - 1. Let a(o) = -o**2 + 8. Let p(v) = a(v) + 5*t(v). List the prime factors of p(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3\/20)\/j)\/(j\/(((j*j*j**(2\/61)*j)\/j)\/j)*j*j) assuming j is positive.\nAnswer: j**(-2583\/1220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*b - 21, 14*l - b = 17*l - 93. What is the remainder when 39 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 - 2 = -4*y, q = y + 2. Let x be (10\/(-6) - -2)*2. What is the second smallest value in 0, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 609*m - 882. Let p(r) = 36*r - 52. Determine -84*p(j) + 5*z(j).\nAnswer: 21*j - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 19*n**2 - 76*n + 6. Let g be l(4). What is the third derivative of 2*j**4 + 73*j**g - 2*j**3 - 19*j**2 + 83*j**6 - 2*j**4 - 29*j**6 wrt j?\nAnswer: 15240*j**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 = 35*r - 58*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/7)*k)\/((k\/(k\/k**(2\/5)*k)*k*k)\/k)*(k**2)**22)\/((k**(1\/8)*k*k)\/((k**(-3\/4)\/k)\/k)*(k*k*k\/(k\/k**(-3)))\/(k**(-4)*k)) assuming k is positive.\nAnswer: k**(10483\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 9\/4 (b) -0.2 (c) 16\/5 (d) -102\/5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 43*f**2 + 458*f + 35. What is x(20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 7026 - 621 = 0. Suppose 4*m - 93 = x. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. What is the common denominator of (-3)\/(-15)*-12 + 0 and (4\/(-90))\/(l\/(-5))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -1)\/(8\/2). What is the closest to -2\/3 in -2\/7, 5, q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*z + 6 = -0*o, -o + 5*z = -2. Suppose -3*p + 8*p + 19 = o*l, 0 = -3*l - p + 3. Put 5, l, 0.1 in descending order.\nAnswer: 5, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*1\/5)\/((-156)\/650)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 5*w**2 + 3*w - 4. Let q = -15 - -10. Let o(t) = -t**2 - 3*t + 7. Let j be o(q). Does 4 divide c(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) 3\/14 (c) 57341\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 - -1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 168, 334, 500, 666?\n\"Answer: 166*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*2)\/(13\/(-754)). Suppose -2*q + 5 = -3*q, 3*x = 4*q + h. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4725 and 2100?\nAnswer: 18900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 16, -4 = 5*d - u + 7. Let p(v) = 13*v - 4. Let l(j) = -17*j + 4. Let h(q) = 4*l(q) + 5*p(q). Give h(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/3 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -11*h + 2. Let f be k(-2). Suppose 3*r = -39 - f. Let y = r - -38. What is the greatest common divisor of y and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.115 + 0.145. Which is the smallest value? (a) 4 (b) -9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3060?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18*1)\/((-4244)\/8488).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128932921 + 4?\nAnswer: 128932925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 479002 and 0.03.\nAnswer: 479002.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 15*p - 10*p + 17, -5*l = 13*p - 2. Put 6, -12, -4, l, 5 in descending order.\nAnswer: 6, 5, l, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, d: 1, o: 4, y: 7}. What is prob of sequence oood?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7850.5067 rounded to zero decimal places?\nAnswer: -7851","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0.1, -0.3, 19, -19 in ascending order.\nAnswer: -19, -0.3, 0.1, 15, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3194, 3196, 3198, 3200, 3202?\n\"Answer: 2*z + 3192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 63009609 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3541441 from -5.\nAnswer: -3541446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22030277?\nAnswer: 22030277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24774 divided by 3?\nAnswer: 8258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1802 + 441517?\nAnswer: 438615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 13*t**2 - 89*t - 149. Calculate d(9).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 806.07495129 plus 0.5?\nAnswer: 806.57495129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7493370 minus -0.1785?\nAnswer: 7493370.1785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/18)\/(((-10)\/(-28))\/5). Let f(k) = 3*k**3 - 5*k**2 - 7*k + 28. Let y(p) = p**3 - p**2 + p + 2. Let b(o) = -f(o) + 4*y(o). Is b(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u - 2. Let w be n(3). Suppose -w + 2 = 5*o. Let j be ((-36)\/(-8) + o)*(0 - 2). Sort j, 1, -48 in decreasing order.\nAnswer: 1, j, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -748428*d + 213*d**2 + 748426*d + 149*d**2 - 39*d**2.\nAnswer: 323*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 33880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4 - 2*s**2 - s**2 + 6 - 7*s + 2*s**2. Determine q(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuxiuxxxzguwxu. What is prob of picking 1 z and 1 x?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**7\/6300 + w**6\/600 + 3*w**4\/4 - 7*w. Let z(v) be the third derivative of g(v). Factor z(d).\nAnswer: 2*d*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*g - 4*g - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123673 = 22*s + 124113 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 4*z**2 + 4*z - 4. Let g be k(-4). Let o = g - 25. Which is smaller: o or -44?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-6))\/((-264)\/(-99))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633 is divided by 103?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxcmssscogxo. What is prob of sequence mo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1030427 by -281.\nAnswer: 3667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 3) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-six fifths of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(3870*l - 5 + 4055*l - 7793*l).\nAnswer: 264*l - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 19 = -73. Suppose p*l - 11*l = 29000000. Round l to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a hour in seconds?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -25*v. Let l(f) = 15*f**2 - 3 - 20*f**2 + 3. Give l(b(o)).\nAnswer: -3125*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94137985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 308.781 to 1 decimal place.\nAnswer: 308.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26911 - -53826. Suppose 3*o - 1058 + 48508 = -5*b, 0 = 2*o + 2*b + 31632. Let n = v + o. What is n rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*t**2 - 115*t**2 - 4 + 0.\nAnswer: 15*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -51*d**2 - 61*d + 359. Let r be p(5). Which is smaller: r or -1223?\nAnswer: -1223","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6650, 13332, 20026, 26738, 33474?\nAnswer: 40240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 6*p + 3. Let d be u(-4). Let v = d + 10. Suppose -341 = -v*g + 459. What is g rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a centimeter in millimeters?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 226, 2, 51722\/7?\nAnswer: 51722\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*y + 2*y - 112, -3*a - 28 = -y. Let q = -31 + y. Let l be 26\/6 - 2\/q. Solve 5*g + 2*t - 35 = 0, -5*g - 4*t + l = -8*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**3 + 3*y**2\/2 - y - 22. Let d be i(2). What is the highest common divisor of 289 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 871725?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/1041381 and 64\/2211.\nAnswer: 1041381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -438495, -438644, -438899, -439260, -439727?\nAnswer: -440300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9121*c - 5284*c - 14823*c + 3669*c - 6769*c - 41*c)*(-3 - 4 + 4) as l + i*c and give i.\nAnswer: 97107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -236\/14889?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -60 and -0.229.\nAnswer: 13.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 50?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 41 - 4 - -1. Suppose -4*r + i = -2*r. Calculate the highest common divisor of r and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u + 62*u**2 + u**3 + 5 - 115*u**2 + 59*u**2. Give h(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + (-6 - 4) + 84 + -103\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 5 = 34*g - 3*t + 59, -g - 4*t - 2*t + 49 = -t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*s + 188, 3*m + 5*s - 148 = -20. Suppose 0*y - y + m = 0. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 12*m**2. What is x(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 12005)\/((-1)\/25). Round l to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75738 divided by -971.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-2)\/(-3))*((-292)\/20 + 198\/(-495)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -6. Let f(q) = 2*q. Let y be f(z). Factor y + 0*l - 3*l**2 - 2*l + l.\nAnswer: -(l + 1)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g + 9. Let d be i(-6). Let y(o) = 4*o**2 + 2. Is y(d) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 573.9517 hours to microseconds.\nAnswer: 2066226120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.37 (c) -500 (d) 2.3 (e) -2 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38\/8 + 45\/(-60). What is the tens digit of 2*(850\/w - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -122654810*c - 119193510 wrt c?\nAnswer: -122654810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 166 - -16. Let i = p + -908\/5. Let h = 0.26 + 0.04. What is the closest to i in 1, h, -0.8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 135?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 83?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 15?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**6\/180 + i**5\/24 + i**4\/8 + 3*i**2. Let y(k) be the second derivative of d(k). Is y(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 2*s - 3. Let a(w) = -w + 1. Let h be a(3). Let r be -1*((-12)\/20 - 36\/(-10)). Let v be r\/12*-6*h. Give q(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*b + 2943 + 45441. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/1358 and -3\/116762?\nAnswer: 79281398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46829568 by 487808.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-642 - -626) + (14 - -3) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, a: 5, f: 2, d: 9}. Give prob of picking 1 f, 1 d, and 1 a.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-4)*(-43)\/(817\/646)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 15. Sort f, -4, 1 in decreasing order.\nAnswer: 1, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a year in months?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3113979 divided by -3\nAnswer: 1037993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128538 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.41, 5, 3\/8, -2\/77, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10202 or -10201?\nAnswer: -10201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 18. Let i be h(15). What is the tens digit of 62*i*(-3)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -1.4, 0, 0.2, -461.9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3276.14 and 0.5?\nAnswer: 3275.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.641482 * 1.9.\nAnswer: -5.0188158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) -2 (c) -1\/2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54.5 + -54.22. Which is the closest to -2\/7? (a) 1\/5 (b) -0.11 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 + 27*n - n + 53*n + 95*n + n**2.\nAnswer: 4*n**2 + 174*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001143461 rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 6:00 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 377208 and 2366?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 175887?\nAnswer: -1\/175887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - m**2 + 0*m**2 - 4*m - 13*m**3 + 3*m**2 + 1 + 0 in the form d*m**2 + c*m**3 + j*m + i and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 213. Let h be o(-36). Let z = h + -155. Suppose 0 = -6*q + 4*q + 36. Calculate the smallest common multiple of z and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14145 at least 99005\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 5686 + 4 + 8\/(-4) + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -12 - -5) + -6 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*x + 2 - 2)*(-101 + 40 - 8647*x + 23 + 38) to y + m*x + p*x**2 and give p.\nAnswer: -69176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = f - 955 - 12050, i - 2587 = -3*f. Is 37 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g**(5\/4))\/((g*g**9\/g*g)\/(g\/g**(6\/19))) assuming g is positive.\nAnswer: g**(-537\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -9*o - 579375. Let p be (960\/9)\/((-6)\/o). What is p rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = 1249*x - 1220*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-27)\/(-33)) + (-8 - -5). Let s be 1\/(18\/(-22)) + 1. What is the second smallest value in s, -0.4, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sssmmmmsmmsm?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l**2\/11 - 5790*l\/11 + 70632 = 0 for l.\nAnswer: -7194\/13, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 46590679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5827 + -5829. Which is the fifth biggest value? (a) -0.1 (b) -1\/2 (c) -4 (d) -5.1 (e) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35714 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - y)*(-y**3 - 3*y**3 - 2*y**3 - 2*y**3 + 3*y**3 - 3*y**3 + (-y + 0*y + 3*y)*(-y**2 - 1 + 1))*(-5*y + 4*y - y).\nAnswer: -20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 370612620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -678 - 96 = -9*p. Calculate the remainder when 238 is divided by p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/157? (a) -0.563 (b) -5 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4173 is divided by 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23\/5 in -0.2, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -32, -36, -42?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 4*a**2 - 4*a + 4. Let f be x(-6). Suppose 679 = -20*j - 841. Let b = f - j. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15485 in -12, -0.1, 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-246)\/(-205))\/(6\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 176677, 1, -1, 4, 0 in ascending order.\nAnswer: -1, 0, 1, 3, 4, 176677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31634 is divided by 200.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 51\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 5.6, 0.18, 4\/3, -10\/7?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*s**2 + 236*s - 180 wrt s?\nAnswer: -14*s + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**4\/6 - 2*m**3 + m**2\/2 - 25*m. Let p be k(-5). Suppose p*d - d = 270. Calculate the remainder when 75 is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172716 and 189832.\nAnswer: 21071352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 3:17 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 130351 - -15?\nAnswer: 130410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37556767?\nAnswer: 37556767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 36589780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215882, 431725, 647516, 863255, 1078942, 1294577, 1510160?\nAnswer: 1725691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + (sqrt(1008) - ((sqrt(1008) + 5 + 5 - sqrt(1008)) + sqrt(1008)))**2.\nAnswer: 12*sqrt(7) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7826.143 rounded to the nearest 10?\nAnswer: -7830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -2*t. Suppose -t*j - 4 = -2*l, j - 54 = 2*l - 7*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1447*v - 883*v + 754*v - 282880 = -892*v for v.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2948 greater than -2948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534374422?\nAnswer: 2, 267187211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 12*s - 18130. List the prime factors of s.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2010309221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14902 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 25\/((-7425)\/(-22)) - 1626\/81\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -9, 0.3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2, 1\/4, 141350?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, i: 4, n: 2, z: 3, l: 6}. Give prob of sequence inz.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -10 + 10 + g. Let p(s) = s - 3. Let a be p(2). Let v(w) = -w - 68 + 68. Determine a*h(k) - 2*v(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + sqrt(17)) + sqrt(17))**2 + sqrt(17) - (2 + 1 + sqrt(17)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -56*s**2 + 50*s - 95. Let c(i) = 56*i**2 - 49*i + 76. What is 5*c(z) + 4*f(z)?\nAnswer: 56*z**2 - 45*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 595615577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/2 + 64377*v**2\/2 + 344883177*v\/2 - 5187742605\/2.\nAnswer: 3*(v - 15)*(v + 10737)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -607166678?\nAnswer: -607166674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l + 21*l - 28*l - 22*l**3.\nAnswer: -22*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21912.\nAnswer: 2, 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 5 - (15\/6)\/5\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*w + 100*w = 141*w - 4620 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6592.998 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 9016*o**2 - 2*o**3 - 18035*o**2 - 7*o + 9021*o**2 - 9*o in the form q*o**2 + c*o**3 + f + l*o and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*h - 12. Let x = -11376 + 11440. What is the highest common divisor of h and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1053019971 to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 249, 240, 227?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -34.9569?\nAnswer: -6.99138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 1:45 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 267 in 4, 3, -2\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mstko. Give prob of picking 1 t and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 12 = 4*l - 4*u, 0 = -2*l - 5*u - 6. Let w be (3 - (-11)\/l)*6. Let f(q) = -q - 1. Determine f(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81257587.\nAnswer: 37, 179, 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 0*l**3 - 7 - 3*l - 1\/30*l**6 + 3\/5*l**5 + 0*l**2 - 29\/6*l**4. What is the third derivative of n(i) wrt i?\nAnswer: -24*i + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168182 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.65 and -0.4?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565862345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14409 + 11346 = -1462*a + 3825 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164 + 171. Which is the fourth biggest value? (a) x (b) 4\/9 (c) 1\/5 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26099192 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/22229843 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6242, 7756, 10286, 13832, 18394, 23972, 30566?\n\"Answer: 508*d**2 - 10*d + 5744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, f: 2, k: 4, p: 2, g: 1, y: 2}. Give prob of picking 1 k and 2 y.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 171971459 and 15633769?\nAnswer: 171971459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.0461 (b) -1.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 370 = 9550. Suppose 20*x - 4*x = v. Calculate the remainder when x is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104 + 220. Suppose 0 = 4*r - 4*x - j, -4*r - 7*x = -3*x - 148. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-256)\/192 - 8\/(-6). Solve -3*h - 10 = -2*c - 1, k = -3*h + c - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/303? (a) -2 (b) 5 (c) -0.1 (d) -2\/9 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 310200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34006, -136049, -306100, -544159, -850226?\nAnswer: -1224301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 1, n: 4, f: 1, a: 2}. What is prob of sequence ns?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55a (base 11) in base 16?\nAnswer: 29e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**4 + 3 - 211*t**3 + 4*t - 65*t**3 + 269*t**3 as f + y*t**4 + c*t**3 + r*t**2 + k*t and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. Let h(i) = i**2 + 7*i + 3. Let u be h(-7). Find the third derivative of -l**u - l**2 - l**3 + 0*l**y wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 4*s + 3*s + s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/16 and 93\/298846.\nAnswer: 2390768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8682133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.21 + -0.210019. Round i to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (665*p - 1416 + 711 + 704)*(-4*p**2 + 6*p**2 + 4*p**2 + (-p + 4*p - 2*p)*(p + 5*p - 4*p) + 3*p**2 - 6*p**2 + 4*p**2).\nAnswer: 5985*p**3 - 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 7:14 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 k, 1 b, and 1 l when four letters picked without replacement from bbebevekbkvyvbvlkek.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.108838 times -104\nAnswer: 11.319152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22852011.6us in days?\nAnswer: 0.000264490875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2530 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(3\/2))\/((t*(t\/(t\/(t**(-5)\/t)))\/t)\/t))\/(t\/(t*t\/(t*t**(-8)*t))*t*(t*t**(-1\/16))\/t) assuming t is positive.\nAnswer: t**(249\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*l = -4, 4*o - 3*l = 48. Suppose -6*v + 42 = -8*v. What is the remainder when o is divided by (-6)\/14 - 93\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 16 - 2 + 1 + 69*h - 8 as r + j*h and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 53559072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.092 + 0.908. What is the nearest to c in 3, -3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**4 + 129304*i**2 + i - 120615 wrt i?\nAnswer: 24*i**2 + 258608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904 is divided by 130?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - (sqrt(54)\/sqrt(3))\/sqrt(3))\/((sqrt(8)*-2 + sqrt(8))\/sqrt(4)) + -6*sqrt(432)*-1 + -2)**2.\nAnswer: -288*sqrt(3) + 15556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**3 - 9*h**2 - 9*h + 5. Let u(z) = 13*z**3 + 13*z**2 + 13*z - 7. Suppose -175 = 24*v - 7. What is v*n(s) - 5*u(s)?\nAnswer: -2*s**3 - 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-56)\/(-20)*(45\/6)\/3. Let q be (-231)\/(-22)*60\/j. Let g = q + -87. Solve -3*d + g*h - 12 = 0, 0*d + 5*h = 2*d + 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2 + 4*k - 4. Let p be i(5). Suppose 4*h + 24 - p = 0. Calculate the remainder when h is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1106*t = -3*n - 1104*t - 1, -5*n = 4*t - 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7520 + -7519.89071. What is b rounded to three decimal places?\nAnswer: 0.109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -7*n + 3. Let j(t) = 4*t - 1. Let l(u) = 5*j(u) + 3*x(u). What is l(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(99)\/sqrt(9) - (sqrt(11) - (sqrt(704) + -5)))*-4.\nAnswer: -20 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - 23. Let j = o + 41.8. Sort 0.2, -0.3, j in ascending order.\nAnswer: -0.3, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1012, 994, 956, 892, 796, 662?\n\"Answer: -d**3 - 4*d**2 + d + 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -35*i**3 - 7*i. Let g(w) = 17*w**3 + 3*w. Determine 3*f(b) + 7*g(b).\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -308, -469, -682, -905, -1096, -1213?\n\"Answer: 7*s**3 - 68*s**2 - 6*s - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 27\/(-6))*(-6)\/(-5). Suppose -t*f + 7 = -2. Suppose 5*i = -2*k + 55, 0*k - 10 = -2*k. Calculate the highest common factor of f and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6*c - 651 = 0. Let r = c - -574. What are the prime factors of r?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 66*s - 63*s + 2, -2*b + 20 = -2*s for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-27)\/6)\/((-35)\/20 + (-2)\/(-8)). Solve u*t + 3*v = -15, 12*v = -3*t + 17*v + 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 932558003181?\nAnswer: -932558003191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -215031.783 to the nearest one hundred.\nAnswer: -215000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7488) + sqrt(7488)*3 + sqrt(7488))**2 + 3 - (4*(sqrt(13) + 2) - -6*sqrt(117)).\nAnswer: -22*sqrt(13) + 187195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a382b5 + 7?\nAnswer: 1a38300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 10*x + 12. Let s be p(6). Let b be (-18)\/s*2\/1. Solve 3*l = -2*z - 1 + 2, -4 = b*l + z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1804847 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 1. Let w be f(-5). Let i(g) = g**2 + 2. Let r(k) = -3*k**2 - 7 + 2*k - 2*k. Determine w*r(b) + 14*i(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1126*o - 2273*o + 11034*o + 5279*o.\nAnswer: 12914*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1674 and 2790.\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 5*w - 2. Let f be b(-3). Let v = -32 - -34. Suppose o - v = 26. Solve -o = 5*k - f*i, -k + 4*i = k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10403798 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 0.028?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 112 - 4. Suppose 3*t + u + 55 = 0. Let r = -2 - t. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**7\/840 + r**6\/90 - r**5\/40 + r**4\/4 - r**3\/6 + 3*r**2. Let q(m) be the first derivative of s(m). Give q(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o - 42. What is the common denominator of -2*1 + 147\/(-28) and x(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 167 = 5. Let c = -125 - p. Let h be -4*(-1 - 46\/c). Is -2\/5 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-333)\/(-6) + 15\/30. What is the highest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10455 divided by 51.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 19, 30, 57, 106, 183, 294, 445?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpqf when four letters picked without replacement from fqfqfqqqfsp?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from ipjijapkaapaaijiai.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 20 = 0, -109*o - 5*g = -107*o - 29 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-18) + (-66)\/(-54))\/6. Which is the smallest value? (a) -2\/5 (b) r (c) -5 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4258\/39 or 109?\nAnswer: 4258\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from cveeyccceccceccvcehu.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 10) in base 6?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77021288.\nAnswer: 2, 17, 19, 41, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1042, 1 in decreasing order.\nAnswer: 1042, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 142598761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 360, 1, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 5056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 416 and 692?\nAnswer: 71968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 8*d - a - 14 = 0, 0 = 2*d + 2*a. Let f(t) = -t**2 - 2. Calculate f(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-7))\/((-8)\/(-28))*(-201)\/201?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4024 + 120?\nAnswer: -3404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = w - 2*f - 8, 4 = 4*f. Suppose -w*m = -101 - 134. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*w + 2*b - 270 = 0, b = 3*w - 195. Let y be (-1)\/1 - (-2 + 34). Let u = y + w. What is the remainder when u is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/84*-4 - (-19)\/28. Which is the nearest to m? (a) 6 (b) 12\/13 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 344278988?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -16, 0.\nAnswer: -16, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4611035, -9222069, -13833105, -18444143?\n\"Answer: -v**2 - 4611031*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5801 + 10074 = 635*n for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26321.\nAnswer: 26321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(4 - 4 - 2*c**5) - 2*c**5 - c**3 + c**3 + (16*c - 10*c + c)*(c**4 + c - c) + 16*c**5 + 42*c**3 - 42*c**3.\nAnswer: 25*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (11 - (-294)\/(-12))\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -149.379 - -151.12237. Let l = u + -1.74. What is l rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 7\/(-14) + 6)*-15*1\/(-120).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1 = 3*t, 0*t = -t + 3. Solve -4 = -2*c + i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*u, 0 = -2*u - 3*u - 4*g. Let r(y) be the second derivative of 0 + 2*y + u*y**2 - 1\/100*y**5 - 1\/60*y**4 + 0*y**3. Find o, given that r(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003295 rounded to seven decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/2110971 and 47\/71773014.\nAnswer: 71773014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.4744 millilitres in litres?\nAnswer: 0.1114744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1929171*y**2 + 2793*y - 1. Let d(w) = -30*w**2 - 3*w. Let p(b) = 5*d(b) + j(b). Solve p(g) = 0 for g.\nAnswer: 1\/1389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15138 by 7569.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -416, 292 in decreasing order.\nAnswer: 292, 25, -416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000011011001 + 101?\nAnswer: -110000011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5451 - -5453. What is the nearest to -1 in s, -2055, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t - 61. Let o be q(20). Sort o, -3, 2, -4 in ascending order.\nAnswer: -4, -3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4628\/180 - 22\/(-330). Factor x*s + 28\/9*s**2 + 64\/9.\nAnswer: 4*(s + 8)*(7*s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7188641?\nAnswer: 1097, 6553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 1152*x.\nAnswer: -4*x*(x + 288)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136758 by -6.\nAnswer: 22793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -641016 (base 7) in base 12?\nAnswer: -54156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2937245 - 1466304. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * -13.9\nAnswer: -1.529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -581 - -590. Let k = 339 - 139. Suppose -b*v + k = -v. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4)*-2)\/((-2)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 + -38. Let a = f + -35. Let o(h) = 2*h - 8. Calculate o(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**6*r - 23888*p**4*r - 5*p**2 - 1757*r wrt p.\nAnswer: 120*p**3*r - 573312*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-888)\/(-37) + 1\/(2\/(-16 - 6)))*-5?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**2\/4 - 8751*u\/4 + 1739925\/2 = 0.\nAnswer: 475, 2442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.905998 rounded to 0 dps?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 538991?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 134471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) - (((0 + sqrt(162))*-5 + sqrt(162))**2 - sqrt(162)).\nAnswer: -2592 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(357)\/(sqrt(49)\/sqrt(7)))\/(sqrt(3) - 2*(sqrt(3) + (sqrt(3) - (-3*sqrt(3) - sqrt(3) - sqrt(3))))).\nAnswer: -sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + g. Let h(m) = 2744*m**2 - 7*m. Determine -2*h(t) - 14*o(t).\nAnswer: -5502*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 v when four letters picked without replacement from {n: 19, v: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 200 - 194. Let i(z) = -2*z - 6. Let n(d) = -2*d - 3. Let c(r) = q*n(r) - 3*i(r). Let m(j) be the second derivative of j**3 - 3*j. Give c(m(y)).\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.13 - 15.13. Let h = 12 + w. Let s be 4\/6 + (-8)\/30. Which is the biggest value? (a) -0.4 (b) h (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2. Let b be 2 - 5 - (-1 + 1*-49). Let i = -33 + b. Let x(h) = -14*h + i*h - 14*h**2. Determine x(y(m)).\nAnswer: -126*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -6*x**5 - 873*x**4 - 30117*x**3 + 113616*x**2 - 99684*x = 0.\nAnswer: -78, -71, 0, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-45)*6*30\/(-8)*60\/(-20).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -90190?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1442*c**4 - c**2 + 1475 wrt c?\nAnswer: -5768*c**3 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3452433253 + 5?\nAnswer: -3452433244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.6. Let u = -9 - -26. Let d = u - 21. What is the third smallest value in -0.4, d, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 + 8413637*k\/3 + 11218188.\nAnswer: -(k - 8413641)*(k + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 39265?\nAnswer: -39269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4429 smaller than 4407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46911950?\nAnswer: 2, 5, 19, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91653*-0.066.\nAnswer: 6049.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -6. Let w = -7 - t. Are w and 2 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -1\/120*w**6 - 1\/3*w**4 - 1\/3*w**3 + 0*w - 1\/12*w**5 + 0 + 2*w**2. Let v be a(-3). Solve 0 = t - v*t + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2.5. Let w = -0.3 - -1.3. Let b = w - n. What is the closest to -1 in -0.1, b, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -459*d - 6882. Let v be m(-15). Let h be 4\/(-10) - 84\/40. Which is the nearest to 5? (a) v (b) h (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.125*84255.\nAnswer: 10531.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312912 by -2.\nAnswer: 156456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-9)\/(h\/h**(1\/28)))\/(h\/(h*h**(-7\/6))*h*h*h*h**4*h*h) assuming h is positive.\nAnswer: h**(-1691\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/4))**(2\/31) assuming w is positive.\nAnswer: w**(-3\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 14*i**2 + 12*i + 15. Let g be l(13). Suppose -7*t + g*t = -280. Suppose 4*b - t + 28 = 0. Solve 0 = 5*f - 5*s - b + 2, -7 = -4*f + s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 24 = 4*i, -4*v - 26 = -3*i - 1. Suppose 0 = u - 10 - 2. What is the remainder when u is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9*g**5 - 2*g**2 + 7*g - 7. Let u(x) = -4*x**5 + x**2 - 3*x + 3. Let o(a) = -3*j(a) - 7*u(a). Find the third derivative of o(h) wrt h.\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 2, p: 1, a: 4, z: 3, o: 1}. Give prob of picking 1 f and 1 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -52180127 at least as big as -52180125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g - 15. Let x be o(-11). Suppose -3*n = -x - 221. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13\/23 - -1087\/92. Suppose -7*y + b + 87 = -2*y, 4*b = 3*y - 59. Find the common denominator of a and -1*(y\/(-12) + -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3159\/54*7\/63*2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o = 0. Suppose 0 = -o*d + 2*d. Suppose 12 = 2*w + x, -w + d*x = -x. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -0.4, -4213?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60)\/sqrt(4)*-6 - sqrt(15)) + sqrt(15))\/(sqrt(5) - (sqrt(245)*-1 + sqrt(245))) + ((sqrt(90)\/sqrt(5))\/sqrt(2))\/(sqrt(3) - sqrt(24)\/sqrt(2)))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 1, a: 5, l: 4}. Give prob of sequence aa.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15.2*-8\nAnswer: 121.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 43 = -29 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b + 53. Let f be u(-10). Solve 0 = 3*y + 5*g + 7, 6*y - 9 = f*y + 3*g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**3 - 2 + 2 - 12*h**3 + 21*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**2 - 11*m - 3. Let g be t(-8). Suppose -3*f - 3*o = 2*o - 60, -75 = -4*f - g*o. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43216*p + 43216*p + 4*p**2 + 44 in the form l*p + b + g*p**2 and give b.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 t when four letters picked without replacement from {r: 3, t: 7, b: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -4*n - g + 35, -5*n = 2*g - 130. Calculate the remainder when n is divided by -1*(1\/(-8) + 195\/(-40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2. Let h(v) = v**2 + v + 1. Let w(o) = h(o) - 6*j(o). Let k = -1 - 0. Give w(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 560, 1120, 1680, 2240?\n\"Answer: 560*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 + 8 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c + 2022 - 3480 = 0. Solve 45*j = c*j - 108 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1992 - -85?\nAnswer: -1907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 340625 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: Factor 15*b**5 - 230*b**4 + 75*b**3.\nAnswer: 5*b**3*(b - 15)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(720) + 1 + -3 + sqrt(720))**2*1.\nAnswer: -48*sqrt(5) + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 13*c - 18. Let j be (-60)\/(-14) - 48\/168. Is m(j) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 50ae?\nAnswer: 50af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 - 0.1994?\nAnswer: -0.0694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/4315053 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-220))\/(115\/(-575)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.4 + -1.4. What is the closest to b in 8\/9, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -6 (b) 108 (c) -3\/8 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -3 + (-7 - (58 + -19)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4035677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 4*t**2 + t - 4. Let f be b(3). Find the second derivative of 0*s - f*s**2 + s**2 - s - 3*s wrt s.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 - (2 - 6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*m + 21 = 4*p, -2*p - 3*m + 29 = 0. Suppose -2*y = -5*n + 3*y + p, 0 = -4*n - y + 8. Let i = 25 - 13. Solve n*v - i = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**6\/660 + d**5\/330 - d**4\/132 - d**3\/33 + 32*d**2. Factor w(a).\nAnswer: 2*(a - 1)*(a + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2000767, -2000760, -2000753, -2000746?\n\"Answer: 7*o - 2000774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccct when four letters picked without replacement from cttcc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 110 = -0*v. Let q be 378*((-14)\/4)\/(-7). Let p = v + q. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-889390)\/54 - (70\/20 + -4). Let w = -16469 - p. What is the common denominator of w and 52\/9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 22*o**2 - 114*o + 10. Is a(-16) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4073\/282 + 718\/47. Determine o, given that -1690\/3 - 130\/3*o - c*o**2 = 0.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -213*x**8\/28 - 3857*x**4\/24 + 2*x**2 - 964*x + 2. Find the second derivative of q(s) wrt s.\nAnswer: -51120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2. Let a(f) = 227*f**2 - 3413*f + 1707*f + 1706*f. Determine t(a(n)).\nAnswer: 103058*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -313200960.6 + 313222162.85921. Let a = j - 21201. Let v = -1.26 + a. What is v rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 0 + 0*i**4 - 3*i**2 + 45*i + 7\/5*i**6 + 0*i**5 + 0*i**3. Find the first derivative of w(x) wrt x.\nAnswer: 168*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 2, -2, 4, 26, 70, 142, 248?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 + 112. Suppose 0 = 4*p + 5*s - 35, -s - 4 = 3*s. Calculate the highest common divisor of a and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 603*f - 4767. Give o(8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62770569 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a66 (base 11) in base 4?\nAnswer: 2100310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 - -0.25. Let t be ((-902)\/(-8))\/((-36)\/(-32)). Let i = t + -100. Which is the third smallest value? (a) 0.5 (b) l (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 7. Suppose -5*k + 7*d = 2*d - 10, -5*k = 2*d - 31. Let q be v(k). Suppose -j = -3*j + q, -5*j - 230 = -5*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 40. Let w be n(-10). Let t(f) = -w*f**2 + 17*f**2 + 14*f**2. Let u(h) = -18*h. Give u(t(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-36)\/(-24) + 3\/2. Suppose -y + 20 = -r*i + y, y - 4 = 0. Is 3 a factor of (i\/6)\/(7\/(-189))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13958173 a multiple of 792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 90\/20 + (-6 - -5 - 4). Put -56, j, -2 in descending order.\nAnswer: j, -2, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48948\/11 + -4450. Put -0.3, m, 1\/5, -0.58, -5 in increasing order.\nAnswer: -5, -0.58, -0.3, m, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5985*o + 6479*o = 8398 + 10374 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*r + 31960 - 9908 = 0 for r.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4418422 - 4415412.009. Let f = 2988 - s. Let y = 22 + f. What is y rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -26 + 1 + 11*c + 3*c**2 + 11. What is the hundreds digit of a(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 10*s + 5. Let g be p(-10). Let a(z) be the third derivative of 0*z**4 + 0 - z**2 - 1\/120*z**g + 0*z + 0*z**3. Factor a(h).\nAnswer: -h**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1043*v + 1045*v = -2*m - 20, -12*m - 39 = 3*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(3\/((-114)\/4)). Let f be 2 - -56 - (23 - 22). Suppose 3*u - 4*u - f = -3*d, -u - j = -d. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249*t - 254*t = -25. Solve 2*h - 23 = t*h - 5*i, -h + 4*i = 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = -9*l + 3*l. Let j = -1 - -5. Solve j = -h - l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 390\/260*(-121)\/(-480) and 79\/6.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 37925, 75464, 112989, 150494, 187973?\n\"Answer: -b**3 - b**2 + 37549*b + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 7*i - 6. Let p be 576\/80 + 1\/(-5). What is q(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 23. Let a be s\/(1 + 0)*-1. Let m = 12 - a. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjh when three letters picked without replacement from {h: 6, j: 6, u: 7}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21709930 and 1210.\nAnswer: 238809230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1520 and 1672.\nAnswer: 16720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y**3 + 43*y**2 + 6*y + 10. Let x(d) = 8*d**3 - 42*d**2 - 5*d - 8. What is 5*c(s) + 6*x(s)?\nAnswer: 3*s**3 - 37*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2296*y + 1104*y + 1088*y - 3432 = 0 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4123167 and 7098459.\nAnswer: 9183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 6*n = 65. Suppose d + 4 = 0, -n*y + 9*y = -2*d + 28. Let v(h) = -h**2 + 10*h - 5. Give v(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 5*t - 6, -4*t + 2 = y - t. Suppose -6*r + y*r = s + 1, 4*s + 4 = 2*r. Let c = -4 - -8. Is s greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*l - 2. Solve -8 - 2 = l*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 214849, 214854, 214863, 214876, 214893?\n\"Answer: 2*g**2 - g + 214848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/20586 and 37\/730?\nAnswer: 102930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 5*g + 7. Let o be z(6). What is the highest common factor of 8 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 348*h**3 + 29*h**3 - 152 + 78 + 74.\nAnswer: 377*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -5 (c) -21.57 (d) -0.04 (e) -1.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 180 = -0*l + 2*j, -5*j - 54 = -l. Suppose -2*h = -60 - l. Let x = 79 - h. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-14) - (-528)\/(-728). Let k = -17.9 + 18. Which is the nearest to -2\/5? (a) k (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 925342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**3 + 9*j**2 + 82*j + 581. What is l(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6415\/14 + 453. Let h(b) = -24*b. Let a be h(-3). What is the common denominator of z and 802\/a + 8\/(-36)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 3*u**2 - 1. Let v be s(-3). Let h(q) = q**2 - 12*q + 17. Let d be h(7). Let f = d - v. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i**2*k**3 + 30783*i**2 - 4*i*k**2 + 94*k**4 + 79*k**3 wrt k?\nAnswer: 24*i**2 + 2256*k + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.87 and 29701180892.\nAnswer: 29701180892.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 4*a**2 + 3*a - 5. Let w be p(5). Let u be (-1248)\/w + (-20)\/(-25). Suppose -3*o = 5*m - 127, m + u = 2*o + 5*m. Is 29 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, e: 1, b: 1, u: 1}. What is prob of sequence tu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1801, -3532, -5263, -6994, -8725, -10456?\n\"Answer: -1731*r - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -42.115. Let b = f + 130.115. Let h = b - 129.99941. Round h to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s - 1 - 2*s - s + s**2. Let g(d) be the second derivative of -d**4\/6 - d**3\/3 + 3*d**2\/2 + d + 7. What is g(j) + 3*y(j)?\nAnswer: j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 69 + 4*z + 4*z**2 - 35 - 37. Let y(b) = 15*b**2 + 7*b - 12. Let w(k) = 14*k**2 + 8*k - 11. Let f(u) = 4*w(u) - 3*y(u). Determine -6*f(m) + 17*o(m).\nAnswer: 2*m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1753080400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**5 + 185*k**4 + 375*k**3 - 22625*k**2 + 12220*k + 236640 = 0. What is k?\nAnswer: -29, -17, -3, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242 and 50168294.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uow when three letters picked without replacement from dqweuuo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 6. Let x be 280\/36 + (-6)\/(-27). Suppose 0 = -y - 2*t + 5*t - 6, 4*t = -4*y + x. Solve -s - 2*f + 4 = -y*s, 5*s = -g*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8*p**2 - 7*p - 7. Let y be (56\/252)\/((16\/108)\/4). Let x(c) = -3*c**2 - 2*c - 2. What is y*q(f) - 21*x(f)?\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 2, 31, 72, 125, 190?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 - 5*r**2 - 2*r - 6. Let n be f(-5). Let l = 189 - n. Calculate the greatest common divisor of 24 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + k = -93. Suppose -3*v - 9 = -4*n + k, 0 = 2*n - 2*v - 22. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3397721 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (-12 + 66)) + 220 + -194.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 7*r + 6. Calculate the lowest common multiple of 6 and n(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2452 is divided by 788.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g - 8 = -2*h, 4*g = -2*h + 8. Solve g - 10 = -t - 2*f, 0 = t - f + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - 2120?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 145 = -40. Let j be (-28)\/z*(-5 - 0). Solve -s + 0 = -2*y + 1, j*s - 2*y + 16 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 10:42 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*r**5*u - 3*r**4 + 6*r**3*u**2 + 16*r**2*u - r**2 + 2*r*u**2 wrt r.\nAnswer: -240*r**2*u - 72*r + 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-5)*(-192)\/320?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -11*h**5\/60 + h**2 - 67*h. Let o(w) = -w**2. Give q(o(u)).\nAnswer: -11*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/18 + -2)\/(4\/18).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(110)*-2)\/(sqrt(10) + sqrt(80)\/(sqrt(32)\/sqrt(4))) + -5*(sqrt(1100) + -1 + -2)**2.\nAnswer: -5545 + 304*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69930386041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 9. Let j be o(5). Suppose j*z = 11 + 13. Solve 5*b = -26 + z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.328816kg?\nAnswer: 0.005328816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 6*y**2 + 2*y + 5. Let v be z(-3). Let h = -33 + 58. Which is greater: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3990 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c + 2. Let a be g(2). Let z = 14 - 1. Suppose -2*i + z = 3. Solve -1 = i*m - a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - 203\/(-35))*(-15)\/(-306). Is -3\/2 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 21 = -r - 2*r, j = -3*r + 24. Let d be -5*(-2 - (-16)\/10). What is the common denominator of (3 - (-120)\/j) + d and 41\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 317472 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3 - 22\/(-4)) + 3)*2. What is the third derivative of 0*q**2 - w*q**3 + 5*q**2 + 2*q**3 - 13*q**3 wrt q?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 147866 - -5?\nAnswer: 147871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - 3)\/(-5) - -3. Suppose -2*u + r*v + 46 = 0, -v + 3 = -2*v. Suppose 0 = -5*i - u + 60. Calculate the highest common factor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -372, -742, -1110, -1476, -1840?\n\"Answer: l**2 - 373*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 1, b: 5, s: 3}. What is prob of picking 3 s?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 10. Let m = 7 - x. Is (-40)\/m*(-23)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - 3*c + 3*c)*(-21 - 15*c + 33*c - 17*c)*(-1 + 3*c + 1).\nAnswer: -3*c**5 + 63*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/(9906\/1143)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/5)\/((-5)\/325). Let n(y) = 5*y + 132. Let r be n(w). Solve a - 12 = -r*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -31*y - 3. Let l(k) = -2*k**2 + 3. Determine x(l(d)).\nAnswer: 62*d**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103\/3 - -34. Let g = -0.2 + 0.4. Let f = 0.2 - 0.3. Which is the closest to f? (a) i (b) -3\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 729 - 705. What is the remainder when (18\/g)\/((-3)\/(-596)) is divided by 55?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 5*s. Solve -5*r = -s*r + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -2*x + 2*d + 340, 3*d = 6. Which is bigger: 286 or x?\nAnswer: 286","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 - 948*i - 71 + 151 - 4497*i.\nAnswer: -5445*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = -5*r, -48 = -x - 3*x + r. Let f(a) = -a**3 - 3 + a - 3 + 13*a**2 + 0. Let n be f(x). Is n less than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.949 less than 0.03?\nAnswer: 1.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -128 + -14. Let n = -141 - g. Sort 8, -1, n, -8.\nAnswer: -8, -1, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 951 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 9:46 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (7 - -7) + -7 + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 7\/109, 1098, -2?\nAnswer: 1098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 40*34084\nAnswer: 1363360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*x**5 - 1556*x**4 - 10582*x**3 - 15452*x**2 + 6384*x = 0. Calculate x.\nAnswer: -4, -3, 0, 1\/3, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 109*k. Let y(v) = -2*v. Calculate -j(q) + 2*y(q).\nAnswer: -q**2 - 113*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-90))\/((-5)\/15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 4*i**2 - 4*i - 5. Let t be q(5). What is the second derivative of t*j - 9*j**2 - 3*j + 8*j**2 wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122120203031 (base 4) in base 10?\nAnswer: -6916301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.032586 to four dps.\nAnswer: 0.0326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*s + 93, 0*q + 4*q + 137 = 3*s. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 73 = -2*b, -b - 969*w - 2 = -974*w for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/11))**34\/(a**(-15\/4)*(a\/(a\/(((((a**(-2\/15)*a*a)\/a)\/a)\/a)\/a)))\/a) assuming a is positive.\nAnswer: a**(12703\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 - 6*o + o**2 + 7*o + (-2*o - 1 + 1)*(1 - 1 + 2*o) - 2*o**2 + 3*o**2 - 2*o**2.\nAnswer: -6*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 305411504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*l - 596 = -11*l + 199 + 945 for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43964163?\nAnswer: 3, 4884907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/8*(2 - -2*15). Suppose 0 = 2*l - 31 + 27. Calculate the lowest common multiple of (((-112)\/q)\/(-7))\/((-4)\/174) and l.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9737 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (-52)\/(-64) - 4 and -41\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 1097\nAnswer: -109.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9433.3 plus 8587?\nAnswer: 18020.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*c = -2. Let b = c - -3. Solve 15 = -b*l - 0*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 60229 from -39.\nAnswer: -60268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 620 and 2325186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80730225*d**4\/7 + 645859770*d**3\/7 - 1291827361*d**2\/7 + 287528*d\/7 - 16\/7.\nAnswer: -(d - 4)**2*(8985*d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(204)\/sqrt(108).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10511, 10784, 11247, 11906, 12767, 13836, 15119, 16622?\nAnswer: 18351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -14, -16\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, m: 2, u: 7}. Give prob of picking 2 u.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 16*k**3 + 10*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 305613.7 minutes?\nAnswer: 18336822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28094)\/33*162\/(-4). Suppose 14*c + 13*c = g. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1))**(-1\/2))**(-1\/8) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 2)*(-6*c + 2*c + c) + c - 3 + 3)*(527 - 527 + 27*c**2).\nAnswer: -54*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**3 - 6*m**2 - 11*m + 9. Let b be -13 - 3\/3*-2. Let w(q) = -527*q**2 - 9 + 2*q + q**3 + 11 - 4 + 528*q**2. Give b*w(h) - 2*p(h).\nAnswer: -h**3 + h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 55656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(5 + 2552\/(-44)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/(-14)*(-1 + 1). Solve n = 3*z + z + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005031 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 11. Suppose 4*b - 3*b - 3*y = 7, -4*b - 24 = y. What is the smallest common multiple of (8\/b)\/(6\/(-15)) and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 913840393 to the power of 1\/2, to the nearest integer?\nAnswer: 30230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/4009060 and 29\/9621744.\nAnswer: 48108720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -12*t**2. Let m(i) = -i**2. Give z(m(f)).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 0 - 33\/3. Let p = -7 - o. Suppose 37 = -p*g + 147. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*k - y - 12, -5*k + 40 = 5*y. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 21, 35, 49, 63?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 5:37 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.037*-6588428.\nAnswer: 243771.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 2:52 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 take away 1.3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-6 - 11*a + 6)*(-2 + a + 2).\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1 = 4. Let d be (1 + -1 + g)*-4. Is d\/(-10) - (-633)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -5, -3\/4, 1\/3, -2 in increasing order.\nAnswer: -5, -2, -3\/4, -1\/10, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 4. Let l be z(6). Let f be 3*4\/6*1. Solve -l*p = -0 - f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -678 + 1345 + 8*s - 672 + s**2. Calculate h(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -415.\nAnswer: -1\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**5 + 5*x**3 - 11*x**2 + 3*x - 11. Let p(l) = l**5 + 2*l**3 - 4*l**2 + l - 4. Let w(r) = -11*p(r) + 4*u(r). Factor w(m).\nAnswer: m*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 33 = 3*x, 32*k - 2*x + 26 = 30*k. Let u = 34 + -53. Sort u, -4, k in ascending order.\nAnswer: u, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(-3\/16)\/(u\/(u\/(u**(2\/5)\/u)))**(-19))\/((u*(u*u\/u**(2\/5))\/u)**(-30))**(-19\/3) assuming u is positive.\nAnswer: u**(-1577\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 4*l - 6. Let z = 8 - 2. Let t be u(z). Let b(o) = 2*o + 2*o**2 - 1 - 4*o + t*o. Give b(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.045 + 4.955. Which is the nearest to 0.2? (a) 2\/13 (b) -13 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5636 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 h when four letters picked without replacement from tbtbbbfbthhfb.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 17482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c - 219 - 6 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2020989650 by -2.\nAnswer: 1010494825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2229*g + 4095 = 2424*g for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(2*i - i - 2*i) + 2*i - 4*i + 0*i + (6 + 6*i - 2*i + 3*i)*(-2 + 3 + 1) as s*i + l and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6107202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2) + -2 + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 - -220212?\nAnswer: 220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1965 + 1980. Calculate the remainder when w is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*4\/(-230) - 16\/(-4048)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + -50. Let s = 9.3 - r. Sort s, 19, -1\/5 in decreasing order.\nAnswer: 19, s, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -224 - 73. Let z = a - -868. List the prime factors of z.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39574445 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1062*c**2 - 7*c + 10. Let p be a(6). Round p to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - n - 4 = -3*g, -40 = 3*g + 696*n - 703*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-12))\/(795\/(-424)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10919, 43721, 98403, 174965?\nAnswer: 273407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-45)\/(-10) - 4)\/((-2)\/(-68)). What is the highest common factor of 85 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1135 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 26 + (-2575)\/100\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 219 - 221. Let q(i) = i**3 + 3*i**2 + 5*i + 11. Let z be q(w). Solve 3*n - 4*n = 4*s - 2, -n + z*s + 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 5*d + 14, -3*w + 2*d + 9 = 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 151887 and 2561?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -3. Let b be (-3)\/(-3)*(c + 179993). Suppose 2*s - 4*x - 40555 = 319453, -s + b = 4*x. What is s rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -19*k + 96. Let w(x) = 38*x - 209. Calculate -9*q(o) - 4*w(o).\nAnswer: 19*o - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47874976 and 6?\nAnswer: 143624928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 837 and 3069?\nAnswer: 9207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 781 and 12709.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-15) + (-1)\/(6\/4). Suppose y = m, -2*m = -2*t - 2*t - 56. Is 4 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 7:17 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2. Let r(i) be the first derivative of i + 2. Let p(o) = -6*o**2 + 5. Let d(k) = p(k) - 5*r(k). Determine d(x(s)).\nAnswer: -6*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 3*a**3 - 9*a - a**3 - a**2 + 12 - 3*a + 11*a to the form n*a**3 + c + i*a**2 + j*a and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 2)*(1 - 4 + 2)*(1 + 1 - 4)*(2 + 0 - 1)*(3378 - 120*s - 3378) in the form a*s + u and give a.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/170681 and 2\/1813?\nAnswer: 1194767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -59730.\nAnswer: 29865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 4. Let r(f) be the first derivative of -f - 6522. Let g be (-1 - 2)\/(3\/2). Let k = 1 + g. What is k*y(s) + 5*r(s)?\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 0 - 1\/10*d**5 + 0*d**4 + 4\/9*d**3 + 1\/45*d**6 + 0*d**2 - 7*d. Factor i(s).\nAnswer: 2*s*(s - 2)**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 402 - 403. Which is the closest to 1? (a) 1 (b) z (c) 10.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154\/(-70)*(36\/(-33))\/3.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9))**14 assuming m is positive.\nAnswer: m**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 687\/784 - 1\/784. Calculate the common denominator of 41\/3 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 20305.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2013*v - 7200 + 15607 = -212*v - 110459 for v.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/328 and -137\/498744?\nAnswer: 20448504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 5*z**2 - 5*z + 1. Let v be y(6). Let p = v - 2. Let u(j) = -7*j**2 + 1 + p*j - 4 - j + 6*j**2. Determine u(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a milligram in micrograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is d90 (base 14) in base 4?\nAnswer: 221302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 - 3*z**2 - 2*z - 3. Suppose 13 = -4*v - 5*r - 5, 3*v + 2*r = -10. Calculate the lowest common multiple of d(v) and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1872?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 - 40*j**2 - 40*j - 30. Give p(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c + 24. Let u be g(-12). Solve 5*x - 5 = -5*z - u*x, x - 1 = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 236834.\nAnswer: 23683.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(28\/(12\/3)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1759 = 4*y - 3*a - 809, a = 4. Let s = -198 + y. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**2 + 13032*f - 13036 = 0.\nAnswer: -3259, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxxgmgggmgmgmg. What is prob of sequence gg?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 15 + 12 - 40 + 9*a as j + w*a and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -233 - -231?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 50437.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = 422 + 586. What is the common denominator of (-48)\/n - (-4)\/(-1) and 7\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 - 1 - q**4 + 120*q - 120*q to w*q**3 + v + b*q + u*q**2 + t*q**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**6\/60 - w**4\/24 + w**3\/3 - 186*w**2. Determine t(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 3)*(7*f**2 - 3*f**2 - 2*f**2) + 21*f + 18*f**2 - 21*f + 0 + 0 - f**2 in the form j*f**2 + c + v*f and give j.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6717 (base 9) in base 7?\nAnswer: 20311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1154, -1267, -1380, -1493, -1606, -1719?\n\"Answer: -113*w - 1041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 10*c**2 + 22*c + 9. Suppose 0 = -w + 4*y + 23, -2*w + 37 = -0*w - 5*y. Let h be u(w). Is 13 a factor of -1 + 15\/13 - (-16880)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -38, -54, -64, -68, -66, -58?\n\"Answer: 3*a**2 - 31*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*b - 5*t - 2, -4*t = -4. Let k(x) be the second derivative of 0*x**b + 0 - 1\/15*x**3 + 1\/30*x**4 - 2*x. Factor k(f).\nAnswer: 2*f*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23)\/4 - (-24)\/32. Let m = o + 8. Differentiate m - 2 - 2*a + 1 with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*t + 4 = 0, -5 = 3*t - 11 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, s: 1, q: 2, h: 4, e: 2, c: 4}. Give prob of sequence qc.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 8*f**2 - f + 2. Let u(q) = -q - 8. Let b be u(0). Let y be i(b). Suppose -2*x = -y, -6*v + v + 4*x = 15. Sort -4, -3, v in increasing order.\nAnswer: -4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 5. Let q(u) = u**3 + 7*u**2 + u + 11. Let y be q(x). Suppose -y*z - 5 = -9. Which is smaller: z or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21654, 21665, 21676?\n\"Answer: 11*x + 21643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.28 - -0.02. Let r = -35 + 35.06. Let v = 0.11 - r. Which is the closest to -1? (a) o (b) 1\/4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-672)\/(-72)*(760\/(-140) - 4).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - s - 4, -5*r + 2*s + 123 = 0. Let y = -19 + r. Suppose y*p - 74 = -p + z, 0 = -2*z + 2. What is the remainder when 58 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -21. Let i(a) = -4*a + 4. Let n(w) = 6*w - 16. Let s(d) = -55*d + 143. Let g(j) = -44*n(j) - 5*s(j). Give h*i(k) - 3*g(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 14*i + 97. Let v be j(19). Let f(s) = 3*s**2 + 44*s - 33*s - 4 - 10*s. Determine f(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.08 + -0.22. Let d = -4.5 - c. Let j = d - -3.6. What is the biggest value in j, -0.3, -6\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-37 + 56) - (0 - (-5 - 1))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9979 + -2.9979. Which is the smallest value? (a) -5 (b) p (c) -4 (d) 0.07 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + 12. Suppose -13*h - b = -18*h. Let p(r) = r**2 - 9*r + 3. Let i(w) = -2*w**2 + 19*w - 5. Let o(y) = -4*i(y) - 9*p(y). Give o(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 2. Let a be 3\/(2*1\/2). Let t be 1\/(-4) - 100\/(-16). Let w be a\/5 - t\/(-15). Calculate d(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/15)\/((-2)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 37434*g - 13813141. Calculate f(369).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16.947430814 from 0.364.\nAnswer: 17.311430814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 290556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 4*k - k. Let i = -397 + 405. Let l(m) = 890 - i*m - 890 - m. Determine l(v(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 962417\/63 + -15276. Find the common denominator of m and 141\/140.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211141, -211124, -211105, -211084, -211061?\nAnswer: -211036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (12 - (1 - -10))) + (12 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 3:40 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**2 + 113*m - 1877. Give l(18).\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 - (-3 + 2)*-1. Let h(u) = u**2 + 6*u + 3. Let o be h(m). Find the second derivative of -g + 3*g**o + 2*g**3 - 4*g**3 wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34787 is divided by 17383?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 1. Let o(n) = n**3 - 5*n**2 + 1. Let m be o(5). Let k(f) be the first derivative of -7*f**2\/2 + 8*f + 13803. Give m*k(a) - 5*t(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100.3333 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 times 6?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -114.922.\nAnswer: 57.461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-16) + (-1)\/(-4)*359. Suppose 914 = -z*y + 92*y. List the prime factors of y.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-240)\/(-1280))\/(3\/((-72)\/(-102))))\/(1\/(-2)).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 3*g + g)*(g - g + g) - 1 - 20*g + g**2 + 23*g - 10*g.\nAnswer: -g**2 - 7*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -58. Let o = b - 20. Suppose -o*h - 5 - 3 = -v, -5*h - 10 = 4*v. Solve -3*g + 7 + 5 = v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40966, 40985, 41018, 41071, 41150, 41261, 41410, 41603?\nAnswer: 41846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, -4272, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 14. Suppose 2*i + 37 = -i + 4*r, 2*i - r = -23. Let w be f(i). Solve -w*j = 2*j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 2*w + 2*t - 27, -w + t + 35 = 0. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 6. Let d be (v + 4)\/((-14)\/6). What is the second biggest value in 2, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125 or -224?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-10)\/(14\/7)). Which is the closest to -1? (a) 0.3 (b) 0.07 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/5, -107 in decreasing order.\nAnswer: -1\/5, -3, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 2)*(0*o**3 + 3*o**3 + 2*o**3 - 2*o**3).\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -5, 52, -4, -12 in decreasing order.\nAnswer: 52, 1, -4, -5, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 545 - 542. Suppose 0 = 2*k - 7*k. Let r(c) = 5*c**2 - c - 1. Let n be r(-1). Sort n, k, b.\nAnswer: k, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-6)\/54*414\/(-161)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2412 - -4181. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -543575243*d**2*y - 133*d*y + d - 90*y + 775 wrt d.\nAnswer: -1087150486*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 210? (a) 0.4 (b) 0 (c) -0.5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 4*k**2 - 5*k**2. Let o(y) = 58*y**2 - 117*y**2 + 57*y**2. What is o(h(z))?\nAnswer: -200*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -147, 0, -4 in decreasing order.\nAnswer: 5, 0, -4, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 18*x - 24*x**2 - 16*x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h + 2*h - 2*h + 9. Let m be 2 - 0 - 1*-4. Let z(k) = 2*k + 4. Determine m*q(w) - 13*z(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18580 is divided by 217.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -5*h - 6, 8*h - 5655 + 5625 = 5*y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-14) + (-6 - -4)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 d when three letters picked without replacement from iddrruduuudiidduid.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28.869122 + -28.83. What is n rounded to three dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 6*q - 0. Sort -4, q, 0, -3 in increasing order.\nAnswer: -4, -3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 5*u + 4. Let s = 3 + 2. Suppose -4*r = -2*j + 2, r + s = 2*j - 0. Suppose j*v + v = 16. Determine l(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -28. Let j(r) = 2*r**2 - 6*r**2 - w*r**2. Let x(b) = b**2. Determine x(j(u)).\nAnswer: 144*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*q, 5*p = 4*q + 475. List the prime factors of p.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143014035 (base 6) in base 13?\nAnswer: 290ab96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 283548745 by 3.\nAnswer: 283548745\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3701 - 3709.935. Let g = i + -0.065. Let f = 9 + -8.6. Put 0.2, g, f in ascending order.\nAnswer: g, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -155*m**3 - 15*m**2 - 28*m - 7. What is the thousands digit of a(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -1, -3, -21\/4 in descending order.\nAnswer: 2\/15, -1, -3, -21\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 37*j**2 + 7*j - 19. What is the hundreds digit of z(32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259 divided by -259.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -15. Solve 5*x - s = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397737300.\nAnswer: 2, 3, 5, 1325791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90170 (base 11) to base 8.\nAnswer: 401577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(4\/19)*c*c*c\/c**(2\/17)*c**(-21)\/((c*c**(2\/15))\/c*c*c) assuming c is positive.\nAnswer: c**(-92251\/4845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*s**3 - 3\/2*s**4 + 0 + 0*s**2 + 0*s.\nAnswer: -3*s**3*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -14*a**3 + 3*a**2 + 24*a - 29. Give v(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818882 is divided by 496.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6)*3\/(-2). Let x(p) = 3*p**2 + 27*p - 57. Let n be x(2). Sort n, r, 4 in descending order.\nAnswer: n, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 40*o + 144. Let t be q(-36). Suppose -3*w - 3 - 59 = -4*c, t = -2*c + 3*w + 34. Solve 6*h - 44 = -c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.003 + -0.022. Let d = x - 0.381. Suppose -6*h + 4*h = -5*z + 16, 5*h - 18 = -2*z. Which is the biggest value? (a) -2 (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 386684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (-1890)\/(-42) + 38\/(-8)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, -0.1, 0.145, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*a**2*i**2 - 4473*a**2*i + 2*a**2 - 2*a*i**3 + 481*a*i**2 wrt i?\nAnswer: 118*a**2 - 12*a*i + 962*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -290\/9? (a) -2 (b) 0.08 (c) -14 (d) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.31 at most as big as -119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1489053 divided by 1.\nAnswer: -1489053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*g = 4*g - 24, -15*g + 30 = 0. Let q(w) = w**2 - 18*w + 5. Determine q(p).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12912617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -42. Suppose 3*r + 5 - 11 = d. Suppose -g = r*g - 5*a - 94, -164 = -4*g - 3*a. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 15 = 4*m. Suppose -m*w + 3*a = 6, -3*a + 8*a + 9 = 2*w. Is (-2)\/w - 1900\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9358104, 18716199, 28074292, 37432383, 46790472?\n\"Answer: -b**2 + 9358098*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089734?\nAnswer: 2, 17, 32051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3662453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000319 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7259835 and 27830.\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 75 = 13*u. Let d be (0 - (-26)\/5)*u. Suppose 5 = d*s - 25*s. What is the lowest common multiple of s and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 184*d + 168*d + 1)*(1 - 6*d - 1)*(0*d - 4*d + 6*d).\nAnswer: 192*d**3 - 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 3*l**2 + 0*l)*(3*l + l - l)*(-21 + 30 + 35).\nAnswer: 396*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 116 - 410 = -3*z, 102 = 3*z + 4*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(3) - (-2*sqrt(12)\/sqrt(4))**2) + (-2 + sqrt(75) - ((sqrt(3) - (sqrt(3) + -1 + sqrt(3))) + 4)).\nAnswer: -19 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p. Let n(h) = 6*h + 2*h + h - h. Determine n(w(r)).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - x. Let q(o) = -2*o**3 - 3*o**2 - 3*o. Let l be 12\/(-4) - (1 + 3 + -10). Suppose -39 + l = -18*t. Calculate t*q(v) - 6*g(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -1505*a**4\/6 + 513*a**3\/2 + 89*a + 11. Find the second derivative of r(z) wrt z.\nAnswer: -6020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -313*a*b - 13882*a - 4060918*b with respect to a.\nAnswer: -313*b - 13882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 y when three letters picked without replacement from zyhybtbaybahbhyyab.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*d*f*i**2 - 3*d*f*i - 6*d + f*i - 330*f - 2*i**2 wrt d.\nAnswer: -5*f*i**2 - 3*f*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1880 (base 9) in base 15?\nAnswer: -669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2634 is divided by 151?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5\/2 - 2849*a**4\/2 + 14287*a**3\/2 + 48389*a**2\/2 - 183993*a + 256860 = 0. What is a?\nAnswer: -2854, -5, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -21781 = -21780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/40)\/(4\/80).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*z**2 - 12 - z + 26*z**2 + 19 to n*z + j*z**2 + s and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*i**5 + 189*i**5 + 38*i**5 + (i + 3 - 3)*(-4*i**4 + 0*i**4 + 2*i**4).\nAnswer: 209*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8245 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**2 + 3*a**2 - 2*a**2)*(3 - 6 + 1) - 2 + 0*a**2 - a**2 - a**2 as m + c*a**2 + n*a and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 29*w**2 - 8*w - 633. Give d(23).\nAnswer: 2357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*o**2*s**2 + 2*d*o**2*s - 3*d*o**2 - 4*d*o + d*s**2 - 24*o**2*s**2 - 2 wrt s?\nAnswer: 4*d*o**2 + 2*d - 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1150)\/(-5980)*((-60)\/25)\/(-3).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4\/6 + 75*f**3\/2 + 5521*f**2\/3 - 45564*f - 294560\/3 = 0. What is f?\nAnswer: -56, -2, 20, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*v**3 - 4*v + 994*v**3 + 4*v.\nAnswer: 1380*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -435403 (base 6) in base 15?\nAnswer: -aae9","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - n. Suppose n = -u - u + 178. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 2*r - 1529. Give s(40).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -1605*u**5\/4 - u**4\/6 - u**3\/6 - 4*u**2 - u + 533. What is the third derivative of f(w) wrt w?\nAnswer: -48150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5387*x**3 + 1149*x**2 + 16567208*x wrt x?\nAnswer: 32322*x + 2298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880242253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 483\nAnswer: 4\/483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34998, 140069, 315214, 560433, 875726, 1261093?\n\"Answer: 35037*z**2 - 40*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -5 + -7 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*r**2 + 0*r**2 - 4 + 3 in the form n*r + k + m*r**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 26*x**2 + 119*x - 896. Calculate z(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5428 - -6187. What is the greatest common factor of l and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12390?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 45 = 68*r - 71*r, -4*t + 5*r = -38 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 10 = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.5, -0.14, 0, 5.\nAnswer: -5.5, -0.14, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-6)\/(-588)*-2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636 is divided by 165?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, s: 2, h: 1, b: 1, l: 1, j: 1}. What is prob of picking 1 c, 1 b, and 1 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m**3 - 155*m**2 + 42*m + 83. Determine x(-39).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139 + 93. Let c = 72 + h. Suppose 24*p - c*p = -256. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -682 + 675. Sort t, 2, -10.\nAnswer: -10, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(33)\/(3*(sqrt(44) + sqrt(11))) + 5 + sqrt(3) + 5 + (sqrt(3) - (sqrt(3) + -2))))**2.\nAnswer: 320*sqrt(3)\/3 + 15952\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1886.2701 months?\nAnswer: 1.57189175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 27825725*i + 222606120.\nAnswer: -5*(i - 5565153)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**4\/7 + 4108*b**3\/7 + 361588*b**2\/7 + 694500*b\/7 - 1060200\/7 = 0. What is b?\nAnswer: -930, -95, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10885*f**4 + 3470 wrt f?\nAnswer: -43540*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/12)\/(-2 + 320\/150)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 3. Let j(c) = -2*c**3 - 3*c**2 - 2*c. Let n be j(m). Let y = 4 - 0. What is the highest common factor of y and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -654 divided by -6.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -75*t + 11. What is the tens digit of z(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -196?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5045, 41475, 140691, 334085, 653049, 1128975, 1793255, 2677281?\n\"Answer: 5232*c**3 + c**2 - 197*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*f - x = -63*f + 13, 2*f + 2*x = 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (-32 + 113 + -137)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -64. Let y = 135724 - 135721. Which is the smallest value? (a) y (b) 0.4 (c) j (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from uydak?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 2*m = -6 - 17, m = -4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 514 by 1.\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -bc4 (base 15) in base 8?\nAnswer: -5143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 177107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 76*a - 19 + 82 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -7*z + 8. Calculate the lowest common multiple of z and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1 - (-113 + (-22410)\/(-162)))\/(2\/6).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164370638.\nAnswer: 2, 82185319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*i + i = 6, 4*i = 5*b - 10. Let p = b + 3. Let g(q) = q**3 - 4*q**2 + 9*q + 1. What is the tens digit of g(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 12 = -0*r. List the prime factors of 18 + 2*r\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f\/(f\/(f*f**(-2\/9)*f)))\/f)*f)*f*f\/f**(2\/11))\/(f**2)**(-23) assuming f is positive.\nAnswer: f**(4712\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -210405 + 210600. Suppose 0 = -2*b + 4, 3*g - 4*b - 129 = -b. Calculate the lowest common multiple of g and h.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/3)\/d)\/(d*d\/(d*(d**4*d)\/d*d))*d**5\/(d**(4\/3)\/d) assuming d is positive.\nAnswer: d**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-18))**(-23)\/(g**(-12\/13))**(-5\/3) assuming g is positive.\nAnswer: g**(5362\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/2256 and 53\/848982.\nAnswer: 319217232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*z - 610 + 36, -5*n = z - 182. Suppose z = -0*i + 3*i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482 = 66*z - 69*z - 5*l, -3*z - 486 = 3*l. Let y = z - -196. Calculate the highest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 4 (b) 0.01 (c) -9 (d) 4801 (e) 2\/5 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1 - 4 + 2 + 3*j + 6. What is the tens digit of r(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*t - 838 + 17*t - 26*t + 838.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**5\/20 - r**4\/4 + 7*r**3\/6 - 1284*r**2. Determine p(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4778 - 2646. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49369, -98744, -148119, -197494?\nAnswer: -246869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 81344308 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -11*o**3 + 3*o**2 + 6*o + 2. Let w(m) = -25*m**3 + 7*m**2 + 13*m + 5. Let g(c) = -9*b(c) + 4*w(c). Give g(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.151, -4, 1\/2 in increasing order.\nAnswer: -4, 0.151, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -399407.6084 to the nearest 10.\nAnswer: -399410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73347158?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**4\/12 - 19*f**3\/6 - 65*f**2\/2 + 75. Let v(j) be the second derivative of i(j). Let y(a) = 2*a. What is v(y(s))?\nAnswer: 4*s - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 603, 596, 589, 582, 575, 568?\n\"Answer: -7*y + 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.078, -9, -4, 2, -1 in decreasing order.\nAnswer: 2, 0.078, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21322085 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -95. Suppose p - b = 3*p. Is 14 a factor of 6\/p + 154\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75*23.\nAnswer: -1725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4)\/((n*n**(-3)\/n)\/n))**20*n**1\/n*n**(-3)*(n\/n**(-1\/3))**(-3\/19) assuming n is positive.\nAnswer: n**(1554\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 12 = 3. Solve -3*i - v = -5*k, k - 4*i - 6 = -3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465458677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -180, -66, 48, 162, 276?\n\"Answer: 114*k - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.351 + -0.151. Let r = 0.24 + -0.18. Put u, r, -2\/5 in ascending order.\nAnswer: -2\/5, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192131492 a multiple of 1988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 12:44 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34719 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2101111002 (base 4) to base 16\nAnswer: -91542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 101, 107, 123, 155, 209, 291, 407?\n\"Answer: l**3 - l**2 + 2*l + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7327, -13950, -19875, -25096, -29607, -33402, -36475, -38820?\n\"Answer: b**3 + 343*b**2 - 7659*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/20*-2*4\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 434628 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 50003035 (base 7) to base 8\nAnswer: 17554362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2306*g - 589 = -4583*g + 2308*g for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1010110101011110011110010100?\nAnswer: 1010110101011110011110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 354*c**2 - 704*c**2 + 2 - 2*c**3 + 349*c**2 - 59*c**4 as x*c**3 + f*c**4 + u + t*c + w*c**2 and give f.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 6710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -11592\nAnswer: 13\/11592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 + 0*v**5 - 2*v**5 + (-2 + 2 - 2*v)*(-2*v**4 + 2*v**4 + v**4) + 0*v**4 - 3*v**5 + 0*v**4 + 2*v**5 + 0*v**5 - v**5.\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/279 and -76\/56397?\nAnswer: 5244921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -198537389*h**4 - 605666161 wrt h.\nAnswer: -794149556*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 2*q - 2*q + (2*q + 0 + 0)*(-5 + 1 + 6).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13202 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3613877830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/112067200 and -117\/176105600?\nAnswer: 1232739200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18\/30*-40*6\/18\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4 - 1.4. Suppose 2*i = -4*g + 20, 30 = 2*g + 5*i + 4. Which is the closest to l? (a) 0.1 (b) g (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one halves of a decade?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -7*k**4\/24 - 10*k**3\/3 - 17*k**2\/2 + 2. Let h(v) be the second derivative of r(v). Is h(-9) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -42*h - 34. Let q be a(-1). Let p be (q - 17)\/(3\/(-7)) + 1. What is the greatest common factor of p and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-3 - (-3 + 2 + 12 + -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -1 - (-27 + 22 - -15)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -10236363, -5 in increasing order.\nAnswer: -10236363, -5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1265018898 or -2?\nAnswer: 1265018898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42935 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 52399, 104760, 157111, 209458, 261807?\n\"Answer: i**3 - 11*i**2 + 52387*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**3\/3 - 5*d**2 + 22*d - 3212. Calculate j(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 + 3*s**2 + 3*s**2.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97662*k**4 + 19*k**3 + 1352198*k**2 wrt k.\nAnswer: -2343888*k + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1326 - -1630. Calculate the greatest common factor of t and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 2.41\nAnswer: 24.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2576, 1586, 606, -358, -1300, -2214?\n\"Answer: s**3 - s**2 - 994*s + 3570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29622153 + 29622271.999895. Let h = 119 - d. Round h to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5\/9 - 64*y**4\/9 - 490*y**3\/9 - 1100*y**2\/9.\nAnswer: -2*y**2*(y + 5)**2*(y + 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42114 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 539567 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*j**2 + 322*j**2 - 979*j**2 + 328*j**2.\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-552)\/32)\/(78\/(-58864))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -271 + 8?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(48)).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 6*z - 4. Let y(p) = -p**3 + p**2 - 2*p + 3. Let s be y(2). Let x be j(s). Which is bigger: x or 11\/7?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 9 = 10*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 515107 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -2845?\nAnswer: -5690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 0)*(-4)\/(-8). Suppose 5*t + h = 5. Let n(w) = -344*w - 5*w**3 - 3347*w**2 - 1 + 0 + 3347*w**2 + 346*w. Give n(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**2 - 15*q - 266. Let v(c) = -5*c**2 + 16*c + 270. Let i(w) = -3*p(w) - 4*v(w). Is i(-13) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from ixx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39711694 + 0.4.\nAnswer: -39711693.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 6. Suppose 1 = -k + d. Find the third derivative of -2*u**4 - u**2 - 2*u**2 + 0*u**k wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/a**(-7))*a**(-9))\/((a*a**(-3\/2)*a)\/a)**(-13) assuming a is positive.\nAnswer: a**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 24*c - 206. Determine m(22).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((5 - -1) + -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -886307 (base 9) to base 16.\nAnswer: -81460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 18*m - 2*m + 3*m - 3*m. Let z(n) = n**2 - 5*n - 4. Let y be z(6). Let c(w) = 0*w**2 + w**2 + 5*w**y - 8*w**2. What is c(d(b))?\nAnswer: -512*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3361*y + 49993. Determine k(-15).\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1304402 (base 6) in base 10?\nAnswer: -70994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-870)\/(-27550)*(-9)\/12*-10)\/(-3)\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3*h + 18 = 0, 9 = -0*y + y + 4*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 41593\/1780 and 23 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12261 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 2 - -383582) + -2. Let a = 13 + -9. Suppose -3*j + 1926428 + k = 2*o, -a*j = -o - 3079996. Round j to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 403?\nAnswer: -1612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64? (a) -1.7 (b) -1\/3 (c) 2\/93 (d) 0.5 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 24 - 12*g)*(5*g**2 - 4*g**2 + 5 - 3*g**2).\nAnswer: 24*g**3 - 60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/12*((-1360)\/(-24) + 19\/57).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 76\/18 - (-2)\/(-9). Suppose 9*g - b*g = 10. Suppose -522 = -4*l - g*m, l + 6*m - 2*m - 127 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17161 is divided by 3397.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 402589947 by 1.\nAnswer: 402589947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/4)\/q**21)**34 assuming q is positive.\nAnswer: q**(-1377\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2330 + -1200300?\nAnswer: -1131310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6627*s**2 + 1692*s - 108.\nAnswer: -3*(47*s - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (854\/42 + -17)*(-3)\/(-2). Solve 23*r - f*r = 36 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1885807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -6*z - 5*m + 61, m = 4*z - 55. Let h = -11 + z. Solve y - h = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4225657077493 and 1?\nAnswer: 4225657077494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 74039966 divided by 170599\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124 - -128. Let t = 813 + -92. Suppose j*f - 1419 = t. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20112 + 22111111200?\nAnswer: 22111021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 27*x - 52. Let p be j(-29). List the prime factors of (-33)\/(-22)*2408\/p.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0279 and 83.3?\nAnswer: -2.32407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (36 + 0 + -7) - -41.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29124573 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -2. Let n(z) = -z - 4 + 4 - 1. Let d be n(-5). Solve -i = -d*g + g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42160 - -22?\nAnswer: 42212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 19*o**2 + 3*o - 2. Let l be w(1). Suppose 0*k - 2*k = 5*s - l, -2*k = -10. Solve 0 + s = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-5) - 1*(-24)\/(-2). Suppose -2*i - 7 = -0*i - 3*n, 0 = 2*i + 3*n + 1. Let t be i\/h + 1\/12*-2. Solve -d + 3*v = -1 - 4, t = -d - 2*v + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, l: 8}. Give prob of picking 1 l and 2 m.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 598, 55, -2\/13, 12 in decreasing order.\nAnswer: 598, 55, 12, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 940364556.\nAnswer: 2, 3, 29, 2702197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6178674.\nAnswer: 2, 3, 23, 44773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -82. Let y = i - 48. Which is the biggest value? (a) -3.1 (b) y (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 3. What are the prime factors of r*(-1 + 3 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31805 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.211 * 2.35\nAnswer: -0.49585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 28722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2140718474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:09 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14512296749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*b + 30*b + 4*o - 204905, -2*o + 81962 = 2*b. List the prime factors of b.\nAnswer: 107, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 5*p - 44. Let j be ((-13)\/(390\/40))\/(82\/(-23001)). What is the highest common divisor of p and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*y**3 - 37*y**2 - 20*y + 4 = 0. What is y?\nAnswer: -2, -1, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*(sqrt(98) + 1)*-2*-2)**2.\nAnswer: 672*sqrt(2) + 4752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -14*r. Let q(y) be the third derivative of -y**4\/12 - 4*y**2. What is o(q(z))?\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 0.99, 5, 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*8\/(-5).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24930)\/(-13850)*(-170)\/(-9)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8\/29 (b) 15.5 (c) 1\/7 (d) 5 (e) -0.6 (f) -6\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130 - -124. Let p be 4\/d*6\/(-454). What is the closest to -2\/7 in -1, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 2*p + 158. Let y be v(0). Suppose -4*a + y = -2*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1284, -5188, -11708, -20838, -32572, -46904, -63828, -83338?\nAnswer: -105428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 3*d - 103. Let w be j(-8). Solve 3*v - w = -2*z + 4*z, z + 3*v - 13 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311 (base 4) to base 2.\nAnswer: -110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/4))**(3\/14))**50\/((u\/(u*u**(-2\/13)*u))**(6\/7))**(-39) assuming u is positive.\nAnswer: u**(-417\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880) + sqrt(2880)*-4)\/(sqrt(225)*2) + 1.\nAnswer: -12*sqrt(5)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, -0.4, -468, -1\/8 in decreasing order.\nAnswer: 0.07, -1\/8, -0.4, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 i when four letters picked without replacement from xxiixx?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 14*l + 8. Let h be f(6). Let i be 4 - (7176\/(-30) - 2\/(-10)). Suppose -k + h = -i. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5798413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 6*t**2 + t - 3. Let y be z(6). Suppose 4*s + 399 = 2*j - 561, y*s + 1425 = 3*j. Suppose -3*w + j + 1153 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfjfcwjx. What is prob of sequence jjcw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 79258029 to the power of 1\/2, to the nearest integer?\nAnswer: 8903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 249 + 103 - 2*k + 158 + 41 in the form f + z*k and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1101000010010100110001 (base 2) to base 3\nAnswer: 20102121210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -162840.\nAnswer: -814200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((x*x**(1\/3))\/x*x*x*x*x))*x**(-2\/9)*(x**(8\/5)*x)\/x**(-9))**(-4))**(2\/115) assuming x is positive.\nAnswer: x**(-5656\/5175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/27 and 121\/11230.\nAnswer: 303210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 166770*o - 833846. Give k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 4, -5, -22, -47?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 831586.1 nanometers?\nAnswer: 0.8315861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-24)*8\/(-20)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 6*l**2 - 3*l - 5. Let w be c(-4). Let r = 56 + w. Suppose -2*g - 26 = -3*t, t + 3*t + g - r = 0. Solve 0 = 4*p - t - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 806*n**2 + 251*n + 2. Is t(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 576 - 574. What is the fourth biggest value in 33, 1\/7, 0.5, j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.11 - -3.89. Let n = 8.2 - 8. What is the closest to -1 in -2\/9, c, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/w**17)\/w))\/w*w*w*w**(1\/7)*w)\/(w**(-1\/5))**(-2\/81) assuming w is positive.\nAnswer: w**(57091\/2835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/19)\/w*w*w\/(w\/((w**(1\/2)\/w)\/w)) assuming w is positive.\nAnswer: w**(-53\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*i + 867 + 330*i - 867.\nAnswer: 626*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4165 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 2. Let v(h) be the second derivative of h**3\/3 + 3*h**2\/2 - 14*h. Let j(u) = -6*g(u) - 4*v(u). Let w(q) = -5*q. Determine w(j(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27694*o - 12294*o - 15390*o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7541 + -7545. What is the third smallest value in 21, 68, g?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 96 = 7*j - 19*j. Put 16, j, 2 in descending order.\nAnswer: 16, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/132 and -101\/120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from tjjdssntstdnit.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48822 and 15484?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/9)\/(4\/6). Suppose 2*p + 4 = 3*m + p, -4 = -f*m + p. Suppose -3*o + 0*o + 48 = m. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 64 = 532. Let w = j + 56. What is the third derivative of 40*x**5 + 2*x**4 - 2*x**w + 257*x**2 - 234*x**2 wrt x?\nAnswer: 2400*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*o + 135, 3*x + 106 - 300 = -4*o. Let d be (39\/5)\/(x\/110). Solve k - d*k = 60 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 5\/7 (b) -717 (c) -1 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(144\/16)*3\/(-3)*44. Calculate the greatest common factor of s and 649.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31, 49, 57, 55?\n\"Answer: -5*h**2 + 33*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 x, and 1 t when four letters picked without replacement from {s: 2, x: 2, r: 1, d: 1, f: 1, t: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.025427 (b) -458 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*z - 17 = -4*y, 22 = 5*y - 2*z. What is the third derivative of 2 - 59*n**y + 26*n**2 - 4 + 8*n**2 wrt n?\nAnswer: -1416*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(54)\/sqrt(3))\/sqrt(6) + (sqrt(3) - sqrt(30)\/sqrt(160)))**2.\nAnswer: -441\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10877 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b - 38*b = -y + 75, 4*b = -y + 61. Is y at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26592434.\nAnswer: 2, 11, 67, 18041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -136*c**2 + 260*c - 329262 wrt c.\nAnswer: -272*c + 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-3))\/1*180\/(-120). Let k = 0.1 + 0.2. Which is the nearest to z? (a) -2\/5 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.036 - -1.11. Let m = w - 5.674. Which is bigger: m or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009184 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -8.936?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21\/4*u**2 - 25 - 24*u + 1\/4*u**3 = 0 for u.\nAnswer: -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 17*c**2 + 3*c - 4. Let u be n(2). Let q = u - 50. Suppose 0 = q*o - 25*o + 220. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t + 19. Determine u(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*((v*v**0)\/v)\/v*v*v)*v))**15\/((v*v**0*v*v*v)\/v)**(-1\/12))**(-49) assuming v is positive.\nAnswer: v**(-2989\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n + n - 8*n**4 + 13*n**4 - 13*n**2 + 3*n**2 + 2*n**3 + n**4 as b + s*n**2 + y*n**4 + v*n + t*n**3 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*v + 380*v + 1448 = -16*v + 91*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451892 is divided by 47.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t. Let i(x) = 4*x. Suppose -9*u = -16*u + 70. Suppose 3*m + u = -2*m. Let j(v) = m*i(v) + 5*w(v). Let y(f) = -2*f. What is y(j(d))?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 2*o + 2. Let q = -7 - -7. Let d be (30\/20)\/(9\/12). Let x(g) = 22*g + 2*g**d + 3 + 1 - 26*g + q*g**2. What is 13*h(j) - 6*x(j)?\nAnswer: j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b7b + -1?\nAnswer: 3b7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*o - 1\/3*o**2 + 10.\nAnswer: -(o - 6)*(o + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1230503 (base 6) to base 2\nAnswer: 10000001011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 5*1\/1. Let k = h + -1. Let f be 2\/(-16) - (-119)\/(-136). Put k, 1, f in increasing order.\nAnswer: f, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 6:36 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1404381 divided by 127671\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46123 - 13?\nAnswer: -46136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -3 (c) -0.07 (d) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 6:43 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from byk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -23, -2, 1\/6, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43.3 - -43. Let j = 91 + -89. Let l = -3.3 - 0.7. Which is the closest to j? (a) -3\/5 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/190 and 5\/((-20)\/(-8)) + (-148)\/80.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -10, 72983.\nAnswer: -10, 65, 72983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-11 - -6) - 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.1229*0.5\nAnswer: 1.06145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2 - 1) + (37 - 29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2759 - 2624 + 1783 = -200*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -1\/17 (c) -14 (d) -1\/3 (e) 0 (f) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1572524 - 2?\nAnswer: 1572522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53105604 is divided by 603?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5 + 6 - i + 9.\nAnswer: -i + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 611, 2\/15 in decreasing order.\nAnswer: 611, 2\/3, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1. Let s be (-6)\/f + 0 - 2. Calculate the highest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 51 - 9 = 0. Solve l*h = -o - 0*o + 20, -3*o = 4*h - 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 413 = -4*s. Is -59 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5013 = 2*x + 4*a - 1559, -2*x = 2*a + 3446. Let p = x + 11990\/7. What is the common denominator of -28\/27 and p?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 26)*(-5)\/(-4). Let x = 29 - m. Find u such that -3\/4*u**2 - 3\/4*u - x*u**3 - 1\/4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 48 = 2*u - 4*u, u = 5*m - 102. What is the remainder when 61 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -201571*b**2*l**3 - 2*b**2*l - b**2 + 11439*l wrt l?\nAnswer: -1209426*b**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -26. Let s(i) = -10 - 19 - 14 + 4*i + i + 30. Is s(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -76*u + 3939. Let j be a(43). Solve -m + j - 668 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*m + 5 + 4, 5*y = -2*m + 1. Is y less than or equal to -1\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2525 - 2495. Put -2, 2, x in ascending order.\nAnswer: -2, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 209*k - 780. Let c be f(5). Solve -267 = -z - c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*f = -398 - 408 + 194. What is the highest common factor of 30300 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, g: 1, d: 1, t: 1, p: 1, a: 2}. Give prob of sequence apcd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k - 1. Suppose -6*y - 1 = -7*y. Let u(v) = v. Suppose -96 + 31 = 5*w. Let n = w + 9. Give n*u(x) + y*r(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 78 = -3*t, -4*t - t = 2*s - 46. What is the remainder when s is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/19 - 17756*v\/19 - 177760\/19 = 0. Calculate v.\nAnswer: -10, 8888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9536926 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g = -505. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -11. Let q(u) = u**2 - u + 1. Give -q(m) - x(m).\nAnswer: -m**2 + m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59860378454 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g**3 - 32*g**2 + 170*g - 23. Calculate the remainder when o(9) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19637 and 6513835?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 + 58*d\/7 - 60\/7.\nAnswer: 2*(d - 1)*(d + 30)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504 and 576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.208 and 1736496?\nAnswer: 1736489.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24532 + 24618. Calculate the remainder when 416 is divided by c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + d**2 - 2*d**2 + d + 0*d. Let l(z) = -z**2 + z. Suppose s = -h - 12 + 2, -5*s = -h + 20. Determine s*j(q) + 5*l(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 855 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = 7 + 9. Let w be (y + 6)*(-10)\/(-8). Let q be 3 + -2 + (25 - w). Calculate the greatest common factor of 105 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.807 litres in millilitres?\nAnswer: 78807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1505 - 1501. Solve -260*d - n = -261*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 65248?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 217315091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x - 1. Suppose 5*m - 25 = -3*t, 0*t = -5*t - 2*m + 29. Let j be 26\/t + 6\/(-30). Let c(f) = 2*f. Let l(r) = j*c(r) - 3*w(r). Determine l(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 - -2 - (-17 - -22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 6:18 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (637\/(-56) - -11)*(-48)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23782, 23781, 23780, 23779, 23778?\nAnswer: 23777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n - 33 = 24 - 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4828*i - 2822. Let b(z) = z + 3. Let n(q) = -b(q) - t(q). What is the derivative of n(j) wrt j?\nAnswer: 4827","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -2*s - 6*s + 11 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 31*m + 254. Calculate the remainder when 237 is divided by f(18).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 4 + 0)*(n - 2*n - n) + (-1 + 0 + 0)*(3 - 3 + n) - 7*n + 4*n - n)*(147 - 22 + 85) in the form i*n + c and give i.\nAnswer: -1890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6 (b) -1\/9 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**7\/2100 - c**6\/900 + c**5\/50 + 37*c**3\/6 + 3*c - 9. Let r(k) be the second derivative of b(k). Solve r(f) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 22*g - 237. Let a be i(11). Put -1, a, -9, -4 in decreasing order.\nAnswer: a, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 3.375 (c) -2294 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137 + 132. Let g = -0.5 - 1.5. Which is the third biggest value? (a) g (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -586, -592, -610, -640, -682, -736, -802?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 12418*g + 198630. Determine h(-16).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -50. Is (-10)\/a*9354\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 2610*i**2 - 5215*i**2 + 2613*i**2 + 3*i.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/65 - -77\/390. Let n = -56 + 227\/4. Let v be (-2123)\/(-11011) + 22\/(-143) + 2\/14. Which is the third biggest value? (a) v (b) -2 (c) m (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f - 2. Let t(g) = g**2 + g - 1. Let a = 759 - 758. Suppose -4*s - 6 = 2. Let n(i) = a*y(i) + s*t(i). Factor n(r).\nAnswer: -2*r*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30*(-30)\/1050)\/(-2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22112 and 484391.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208634?\nAnswer: 2, 73, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oon when three letters picked without replacement from nnonnooononn.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -21*b. Let i(y) = y**2. Determine h(i(x)).\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/7 - 18786436*q\/7 + 44116272197762\/7 = 0 for q.\nAnswer: 4696609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**5\/30 + a**4\/6 - a**2 + a. Let p(q) be the first derivative of b(q). Determine n so that p(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 12 = 4*l, -5*l - 11 = -t + 4. Let z = 102 - 99. Suppose 3*g - z = t, -6*g + g - 58 = -3*m. Calculate the greatest common factor of 42 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*i**3*j*z + 4*i**2*z - 50506*i*j - 8*j - 122407*z wrt i?\nAnswer: -9*i**2*j*z + 8*i*z - 50506*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2062 - 2050. Sort l, -2\/21, 4, 1 in ascending order.\nAnswer: -2\/21, 1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**11*q*q**(-26)*q*q\/q**(2\/23)*q**(-12)\/q*q)**(-3\/20) assuming q is positive.\nAnswer: q**(831\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + sqrt(2) + sqrt(8)\/sqrt(4) + 0 + -1) + ((-3*sqrt(96)\/sqrt(6))\/(-1*sqrt(128)))**2.\nAnswer: -231\/8 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 15*z**2 + 28*z - 294. Calculate t(8).\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3470 - 5744.8. What is b rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (2 - 36\/56). Let g = f + 15\/7. Let l be 1 - ((-22)\/(-7) + -2). Which is the biggest value? (a) -3 (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9140, 18274, 27406, 36536, 45664, 54790?\n\"Answer: -f**2 + 9137*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-412*m + 139*m + 72*m)*(-4 + 1 + 2)*(-7 + m + 7) + m**2 - 34*m + 34*m as a*m + p + v*m**2 and give v.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0165 and 3438.\nAnswer: -56.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/7)*f**(3\/8)\/f*f*f\/f**0*f*f**0\/f)**(-1\/20) assuming f is positive.\nAnswer: f**(-109\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628335223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5451 - 81854\/15. Calculate the common denominator of k and 23\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(10\/(-7)))\/((-29510)\/(-73775)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a factor of 39714042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264*((-450)\/135)\/(1\/(-7))?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than -0.54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h*r**3 + 7*h*r**2 - 77215*h - 74927*r**3 wrt r?\nAnswer: -18*h - 449562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1674 and 10944?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4902.1442 rounded to the nearest 10?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 842174359.\nAnswer: 13, 64782643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3378.53673 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39374?\nAnswer: 2, 19687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 - 59d4?\nAnswer: -59ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**2 - 16*g + 12 = 0. Calculate g.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + (20 - 54 - -15) - -29.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5397?\nAnswer: 3, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2*(-180)\/135. Find the second derivative of 6*r**h + 54*r**3 - 22*r + 17*r**4 - 54*r**3 - 22*r**4 wrt r.\nAnswer: -60*r**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351 and 7293.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.775 + 0.01289222871.\nAnswer: 0.78789222871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*o**3 + 14791*o**2 - 795949*o - 2 wrt o?\nAnswer: 30*o + 29582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30135*d**5 - 131*d**2 + 90*d - 1?\nAnswer: -1808100*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/7))**40 assuming u is positive.\nAnswer: u**(320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*h**4 - 1 + (-170*h + 1434*h**3 + 167*h + 3181*h**3)*(2 - 2 + h) as s*h**4 + w*h**2 + z*h + i*h**3 + y and give s.\nAnswer: 4612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 o when four letters picked without replacement from hohhhhhhhoohhhhh.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279714807 divided by -1.\nAnswer: 279714807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -392, -1577, -3552, -6317?\nAnswer: -9872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -9\/286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -699*0.29\nAnswer: -202.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -559 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/107, -0.3, 68?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-93*t - 65 - 74 + 204 - 65)*(6 - 6 - 10*t) to the form o*t**2 + k + j*t and give o.\nAnswer: 930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**2 - 70*y - 217. Calculate w(-5).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/9, -1427\/73 in decreasing order.\nAnswer: 2, -2\/9, -1427\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.21243t to milligrams.\nAnswer: 88212430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*v - 1701*v = 17*v + 151240 for v.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2154 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/384252 and 103\/70356.\nAnswer: 4995276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1 - (-9 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d + 186 = 28*d. What is d rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-14)*h**(-2))**(1\/16)*(h\/h**(5\/3))\/h*h\/(h*h\/(h\/h**(-1)))*h*h**(1\/3)*h**(-1\/11)*h assuming h is positive.\nAnswer: h**(337\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1 (b) 4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.1, -31120, 0.1, 5, -1\/3, -5?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75514, 75660, 75830, 76036, 76290, 76604, 76990?\nAnswer: 77460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23516*j**3 - 6*j**2 + j + 956421283.\nAnswer: 70548*j**2 - 12*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9625 and 573?\nAnswer: 10198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*a**2 - 61*a**2 - 2*a**3 - 53*a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -5 - 100\/(-14)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/(-8) - -3)*-6. Suppose -4*k + m*f + f = -24, 3*k + 2 = -f. Is k smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 - 14*h**2 - 4*h**2)*((0 - 2*h + 0)*(-1 + 3 + 1) - 5*h - h + 5*h - 17*h + 5 + 13*h + 9*h).\nAnswer: 26*h**3 - 65*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 - -67. What is the least common multiple of 17 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-57)*(27\/6 + -3).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -7. What is the third derivative of 2*r**f - r**2 + r**2 - 5*r**2 + 3*r**3 wrt r?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139438 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2350*z + 144 = 2346*z + 28*y, -3*y + 13 = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**5 - 125*u**3 = 0. What is u?\nAnswer: -5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234 and 502047.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8580)\/234 - (-31)\/(-62)*(-4)\/(-6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 - 95*u + 36. Let i be q(36). Let p be 300\/i + 24\/(-252). Factor -p*z + z**2 + 0 - 1\/2*z**3.\nAnswer: -z*(z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21a0 (base 14) in base 8?\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - -0.16. Let q be (-156)\/(-24)*2\/(-3). Let h = -4 - q. Which is smaller: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 3 - 2)*1. Suppose -r + o*x + 20 = 4*x, 27 = r - 3*x. List the prime factors of (r\/(-9))\/(28\/(-462)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5\/5 - 2*x**4 - 44*x**3\/5 - 32*x**2\/5 = 0 for x.\nAnswer: -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (785\/30 - 6) + -16.\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, 8.8, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3057 + 3061. Solve 26*t + 2*m = 22*t + 4, -x*t = m - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1812339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**4 - 4*b**2 + 4*b**2)*(-1 + 2 + 4) + 11*b**2 + 37 - 18 + 2*b**3 - 4*b**4 - 17 in the form r*b + c*b**4 + v*b**3 + t*b**2 + m and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**5 + 190*l + 191*l - 386*l + 14)*(-3 + 7 - 2).\nAnswer: -8*l**5 - 10*l + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 27 - 16 - 10. Let w(k) = -2*k - 5. Let d = 0 - 1. Let r(l) = d*w(l) - 6*z(l). Let g(u) = 2*u - 1. Calculate -4*g(j) + 3*r(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 10*f + 3. Let j(v) = 21*v + 7. Determine -4*j(a) + 9*o(a).\nAnswer: 6*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(110) - sqrt(110))*3 + 1*4*sqrt(110))\/(sqrt(90)\/(sqrt(9) + (sqrt(9) - (sqrt(9) - sqrt(63)\/sqrt(7)))) - -1*sqrt(10)*4).\nAnswer: 20*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Let y(u) = -u. Let r(h) = 42 + 13*h - 2*h**2 - 42 - h**2. Let f(t) = 6*r(t) + 78*y(t). What is f(d(n))?\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.9? (a) 0 (b) -1\/3 (c) -2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156030 by 7.\nAnswer: -22290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -2, -0.2, -20\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 17*f**2 - 13*f + 13. Let d(n) = -9*n**2 + 6*n - 6. Calculate -13*d(h) - 6*i(h).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 6*u**2 - 4*u - 3. Let j be n(5). Suppose j*h = -0*h - 8, 4*h - 384 = -4*k. Suppose 3*i - 29 = k. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1642 + 2739. Differentiate -8 + 1097*m**2 - 10*m**3 - a*m**2 with respect to m.\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c. Suppose 0*k + 3*k + 4*l - 1 = 0, -3*l = -k - 4. Let a be s(k). Are 3\/2 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 262 = -d, d + 9*w - 265 = 4*w. Let y be d\/24 + (-2)\/(-12). Let b be (8 + -6)*y\/2. Calculate the highest common factor of 77 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.988 - -0.012. Let r = 169\/7 - 25. What is the closest to -2\/7 in r, -2\/9, w?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-21)\/392)\/(6\/8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 0)*(-635*l + 2138 - 2138) - l - 2 + 2.\nAnswer: 3174*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 969*q - 968*q + 0)*(-2 + 2 + 1) as t*q + z and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2423043232 - 4?\nAnswer: -2423043241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/56)\/(24\/224)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -210*w + 274?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.88539 kilometers to millimeters.\nAnswer: 26885390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 836673251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 w when four letters picked without replacement from iwwiwiwiiw?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 - 0.8. Suppose 4*w = -w + 15. Let x = 3 - w. Which is the nearest to x? (a) -4 (b) n (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + -6 + 28 + -2 + 7 + 3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11327999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 15, -6*w - 17554 = -10*w + 2*n. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -1545*a**3 + 12*a**2 - 6*a. Let o(r) = r**3 - 2*r**2 + r. Give -6*o(f) - u(f).\nAnswer: 1539*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 134 - 129. Solve 5*u = -5*j - 5, -4*j - 5*u + m = -4*u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0.25. Let l = w + -0.05. Let j = l + -0.7. Which is the closest to j? (a) -0.3 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 173*f - 178*f - 90. Let n = 572 - 569. Is f bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37, 101, 207, 355, 545, 777?\n\"Answer: 21*g**2 + g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114 - 113.9. What is the closest to 0 in 44, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 17 = 5*o + 2, -3*o + 21 = -3*n. Let f be o\/(-3) + -4 + 8\/12. Does 9 divide 6\/f*(-3 - 543\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2349 + -2377. Let k(u) = u**3 + 12*u**2 + u + 15. Let n be k(-12). Which is the third biggest value? (a) n (b) p (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - -83. Suppose 7*w = 3*w + h. Suppose -w = -5*q - 13. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 129?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 4788.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 1273324*r**2 + 5093320*r + 5093328.\nAnswer: -2*(r - 636666)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 28+1.8\nAnswer: 29.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-10))\/(2 + 52\/(-30)). Let r(i) be the first derivative of 3\/2*i**2 - 1\/3*i**3 - n*i**4 + i - 3. Factor r(p).\nAnswer: -(p - 1)*(p + 1)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s**2 + 1. Let w be p(-1). Suppose w = -5*d + 37. Let a = 8 + 0. Calculate the remainder when a is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2762854 and 8?\nAnswer: 11051416","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-142)\/70 + (-62)\/(-145390)*67)*11.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*a + 499 - 541, 3*a = 4*j - 25 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**2 - 4320*k + 8620 = 0.\nAnswer: 2, 862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 56 = -4*a, -4*a - 4*y + 50 = -10. What is the remainder when 35 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.95 - 0.05. Let s = n - -4.999997. What is s rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 820\/7, 421, 1, 1.4 in decreasing order.\nAnswer: 421, 820\/7, 1.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 409423726914786819\/6903143 + -59309755993. Let q = x + 369327524686\/37311487915. Let n = q + 3\/2162. What is the common denominator of 67\/9 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30\/40)\/(1\/24) - 3. Suppose 0 = 3*j - 9, -2*q + 29 = 3*q - 2*j. Suppose -2*o = -q*o - s, 2*o - 91 = -n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -2*u - 26, u - 15*t = 25*t - 42*t - 29 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55.016 + -55. Let b = s + -62.016. Let g = -66 - b. Is 2 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -334*q - 40107. Give c(-120).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -23*x**3 - 416*x**2 + 23*x + 39. Let v be w(-18). Are -5111\/5 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7237\/2 - 28873\/8. Find the common denominator of 43\/2 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -30. Is (9\/(-11) - j\/66) + 50 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1824338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 17. Calculate the smallest common multiple of w and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = z - 0. Let j(m) = 4*m**2 + 119*m + 88. Calculate the remainder when j(-30) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j\/(j*j**(-7)))\/j)*j**(1\/2)*(j*j*j**(4\/11))\/(j*(j**(-9)\/j)\/j) assuming j is positive.\nAnswer: j**(173\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 15*u**3 + 326*u**2 - 78*u + 206. Determine f(-22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1050 and 465?\nAnswer: 32550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -11*b**3 + 14*b**2 - 9*b - 7. Let h(u) = 2*u**3 - 2*u**2 + 1. Calculate 6*h(q) + x(q).\nAnswer: q**3 + 2*q**2 - 9*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1115496 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4 - 12*w**3 + 14*w**2 + 12*w - 16 = 0?\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3196442, 6392882, 9589322, 12785762, 15982202?\n\"Answer: 3196440*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 3*k - 3. Let m be n(2). Suppose 2*y = l + 7 - 1, -5*l + y + 15 = 0. Let q = 2 - 2. Sort m, q, l in increasing order.\nAnswer: m, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 4*c**2 + 3*c. Let j be f(-2). Find the third derivative of -20*n**3 - 3*n**3 - 24*n**3 - 2*n - 10*n**j + n**3 wrt n.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1332 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 2, -9\/965, -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -528, -7, 83 in decreasing order.\nAnswer: 83, -7, -528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -225 at least as big as 584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 15 = -5. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**5\/20 + r**4\/12 - r**3\/6 - 5*r**2\/2 - 485*r. Determine l(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 0.2.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3. Let b(q) = 4. Let c(v) = -4*b(v) + 5*o(v). Let g(a) = -3*a + 3. Calculate -3*c(r) - g(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 98*i - 3112. Determine j(28).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/7 + 282890*s\/7 - 1697412\/7 = 0 for s.\nAnswer: -141451, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -11*u**2 + 5*u + 11. Let s(n) = -5*n**2 + 2*n + 5. Let m(r) = -4*g(r) + 9*s(r). Let c be -1 - (1 - (-1 - -4)). What is m(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -5. Sort c, -2, 4 in descending order.\nAnswer: 4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024 + 4374?\nAnswer: 4373.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -b1?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 4 + 2)*(-2 + 4 - 3)*(2*i - 5*i + 4*i)*(-7*i + 5*i + 0*i).\nAnswer: 52*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 7, 3, -3, -11, -21, -33?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(5\/(-2) + -2). Let h = -6\/97 + -73\/388. Which is the third biggest value? (a) h (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 115661500 to the nearest 100000.\nAnswer: 115700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 2*p**5\/65 + 34*p**4\/13 + 1672*p**3\/39 - 11552*p**2\/13 + 2377. Suppose l(v) = 0. What is v?\nAnswer: -38, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-1)))\/k)\/((k\/k**6)\/k*k) assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -1. Solve -6 = -0*w + s*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*y**2*z - f**3 - 7*f**2*z - f*y**2*z + 60*f*z wrt f.\nAnswer: -6*f*y**2*z - 6*f - 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 x when three letters picked without replacement from rrrxrrxrxrrrrrrrrr.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -342 by 6.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9*o + 13. Let b = 35 - 21. Let i(a) = -3*a - 4. Let y(f) = b*i(f) + 4*n(f). Let p(r) = 2*r + 1. Calculate -7*p(d) - 2*y(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2674*f = -2679*f - 25, 20 = 4*o - 4*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**4\/4 + 7*s**3 - s**2\/2 - 5*s + 51. Let g be n(-21). What is the highest common divisor of g and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*4\/504)\/(1080\/(-1215))?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 9:07 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 18*o - 3 + 300*o**2 - 297*o**2 as v*o**2 + h + t*o and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 25*s**2 + 9. Let h be m(25). Suppose -o + 10 = -h. What is the remainder when 67 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*z + 3*d, 0*z + 4*z - d = -1. Suppose 0 = -q - m + z + 3, 2*m + 16 = 4*q. Let 3\/2*v**q + 0 + 0*v - 3*v**3 + 0*v**2 = 0. Calculate v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1045070, -1045074, -1045080, -1045088, -1045098, -1045110, -1045124?\nAnswer: -1045140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.29108032 rounded to one decimal place?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -6) + 24 - (66 - 145)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3386.1 - 3535. Let h = i + -43.1. Let o = -192.91 - h. What is o rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 - 2*w - 5*w**2 + 4*w**2 + w**3 + 3*w. Let a(z) = z**2 - 4*z + 2. Let k be a(3). Let b(p) = -5*p**3 - 7*p**2 + 4*p. What is k*b(x) + 6*j(x)?\nAnswer: -x**3 + x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 8*c - 4. Let o(y) = y**2 + 7*y - 11. Let f be o(-8). Let j be q(f). Let t = j + -9. Solve -6*i = -i - t*r + 10, 25 = -5*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/16*(1 + -1). Solve -3*s - 1 + 10 = f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 19. Let i be k(13). Solve 3*y + 4*b + 25 = 0, y + 4*b + i = -13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1940 and 2.62.\nAnswer: -1937.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9062*b = -506*b + 35742 - 574770 for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 481.1 to the nearest 10.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77658, 310572, 698752, 1242192, 1940886?\n\"Answer: -b**3 + 77639*b**2 + 4*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274, 344, 414, 484, 554?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411 (base 9) to base 12.\nAnswer: 23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/5 + (-12)\/(-20). Let i(p) = -1 - 5*p + 2*p + 0*p - p**g + 4*p. Let d(n) = 4*n**2 - 6*n + 6. Suppose -66 = -8*r - 18. What is r*i(o) + d(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155817841 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55707*l - 3*l**2 + 55707*l - 55*l**2.\nAnswer: -58*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(-1)\/s)\/s))**(19\/3) assuming s is positive.\nAnswer: s**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 262128101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uww. What is prob of sequence wwu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3450814ns in microseconds?\nAnswer: 0.0003450814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2141 + 2153. Solve 0 = -r*o + 65 - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 941833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-11 - (-32 + (18 - 11))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) 37 (c) 2\/5 (d) -5 (e) -0.11 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3579 is divided by 351?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121969390 and 11537645.\nAnswer: 853785730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 4. Let p be l(6). Suppose 4 = 4*h - 4. Find the second derivative of g + 5*g**p + g**h - 2*g**2 wrt g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 + ((-4)\/6 - 2\/(-3)). Suppose 10*m - i = 8*m. Suppose -m*b + 0*b + 2945 = -5*x, -b = x - 593. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o = 70. Let i be (-16)\/7 + o\/(-49). Let h = 0.2 + -0.3. Is h at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117924 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/125 or 2\/19?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 25 = 5*r. Suppose -f = -5*k + 21, -5*f = r*k - 55 + 10. Suppose k*y + 3*a - 47 = 0, 45 = 3*y + 4*a + 19. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2641 divided by -1\nAnswer: 2641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*k + 13*k + 62*k in the form j + a*k and give a.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 17*m. Let y(v) = -v. Suppose 5*k = -0*k - 30. Let b(h) = k*y(h) - f(h). Let n(d) be the second derivative of d**3\/3 - 15*d. What is b(n(i))?\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -353 - -926. Let h = -573.07 + x. Sort 3, 0.3, h in decreasing order.\nAnswer: 3, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c522 - 1b4?\nAnswer: 2c33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2754\/2065 - -2\/6195. Let x be 13*(2 + (1 - 2)). Put 4, x, d in descending order.\nAnswer: x, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 5*q + 35 - 146, 4*u - 180 = 4*q. What is the remainder when u is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8566 + 191250.3.\nAnswer: 182684.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4440 (base 7) to base 4.\nAnswer: -120330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**16)**(2\/9) assuming r is positive.\nAnswer: r**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a. Let s(i) = -107 - 5*i + 53 + 54. Let x(d) = 4*s(d) + 3*w(d). Let k(o) = o + 1. Determine -2*k(g) - x(g).\nAnswer: 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 4. Suppose 0 = -2*j + g + 12, 4*j + g = 3*j + m. Suppose -r = d - j, -d - 3*r + 1 = -15. Sort d, 2\/3, 3.\nAnswer: 2\/3, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 439 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckk when three letters picked without replacement from {k: 9, c: 11}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = y - 20. Let r(n) = n**2 + 1. Let s(z) = 3*z**2 - 9*z + 9. Let d(c) = 2*r(c) - s(c). Is d(y) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 25*l + 6. Let i be h(6). Let u = 294 - i. Is u a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 307154 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, a: 3, r: 1, t: 2, u: 9}. What is prob of picking 1 x, 1 a, and 1 t?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61039 is divided by 292?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-6)*g*g*g\/g**(-2\/25)*g*(g*g*g\/(g*(g\/((g**(-2)\/g)\/g))\/g)*g)\/g*g*g**(2\/9) assuming g is positive.\nAnswer: g**(-382\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*g**2 + 176*g**2 - 101*g**2.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 - -58.1. Let g = 38 - y. Let o = g - -17. Which is the closest to -0.3? (a) o (b) -1\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45556591 and 13768.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -1420.\nAnswer: -2840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(151\/(-37) - -4). Let t = 94 - x. Let k = 253 + t. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7810)\/100*(-1550)\/8525.\nAnswer: 71\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4402, -4303, -4138, -3907, -3610, -3247?\n\"Answer: 33*y**2 - 4435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3931.042us in milliseconds?\nAnswer: 3.931042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - x**2 - x**2 + (0*x + 3*x - x)*(-5*x + 2*x + x) + 2*x**2 + x**2 - 2*x**2)*(0 + 0 - x)*(-1 + 0 + 3).\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -4, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*u - 12*u - 14*u + 184*u + 154*u - 14*u - 12*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 44 = -4*g, -l - 14 = -3*l + 2*g. Calculate the remainder when (-8)\/2 + l + 32 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13794)\/187 + 360\/(-1530)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012.2204 plus 0.2?\nAnswer: -1012.0204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 73, -43, 0.887?\nAnswer: 0.887","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, x: 8, q: 1, d: 2}. Give prob of sequence dq.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3. Let t(s) = -s + 5. Let a be t(f). Suppose 6*q = 2*q - 3*i + 224, -a*i = -5*q + 245. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 4*m - 20. Let b be (-55)\/(-8) - m\/40. Let q(k) = -k - b*k + 9*k. Let v(g) = -9*g. Give v(q(d)).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 752 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -63952, -77, 11, 5 in descending order.\nAnswer: 11, 5, -77, -63952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 16 - (11 + -7 + -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -328\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105326 - -289717. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 9:28 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 18 = -8*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) 808.9 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 + ((-4)\/(-1) - 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 588 and 21.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1\/4)\/((-2)\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1632, 1\/36, -1\/12?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -6*r + 274, -23*r - 24*r = -51*r + 5*t + 160 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-15 - (5 - 9))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxyyuu. Give prob of sequence yyh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from {q: 2, j: 1, t: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -24*u**2. Let v(b) = 2*b + 134. Calculate l(v(m)).\nAnswer: -96*m**2 - 12864*m - 430944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/13))**24)**21*((z\/z**(9\/5))\/((z\/z**(-3\/5))\/z))**(-44) assuming z is positive.\nAnswer: z**(9044\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1688*l**2 - 1. Suppose 5*q = z + 10 + 30, -5*q = -4*z - 55. Suppose 3*m + 3 = -3*h + 18, 0 = h - 2*m + q. Is u(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 164 + -85 - (3 + -3 + -4) - (-5 - -1).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 115014?\nAnswer: -115020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6112, 6105, 6094, 6079?\n\"Answer: -2*j**2 - j + 6115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(3 - -1)*(-471)\/(-314)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 4. Suppose -m + 75 - 74 = 0. Let y be 7 - (m\/1 - 0). What is the highest common divisor of y and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3297123 to the power of 1\/2, to the nearest integer?\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: e (base 15) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - 5*n + 4*n)*(-1 - 2 + 1)*(2*n - 92 + 92) - 48*n**2 + 497 - 497 in the form x + v*n + k*n**2 and give k.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from ynnynyyynnqnqnynuq?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -31, -21, 6, 33 in decreasing order.\nAnswer: 33, 6, -18, -21, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 166*s**3 - 2*s**2 - 26*s + 136. What is the thousands digit of r(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 57*z - 196*z = -14*z - 8640 for z.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15 + (-3 - (-3 - (1 - 5))). Let p = 27 + q. Solve 5*n + 7 + p = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*s = 18, -5*f + 22 = s - 0*s. Let j = 18 + f. Calculate the remainder when 65 is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 14. Let h be l(6). Suppose g + 4 = h. Let f = 20 - g. Solve 0*d + 4*d - f = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 k, and 1 x when three letters picked without replacement from {z: 1, w: 1, d: 1, k: 2, n: 2, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from {r: 1, n: 1, q: 1, l: 1, k: 1, i: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 4) in base 3?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h + 7*h + 24 + 2*h - 10*h to g + k*h and give g.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oypysybyosyyybp. Give prob of sequence yy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (104\/12 + -3 - 7)*-3. Let s(f) be the second derivative of -5\/2*f**3 - 5\/6*f**m - 1\/12*f**5 + 0 - 10\/3*f**2 + 11*f. Factor s(z).\nAnswer: -5*(z + 1)**2*(z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*y**2)*(466*y**2 - 3 - 473*y**2 - 2).\nAnswer: 14*y**4 + 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 11*z - 16. Let m be f(-11). Let b be (-3 - 68\/m)*2*4. Let t be (8\/b)\/(24\/60). Solve -j = -t*g + 5, -5 = -3*g + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37367566, 37367564, 37367562?\nAnswer: 37367560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*r - 3*r. What is the first derivative of 3*n + 6*n**3 - 2 - r - 3*n wrt n?\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b - 32. What is k(-11)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, e: 4, u: 1, y: 1, j: 2}. Give prob of sequence yjl.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**4*j))\/j*j*j**(-6)*j**(1\/8)\/(j**(-1)*j))\/(j\/(j\/(j\/j**(10\/9))*j)*j*(j**(1\/13)*j)\/j)**(-47) assuming j is positive.\nAnswer: j**(-10747\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -856284 != -856284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3003 = 213. What is the units digit of (8\/(-18))\/2 + r\/(-54)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21 - -4)\/(3 - 2). Solve 10 = -30*y + j*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 3*d**2 + 4*d - 4. Let f be 7\/21 + ((-168)\/9)\/(-4). Let y(v) = f*v**2 - 272 + 273 - v - 4*v**2. What is -o(x) - 3*y(x)?\nAnswer: x**3 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -4. Let v = k + 5.5. Let r = -5.6 + 6. What is the closest to 0.1 in r, 4, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y - 1. Let s be j(4). Calculate the highest common divisor of s and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4355985495?\nAnswer: 3, 5, 290399033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 178, 2, 1\/150?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwmsvwwhmhvwvvvwh. What is prob of sequence hm?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n + 21*n = -6. What is the third derivative of -4*l**6 - 7*l**n - 2*l**6 + 21*l**2 + l**6 wrt l?\nAnswer: -600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/8 and 4\/(-72)*628\/(-7) + -6.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12c (base 15) in base 8?\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1828, 4, -27, -1 in ascending order.\nAnswer: -1828, -27, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -111*a**2 + 9*a - 32. Let j(c) = -95*c**2 + 9*c - 33. What is 7*j(v) - 6*r(v)?\nAnswer: v**2 + 9*v - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 12:54 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -412 - -5779\/14. What is the common denominator of -47\/112 and c?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3 = -j. Let h(c) be the third derivative of -c**6\/120 - c**5\/20 + c**3\/3 - 24*c**2. Let f be h(j). Which is smaller: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106 + (59 - 132) - (5 + 1 + -3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -4*l. Suppose 0*x = l*x - 432. Calculate the greatest common divisor of 27 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/2 + 1104016\/8. Suppose -2*b - q = -2*v, 0*b - 138000 = -2*v - b. Round v to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22316, 21240, 19448, 16940?\n\"Answer: -358*p**2 - 2*p + 22676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, j: 1, c: 3, b: 2, e: 4, p: 2}. Give prob of sequence bpj.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11178*i**2*l**3*v**3 + i**2*v + 132*i*l*v**3 - 2*i*l*v + 2*i*v**3 + 2*i - l**3 wrt i.\nAnswer: 22356*l**3*v**3 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffccfqgfqgq?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 1014?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, -2\/11, 0.5, 3 in descending order.\nAnswer: 3, 0.5, 0.22, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 9*s + 5. Let x(m) = -m - 1. What is -6*x(y) - z(y)?\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -267 - -270. What is the third derivative of -403*f**3 + 29*f**2 + 387*f**y - 90*f**2 wrt f?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -3.3\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*g - 25. Let l be (-1)\/(-3) + 1\/(-3). Let w(p) = -2*p**2 + 892*p - 1778. Let h be w(2). Put 3, h, g, l in ascending order.\nAnswer: h, l, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 88, 173, 258, 343?\n\"Answer: 85*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 - 3*h**2 + 2*h**2. Let p(s) = 2719*s - 5445*s + 2726*s - 14*s**2. Calculate m(p(f)).\nAnswer: 392*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/602 and 38\/215?\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17379 - -17385. Let s = 604361\/9 + -66984. Let a = 167 - s. Is a less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -6 (c) -5 (d) -0.1 (e) -3 (f) -403\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-1)\/(sqrt(110)\/(-2*sqrt(11))).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 39*z**2 - 4*z + 2. List the prime factors of k(3).\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-39)\/85 + 4\/10. Let d = a + -63\/85. Let y = -3 + 2. Which is bigger: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -505415.1 + 505186.0781. Let m = 229 + l. What is m rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/414 and -9.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7305, 8567, 10661, 13581, 17321, 21875, 27237, 33401?\n\"Answer: -n**3 + 422*n**2 + 3*n + 6881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -16. Suppose -j = j - 2*b + 1684, 4*b = x. Round j to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r**2 + 167 - 335 + 168.\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 28 = -5*j, -z + 2*j = -0*z - 14. Let o be (8 - z)*1\/(-2). Suppose -o*h = -t + 356, 2*h + 1478 = 3*t + t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 + 192\/108. Is (23 + -1)\/(d\/318*6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -920 + 10*k**2 + 52*k + k**3 - 28*k + 921. Determine t(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 432\/(-1560)*10450\/(-3762).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from wwxw?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 520968\/(-521016) + 1 + 0. Is n less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**3 + 1094*s**2 + 5445*s = 0?\nAnswer: -1089, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20560 is divided by 2654?\nAnswer: 1982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 78817 and 0.1.\nAnswer: 78817.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + c - 20 = 0, -3*b + 3*c = 33 - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 0) + -2*9\/(-6). Let v(n) = 15*n**3 + 3*n**2 - n - 3. Is v(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12535 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*g + 12795 = 0, 0*g - 12805 = -5*m + g. Suppose -13*c = -19*c + m. What are the prime factors of c?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 3, t: 3, x: 6, b: 1, k: 4}. What is prob of picking 3 k?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25, 56, 147, 328, 629?\n\"Answer: 5*p**3 - 4*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q - 29. Let c = -55 + 40. Let w be i(c). What is the common denominator of (472\/36 - 2)*6\/w and -1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2195\/7 - -313. Which is the nearest to -1? (a) -1 (b) h (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-3\/4))\/(b**(2\/29)\/b))\/((b\/(b**(-1\/14)\/b))\/b*b*b*b**(-1\/10))*(b\/(b\/(b*b**1)))**(-2)*b**(4\/5)*b**7 assuming b is positive.\nAnswer: b**(8159\/4060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1155*t - 4587*t + 1162*t + 1157*t + 1115*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.046 + -0.276. Let w = p + 0.46. Let d = w + 0.07. Which is smaller: 2\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/875*-5*(-2)\/((-6)\/(-3))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173064 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.56 - -25.66. Let r = 0.17 - 16.17. Let s = 16 + r. Which is smaller: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 2*a**2 - 8*a - 2. Calculate the remainder when f(8) is divided by 2 + 36 + (4 - 10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, 103, 8504, -4?\nAnswer: 8504","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 7, a: 2}. Give prob of sequence az.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/138 and 29\/18.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + 24. Suppose q - b = 7. What is the highest common factor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 7*k + 3*k)*(0*k**2 - 2*k**2 + 0*k**2) - 13*k - 7253*k**3 + 13*k - 562*k**3.\nAnswer: -7811*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -12253960 to the nearest 10000.\nAnswer: -12250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145 by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -200 - -b89?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -16. Suppose -x = -7*r + 13. Solve -15 = 6*h - r*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-1)\/(-18))\/((756\/56)\/27).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 - 5*u + 5. Let l(h) = 5*h**2 - 6*h + 6. Let g(q) = -5*l(q) + 6*s(q). Let z(c) be the second derivative of c**3\/3 + c. Determine z(g(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(((-12)\/(-76))\/(-3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**4 + 5*d**3 - 6*d**2 - 7*d - 4. Let a(o) = -4*o**4 - 4*o**3 + 6*o**2 + 8*o + 4. Let l(u) = -6*a(u) - 4*i(u). Factor l(y).\nAnswer: 4*(y - 2)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 divided by 924?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0125 + 9\nAnswer: 9.0125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x. Let s(t) = -13*t + 134*t**2 - 1030707 + 1030707. What is n(s(d))?\nAnswer: -402*d**2 + 39*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*s, 5*s + 2 = 4*v + 14. Suppose 2*r + 48 = 3*l, -5*l + v*r = -3*r - 85. Let g = l + -8. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**3 - m**2 + 653*m - 3283. What is the remainder when l(5) is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2868 and 2?\nAnswer: 5736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 28 - w**2 - 90 + 22.\nAnswer: -w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*c - 36*c + 0*c**2 + 3*c**4 + 2 - 4*c**2 to the form p*c**2 + l + m*c**3 + y*c + t*c**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbfddbddbbdddbddfdd. What is prob of picking 2 d and 1 f?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 704 = -43*z - 55*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -21099969 and -78.7.\nAnswer: -21100047.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - -1*sqrt(216)) + sqrt(216)\/(sqrt(18)\/sqrt(2)))\/((sqrt(588)*-2 - sqrt(588) - sqrt(12)) + 1*sqrt(36)\/sqrt(3)) + -1.\nAnswer: -1 - sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3))**7*(h**0)**(1\/43)*(h\/(h\/(h**(-1\/3)\/h)))**(-2\/11)\/((h\/(h*h**(3\/2)\/h))\/((h*h*h**(-4)*h)\/h*h)) assuming h is positive.\nAnswer: h**(-57\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = -489*u + 484*u + 4*v, 2*u + 5*v - 20 = 0 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -72065 (b) 1\/9 (c) 2\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 1, j: 1, y: 1}. Give prob of picking 1 y and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -51\/7?\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 72274946 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/8 + 33*x + 726.\nAnswer: 3*(x + 44)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93423906*12.\nAnswer: 1121086872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -395497, -790982, -1186467, -1581952, -1977437, -2372922?\nAnswer: -2768407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -59\/23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 5*f + 30. Calculate the common denominator of 62\/25 and 50\/f - 13*3.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1013501 + 23?\nAnswer: -1013434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 5\/(-10))\/((-3)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 279, 159, -41, -321, -681?\n\"Answer: -40*d**2 + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 5*u + 6. Let s be w(-8). What is the closest to 0 in -3, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooppaphhooppophhhhho. Give prob of picking 1 o and 3 p.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 m when three letters picked without replacement from tntthmcumuhn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/10*(-30)\/9. Let n(r) = -r**3 + 23*r**2 + 34*r - 62. Let a be n(23). Suppose 10*g = i*g + a. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53344 + 4542?\nAnswer: -44402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -67*m - 19. Let n be s(10). Find the common denominator of 113\/48 and n\/(-182) - 2\/8.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 55\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 8*d**2 - 11*d + 13. Let l be r(9). Let k be 30\/(-4)*(-12)\/l. Let t = -16 - k. Solve -p = -t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/(-102)*(-3)\/(-2))\/((-1)\/9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -213\/5 + 43. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaab when four letters picked without replacement from kablaaka.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0*k - k**3 + 1\/60*k**5 + 24*k**2 - 1\/24*k**4 + 0. Let h = -4 - -9. Calculate d(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 1:32 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**7\/o)\/o**(2\/11))\/(o**(-5)*o**(2\/3)) assuming o is positive.\nAnswer: o**(335\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 1 + 8. Suppose g = 2*a - 3. Let i = -1 - -7. Solve i = w + a*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 2. Give r(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 6:13 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npnpvvnvvpnhnpp. What is prob of picking 4 v?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - -5. Let a be 36\/b*10\/12. Let r = -303\/4 - -76. What is the nearest to 2 in r, -2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.72645232 to four decimal places.\nAnswer: 6.7265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/(-119))\/((-15)\/(-6)*200\/375).\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 10*k. Is s(3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 o when three letters picked without replacement from pjojoxxxppjoo?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -14. Let h(y) = -y**2 + 8*y + 8. Let w be h(p). Let c be 2\/(-9)*(-3)\/2. Is w at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 3, -53, -5, 5, -9, -22 in decreasing order.\nAnswer: 5, 3, -5, -9, -21, -22, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6134761 is divided by 57875.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 247330, 247331, 247332, 247333?\n\"Answer: i + 247329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 273600 (base 13) in base 9?\nAnswer: 1707276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*h + 0*h = -745, 4*h = -20. Let p be (18\/x)\/(1\/12). Find s such that -8\/5 + p*s**2 - 2\/5*s**3 + 0*s = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**4 + 6*f**3 + 36*f**2 - 216*f = 0?\nAnswer: -6, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4185 and -415.6.\nAnswer: -1739286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2443035*t**4 - 20*t**2 - 1094642322*t wrt t?\nAnswer: 29316420*t**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 25.2 (b) -3 (c) 0.4 (d) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 1. Let t(w) = -1. Let y(b) = 7. Let n(m) = 6*t(m) + y(m). Let u(o) = 3*o. Let c(s) = -n(s) - u(s). Determine -c(i) - 2*d(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-21) - (-6784)\/(-448) - (-15)\/(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99 + 325*y**2 - 173*y**2 - 147*y**2 to b*y + j*y**2 + d and give d.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15*(-5)\/(-45))\/(32\/(-18)*39\/(-572))?\nAnswer: -55\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4818934 is divided by 191?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17520, -2, 3, 1 in descending order.\nAnswer: 3, 1, -2, -17520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 116. What is k(-56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1240 + 4454. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 2. Let v(l) = -l**2 + 5*l + 6. Let m be v(5). Let n = m + 0. What is the lowest common multiple of p(5) and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -24. Calculate the remainder when 108\/(-7)*(-5 - 2) is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s**2 - 42701630*s - 14233876 = 0. What is s?\nAnswer: -7116938, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 7 = 70*f - 71*f, -3*q = -4*f + 25 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, l: 6, d: 3, w: 2, b: 1}. What is prob of sequence wddd?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 6. Let k be 9 + 309\/(-33) - 682\/121. Let z(w) = -w**2 - 11*w - 11. Let l be z(-8). Let h(c) = c - 13. What is k*h(x) + l*b(x)?\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.6 + 14.5999911. What is l rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*n + m, 22*n = -10*n - 4*m - 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33434188 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6086 by -4.\nAnswer: -3043\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66203\/4 - 16559. What is the common denominator of y and (30\/32)\/((-34)\/24)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -113, 0.01, 3\/2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 2*t**2 - 4 - 36*t**4 - 15 + 85*t**4 + 5 - 2*t as j + i*t**2 + w*t + g*t**4 + o*t**3 and give g.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - k + 6 + (-k - 3 + 3)*(1 - 1 + 1) + 2*k + 0*k - 3*k to the form b + f*k and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2261854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, 0, -1357?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 15*l**3 - 304*l**2 - 21*l - 5. List the prime factors of v(21).\nAnswer: 5, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqbdbbkbb. What is prob of picking 1 q and 2 b?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76.30569 - -76.3. What is w rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aavv when four letters picked without replacement from {v: 6, j: 4, a: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-54)\/(-4))*3)\/((-11774)\/10092).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 3:30 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 8*j + 4*j = -378, 5*s + 2*j - 384 = 0. Let g be 72\/39 - 4\/s*-3. Calculate the greatest common factor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50202406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112*d**2*u*y**3 + 34*d**2*u*y**2 + 2*d**2 - d*u*y**3 - 3057*d*u - u*y**3 wrt d?\nAnswer: -224*u*y**3 + 68*u*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8828 is divided by 310?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/3 + 68\/(-17). Solve -7 = v*c + 14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 185122, -1, 5 in decreasing order.\nAnswer: 185122, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 66\/72 - 2 - (-1)\/1. Which is the closest to 0? (a) 4 (b) q (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.28449 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 144*r + 304.\nAnswer: -4*(r - 38)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -127 (base 8) to base 5\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -14113, -23, 1 in ascending order.\nAnswer: -14113, -23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.2. Let t(o) = -o. Let u be t(-10). Let b(m) = -m**2 + 11*m - 7. Let s be b(u). What is the nearest to h in 1\/5, 1\/3, s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w. Let i(g) be the first derivative of -2*g**3\/3 + 2. Give a(i(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2567.2713 - -2565.3. Let v = 0.0287 - x. What is the smallest value in 3, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-126)\/27 - 36.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1447\/6 + 241. Which is the smallest value? (a) w (b) 0 (c) 92\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10208 - -10912. What is the smallest common multiple of p and 2112?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11 - 8 + 23 - 19*k - 12*k. Let t be m(-11). Suppose 4*g - t = 1795. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1533)\/105 + 15 + 28\/(-95)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 13*a**2 - 32*a - 29. Let u be z(-15). Suppose 22 = 5*q - 4*i, -3*q - i = i. Solve q*s = -u - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u. Let z be (-42)\/(-12) - (-1 + u). Is 6 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14730 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 4*u + u)*(-23*u**4 - u**2 + 38*u**4 - 39*u**4).\nAnswer: 72*u**5 + 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.45. Let m = -0.05 - u. Let p = -0.1 - m. Round p to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 2814296*j - 990032746952.\nAnswer: -2*(j - 703574)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 3:40 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-80)\/(-64))\/(3\/(-12)). What is the biggest value in 0.089, -0.1, p?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 67 - 9750*b + 9755*b + 80 in the form x + p*b and give x.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 260 + -46. Let n(h) = -h + 29. What is the remainder when u is divided by n(-7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84093495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73087628?\nAnswer: 2, 1063, 17189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 66. Find the third derivative of -1 - 194*u**y + 6*u**2 - 3 - 5 - 6 wrt u.\nAnswer: -1164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*s**2 - 21*s**2 + s**3 + 42*s - 3*s**3 + 8*s**2 - 51*s to u + w*s + o*s**3 + d*s**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(110)*3 - sqrt(110)) + 2*sqrt(110)*1 + sqrt(110))\/(-3*(sqrt(1000) - (sqrt(1000) + sqrt(1000) + sqrt(1000) + sqrt(1000)*1)) - sqrt(1000)).\nAnswer: sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -7233.015?\nAnswer: 21699.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86530638*q**3 + 84613195*q?\nAnswer: -519183828*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4171 - -4171. Sort 39, 1, 1\/13, x, -5 in ascending order.\nAnswer: -5, x, 1\/13, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-12))\/((-5)\/40*5)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v + 179 = -4*c, -3*c - 3 = 2*v + 50 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -381813, -381870, -381927, -381984?\nAnswer: -382041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12*t**3 - 4*t**2 + t - 4. Let c(z) = -24*z**3 - 9*z**2 + 3*z - 9. Calculate 6*c(s) - 13*y(s).\nAnswer: 12*s**3 - 2*s**2 + 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 + -36?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -35. Let v be 0\/((-4)\/(-4)) + (-6)\/t. Suppose 3*c - 15 = -v. Solve -f = -c + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77.1951 + -0.1049. What is y rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 20 = -8. Factor -16*f**v - 10*f + 65*f**2 + 4*f**4 + 41*f**4 - 78*f**3 - 26*f**3.\nAnswer: 5*f*(f - 2)*(3*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**(-3)*(u*u**(1\/5)*u*u)\/(u\/(u\/(u**(-1\/2)\/u*u))))\/(((u**(-2)*u)\/u)**14)**27 assuming u is positive.\nAnswer: u**(7627\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*r = 2*z - 20, 3*z + 5 = -2*r. Suppose n + 3*j + j - 36 = 0, 0 = 5*j - 20. Let u be (-4)\/10 + (-12)\/n. Is z <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26, 23, 110, 241, 422, 659, 958, 1325?\n\"Answer: p**3 + 13*p**2 + 3*p - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/1*(-17)\/(4 + -3). Suppose 5*v = -5, 3*v - j + 290 = 5*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1911958 and 76630.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 29. Calculate the remainder when 42 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98606794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h**2 + 50*h**3 + 2*h**2 + 18*h**2 + 2*h**2 - 1 - 32*h**2 in the form t*h**3 + b*h**2 + g*h + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 1291277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-2 + -5)*-6.\nAnswer: 30 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 2*l**3\/3 + 38*l**2 - 160*l - 183. Factor b(y).\nAnswer: 2*(y - 2)*(y + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/7, 1, -46531, 0.1.\nAnswer: -46531, -8\/7, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 814113225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*s = -1325, c = 9*s - 14*s + 273. What are the prime factors of c?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*i**3 - 10*i + 31*i**3 + 2 + 25*i to the form q*i + x + v*i**3 + n*i**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 1, j: 1}. What is prob of picking 1 l and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 98 + 225?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*(-1)\/(9\/(-6)). Let j be (-24)\/20*(-20)\/l. Suppose -3*w + 2 + 7 = 0. Solve w*k + j*n - 10 = 2*n, -4*k - 2*n = -14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124954 (base 13) to base 3\nAnswer: 211021220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 199 (c) -1 (d) 433\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**3 + 5*c**2 + 9*c. Let l(a) = 9*a**3 + a - 9*a**2 - 15*a - 3*a. Give 6*l(j) + 11*u(j).\nAnswer: -j**3 + j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 1\/6*t**3 + 0 + 0*t + t**2 + 1\/8*t**4. Let a(h) = -h. Let u be 791 - 816 - (-2 + -25). Give u*x(g) + 5*a(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -43 (b) 3 (c) -0.4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-5))\/(((-242)\/55)\/11)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 59 + 37. Suppose -53*s = -54*s + z. Suppose 5*p - g - s = p, -g + 5 = 4*p. Which is the nearest to 0.1? (a) p (b) 3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.38354148*6\nAnswer: 2.30124888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-10))\/((-6)\/20). Let c(s) = 5 + 0*s + d*s - 5*s + 5*s + 3*s**2. List the prime factors of c(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 10*1 + (-360)\/(-45).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558663987.\nAnswer: 3, 7, 26603047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1281, 2563, 3845?\n\"Answer: 1282*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9613, 16529, 20749, 22273, 21101, 17233, 10669?\n\"Answer: -1348*b**2 + 10960*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 1. Suppose 0 = g - 5*g - 5*j - 14, -2*g - 4 = j. Let a(w) = -4*w + 7. Let q = -12 - -7. Determine g*a(k) + q*u(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -6) + -27 - (-1229 + 1287)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -471 and -5.46?\nAnswer: 2571.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmggoppmuugoo. What is prob of sequence pogm?\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**2*p**3 + 907*h**2*p**2*q**2 + 2*h**2*p**2 - h**2*q**3 + 12*h*p*q**3 + 1427*p**3*q**3 - q wrt q.\nAnswer: -6*h**2 + 72*h*p + 8562*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 53*l**2 - 2*l. Let g be h(1). Suppose -1925 = -66*q + 31*q. Which is smaller: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqfqqqffqq. Give prob of picking 1 f and 1 q.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3164.5 rounded to the nearest 10?\nAnswer: -3160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101022 + 22?\nAnswer: 101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 divided by -585854?\nAnswer: -133\/292927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 55*w + 125. What is u(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2.8. Let q = 0 + 0.2. Let u = q + 0.3. Which is the smallest value? (a) j (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 21*x - 7*x)*(-2*x + 3*x**4 + 2*x) + x**5 - 5*x**5 + 2*x**5 + (-x**4 + 0 + 0)*(x - 2*x - x) + x**5 + x**5 + 0*x**5 - 3*x**5 + 4*x**5 + x**5.\nAnswer: -77*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -128363, -128367, -128371, -128375, -128379?\n\"Answer: -4*h - 128359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 - (-16)\/(-24))*-6*1. Suppose 40 + 140 = -4*z. Do s and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6887*x + 519*x + 4136*x.\nAnswer: 11542*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -278*c + 282*c. Solve -3*v + c*k + 23 = 0, -k - 4 - 20 = -4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148.2 + 1891695364.4\nAnswer: 1891695216.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 76, 42, -16, -98, -204, -334?\n\"Answer: -12*b**2 + 2*b + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f - 14*f - 2*f in the form q + h*f and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/4*4\/(-5). Is (-382)\/(-3) + a\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11867, -11864, -11861, -11858?\nAnswer: -11855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 + 1. Suppose 1 = 3*h - 4*h. Let c be n(h). Let w(t) be the third derivative of t**6\/120 + t**5\/20 - t**4\/12 - t**2. Calculate w(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73249 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2906)\/8)\/(5*12\/(-480))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**3\/5 + 189*c**2\/5 - 186*c\/5 = 0.\nAnswer: 0, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8810.2 weeks to microseconds.\nAnswer: 5328408960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527*t**2 + 1057*t**2 - 529*t**2 + 45*t.\nAnswer: t**2 + 45*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*f - 8 = 2*d, -2*f = 4. Put 2, -5, d in increasing order.\nAnswer: -5, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvm when three letters picked without replacement from mvwqwqcr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3977900 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 132 + 477 = 5*f, -207 = -3*f - 5*u. Calculate the greatest common factor of f and 123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90.456 - -90.45647323. Round r to 5 dps.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 718867787?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4761 and 668127?\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 u when four letters picked without replacement from uuufffuuss.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1723 times -1400\nAnswer: 2412200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 5*u**4\/22 - 2*u**3\/11 - 2*u**2\/11 - 5. Factor q(o).\nAnswer: 2*o*(o - 1)*(5*o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, 4\/15419, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6*-34*98\/2499*2\/1*-1\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 + 1247 = 31*q - 76. Suppose -2*x - 5 + 17 = 0. Suppose -x*r + 92 = -2*r. What is the highest common factor of r and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7954021 bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2242, 8212, 17930, 31402, 48634, 69632?\nAnswer: 94402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 344*r + 68817. Give f(-200).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 23*q**2 - 5*q + 7. Let b be d(22). Factor b*w - 380*w - 5*w**3 + 4*w**3.\nAnswer: -w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111 - -15. Is 9\/(y\/(-4)) + 4752\/21 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 991 + 5*d**2 + 736 - 7*d**2 + 260*d.\nAnswer: -5*(d - 51)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14490000 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 484 + -479. Let k = -64 + 85. Solve 6 = n*o + k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/(v**2*v)*v)\/v)\/(v*v**(-3))*v**(1\/2)\/v**(-1\/6))**14 assuming v is positive.\nAnswer: v**(112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 69271, 69425, 69579?\n\"Answer: 154*q + 69117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -572.\nAnswer: -25\/572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.12 - -12.12. Let k = -9 + o. Which is greater: 0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(10) + (sqrt(30)\/sqrt(3) - sqrt(10)))*3)\/(sqrt(24)\/(sqrt(48)\/sqrt(4))).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 14, 14, -2, -40, -106?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -15.6. Let j = b - -0.4. Let z(h) = 2*h**3 - 27*h**2 + 106*h - 1683. Let w be z(14). What is the closest to j in w, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14821 - 6058 = -924*r - 551 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 9. Suppose -5*f + 40 + 25 = 0. Suppose 4*l + 10 + 24 = 5*a, -3*a - 5*l = -f. Let d be u(a). Solve -2*x + 5*x = d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*l**3 - 56*l**3 - 6*l + 6*l.\nAnswer: 57*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 184 = 5*x, -3*x = -3*v - v - 116. Is 35 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20100662.7 rounded to the nearest 10000?\nAnswer: -20100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -232 - -232.156. Let f = b - 0.401. What is f rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 149686682 and 332.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*n - 28*n + 9457 = -77*n - 1551 for n.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 2123 - 2121, -3*x - 2*p = -8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-3\/14)*y)\/y)\/y**(-4\/11))**43)**(-16) assuming y is positive.\nAnswer: y**(-7912\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 5*g**2 + 10*g - 11. Let s be u(6). Let b be s\/2 + 7\/(-14). Solve 0*d - 16 = 2*i - 3*d, -b = -5*i - 4*d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2))**(9\/4)*((n**(1\/5)*n)\/n)\/(n*n**2))\/((n\/(n*n\/(n**(-2\/9)\/n))*n)\/(n*n**(-1)\/n*n)*(n**1*n)**(-44)) assuming n is positive.\nAnswer: n**(30707\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0974986618 rounded to three dps?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 22. Let a be f(-14). Let y(x) = -a + 4*x + 22 - 8 - 6. What is y(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 4*x - 6. Let z be (-34)\/7 + 210\/245. Give l(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -1091*g - 172. Let f(x) = 545*x + 94. Determine 11*f(h) + 6*q(h).\nAnswer: -551*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand 160*v**3 + 98*v**2 - 98*v**2 + (-2*v**3 - v**3 + 2*v**3 + (-v**2 + 2*v**3 + v**2)*(-6 + 3 + 4))*(1 + 3 - 3).\nAnswer: 161*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3300 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + i**2 + i - 1. Let z(r) = 7 + 0*r**2 + 18146*r**3 - 3*r**2 - 3 - 18141*r**3 - 6*r. Give -6*l(n) - z(n).\nAnswer: n**3 - 3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/13)*t**11)\/(t\/(t**(-21)\/t)*t*t*t**(8\/7)*t) assuming t is positive.\nAnswer: t**(-1392\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.22?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/728 and 101\/16?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24187 is divided by 6030.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28\/9? (a) 0.5 (b) -112 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4\/2 + 225*m**3\/2 - 441*m**2\/2 + 219*m\/2 = 0. What is m?\nAnswer: 0, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 1:07 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (-4 + (sqrt(448) + -1 + sqrt(448) + sqrt(448))**2) - ((0 + sqrt(448))*-2 - sqrt(448)))*-3*6.\nAnswer: -1440*sqrt(7) + 72522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/2926 and -47\/589?\nAnswer: 90706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 9*d**2 - 11*d - 7. Let a = -25 + 4. Let i = a + 13. Does 5 divide g(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8 - 838\/(-8). Let f(z) = -z**3 + 2*z**2 + 7*z + 7. Let a be f(4). Suppose -4*h + 15 = -a*h. Calculate the greatest common divisor of h and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 + 21*s.\nAnswer: -s*(s - 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 + 24*t + 5. Let p be 18*(-2)\/18*3. Let m be h(p). Suppose u = m*r - 30, -r - 2*r - 2*u + 5 = 0. Which is greater: r or -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 18 = -6*q. Let r(u) = -u. Let h(p) = 8*p - 2. Let x(j) = h(j) + 6*r(j). What are the prime factors of x(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 30 + 2 = 0. Suppose -3*m = -2*l - 0*l + n, l = -3*m - 1. Let y(q) = 2*q + 3. What is the units digit of y(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 10:11 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 368 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76433 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -343*j**5 + 8 + 19*j**2 - 23*j + 94*j**2 + 21*j**2 + 161*j**3 - 392*j**4 - 45*j = 0. What is j?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/3*2\/3. Suppose -5*m + 0 = -3*k + 21, 0 = 3*k + m - 21. Find the third derivative of k*i**4 - j*i**2 - 3*i**2 + 3*i**2 wrt i.\nAnswer: 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6032103*a - 6032221*a + 12036 = 0 for a.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -95, -216, -385?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2007\/252 - 8)\/(198\/(-176)).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1442 + 2267. Suppose 7*d - 134 = w. What are the prime factors of d?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126.7 + -127. Put i, -5, 3\/4 in ascending order.\nAnswer: -5, i, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17841390 is divided by 8920690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u = 8*u + 5200. List the prime factors of u.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4007106 or 4007107?\nAnswer: 4007107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2624 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.2. Let n(v) = 4*v**3 - 2*v**2 + 4*v - 11. Let p be n(3). Suppose -90 = -0*b + 3*b + 5*t, 0 = -4*b + 3*t - p. Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4028234621?\nAnswer: 4028234621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181548153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + t**2 - 2*t + 1. Let f(s) = -14*s**3 + 70*s**2 - 182*s + 70. Let b(a) = f(a) - 70*n(a). What is the second derivative of b(v) wrt v?\nAnswer: 336*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-7)*z)\/z*z*z*z**(1\/5)*z)\/(z*z*z**(-4\/9)*z**(2\/7)) assuming z is positive.\nAnswer: z**(-1462\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-315)\/140)\/(1*6\/(-8)). Let r(x) be the second derivative of 1\/9*x**d + 0 - 3*x + 1\/36*x**4 + 1\/6*x**2. Factor r(i).\nAnswer: (i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -254*c - 1. Is l(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(45)*-1*6)\/(sqrt(3)*-1*2))\/(1*(sqrt(27) - 1*-2*sqrt(27))\/sqrt(9)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/92004 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/50)\/z)\/(z\/((((z**(-30)\/z)\/z*z)\/z*z)\/z))*z**(-8\/7)*z\/(z\/(z*z**12*z)*z)*z*z assuming z is positive.\nAnswer: z**(-7057\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (21 - 17)*38\/4. What is the remainder when 0 - ((-26)\/g + 1004\/(-6)) is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -33*(-8)\/(-138) + 2. Which is the second smallest value? (a) -5 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b**3 - 45*b**2 + 9*b + 137. Let f(c) = 2*c**3 + 20*c**2 - 4*c - 69. Determine -9*f(v) - 4*r(v).\nAnswer: -2*v**3 + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**6\/150 - 11*x**5\/75 - 31*x**4\/30 - 14*x**3\/5 - 9*x**2 + 15. Factor m(a).\nAnswer: -4*(a + 1)*(a + 3)*(a + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-585)\/10*(-4)\/6. Let w(h) = -2*h + 93. Let y be w(27). Let l = k - y. Solve 1 = u - l*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(6*(sqrt(68) + -2)*2 + 0))**2.\nAnswer: -1152*sqrt(17) + 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 67 - 23 = 3*m, -2*m + 18 = v. Calculate the smallest common multiple of 10 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a factor of 48916522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/5, 0.26, -70685, 3, -5\/4?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12686993729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*v - 308*v - 169*v = -8338 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72727 is divided by 577.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -8)*(6 + -2). Let a = q - 16. Suppose -5*f + 4*p + 27 = -a, -4*f = 2*p - 4. Solve -3 = -f*h - 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-432)\/(-12))\/12*(-1)\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 6*v**2 + 2*v + 6. Determine h(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-12)\/(-4))\/2. Let y be 5\/((-10)\/v)*-33. Let l = -33 - y. Solve -f = -l*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 11, 2, -2.\nAnswer: -5, -2, -1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -9. Let s = 0.44064 + 0.04106. Let p = 0.0183 + s. Which is the third biggest value? (a) 3\/5 (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3 + (-30)\/18. Does 5 divide (15\/z)\/((-3)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*c - 0*l - 2*l, -5*l + 27 = 2*c. Is 1\/2 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209462.\nAnswer: 2, 11, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 25 = -m - 6*r, 15 = -3*m - 3*r. Suppose -4*q + 3*f - 4*f + 155 = m, -38 = -q - f. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26936.\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -18*t**2 + 936*t - 1. Calculate l(52).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(1 + 0) - -2. Let b(d) be the third derivative of d**4\/24 - d**3\/3 - 3*d**2. Give b(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 1\/4, -0.09, -18?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 greater than 424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 + 101.96. Let f = p + 1.14. What is the closest to f in -2\/3, -1\/45, 0.5?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87666 divided by 29222\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 divided by 1.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 653*k - 60173. What is b(111)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -1\/4*z**4 + 0*z**3 + 0 - z + 0*z**2. Let d(q) = 188*q**2 - 590*q**2 + 213*q**2 + 194*q**2. Determine d(i(j)).\nAnswer: 45*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.711 + 3.511. Which is the nearest to -33? (a) -0.4 (b) 3\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -6\/7 (b) -1 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 33876?\nAnswer: 33872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*k + 123, o + 375 = 4*o + 4*k. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, -952, -1982, -3012, -4042, -5072?\nAnswer: -6102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3816410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 38*b - 187730 = -186250 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 15, 5*f - 110815 = 6*f - 5*o. Round f to the nearest 1000.\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 26*i + 113. Suppose 0 = -5*n + a + 22, 0 = -a + 1 - 3. What is the remainder when p(21) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54015646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2519 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8679 and 526?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -934940.54 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.7, -24, 4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 3391*i**2 - 276080*i - 5553600.\nAnswer: (i - 3471)*(i + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -78*a - 233. Give d(-14).\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l - 1. Let c be m(1). Suppose -c*i + 4*i = -96. Suppose 10*k + 0*k + 27482 = 27542. Calculate the highest common factor of i and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 15 = -4*w + g, -5*g + 15 = -5*w. Let i(f) = -f**3 + 4*f - 15. What are the prime factors of i(w)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 + 82*n + 154. Let w be y(-38). Let k be w\/(-296) + 1\/12. Factor k + 0*i - 1\/3*i**2.\nAnswer: -(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 366, 369, 372?\n\"Answer: 3*q + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 2\/27?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + z - 7. Give w(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -o + 2*a + 16, o - 3*a - 11 = 0. Let i = 24437.5 + -24437. What is the third smallest value in i, -1\/5, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 13*q + 14. What are the prime factors of (1 + -2 + q)\/(40\/(-10960))?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28.3787 * -0.62\nAnswer: 17.594794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 136 - 85. Suppose 11*m = 4 + w. Calculate the greatest common factor of 25 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 5. Let b(l) = 1. Let a(o) = -10*o - 181. Let k be a(-18). Determine k*i(u) + 5*b(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 - (5 - 9 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (117\/(-36))\/(-13)*32\/4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/534996 and -85\/352?\nAnswer: 4279968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*q**3 + (-q + 3 - 3)*(q**2 + 5*q - 5*q) + (2*q - q + 0*q)*(4*q + 2*q**2 - 4*q) + q**3 + 3*q**2 - 3*q**2 + 0 + 0 - q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -6, 2\/3, 0.5, -0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 77652 (base 8) to base 11\nAnswer: 22611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-180)\/16)\/15)\/(2*1\/8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*y - 20*y**2 - 32*y + 22*y**2 + (-y**2 + 5*y**2 - 2*y**2)*(1 + 37 + 20) - y + y + 2*y**2.\nAnswer: 120*y**2 - 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 14. Let h be 48\/l + 2\/5. Let j be 36\/20 - (-2)\/h. Sort 1, j, -6.\nAnswer: -6, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - 1.09. Let t = -1.6 - x. Sort -0.02, 0, t, -2\/3 in increasing order.\nAnswer: -2\/3, t, -0.02, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from cctcctcctccctc.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/9 - 10992*n**4 - 395746*n**3\/9 + 10992*n**2 + 395744*n\/9 = 0.\nAnswer: -4, -1, 0, 1, 49468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m**2 + 3*m**2 + 3*m**2)*(-439 + 138*m + 439) + 46*m**3 - 24*m**3 - 26*m**3 as b + y*m + g*m**2 + c*m**3 and give c.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.068 from -12579573341.79.\nAnswer: -12579573341.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 7 = 4*m + 9, -5*d - m - 10 = 0. Which is the nearest to -2? (a) -2\/3 (b) 1\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**4\/36 - d**3\/6 - 2*d**2\/3 + 43*d - 1. Factor p(v).\nAnswer: (v - 4)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -5) + 3 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-9) - 13\/(-3). Let u = 10 - j. Solve -u*v + 2*o - 3 = -v, 0 = -2*v - 4*o + 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.3 - 2.3. Which is the nearest to -1\/2? (a) 0.4 (b) s (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -21. Factor 5*n + 20*n**2 - 16*n**3 - 3*n + n - y*n**4 + 5*n.\nAnswer: -4*n*(n - 1)*(n + 2)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**5\/5 - 28*z**4\/5 + 48*z**3\/5 + 16*z**2\/5 - 64*z\/5 = 0.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 6*t + 228. Let l = t - -113. Let a(p) = -18*p**2 - l*p + 37*p. Let k(i) = i**2. What is k(a(o))?\nAnswer: 324*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -21604*b + 324058. Give c(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528) - (sqrt(528) + -1*sqrt(528) - sqrt(528))*-5 - sqrt(528)) + sqrt(528))\/(6*(2*sqrt(432) + sqrt(432))).\nAnswer: -2*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = -11*d + 5*u - 35, 2*d - 4*u = 2. What is the second derivative of 277*q**d - 4*q**2 - 236*q**5 + 4*q**2 - 32*q wrt q?\nAnswer: 820*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 3, -11.9 in ascending order.\nAnswer: -11.9, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07265371 and -8.\nAnswer: 0.58122968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from ccaazecczazcaaaccee.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.741771 millimeters in kilometers?\nAnswer: 0.000005741771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4890)\/837 + (-5)\/10. Let u = y + 35\/62. Calculate the common denominator of u and -20\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2136.36 times -217\nAnswer: -463590.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbzk when four letters picked without replacement from {z: 8, e: 1, b: 5, f: 2, k: 3}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 520 = -5*a, 5*a = 2*r - 5*r + 344. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 5)*28\/140. Let s(l) = -3*l**2 - 7*l - 7. Let z(r) = 4*r**2 + 10*r + 10. Let y(b) = -7*s(b) - 5*z(b). Determine y(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 18 = -4*d + 6, -9 = 3*d. Suppose 11*n - 8*n - 12 = r. Let s be 2\/(-1 + -1 - 0). Put 3, n, s in ascending order.\nAnswer: s, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 2*x - 3*j, 2238 = -90*x + j + 1963 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1686390 divided by -6\nAnswer: 281065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 10*w**2 - 7*w - 10. Let n be a(9). Calculate the highest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15466864 to the nearest integer?\nAnswer: 3933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -15*t - 4*d + 1664, -1348 = -4*t + d. Calculate the lowest common multiple of t and 24.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12 - 13)\/(1\/(1557\/1)). What is the common denominator of -77\/2 and (9 - g\/(-144))\/(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-8)*10*4. Let k = a - 0. Suppose -3*x + 2 = 2*o + 2*o, -3*x = o - 5. What is the remainder when k is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -i + 12. Let q(w) = w**3 + 5*w**2 - 5*w + 6. Let c be q(-6). Solve -f - i*f - 20 = c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60a (base 11) to base 2.\nAnswer: 1011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.06+-4208\nAnswer: -4208.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861559.\nAnswer: 861559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412*w = -403*w - 27. Solve i - w*u = 3*i - 13, -2*i - 4*u = -16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.5 - -1.5. Let l = -6.94 - g. Round l to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 743\/8 - 93. Let j = -18 - -14. Which is the fourth biggest value? (a) -0.3 (b) k (c) j (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 1. Let k(l) = l**2 + 5*l - 7 - 5*l + 9. Calculate -5*k(i) - 6*m(i).\nAnswer: i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**6\/60 - 7*q**5\/60 - 5*q**3\/3 - 5*q**2. What is the tens digit of w(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (sqrt(112) + 0) - sqrt(112)) + -2 + -4)**2*2.\nAnswer: 96*sqrt(7) + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 9 - (-31 + 35).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 3*f - 4. Let x(k) = 14*k - 3*k**2 + 8 - 19*k - 1. Let v(q) = -5*j(q) - 3*x(q). What is the first derivative of v(g) wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2. Let u(g) = -336*g + 2. Determine r(u(a)).\nAnswer: -225792*a**2 + 2688*a - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 911256 and 40?\nAnswer: 4556280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2575465 divided by -5\nAnswer: 515093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(3\/7)*(s*s\/((s\/(s\/((s**(-4)\/s)\/s)*s*s))\/s))\/s)\/((s*s**(2\/29))\/s**(-9)))**(-6\/17))**(-2\/5) assuming s is positive.\nAnswer: s**(876\/17255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 - 4*d**2 + 5*d - 3. Let n(q) = 3*q**3 - 5*q**2 + 5*q - 2. Suppose j + 3 = -0. Let l(p) = j*n(p) + 2*y(p). Does 28 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -p - 83 + 72, p = q + 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/9968 and 39\/24430.\nAnswer: 17394160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391012.\nAnswer: 2, 67, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 17. What are the prime factors of t\/(-9 + 4) - (-105)\/1?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-5) - ((-308)\/(-35) - 8). Is z >= 14\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**2 + 5200415*j - 3370311 with respect to j.\nAnswer: -4*j + 5200415","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0 + 0)*(-7*t + 6 - 6 + (3*t - 5*t + 4*t)*(-1 - 2 + 2) + 2*t + t - 2*t) + 2*t**2 - 2*t**2 + 2*t**2.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + c**2 + c + 8. Let a be k(0). Solve -5*d + 4*g + a = 0, 0*g - 3*g - 6 = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 (base 14) in base 7?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289537.\nAnswer: 139, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + h - 5. Let w be 119\/28 + 1\/(-4). Suppose -l = w*l. Let i = 0 - l. Determine u(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 61, 95, 129, 163?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 3546.\nAnswer: -1\/1182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - k**2 + k + 17. Let d be y(0). Suppose 0 - d = -c. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21.352 + -0.148. Let r = -21.9 - s. Let f = -0.05 + 3.05. Is f < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 5*d + 24. Suppose -212*h - 398 = 1086. Give x(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 25 = 4*k - 2*y - 0*y + 13, 4*y = 60*k - 68 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266215217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834650079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 952 - 4665 = 98*n + 1971 for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 8*m**2 + 11*m + 10. Determine a(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513*m + 373*m + 1120 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/(-10))\/(-4 + 2395\/600). Suppose -x + 5*x = n. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -851*-681225.\nAnswer: 579722475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -12341?\nAnswer: 12334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from mppxxxxpqpqm?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1013*n**3 - 541944 + 541944.\nAnswer: 1013*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u - 2*u - 4*u + (7 + 1 - 4)*(u + 0*u - 14 + 12) as d + v*u and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-1 + -2)) + 3 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 416532, 416546, 416560?\n\"Answer: 14*q + 416518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 8542\nAnswer: 1708.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2023332031 - 0?\nAnswer: 2023332031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-34))\/((-3)\/(-4))*1060\/424.\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101111101011000101111 (base 2) to base 5.\nAnswer: -1414044221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, -139, -392?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*u - 1\/9*u**2 - 1\/3.\nAnswer: -(u + 1)*(u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9686461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 62. Solve r*h = 4*u + 18, 0 + 12 = -4*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(378)*1)\/(-1*(sqrt(6) + sqrt(6) + 2*sqrt(726))).\nAnswer: -3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 12*g - 21. Let f(z) = 2*z**2 + 0 - z**2 + 1 + z + 0 + 19*z**3. Let u be f(-1). Is r(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4 - 12 = -2*m, 5*d = -m + 11. Calculate the remainder when 27\/(-18)*-29*(3 - m) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4768.475 - -58200?\nAnswer: 62968.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(-10\/3)\/(l*l\/(l\/l**(-6\/5))*l\/l**(1\/6))*((l**(1\/6)\/l)\/l)\/((l*(l*l*l**(-1\/10)\/l)\/l)\/l)*l**(-7)\/l*l\/l**4 assuming l is positive.\nAnswer: l**(-401\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4233731 is divided by 1411235?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 595 divided by -4\nAnswer: -595\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2\/9)*f)\/(f\/(f*f**7\/f)))**(11\/5))**(-2\/15) assuming f is positive.\nAnswer: f**(-308\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2951.\nAnswer: -2\/2951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 71, -0.5, 0.5, 37, 10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*t + 9*t = 2758. What is the remainder when t is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 7)*(10204*y + 10204*y - 8*y**3 - 2 - 20406*y + 2*y**2).\nAnswer: 24*y**3 - 6*y**2 - 6*y + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5*h = 5, h + 9 = -4*s - 0*h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9602, -9288, -8954, -8600?\n\"Answer: 10*u**2 + 284*u - 9896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.94 + -1. Let x = -24.9 + 29.96. Let z = v + x. What is the second biggest value in -0.4, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-1)\/(-1)*12. Let c(q) = 7*q**2 - q**3 - h*q**2 - 1 + 3 - 6*q. What is the units digit of c(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6757617 to the nearest one hundred thousand.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5 - 482*o**4\/3 + 5430*o**3 + 26294*o**2 + 13396*o\/3 - 16240 = 0. What is o?\nAnswer: -105, -4, -1, 2\/3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, r: 3, z: 4}. What is prob of picking 3 r?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.54 times -0.02\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 526592309*r**3 - 210247710.\nAnswer: 1579776927*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000372699 rounded to 7 decimal places?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5)\/v)\/v)**48*(v\/v**(2\/3))**(-7) assuming v is positive.\nAnswer: v**(-1187\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -39*g**7\/70 + 161*g**4\/24 - 106*g**2. Find the second derivative of n(r) wrt r.\nAnswer: -1404*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325 times -0.1472?\nAnswer: -342.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 4. Let c = -55 - -55. Calculate h(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (27\/(-6) + 3)*10\/(-3). Solve -6 = p*a - 7*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*x - u + 354, -4*x - u + 351 = 0. Let v = x - 36. Let h = v - 18. Calculate the greatest common divisor of h and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4*m = 0, -8131*o - m = -8129*o - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 64798, 129586, 194374, 259162, 323950?\n\"Answer: 64788*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 140442944 to the power of 1\/2, to the nearest integer?\nAnswer: 11851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4873176 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*p - 363 = 0, -2*c + 25 + 159 = 2*p. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m + m)*(21 - 16 + 5).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 3. Let f be x(11). Suppose -f*k = -17*k + 30. Suppose -343 = -k*z + 747. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10402 (base 6) in base 13?\nAnswer: 86c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 - 1002333203?\nAnswer: -1002333020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-82*b + 82*b - 42*b**2)*((-b + 1 - 1)*(1 + 2*b - 1) - 7*b - 11*b**2 + 7*b + 8*b + 3*b**2 - 8*b) as s + c*b + q*b**3 + f*b**4 + k*b**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/49*-7*2*2\/(-248)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2490 and 1452?\nAnswer: 602580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p - 46*p + 8*p + (0 + 0 + 1)*(4*p - 3*p - 2*p) + 4*p + 0*p - 5*p to q*p + a and give q.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -296*t + 7084 + 2092 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2)*d\/d**(3\/7))**(-1\/5) assuming d is positive.\nAnswer: d**(-1\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 + 19*b**2 - b + 50. Is 14 a factor of y(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6762)\/(-245))\/(4\/10). Suppose -61*t = -c*t + 16. Factor 3\/2*s**t + 0 + 15\/2*s.\nAnswer: 3*s*(s + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 29 - 19 = 3*j, 5*j + 46 = -3*u. Let c = u - -26. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.271263 to three dps.\nAnswer: 0.271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q**4 - 1049320*q**3 + 349774*q**2 = 0. Calculate q.\nAnswer: -174887, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o**2. Let a(j) = -7*j**2 - 6. Let i(h) = 20*h**2 + 17. Let p(l) = 17*a(l) + 6*i(l). Give g(p(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9251*b*y**2 + 2*b*y - 2*b + 254*y**2 + 6274219*y wrt y?\nAnswer: 18502*b + 508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 336431140 to the power of 1\/2, to the nearest integer?\nAnswer: 18342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -783*x**3 - 4*x**2 - 4*x - 5. Let h be u(5). Round h to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -68*l - 114. Let s(t) = t**2. What is s(r(d))?\nAnswer: 4624*d**2 + 15504*d + 12996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27621652 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13041.027 rounded to the nearest 10?\nAnswer: -13040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**2 + 1584*k - 8919?\nAnswer: -2*k + 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((9 - (-3 + 8)) + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/7272 and -29\/51624.\nAnswer: 5214024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 773*g**3 - 106*g**2 - 429817*g wrt g.\nAnswer: 4638*g - 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2546325 (base 8) in base 13?\nAnswer: 1ba21c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371*l**3 + 371*l**3 + 358*l**3 - 1088*l**3.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 52?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 5*d - 2*h, 3*d = 3*h - 2*h + 39. Suppose 0 = -x - 2*x + d. What is the lowest common multiple of 10 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -393305132 divided by -4\nAnswer: 98326283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39.2 - -33. Let r = -10517164.800033 - -10517171. Let m = r + g. What is m rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. What is the nearest to -1 in w, -0.04, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 5*x**2 - 25*x + 49. Let a be t(8). Put -5, a, 4 in increasing order.\nAnswer: -5, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*v - 0*v - 951 + 713 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - f + 2481 = 0, 20*j + 3321 = 24*j - 3*f. What are the prime factors of j?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -70, -59, -44, -25, -2?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from occoctotccctotcct. What is prob of picking 1 o, 1 c, and 1 t?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z - 1 - 3)*(z + 0*z + 0*z).\nAnswer: -3*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 594933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -7*u + 7*j - 42, -j = -2*u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150993 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-1 + 3) - (-9 + -27 - -19)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 27*z - 21 + 34*z - 62*z. Let q be j(-21). Suppose q = -4*n + 2*m + 1006, -3*n + m = -778 + 25. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**6\/120 + g**5\/60 + g**4\/24 + 3*g**3\/2 + 2*g**2 + 10*g. Let o(x) be the first derivative of n(x). Calculate o(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 290*v + 10100. Calculate u(-35).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/(2664\/72))\/(1\/(-23))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, -8, -1 in increasing order.\nAnswer: -9, -8, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2520174 to the power of 1\/2, to the nearest integer?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106.8434 milliseconds in days?\nAnswer: 0.0000128106875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 - 1)*(-2*h - h + h) + 2*h + 0*h + 0*h)*(6*h**3 + 7 - h**3 - 6).\nAnswer: 50*h**4 + 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38.285 + 37.285. What is the fifth biggest value in -19, p, 2\/17, 1, -0.2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -1\/3*z**2 + 1\/3*z**3 - 1\/3*z + 0 + 1\/3*z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*g - 139 - 221 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -439 + 443. List the prime factors of 104956\/114 - x\/6.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/d*d**(-8)\/d)**3*(d*(d**3*d*d)\/d)\/((d*d**(2\/5))\/d)*(d\/(d*d\/(d*d**(1\/2))))**11 assuming d is positive.\nAnswer: d**(-19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 10:54 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 - -214. Let w = t + -29. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -415 - 3*u**4 + 4*u**4 - 2*u**3 + 149*u + 415 in the form q*u**2 + c + g*u + y*u**4 + p*u**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -155, 3, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.07, -153, -2, 0.5 in descending order.\nAnswer: 4, 0.5, -0.07, -2, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 3036708.379?\nAnswer: -3036713.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.2 - -3.2. Put 3, -0.5, f, 0.2 in descending order.\nAnswer: 3, 0.2, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4114 = 52*m + 5258 - 2600 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3327634363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-2)*(-14)\/(-28))\/(100\/(-280))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**2 - 2*m + 3*m**3 - 2*m - 168 - 110 - 429*m**5 - 60 - 70 wrt m?\nAnswer: -8580*m**3 + 18*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(0*m**2 + m**2 - 2*m**2 + (-10*m - 4*m - 19*m)*(-m - 2 + 2) + (m**2 + 3*m - 3*m)*(1 - 2 + 0)).\nAnswer: -31*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**5\/10 - o**4\/6 - 5*o**3\/6 + 5*o**2 - o - 11. Let g be p(2). Which is smaller: -19 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26735316, -26735315, -26735314, -26735313, -26735312, -26735311?\nAnswer: -26735310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(1\/((-36)\/(-30))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 3*l + 5, -4*l + 0 = 2*b + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-175)\/5)\/7)\/((-175)\/315)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 0 in decreasing order.\nAnswer: 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20744, 41477, 62212, 82949, 103688, 124429?\n\"Answer: s**2 + 20730*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 - -31. Suppose -5*x = 4*o - 130, -5*o + 142 = x - 5*x. What is the remainder when b is divided by o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1149918.\nAnswer: 2, 3, 7, 11, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 481 - 533 - ((0 - -3 - -1) + 4).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 18468 = -3*q - j, -4*q + 24624 = 4*j. Is 54 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u**4 - 2*u)*((2 - 2 + 2*u)*(3 + 0 - 1) - 3*u + u + 0*u).\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqrrq. Give prob of picking 1 r and 2 q.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -24*n**3 - n**2 + 4*n + 300. Let h(k) = 103*k**3 + 4*k**2 - 18*k - 1199. Let o(a) = -2*h(a) - 9*v(a). Find the first derivative of o(j) wrt j.\nAnswer: 30*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124995892409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19)\/(-7) + (-6)\/(-21). Suppose -12 = -0*p + b*p. Let c be ((-6)\/(-25))\/(p\/(-10)). Put c, 0.4, 2\/13 in descending order.\nAnswer: c, 0.4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/80 - (-7262)\/(-16). Let v = c + 444. Calculate the common denominator of v and -25\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 4*t**2 - 7*t + 6. Let k be v(4). Let y be (k\/(-11))\/(1\/2). Let i = 0.3 - 0.8. Put i, y, 2 in increasing order.\nAnswer: i, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81 (base 15) to base 11.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2477917 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9310965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -11. Let y = p - 8. Suppose 5*w - 56 = -u, 4*w + y*u - 10 = 26. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 10:10 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6023*d**2 + 6026*d**2 + 2*d + 2*d + 2*d - 6*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18\/77 - -296\/1925. Let a = 30010 - 30010. Put t, 0.4, a in descending order.\nAnswer: 0.4, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -54*h - 1616. Determine z(12).\nAnswer: -2264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j. Let o(f) = 176*f**2 - 47 + 24 + 23. Determine i(o(v)).\nAnswer: 352*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = -67 - 53. Let g(x) = 3*x**2 + x - 18. What is the units digit of g(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*p**3 - p**2 - 2*p**2 - 8*p**3 as m*p + x*p**3 + q + i*p**2 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**5\/15 - 5*s**4\/12 - s**3 + 8*s**2 - 6*s. Let z(i) be the first derivative of o(i). Factor z(w).\nAnswer: -2*(w + 1)*(2*w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/15132 and 35\/3.\nAnswer: 15132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286819638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 19*w**2 + 23*w - 62. Let k be a(5). Calculate the greatest common factor of k and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3566078044?\nAnswer: 2, 891519511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 811282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 10 = 4*i + 4*z, 0 = 4*i - z + 2. Let h = 2 - 3. Is i at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*o**4 + 4974*o**2 + 84*o**4 - 373*o**4 + 4512*o - 76*o**4 + 412*o**5 - 1440 - 496*o**5 + 207*o**3 = 0. Calculate o.\nAnswer: -4, -10\/7, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -69533412*f**2. Let a(b) = -b**2. Give d(a(c)).\nAnswer: -69533412*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 18*n**2 + n - 14. Let t be v(18). Sort t, 5, 3 in descending order.\nAnswer: 5, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 650 - 5?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and 13.761.\nAnswer: 12.3849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174, 244, 352, 492, 658, 844?\nAnswer: 1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Let l = -1640 + 1642. Which is the nearest to i? (a) -3 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -7. Let l(p) = 0*p - u + 0*p + p + 3. Let s be l(2). Solve 0 = 4*c + 17 + s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14876175 - -9487175. Round w to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/68*((-1)\/3)\/((-4)\/32)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4618.3217 - -4618. Let s = 21 - 21.32. Let q = s - i. Round q to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 187084 + -6?\nAnswer: 187079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 2)*15\/(-10). Suppose 3*m + 2*m = -4*r - 2, m - z*r = 11. Suppose -8 - 12 = -m*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w - 12*w - 14*w + 2*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c - 4*c)*(-4*c**3 - 2*c**2 + 2*c**2 + (5 - 4 + 0)*(2*c**3 + 3*c - 3*c) - 3*c**3 - c + c + (1 - 1 - 2*c**2)*(5*c - 2*c - c)).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.065 - 0.064. Let q = 0.022 - v. What is q rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -0.4 (b) -7000 (c) -0.3 (d) -2\/21 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**4\/12 - 3*g**3\/2 - 3*g**2 - 10*g. Calculate the remainder when y(10) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) + (-111)\/(-2). Suppose 2*x + u = -c + 5*c, 0 = 5*x. Calculate the least common multiple of 12 and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - u + 1. Let m be v(0). Calculate the remainder when 131 + 11 + (m - -4) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -239 + 631. Let d be ((-18)\/9)\/((-1)\/4 - 70\/(-600)). Suppose 107 = -d*z + o. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f**2 + 1 - 8 + 7.\nAnswer: 23*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 512320238 to the nearest integer?\nAnswer: 22634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - c + c + (4 - 4 + c + 4*c - 4*c - 2*c + (-2 - 2 + 5)*(-6*c + 2*c + 2*c) + 2*c - 5 + 5 + 0*c + 3*c - c - 5*c + 0*c + 3*c - 3*c - 2*c + c)*(1 - 1 - 2).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, -1\/7, -1, -0.88?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/15*(-1 - (-4 - -1)). Sort 2, n, 0.\nAnswer: 0, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.2, 2\/27, 1, -87 in ascending order.\nAnswer: -87, -0.4, -0.2, 2\/27, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -434721637 - 1?\nAnswer: -434721638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**3 - 37*j + 37*j + 5*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -294, -3\/4, 0.4, -4, -0.02, -6.\nAnswer: -294, -6, -4, -3\/4, -0.02, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 7:29 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/7 + 13295298*s**2\/7 - 1899328*s.\nAnswer: -2*s*(s - 6647648)*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y + 56. Let p be r(-18). Let x**p + 8*x - 9*x - 2*x - 9*x = 0. What is x?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 4483 + 667 = 0. Calculate the greatest common divisor of 53 and o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 6:03 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/89, -544\/35, -5?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/6 + (-2)\/3. Suppose -s*t + 3*y = 15, y + 4*y - 14 = 3*t. Let p(x) = -x**3 - x**2 - 3. Give p(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5849 - 1425. Is 24 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 476391608?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7590*k*v**2 + 4*k - v**2 - 170*v wrt v?\nAnswer: -15180*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 - 2*c**5 + c**2 + (-c + c - 2*c)*(4 - 3*c**4 - 4) + 11 - 11 - 5*c**5.\nAnswer: -c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 37*z**2 - 78*z + 1. Suppose 0 = 7185*w - 7200*w + 585. Determine d(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2 - 3. List the prime factors of (z + (-96)\/(-18))\/(2\/4938).\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 29 = 8. Solve -5*p + 11 = -t*y, 0 = 6*p - 2*p + y - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) -15.5 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -39 - 10\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (5 + 2 + -17 - (-25 - -3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*6\/(-15)*-2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 5)*(-2*a**2 + 3*a - 3*a) + (5*a - a - 2*a)*(-a + 3*a - 5*a) - 4*a**2 + 0*a**2 + 3*a**2.\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 324.69?\nAnswer: 324.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**4\/3 + 703940*y**3\/3 - 703936*y**2 + 2111804*y\/3 - 703934\/3 = 0?\nAnswer: 1, 351967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 703611 and 2313?\nAnswer: 180828027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 18 + 6. Suppose s + 4 = 3*u, 2*s - 7*u = -i*u + 7. Solve 4*k = 3*k - s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eap. Give prob of sequence pea.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14989956 and 12.\nAnswer: 14989956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 13 + 7 - 13 + x + 5 - 6*x. Let t(u) = -7*u. What is h(t(a))?\nAnswer: 35*a + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(sqrt(468) - (0 + sqrt(468))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, -4, 0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119005 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. What is the third derivative of o**i - o**2 - o**2 - o**5 wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5)\/((-20)\/125).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8961 is divided by 2970?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 76*y**2 + 1. Let m be c(0). Which is smaller: -2\/21365 or m?\nAnswer: -2\/21365","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**3 + 1 - 3*o**3 + 4*o**3 - 2*o + 7*o. What is the remainder when d(-3) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -23*u. Let y(m) = 252*m. What is -54*j(l) - 5*y(l)?\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, r: 4}. Give prob of sequence rrv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-30) + 51\/15. Suppose 5*o = -5*y + 4725, 3768 = q*y + 8*o - 7*o. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-3 + 1 - -7 - 0)*-7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 132, 276, 456, 660, 876, 1092?\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 29*x - 202 - 40*x + 7*x + 5*x. Let s(h) = 7*h. Give s(o(r)).\nAnswer: 7*r - 1414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530 + 85 = 5*i. Let r = 130 + i. What is the remainder when r is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f - 75 = -38*f. Let z(c) = c**2 + 4*c - 2. Let x be z(-8). What is the greatest common divisor of x and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -659 - 0.4?\nAnswer: -659.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18867 + 18866.83837. What is h rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20339735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*o**2)*(-o**2 - o**2 + o**2)*(o + o + o).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -478803*b**3 - 509182 wrt b.\nAnswer: -1436409*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k**2 - 81 - 2*k**2 - 97 + 178.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 953 + -964. Put p, -2, 8, -1 in decreasing order.\nAnswer: 8, -1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 280*f - 563. What is i(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 14*i**2 + 21*i - 284. Give d(6).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 745.5217711?\nAnswer: 744.5217711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 100015 (base 7) in base 11?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1545 + 1548. Let v(l) be the second derivative of 0 - 1\/6*l**a - 1\/3*l**2 + 1\/90*l**6 - l + 1\/36*l**4 + 1\/20*l**5. Factor v(b).\nAnswer: (b - 1)*(b + 1)**2*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 45\/(-24))\/(5\/(-105)). Let m = -47\/24 - y. Is m != 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**2\/10 - 2949*k\/10 - 163496\/5 = 0.\nAnswer: -107, 3056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -25 (c) 322\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2))\/(a\/(a**(-2\/27)*a)*a)*a\/a**(-2\/3)*a**4\/a assuming a is positive.\nAnswer: a**(70\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 17*d**6\/60 - 7*d**5\/15 - 53*d**4\/3 - d**3\/2 - 24*d**2 + 13. Find the second derivative of k(i) wrt i.\nAnswer: 204*i - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -717, 106, 13.\nAnswer: -717, 13, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 39 = 20*g. Suppose -4*z - 4*i = -1628, -2*z + 387 = -g*i - 407. What is the remainder when z is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -4, -2, 42\/13, -2\/11 in increasing order.\nAnswer: -37, -4, -2, -2\/11, 42\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = n - 6*n - 4, -4*n = -4*a - 8. Let r = n + 2. Let j(q) = -q**2 - 5*q - 7. Let c be j(-5). Sort 4, c, r.\nAnswer: c, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4783?\nAnswer: 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*w = -96*w - 336. Suppose -5 = g, 2*s - w = -12*g + 16*g. What is z in 1\/3*z**3 - 2\/3*z**s + 2\/3 - 1\/3*z = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + (-1 - -11))*-5. Let x = w + 122. What is the greatest common divisor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 30 + 14 + (-2 - (2 + 5))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.05, 0.1, -2\/1685, 9\/5, -4, 1\/2, -0.6?\nAnswer: -2\/1685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1869 + 332683\/178. Let j = 3147635579\/1602 - 1964816. Let m = q + j. Which is the closest to 2\/7? (a) 0.1 (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 = -4*k. Suppose b + u = -2*b - 231, -k*u - 6 = 0. Let q = 115 + b. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -17005226?\nAnswer: 17005212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -0.4. Let f = 13.6 + -0.2. Let o = f - 13.6. Which is the second smallest value? (a) o (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**2. Suppose 0 = -3*f + z - 0*z + 44, 0 = -2*f + 4*z + 16. Let j(v) = f*v**2 + 0*v**2 - 14*v**2 + 0*v**2. Give p(j(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.9 + -12.9. Let j = -17 - -16. Which is the second smallest value? (a) 0 (b) i (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -17*n + 30. Determine w(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = j - 2*o, -j - 4*o = -0*j - 92. Let h = -46 + j. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280122?\nAnswer: 2, 3, 46687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -280 or -10928\/9?\nAnswer: -10928\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 12*t**2 + 10*t.\nAnswer: 2*t*(t - 5)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3*p + 1236 + 20526, -108844 = -5*o + 2*p. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.102 (b) 967 (c) 3 (d) 2\/5 (e) -3\/4 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - k**2 - k + 1. Let m(i) = -i**3 - 6*i**2 + i + 4. Let h(y) = m(y) - 2*u(y). Let n be h(3). Is -35*(n - 2 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -29125, -116642, -262555, -466864?\n\"Answer: -29198*x**2 + 77*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 19*t**2 + 19*t - 21. Let w be f(18). Suppose 8 = -x - 5. Let n = w - x. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 75145.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4195, 34448, 116659, 276808, 540875, 934840, 1484683, 2216384?\n\"Answer: 4330*o**3 - o**2 - 54*o - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26.7 + -27. What is the closest to 0.1 in 1, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -5 - 10 - (-19 - (9 - 15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/21 + 0 + 88\/6. Sort 4, j, -8.\nAnswer: -8, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whchihhhiirihihihhh. Give prob of picking 1 i and 1 w.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 + 2. Let j = 0.2 - l. Let f = -64\/247 + 2\/13. Sort f, 3, j in ascending order.\nAnswer: j, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -164*f - 9*f + 36*f - 254*f - 171*f in the form j + t*f and give t.\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.301076 days in milliseconds?\nAnswer: 458012966.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-334)\/2*8\/28. Let f = 48 + d. Suppose 0 = -q - 3*q - 12. What is the third biggest value in 0, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*t + 2)*(692*t**2 - 215*t**2 - 338*t**2)*(3 + 1 - 1).\nAnswer: -834*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 103485 take away 492078?\nAnswer: -388593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 6431*s + 415753. Give a(66).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*h + 75. Suppose -324 = c + 9*c - 19*c. Calculate the greatest common divisor of c and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from hhhjdfjnnh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 1 + 1 + (3*y + 0*y - y)*(-6 + 4 + 3) + 0*y + 0*y + y)*(1 - 1 - 1).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13811137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8231.146 and -0.5?\nAnswer: 8230.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 18 = -72. Suppose 0 = 5*z + 490 - q. Let a = 60 - z. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.726 * 0.5.\nAnswer: -0.863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcnxaxn. Give prob of sequence cnx.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 39.6 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*m)*(2 - 12 + 1)*(-1 + 0 + 0).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 113 - 50 = 0. Find the third derivative of -97*g**2 - 2*g**5 - 15*g**4 - b*g**4 + 146*g**2 - 61*g**4 wrt g.\nAnswer: -120*g**2 - 2040*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**13*l*l*l*l*l\/l**(-9\/7)*l)\/((l\/l**5)\/(l\/l**(-3))))**(-8\/9))**(-22) assuming l is positive.\nAnswer: l**(3872\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 48*x**7\/35 + 5*x**4\/4 + 2*x**3\/3 - 150*x**2 + 1. What is the second derivative of w(p) wrt p?\nAnswer: 3456*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111949*c - 54530*c - 53846*c)*(-2 + 2 + 4*c**2).\nAnswer: 14292*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, x: 7}. What is prob of sequence yxxx?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.4, 3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/sqrt(5))\/sqrt(2) + sqrt(576) + (sqrt(576)*2 - sqrt(576) - sqrt(576)))\/(1*sqrt(32) - (-1*sqrt(22))\/sqrt(11)).\nAnswer: 13*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 3\/119508097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ddaaaaadddarscaad?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 6. Let h(w) = -w - 11. Let m(k) = 4*h(k) + 7*o(k). Suppose -2*a - 4*l = 16, l + 3 = -2. Give m(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325 = -2*m - 3*m. Let h = 7 + 19. What is the highest common factor of m and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 1 - 19 = 0. Let u(j) = j**3 + 11*j**2 + 2. Let i(d) = -d**3 - 12*d**2 - 2. Calculate t*i(a) - 3*u(a).\nAnswer: -a**3 - 9*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 480*v - 483*v - 1774, -3*v - 2*x = 1753. Is v greater than -594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/40 - (-33)\/60. Let v(t) be the second derivative of 1\/3*t**4 + 0 + 3*t + x*t**5 - 7\/6*t**3 - 5\/2*t**2. What is v(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*b + 16 - 8 - 8 to the form s + o*b and give o.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 281789960378 plus 0.1?\nAnswer: 281789960378.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 - q**3 + 4*q**3 + (-5*q**2 - 5*q + 5*q)*(-5*q + 2*q + 2*q) - 290 - 172*q**3 + 290.\nAnswer: -166*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2020110020 (base 3) to base 11\nAnswer: 30124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 - 128*r**2 - 222*r + 13872. What is m(64)?\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 7. Let r(q) = -2*q**3 + 2*q**2 - 2*q + 1. Let b(n) = n. Let t(z) = p*r(z) + 4*b(z). What is t(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103592571 to the power of 1\/3, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - c**2 - 1. Let j(q) = -2*q**3 - 5*q**2 - 2*q + 2. Let v(z) = j(z) - 3*k(z). Let u(x) = 4*x**3 - 7*x**2 - 7*x + 15. What is 2*u(w) - 7*v(w)?\nAnswer: w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19874 - -2961229\/149. Put u, -2\/5, 1\/4 in descending order.\nAnswer: 1\/4, u, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 16773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(200) + sqrt(200)*1 + sqrt(200) + sqrt(200))*5)**2 - sqrt(200)) + -2 + 0)*6 + -4)*2.\nAnswer: -120*sqrt(2) + 959968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-6))\/c*c*c)**(3\/14)*c**(10\/13)\/((c\/(c*c\/(c**(-22)*c))*c)\/c*c) assuming c is positive.\nAnswer: c**(4313\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.21340091 to the nearest integer.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - -2 - (-10 + 31). Let z = v - -25. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 8*x + 3. Let q(f) = f**3 + 3*f**2 - 11*f + 5. Let i be q(-5). Let g = -17 + i. Give d(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 12*u**2 + u - 6. Calculate x(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -402*b**2 - 664*b**3 + 156*b**2 + 632*b**3 to the form s*b**2 + r*b**3 + k*b + q and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3225 rounded to 2 decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -9, -3, -4, 2\/27, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2. Let c(t) = -2*t**2 + 16*t. What is c(l(i))?\nAnswer: -8*i**4 - 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 - 262801 + 525492 - 262706.\nAnswer: 3*q**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2)*(-3)\/(117\/(-6058)). Let a = i - 230. Solve -a*l + 3 = -6, -2*f + 14 = 4*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2727, -2722, -2721, -2730, -2755, -2802, -2877?\n\"Answer: -f**3 + 4*f**2 - 2730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, 26\/9, 6\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/2 + 374*t**2 - 37305*t\/2 - 59337.\nAnswer: -(t - 694)*(t - 57)*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53631 and 241722.\nAnswer: 1440421398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15 - -2) + -1 + 2. Let s be 4\/6 + (-12)\/d. Solve 0 = -s*y - 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n - 6 = 0. Suppose -n*m - 2*y = 2, -3 + 7 = -y. Sort -3, 4, m in descending order.\nAnswer: 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5451342 = -p + 3*k - 5451064, -3*p - k - 76 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 601387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15984 divided by 296?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 114*u + 542. Give q(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/55)\/(90\/(-15345)) + 3 + (-7)\/1?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.93 - -15. Let r = v + -0.37. Let z = -0.1 - r. Sort -4, z, -1\/2.\nAnswer: -4, -1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000247 rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251 = 135*y - 289 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 6*n. Let a be z(5). Let v = 1 + a. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 3*s**5\/10 + 3*s**4\/8 - 7. Factor x(y).\nAnswer: 3*y**3*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7677772 is divided by 132?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 2445.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g = -x + 1094, g = x - 1103. Suppose 2*u + 0*m - x = -m, -2192 = -4*u + 3*m. List the prime factors of u.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1505.1225 - -1498.5. What is t rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05031 - 0.54969. Let r = 8 + -5. Is r < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 6*z + 21. Let u = 56 - 64. Let t be o(u). Calculate the highest common factor of 45 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**6 + 39911*l**4*r + l**3*r - 69*l**2*r - l**2 + 5498*r wrt l?\nAnswer: -120*l**3 + 957864*l*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**3\/3 - 3*z**2\/2 + z - 5. Let p be b(4). Sort -3, 3, p in decreasing order.\nAnswer: p, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*k**3*q**2 + 15*k**3*w - 4*k**2*q**2 - 8*k**2*q - k*q**2*w + 992*k*w + 2 wrt w.\nAnswer: 15*k**3 - k*q**2 + 992*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129614 and 916?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 561 - 209. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*t*w**2 - t*w - 145*w**2 - 2*w wrt t.\nAnswer: -18*w**2 - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391793 - 4.5469?\nAnswer: 1391788.4531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7841*f**2 + 5*f - 5*f - 7723*f**2.\nAnswer: 118*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*k = 2*n - 508, 4*k = -3*n + 761. Suppose -3*t + n = 2*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 - 5 + 3 + 15*f**3 + 8*f**3.\nAnswer: 23*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2970 and 5940.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9179\/4 + 2310. Suppose 0 = 4*y - 5*u - 262, 2*y - 3*u = 5*y - 183. What is the common denominator of (-158)\/4*7\/y and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/2444 and -43\/13.\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 11. Suppose -4 = -x + 3*p + k, 2 = 2*x + 2*p. Let g(q) = q**3 - x*q**2 + q - 2 - 3*q + q. What is g(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.64297 * -0.0419\nAnswer: 0.068840443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 17*o. Let a(l) = -7*l - 4 - 1 - 1. Let q(n) = -n - 1. Let x(j) = -a(j) + 6*q(j). Give m(x(k)).\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -2 (b) 92 (c) 0.092 (d) 4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21728)\/(-256))\/(-97)*(-4)\/14.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 42864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/6975*28923\/(-933).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153*l*y + 22106*l + 4089*y - 362 with respect to l.\nAnswer: -153*y + 22106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -49*u - 925. Let b be w(-19). Let c(h) = -h**3 - 3*h**2 - 4. Let s be c(-3). Sort s, -1, -2, b in decreasing order.\nAnswer: b, -1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510200 rounded to the nearest ten thousand?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 35 and -0.02482.\nAnswer: 34.97518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -5\/6*m**4 + 0 + 1\/2*m**2 - 5\/3*m**3 + 1\/20*m**5 - 5*m. What is the units digit of g(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v**2 - 10*v - 65. Let n(u) = u**2 + 2*u + 13. Let s(d) = 5*n(d) + q(d). Let h(p) be the second derivative of p**3\/3 + p. Give s(h(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1110*v + 12*v**2 + 2329*v - 11*v**2.\nAnswer: v**2 + 1219*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -3*b - 5*q, -85 = -5*b + 5*q - 0*q. Calculate the greatest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8920 and 1623.\nAnswer: -7297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1440499\/500 + 2881. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/2*(-32)\/(-24). Let n(w) = -w + 5. Let d be n(l). Let r be 6\/(-8)*144\/d. What is the highest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 5 = j, -22*j = -21*j + 11*b + 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjr. What is prob of picking 3 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5*p = -15, 10*p + 4 = 3*x + 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 24 = -2*w + 2*q, w - 5*q - 30 = 0. Suppose a + 2*d = 6, -a = -2*a + d + w. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3004202 - -12?\nAnswer: -3004170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**1)\/o)**(-2\/47)*o**(-1\/4)*o\/o**(-2\/9)*o*(o**(-1\/4)*o\/((o**(3\/5)\/o)\/o)*o)**(-34) assuming o is positive.\nAnswer: o**(-890101\/8460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 6*j**3 - 7*j**2 - 2*j**3 + 2*j**3 - 7*j**3 + 1. Let l(b) = b**2 - 22*b - 30. Let r be l(23). Let n be y(r). Is 5 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 8*p + 11. Let x be n(2). Solve -x*g + 5*c + 24 = g, -11 = g + 3*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52 + 15006?\nAnswer: 14954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiui when four letters picked without replacement from {u: 13, i: 5}?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 2*h - 4. Calculate the lowest common multiple of 7 and 4*3 - h\/2.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261 - 261 + 84*d**2.\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9914384 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2579, 20575, 69423, 164549, 321379?\nAnswer: 555339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24326440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10037?\nAnswer: 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -12*g**4 + 5*g**3 + 5*g**2 + 730*g - 6025. Let h(m) = 6*m**4 - 2*m**3 - 2*m**2 - 365*m + 3014. Let r(o) = -5*h(o) - 2*q(o). Differentiate r(k) wrt k.\nAnswer: -24*k**3 + 365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 258 and 2494?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 9. Calculate x(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134 (base 16) to base 6.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - 16c612?\nAnswer: -16c602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4496 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1977425 is divided by 431.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-145 - -128) + (-376)\/(-22)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2390.999996084 - 2391. What is p rounded to seven dps?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**6\/120 + 9*n**5\/20 - 4*n**4\/3 - 20*n**3\/3 - 2620*n**2. Suppose 65 - 9 = -2*m. Let l be d(m). Is 72 != l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 637, 1275, 1911, 2545?\n\"Answer: -b**2 + 641*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0, -0.6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9539276917.7 and -0.15.\nAnswer: -9539276917.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5377, -10769, -16185, -21625, -27089?\nAnswer: -32577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {d: 2, g: 2, u: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/(-440)*(-1136)\/(-213).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.44 and -2.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 76 = -13*n + 195. Solve 52*r - 46*r + n = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*s**2 + 1785*s - 1785*s.\nAnswer: -200*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -2.93\nAnswer: 0.879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffhhfhhkkhhkffhk. Give prob of sequence ffkf.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 1560?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 2*h - 5, 4*l + 2*h + h = -4. Let z(w) be the second derivative of -3*w**4\/4 - w**3\/3 - w**2\/2 - 13*w - 45. Calculate z(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 499 + 350 + 7*a**2 - 1654 to p*a + z + u*a**2 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/3, 1, 15855103?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 11:39 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/13 in -1\/9, -0.09, -43, -58, 0.3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132573 and 575981?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101.\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 88, 168, 288, 460?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**2 - 41*r - 6. Let y be s(-10). Suppose -313 = -5*q - 2*p, y*q + 6*p = 2*p + 260. Is 24 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22671, -22729, -22799, -22881?\n\"Answer: -6*h**2 - 40*h - 22625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 6\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2225 + -15600\/7. Let u = -13\/4 - -147\/4. What is the common denominator of u and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073381?\nAnswer: 1073381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + 53. Let x = k - 67. What is the third smallest value in x, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 0)*(-4)\/4. Let o(v) = -v + 5. Let m be o(p). Solve 3*c - 3*q - 12 = -0*c, 2 = -m*q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*i + 41*i - 14*i)*(-83 + 83 + 7*i) + 1 - 1 - i**2 as j*i + r + p*i**2 and give p.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*b**2 + 1\/5*b**3 + 0 - 4\/5*b.\nAnswer: b*(b - 4)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203713*h - 2378086*h - 127338*h.\nAnswer: -2709137*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5 = 0, -61*h + 66*h + 25 = 5*k. Solve h = 31*g - 28*g - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/27 and -103\/774.\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 8, -45 in ascending order.\nAnswer: -45, 8, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(1\/129)\/(4\/11*5115\/2790)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4152404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -13619315.78 to the nearest 100.\nAnswer: -13619300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 330 = 1276. List the prime factors of h.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*j + 37 + 2, -5*w = 4*j - 62. Suppose -w = -k - 0*k. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000375506 to 5 dps.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134000 and 131320?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(847) - 2*sqrt(847)) - (((sqrt(77)*1)\/sqrt(11))**2 + (sqrt(77) - -2*sqrt(77))\/sqrt(11))) + -5.\nAnswer: -14*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k - 76*k**2 - 6*k + 4*k - 23*k**2 - 2*k**2 to b*k + g*k**2 + m and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13256 - 13261. Let z = -0.2 - -0.3. Let j = 53\/12 - 25\/6. What is the nearest to j in 0.2, z, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29.2 in 21, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3629, 3690, 3793, 3938, 4125, 4354, 4625?\n\"Answer: 21*g**2 - 2*g + 3610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89805147.\nAnswer: 3, 29935049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20929 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 348160?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/51, 16, 50, -2\/13 in decreasing order.\nAnswer: 50, 16, 0.2, -2\/51, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 - 14. Let l be (u\/20 - 4)*(-645)\/(-9). Let c = l - 236\/15. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3375 - -5041. Does 45 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (1 - 308\/20). Let g = 13 - v. Let q = -83 - -82.5. Which is the nearest to g? (a) -2\/5 (b) q (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**4 + m**2 - m**2)*(7 - 2 + 0).\nAnswer: -15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q = -4*q + 48. Let h be (-80)\/120*9\/q. Which is the second smallest value? (a) 2\/3 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 - 80. Solve 25*h - 16 = t*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 986.982 and -64.\nAnswer: 922.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*3\/(-36))\/(16\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 5:41 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.6 + -4.6. Let q = -2 + 3. What is the closest to 0.1 in q, 3, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.56 + -37.44. Let j = 39.01 + f. Let v = j - 0.01. Is v equal to 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/113 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than or equal to -64\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 16*v - 2*t = -4, 0 = 5*t + 20 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*o + 1018 - 1018 + 2*o - 2*o + 2*o + (1 + 2 - 1)*(-o - 3*o + 0*o) - 4*o + 2*o + 3*o + 2*o + o - 4*o + (o + 2 - 2)*(4 - 3 - 3) - 3*o + 2*o - o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -20.931?\nAnswer: 20.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 84\/3203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 3 (c) 7\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70651958 is divided by 2762.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7607, -7593, -7573, -7547, -7515, -7477?\n\"Answer: 3*z**2 + 5*z - 7615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/3 - 272*w**2\/3 + 5792*w\/3 + 9216 = 0.\nAnswer: -4, 32, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817175 is divided by 6987.\nAnswer: 6683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3480*c + 40 = -4*t + 3484*c, 8*c = 5*t + 62 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from vhvhvrhvvhrvvvh?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900153?\nAnswer: 3, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15503 at most 17069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17328 or 17331?\nAnswer: 17331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161 + -91. Let z be (-4)\/7 + 180\/s. Let h(q) = q**3 - 2*q**2 + q. Let n be h(z). Solve n*p + 4 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3891*t - 37 + 25 + 12)*(-6 - 4 + 7 - 1 + 4 - 2 + (-3 + 2 - 1)*(1 - 3 + 0) + 1 - 5 + 3 + 3 + 1 - 2).\nAnswer: 11673*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 2*k + 200 = -5*s + 8*k - 9*k, 3*k = 135 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - s - 2, -3*s + 22 = -27*i + 22*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6428249+0.03\nAnswer: -6428248.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*((-24)\/10 + 2). Let u be 0 + q + 0\/3. Let y(i) = -u*i + i - i. Let l(h) = 2*h. Determine y(l(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 80 = 29*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m = -18*m - 105. Let r = m - 24. What is the tens digit of (-2)\/r - (-6665)\/55?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735405486 a multiple of 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1568*l = 1571*l - 12, -4*r - 5*l = -32 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*u + 46*u - 40*u**2 - 17*u + 5*u**2.\nAnswer: -35*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -1\/2 (c) -161 (d) 0.061\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 0, -2*s + 5 = 25*i - 20*i - 15 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/336*45\/30?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 3. Let m be b(0). Let q = 10 - 5. Sort m, q, -5 in descending order.\nAnswer: q, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.109 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2204968567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 94\/45 and 117\/9010?\nAnswer: 81090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10459800 and 80?\nAnswer: 20919600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7689*0.7.\nAnswer: 5382.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 - 813 - 250 + g + 2 - 310.\nAnswer: g - 1239","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -315 and 12.1.\nAnswer: -3811.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*d + 3*d. Solve -2*x + 1 - d = 5*p, -5*x = 5*p - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*h = 7, -4527 = -d - h - 4533 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -180949.99 and 0.5.\nAnswer: -90474.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-18))\/(10\/(-24))*(-5)\/2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27156280?\nAnswer: 2, 5, 678907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -2*u**3\/3 + 34*u. Let h(r) = 12*r. What is m(h(d))?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 21 = 5*l - 6, -l - 8 = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, -2, 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 5*q - 3*q - 3, -2*q = 3*v - 23 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2357, 2575, 2807, 3059, 3337, 3647, 3995, 4387?\nAnswer: 4829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-1)\/(-3) - 1579791. Let h be 1077*543*(-16)\/72*-5. Let m = h + d. Round m to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - -0.53. Let j = -13.79 - -14.449. Let w = j - o. Round w to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (19\/14)\/((-18)\/108) and 1*-1 + 82\/(-18).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q + 3 = -c, -10 = 5*c - 5*q. Let u be 10388\/21 + c\/(-3). Suppose -u = -8*d + 3*d. What is the greatest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.49973 * -3.\nAnswer: -1.49919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-9\/8)*o*o*o**(-2\/27)*o\/(o\/(o\/(o**(21\/2)\/o*o)))*o*o**(-25)*o assuming o is positive.\nAnswer: o**(-6847\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00910831785 rounded to seven dps?\nAnswer: -0.0091083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.466355l to millilitres.\nAnswer: 466.355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4835717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 649*l**3 - 342*l**3 + 30*l**3 - 344*l**3 - 4*l**2 + l**2 + 3*l**2.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 - 72. Calculate the common denominator of 2 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.3, 7\/13841, 2\/7, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26186179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 254 + -166. Suppose 5*q = -2*z + f, -2*z = -0*z - 5*q - 108. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (102\/24)\/(2\/16). Let b be (-160)\/3*(-48)\/(-20). Let m be (134 + b)\/(((-4)\/22)\/(-1)). Which is smaller: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crpp when four letters picked without replacement from cpwrpprp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/((-144)\/(-233523)) - -5?\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -4*h - b, 2*h - h + 5*b - 10 = 0. Suppose 10 = u + h. What is the units digit of (-3)\/(-15) - 552\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4 - 304*s**3 + 11244*s**2 + 23408*s + 11858.\nAnswer: 2*(s - 77)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -58. Let j = l - 49.0000097. What is j rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-710)\/(-9))*(25376\/(-468))\/(-122)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6547876, 6547872, 6547866, 6547858?\n\"Answer: -l**2 - l + 6547878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28.6 * 0.1.\nAnswer: -2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*1)\/sqrt(9))\/((1*sqrt(24))\/sqrt(6)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144 - 472. Let o = r - -570. What is the lowest common multiple of o and 2?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 39*j + 376. Let s be r(0). Let v = s + -361. Suppose 0 = 7*q - 2*q - 10. Solve n + q*n = v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 39*d**2. Let w(p) = -4*p - 22*p - 27*p + 7*p - 22*p. Determine x(w(f)).\nAnswer: 180336*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/8 and 23\/434.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535*a - 211*a + 50*a = 122*a - 5040 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177183 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.487 + 0.487. Let t = 1.7 + -2.7. Which is the smallest value? (a) t (b) 0.4 (c) l (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-23)\/(-6) + 1\/6. Solve l + 2*l + 17 = m, 5*m + g*l + 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-13 + -10099 - 11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1191 = -209*k + 965 - 2700 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(17) + (sqrt(85) + (sqrt(85) - (sqrt(85) + -2*sqrt(85))))\/sqrt(5) + 1.\nAnswer: 3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 2*r + 10, 9*s - 11*s - 10 = -r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 6. Factor -10*r**t + 2*r**3 + r**2 + 0*r**2 + 11*r**4.\nAnswer: r**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/12 - (-242)\/12 - 3. Suppose -8*t - 36 = -i*t. Suppose -t*a + 7*n + 76 = 3*n, -3*n + 53 = 2*a. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4036 + 2199 - 649 + 2*r.\nAnswer: 2*r + 5586","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 36. Let j be 15\/w - (-3)\/12. Solve -3*d = 3*i - 18, -4*d = j*i + i - 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15262610?\nAnswer: 2, 5, 11, 89, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(17)*2)**2 + sqrt(17) + 3 + 1)*6.\nAnswer: 6*sqrt(17) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 2*l - 2. Let h be ((-8)\/(-6))\/(2\/3). Let r(m) be the first derivative of -m**4\/2 - 5*m**2\/2 - 5*m - 164. What is h*r(w) - 5*b(w)?\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -1)*40\/140. What is the nearest to -18 in -0.5, 2\/9, 0.1, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -135 - -69 - -23 - -44?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b**2 + 19*b + 23. Determine v(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43107 - 18827. Let z = 436897\/18 - b. Calculate the common denominator of -33\/4 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(378))\/(sqrt(294)*2))**2.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/6 + 5\/30. Suppose f - 32 = -x, a*f = -2*x - 2*x + 126. What are the prime factors of x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*g - 6142 = 0, -3*c + 4*g = -509 + 9708. Let v = c + 21347\/7. Is -10 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*b - 128, 3*k - 111 = -3*b - 27. Suppose k = 3*r - r. Suppose 0 = r*n - 19*n + 2836. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htuu when four letters picked without replacement from {e: 2, t: 8, u: 5, h: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 51. Let m be 3156\/a*120\/(-36). Is m\/10*-2*(-5)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 10. What is the remainder when 26 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, 2, -1 in increasing order.\nAnswer: -83, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/10 and 35\/263?\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3*w = 17, -42*k + 5*w + 2027 = 1955 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23713600*i**2*k**4 - 267*i**2*k**2 - 88935*i**2*k - i*k**4 - 3*k**2 wrt k?\nAnswer: -569126400*i**2*k - 24*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 18*j - 322. Let x(t) = 9*t - 160. Let d(o) = 6*r(o) - 13*x(o). Let n be d(16). Sort -1, n, 2\/5 in descending order.\nAnswer: n, 2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*u**2 + 311*u**2 - 170*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73224546 a multiple of 1579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - 7 + 9*f + 3*f**2 - 9*f.\nAnswer: 3*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*o + 21 = -97*o. Solve 2*n = -o*x - 17, -4*x + 3 + 5 = -5*n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2395 - 2233. Calculate the highest common divisor of j and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 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: Let o(y) = -y - 15. Let i(h) = -5*h**2. Determine o(i(r)).\nAnswer: 5*r**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -794*1\/(-8)*4. Let y = -294 + u. What are the prime factors of y?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86226046 to the power of 1\/3, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10934936?\nAnswer: 2, 23, 67, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3723 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-235)\/282)\/(1\/(-6)). Solve 11*r - j*r - 12 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by (3 + 1)*(-3 - (-44)\/8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -603*r**2 - 55646*r - 15641. Give w(-92).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l + 2. What is m(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02652251888 to five dps.\nAnswer: -0.02652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -6, 2, 3 in decreasing order.\nAnswer: 9, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1411040 divided by -8819.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/11118 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016182264 to 5 decimal places.\nAnswer: 0.01618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75006 is divided by 1923.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -37. Let p(z) = l + 0 + 2*z - 3. Let c(w) = -w + 1. Give -7*c(j) - 3*p(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-381*w**4 + 1415*w**4 + 1478*w**4)*(-3 + 3 + 2) in the form n + b*w**4 + u*w + d*w**2 + z*w**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-2\/55))\/h**(2\/5))**(-1\/42) assuming h is positive.\nAnswer: h**(-43\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -816a75 - -65?\nAnswer: -816a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 4) in base 2?\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.331 * 12.\nAnswer: 15.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from {u: 3, r: 6, w: 4, a: 1, m: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**5\/20 + 3*b**4\/4 + 7*b**3\/6 - 5*b**2\/2 - 2*b. Let r be p(-8). Let v = r - 2. Solve -6 + v = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*n - 300*z + 297*z, 0 = 7*n + 4*z + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -38*f + 179. Let g be a(-7). Suppose -m = -2*o - 94, 5*o + g = 10*m - 5*m. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let r be p\/(-1) - (-12)\/8. Let k(n) = -n**3 + 48*n**2 - 358*n + 271. Let i be k(39). Is i at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -1 - -4 - -2 - (24 - 11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209700 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.6 and 0.1089?\nAnswer: -0.17424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/19)\/i**(2\/41))\/(i**(-1))**(-32) assuming i is positive.\nAnswer: i**(-25048\/779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 5:19 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 3) in base 8?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 16*f**2 - 14*f + 36. Let m be g(17). Suppose 254*d + m = 257*d. Solve 0 = -5*z + 7 + 18, 3*p = -4*z + d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by -11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -13*n - 1. Let a(w) = -28*w - 1. Give 4*a(d) - 9*c(d).\nAnswer: 5*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -8 + -17 + 2 + 70 - (-18 + 28).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*g - 6 = 21, 4*g + 4 = -2*x. Suppose 6*h - h - x = -4*y, -4*h - 4*y = -4. Is h > -3\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 48?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6392\/(-204))\/(-4 + 22\/6). Which is bigger: 39 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 61. What is the tens digit of 1 - (16\/k)\/((-1)\/254)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(4\/5)\/p*p*p**(-1)*p assuming p is positive.\nAnswer: p**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.844166 years?\nAnswer: 0.005844166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35.38 and -3.82?\nAnswer: -135.1516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Let s = 0.189 - -128.811. Let y = s - 129.4. What is the smallest value in c, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 6:14 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -303*i**2 + 303*i**2 - 25*i**4 + (2*i**4 + i**4 - i**4)*(-4 + 4 - 3) to the form w + f*i**2 + h*i**3 + v*i**4 + d*i and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - -547?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -565014.983 rounded to the nearest 10000?\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 135\/60 + 1\/(-4). Suppose -y*s = s + 36. Let k be (-222)\/s - (-1)\/(-2). Calculate the highest common divisor of k and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3044 + 6468 = 1189*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + ((2 + -1 + sqrt(832))**2 - (-1 + sqrt(832)*2 + sqrt(832))**2).\nAnswer: -6651 + 64*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + (9 - 3) - -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**4 + 28*w**3\/3 - 104*w**2 + 176*w - 224\/3 = 0.\nAnswer: -7, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2531966, 10127866, 22787700, 40511468, 63299170, 91150806?\nAnswer: 124066376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 8*x + 24. Let h be f(11). Do h and 1\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1278*c - 79. Let u be o(21). Let d = 39924 - u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**5 + h**5 + 2*h**5)*(-1 - 4 + 6 + 1 + 0 + 1 + (1 - 4 + 1)*(-1 - 3 + 5) + 2 + 0 + 0 - 2 + 0 + 3).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**4\/24 - c**2. Let q(t) = -3*t. Give q(l(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.99 - 5. Let h = 13062.010001 - 13062. Let d = n + h. Round d to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -347 bigger than 127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 greater than or equal to 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 60. Solve 3*y + 0*y = g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0*(-8)\/(-96) - -2)*2\/10. Which is greater: m or 0.8335?\nAnswer: 0.8335","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2252777.4 seconds to hours.\nAnswer: 625.7715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*w - 3. Let m be (-5 - w)\/(1*1\/(-129)). Let z be (215\/m)\/((-2)\/(-6)*1). Solve -4*i - i = -z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.3 - 25. Let q = u - -0.7. Suppose 0 = -4*d + 2 - 10. Sort d, q, 4.\nAnswer: d, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1264 - 113. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 2:19 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4 = -3*g, 3*g + 4 = 3*s + 2*g. Suppose -2*c + s*w - 38 = 2*c, -28 = 4*c - 4*w. What are the prime factors of -1 - ((-1)\/(-4) - (-1551)\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -3, 311, -19, 0 in ascending order.\nAnswer: -19, -3, -1, 0, 4, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 1, b: 1}. What is prob of picking 1 j and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-20) - ((-8)\/(-2) - 187821\/12). What is the greatest common factor of 163 and t?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**3 - 15*t**2 - 2079*t + 8309. Determine c(4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 49) + (22 - 26)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24273645, -48547328, -72821011, -97094694, -121368377, -145642060?\n\"Answer: -24273683*i + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-819)*(-12)\/((-180)\/(-195)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28.01 + -28.51. What is the third biggest value in -118, b, -5?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**3 - 290*i**2 + 2448*i = 0.\nAnswer: -153, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -20. Do c and 8\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241941?\nAnswer: 3, 7, 41, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2. Let l(j) = -16*j + 12. What is y(l(q))?\nAnswer: -256*q**2 + 384*q - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2073\/13 + 159. Let h = 8.623 - 8.9. Let j = h + 4.277. Which is the third smallest value? (a) -3 (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -0.5, -2.84, -0.01, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b + 3*n - 25, 2*b = n + 5. Suppose b*s + 0*x - 148 = -x, 3*s - 111 = -x. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 55 - -46 - (22 + (-1 - 1)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) 7.4 (c) 2\/11 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6257\/4? (a) 1 (b) -3 (c) -2 (d) 5 (e) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}