diff --git "a/data/dm_maths/full_data_1/109_11255.jsonl" "b/data/dm_maths/full_data_1/109_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/109_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 0 = -5*p + 5*i + 65, 3*p = 4*p + 5*i - 7. Calculate the remainder when p is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3548 + -1987. Let k = q + -180. Suppose -g + 2*s = -k + 472, 3*s + 2721 = 3*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) + 6\/(-18). Let s be l\/(-5)*1\/(-3). Suppose -5*p = -x + 26, 2*x + 2*p - 4 - 48 = s. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - s = -4837. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -1065, -3698, -8831, -17298, -29933, -47570?\nAnswer: -71043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 940084531?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1872) + 0)*1 - (sqrt(1872) + (1 + sqrt(1872))*-1)) + (2*sqrt(1872) + sqrt(1872) + 4 + sqrt(1872) + sqrt(1872))*-2)*-1*2 + 2 + -3)**2.\nAnswer: 5616*sqrt(13) + 606697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (21 - (4 + 3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w + 4. Suppose -6 = 10*x - 8*x. Let q(t) = -13*t - 7. Calculate x*q(m) - 5*p(m).\nAnswer: 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*x - 257*x + 2*x in the form g*x + s and give g.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*105990.\nAnswer: -105990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 1, i: 1}. What is prob of picking 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -57, 0, 57, 114?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 2, y: 1, c: 1, h: 2}. What is prob of picking 1 c and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*k - 5*f, -4*f + 2 = 5*k - 28. Find the second derivative of 24*u**2 + 22*u**4 - 13*u + 7*u - 24*u**k - u**5 wrt u.\nAnswer: -20*u**3 + 264*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from jnnnppp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -633*x - 42 = -627*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 917 and 251426.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k + 3*s + 9 = 0, k - 5*s = 27. Find the third derivative of -3*q**3 - k*q**3 + 2*q**3 - 4*q**2 wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*l - 3*h + 14, -3*l = -3*h - 36. Differentiate 3 + 1 - 17*d + l*d with respect to d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -1\/15*s**3 + 0*s + 1\/150*s**5 - s**2 + 0*s**4 + 4. Let h(b) be the second derivative of j(b). Factor h(g).\nAnswer: 2*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -186.4 - -186. What is the fifth biggest value in 0.1, -0.1, g, -21, 3\/4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/380*-19*6*(-4)\/6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 430 and 1563970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4*i + 72 = 0, -13631*i + 13626*i + 18 = -h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 5508 (c) 91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 502 divide 249473920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -13. Is 40 a factor of b*(1006\/(-12) + 3\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*o + 3 - 41*o + 25*o as l + n*o and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5490037 + 732*f**2 - 5490037 + f to the form b*f**2 + d*f + j and give b.\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + o + 1. Let l(u) = 7*u**2 + 2*u + 8. Let h(v) = -8*v**2 - 2*v - 9. Let b(j) = -6*h(j) - 7*l(j). Give b(k) + 2*z(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -49 (b) -1\/3 (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-8)\/((-32)\/(-101836)). Suppose 8*x - u = -6*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/11, -0.3, -5, -0.5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375238?\nAnswer: 2, 373, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3020 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7553164?\nAnswer: 2, 73, 25867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8497745 is divided by 622?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 13*z + 31*t = 27*t - 10 - 0, -78*z = t + 156 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**2 + 11*t + 6. Let n(b) = 2*b**2 - b + 2. Let s(c) = 6*n(c) - 2*u(c). Factor s(j).\nAnswer: -2*j*(j + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/1039 + 1639\/155850. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*w. Suppose 0 = 2*f - 8 - w. Suppose 0 = f*o - 2*o. Solve o = 6*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 - (43 + -51 - -29) - (14 + -14)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 26. Let s = 19 + 11. Suppose l - 34 = -i - 2*i, 3*i - s = 3*l. What is the remainder when i is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m + 487. Determine j(28).\nAnswer: 599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/30 and -13\/1071.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/24*-8 - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576520 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 9*y**2 - 24*y + 15. Let m be g(11). Which is bigger: m or -52\/9?\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -7\/5, -1, 2\/23?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -59.3 * -0.4\nAnswer: 23.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2719.\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 65. Suppose -1 - 2 = 3*r. What is the nearest to -1 in -0.2, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 586*v + 204537 - 209811 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -479e15?\nAnswer: -479e11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-9))\/4)\/(141\/282)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2935204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18378169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2 - 68*o - 191. Calculate the remainder when i(-20) is divided by 1582.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*u**3 + 22*u + 34*u**4 - 36*u**4 - 24*u - 3*u**2 in the form t*u + o*u**4 + z*u**2 + w*u**3 + j and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 450, 310, 170, 30, -110?\n\"Answer: -140*l + 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 4 = 5*v - 7*v, -3*v = -5*u + 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21002 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -0.062 (c) 0.4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.023768 * 0.5.\nAnswer: 0.011884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*s = -35*s - 402. Let a = -49 + 53. Suppose -y + 5*y = 5*d - 110, 4*d - a*y = 92. What is the remainder when s is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 55, 182, 415, 790?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 130, 457, 1100, 2161, 3742?\nAnswer: 5945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 253856151?\nAnswer: 1015424604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - -2) + -4 + -14 + 2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**7\/7 - 1087*i**6\/2 + i**3\/3 - i**2\/2 - 699*i + 2531. What is the third derivative of a(z) wrt z?\nAnswer: -120*z**3 - 195660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 69\/6 - (21\/(-6) + 3). What is the units digit of 126\/j*8\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 + 90 = 109*z + 245 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6321*h + 151670. Calculate m(-24).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -374967, -1499809, -3374543, -5999169, -9373687, -13498097?\nAnswer: -18372399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**3 + 4*k**2 + k - 1. Determine o(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 4*x + 2. Let s be r(4). Find the common denominator of (-77)\/s*(-4)\/16 and -101\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-94*3\/9)\/(-8*4*3\/(-144))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) - (4 + sqrt(1539)))*6 - sqrt(1539) - (sqrt(1539) + -1 + 4))**2 + -2.\nAnswer: 972*sqrt(19) + 6883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47506, -380194, -1283234, -3041812, -5941114, -10266326, -16302634?\n\"Answer: -47531*z**3 + 10*z**2 - z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2110 (base 3) to base 10.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -506 * -0.09\nAnswer: 45.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77 - 0?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 990 = 4*p + 3*f, 5*f = -2*p + 406 + 82. What are the prime factors of p?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7*q + 30 = 0. Let f = 6 - q. List the prime factors of f*(-2)\/4 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -716678.69 to the nearest 1000.\nAnswer: -717000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -249 - -244. Let r = 5 - 7. Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10307 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktt when three letters picked without replacement from jkttvvujivuk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + -0.6. Let h = -752.08 + 772. Let x = h + 1.08. What is the closest to 0 in x, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92 + 29 + 34 + 29 - 1571*h)*(6*h**2 + 0*h**2 - 4*h**2).\nAnswer: -3142*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 22*p - 6. Let l be q(-12). Do l and 16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 35. Let r(y) = -y**3 + 8*y**2 + 9*y + 2. Let m be r(u). Suppose -22 = -3*t + 14. Solve m*i = -i - t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 40*c - 360. Calculate r(27).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 119970 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-10) - (-4)\/(-10). Suppose -4*q - p + 4 = 0, 2*q + 7 + 1 = s*p. Suppose -t + q*t = -25. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (((sqrt(4032) + sqrt(4032)*2 - sqrt(4032)) + sqrt(28) + 2*sqrt(3388))\/((sqrt(24) - sqrt(216))\/sqrt(6) + (sqrt(96)\/sqrt(2))\/sqrt(12)))**2).\nAnswer: -46395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 47 + 4)*(-6*m + 4*m - 3*m) + 0*m + m - 3*m to the form r + n*m and give n.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28111303*q**5 - 1123869*q**2 - 12*q wrt q.\nAnswer: -1686678180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 2*i + 0*i**5 + 0*i**6 + 0*i**4 - 11*i**2 + 0 - 31\/105*i**7 + 8*i**3. Find the first derivative of a(n) wrt n.\nAnswer: -248*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -1. Let z = 886369542 - 886369580.99999983. Let f = m - z. What is f rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 11 = 2*y, 3*l + 4*y = -2*l + 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 519831?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36 in 1, -0.3, -0.4, -4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -212*b**2 + 19*b - 45*b + 38*b - 151*b**2 as w + f*b**2 + z*b and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 20*b**2 - 2215*b + 410. Determine d(38).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 514117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -61, 13, -2\/21, -0.2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57.49 + 57.47. Which is the third smallest value? (a) l (b) -0.2 (c) -3\/8 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*d. Let a be (d - (0 - 3))*1. Solve a*u + 2*u = -20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**5 + 4*r**5 + 0*r**5 + (2*r - 4*r**2 - 2*r)*(-4*r**3 + 3*r**3 + 2*r**3) - 2*r**5 - 3*r**5 + 6*r**5.\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 + 90*o + 6. Let w be s(-16). What is the highest common factor of w and 4930?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*i - 3*a + 2, 0 = 2*i + 5*a. Let r be (-3 - 0)\/1*-3. Calculate the common denominator of i and (-2)\/1 - (-34)\/r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32877687 to the nearest one hundred thousand.\nAnswer: 32900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -9.8. What is the second biggest value in 4, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.7 + 11. What is the second biggest value in 3\/2, c, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7986216 a multiple of 594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -49718641 and -49718621 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 134618866 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + 1167?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 46. Let u be l(32). Is (-20860)\/(-24) - (-3)\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -10778*y + 1. Let b(r) = 21509*r - 1. Determine 3*b(u) + 5*q(u).\nAnswer: 10637*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 2*p - 6*p)*(1 - 3 + 1264*p - 1239*p) to the form m + a*p**2 + q*p and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1571\/7 + -225. What is the third biggest value in -2, f, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/3 + 4045042*q\/3 + 32360464\/3 = 0. What is q?\nAnswer: -8, 2022529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**4\/30 - 7*t**3\/15 - 8*t**2\/5 - 14*t. Factor a(b).\nAnswer: 2*(b - 8)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110111 - 100?\nAnswer: 10000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -531, -1057, -1581, -2103, -2623?\nAnswer: -3141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p**2 + 27*p**2 - 13*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**4 + 1064*o**3 + 8844*o**2 - 20864*o + 10960 = 0. Calculate o.\nAnswer: -10, 1, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 11. Let v = r - 18. Let d = v + 15. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43110?\nAnswer: 2, 3, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 28*k - 3 + 3 - 30*k. Let m(t) be the third derivative of t**5\/120 - 7*t**3\/6 + 5*t**2. Let r(v) be the first derivative of m(v). Determine r(f(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276301485.\nAnswer: 3, 5, 47, 130639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 415 and 913.\nAnswer: 4565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 25 = 2*x. Let i(k) = 2*k + 24. Let c be i(x). Is c\/(-10) + 567\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5 - 7 + 6*j**2 + 2. Let g(k) = 2*k**2. Determine o(g(i)).\nAnswer: 24*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213904 = 24*k - 342512. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 198\/13 (b) 1 (c) 3 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -63*n + 1915. Give w(27).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**3 - 24*s**2 - 48*s + 195. What is k(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -79 + -5?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 27*a**2 - 17*a. Let u be s(-3). Suppose -3674 = -4*d - u. Does 28 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i. Let o be 18 + (1 + i)*-3. Solve o = -0*g - 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.474416 kilometers to millimeters.\nAnswer: 3474416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + 5 - 3848 - 1. Round o to the nearest 100.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.6 (b) -0.2 (c) -5 (d) -0.4 (e) 0.11872\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.9304*-0.3.\nAnswer: -1.17912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10\/3)\/g**(-3)*g**1\/(g*g\/g**(-4\/5)))**(-2\/25) assuming g is positive.\nAnswer: g**(64\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369 + 754 - 2*w - 361.\nAnswer: -2*w + 762","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 + -96. Let f(c) = 1 + c**2 - 12*c**b + 7*c**2 + 7*c + 2*c**2. Let k be f(3). Solve -z - 5 = k*w - 2*z, 5*z = w + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40137*4*(-1)\/(-6). Let i = 38078 - z. What is i rounded to the nearest 100?\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 3*b**2 - 3*b + 4. Let d be p(-4). Let w(g) be the second derivative of g**4\/12 + 2*g**2 - g. Give w(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 57\/(-399) + (174\/(-7) - -2). Which is smaller: v or -15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7456775033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42442.\nAnswer: 2, 21221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w\/(w*w**(-29)*w))\/w))\/w**(4\/5)*w*w**(6\/11)*w*w**(3\/5) assuming w is positive.\nAnswer: w**(-1356\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54225419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -743226*f**2 + 292432*f?\nAnswer: -1486452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-1)\/2*-7*2120\/(-3180).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3616? (a) 3\/2 (b) 0.5 (c) -4 (d) 10 (e) -0.2 (f) -13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27254)\/(-22) - 36\/(-198). Suppose -11*p - m = -18*p. Calculate the remainder when p is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 83 (b) -9.48 (c) -1\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -236 times 349.356\nAnswer: -82448.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 275, 413, 561, 725, 911, 1125, 1373?\n\"Answer: v**3 - v**2 + 134*v + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7 + -3)*5\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.00115, 3, 13?\nAnswer: 0.00115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o**3 + 15*o**2 - 68*o + 39. Calculate x(3).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 13) in base 9?\nAnswer: -265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 + 1 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q - 1206 = -2*f, -q = f - 605. What are the prime factors of f?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -717404121 + 387341242. Let h = -330062724.999923 - g. Let y = -154 + h. What is y rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*j**2 - 12*j**2 - 34*j**2)*(-4 + j + 4) - 20*j**3 - 75*j**3 - 175*j**3 to the form y + n*j + d*j**3 + k*j**2 and give d.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 155 and 255316.\nAnswer: 1276580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63\/986 or 0?\nAnswer: 63\/986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - w + 70. Let u(o) = 9 - 2*o - 1 - 3 - 3. Let g be u(1). What is the tens digit of c(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19707 is divided by 101.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 117205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 51754*w + 207019. Give l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.2 - -110.2. Let v = i - 94.9999941. What is v rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-54)*-3*36\/24\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3407 - 3582 = -10*z - 19*z. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 12672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-675)\/600)\/((-14)\/56)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 74 = -2*m, -57*y = -3*m - 58*y - 31 + 74 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*o + 132 = 0. 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: Expand r**5 + 0*r**5 + r**5 + (r - r + r**4)*(724*r - 423*r - 433*r).\nAnswer: -130*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 6841, -3\/11, -3\/2 in descending order.\nAnswer: 6841, -2\/15, -3\/11, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 6*i + 1. Let k be y(5). Let t(h) = -6*h**2 + 0*h**2 + k + 2*h**2 - 10*h. Let x(d) = d**2 + 3*d - 2. Calculate 2*t(c) + 7*x(c).\nAnswer: -c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -632 + 636. Let o(x) be the second derivative of 1\/3*x**n - 3*x + 0 - 1\/2*x**3 + 0*x**2. Find the second derivative of o(r) wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35895)\/(-30) + -3*(-3)\/6. Suppose 0 = -3*k - 9, 1850 = 4*y - 4*k - j. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r + 9 = -43 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12448722?\nAnswer: 2, 3, 11, 13, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25166 + 25167. What is the nearest to 2 in -0.3, z, -337?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 185 = -5*h, -3*t = -7*t + 4*h + 180. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:07 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0 - 1\/30*v**5 - 21*v**2 + 1\/12*v**4 + 2\/3*v**3 + 0*v. Factor p(k).\nAnswer: -2*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 49 = -0*u. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d111 (base 15) to base 5.\nAnswer: 2402431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, -3, 1, -4, 5.\nAnswer: -4, -3, 1, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 147\/30 + (-25)\/(-250)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-128)\/(-30))\/((-28)\/10) and -101\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -67*i - 3761. What is u(-56)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 519 - 514. Solve -2*n + 12 = -9*h + o*h, 3*n = -h + 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4653*t - 306 = 4670*t + 357 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 16) to base 14\nAnswer: 16c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213 - -211.71. Let k = u + 1.3. Let z = k - 0. Is z less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -2*g + 8, 0 = -25*g + 30*g + 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 321163215 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007470013 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, 92, 223, 356?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 10881?\nAnswer: -1\/10881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 + 302321033330?\nAnswer: 302321033213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 s, and 1 m when three letters picked without replacement from {x: 1, j: 1, m: 1, b: 1, u: 1, s: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217997176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvjjjjvhhvvhjh. Give prob of sequence hjjv.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -181, -308, -469, -664, -893?\nAnswer: -1156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k + 364. What is the greatest common divisor of k and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(3\/8))**(-31\/4))**12 assuming u is positive.\nAnswer: u**(-1023\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 934822 to the power of 1\/2, to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 3*b + 1. What is j(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 1 - (113 - 104 - 23).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnb when four letters picked without replacement from knbkknkn?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/((-1)\/74). Suppose -p + t = 2*c - 3*c, 0 = -3*p + c + 121. Suppose -p = 4*l - 102. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17\/30 - -1\/15. Which is the nearest to -47\/3? (a) 2 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -11, 2, -3, 11, 5 in decreasing order.\nAnswer: 11, 10, 5, 2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x - 22 + 70. Solve -9 = 3*v - 3*k, v - 2*v = x*k + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36*(-11)\/(-44) - (-135 - -4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9444512*z + 31190669 wrt z?\nAnswer: -9444512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -75. Factor 0 + 8\/3*i**3 + 0*i + 70\/3*i**5 + 0*i**2 + q*i**4.\nAnswer: 2*i**3*(5*i + 2)*(7*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 + 9365*h\/2 - 93625\/4.\nAnswer: -(h - 18725)*(h - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yttyttyt. What is prob of picking 4 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 0.2578, 7, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from jlcjtchl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 12 = 8*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2376 * 7.78.\nAnswer: 1.848528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -755 + 747.91. Let v = -0.09 - f. Let h = v - 4. Which is smaller: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 6:01 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**2 - 4*y**3 + 25*y**2 + 6*y**3)*(456*y - 16 + 4 - 457*y).\nAnswer: -2*y**4 - 42*y**3 - 216*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 a factor of 635323323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*o + 3*r, -o + 5*r = -3*o - 7. Let n = -30 - -33. Sort n, 1, o in ascending order.\nAnswer: o, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -12 - 12 + 38 + w - 7 - 10. Let x(k) = -3*k + 7. Suppose s - 3*r + 2 = 3, 2*r = 5*s + 21. Let u(q) = s*v(q) - 2*x(q). What is u(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(-28) + (-41)\/(-4). Let r be 18\/27*(d - 1). Does 8 divide 9\/r*(6 - -32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9\/4, 2\/5, -2\/21, 1556, -4 in increasing order.\nAnswer: -4, -1, -2\/21, 2\/5, 9\/4, 1556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 (base 10) in base 15?\nAnswer: 31c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -18*v**2 + 9*v + 50. Let l(q) = 53*q**2 - 29*q - 151. Let b(d) = 6*l(d) + 17*x(d). Let u be b(-3). What is the highest common divisor of u and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 227605845?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(5\/((-20)\/8)) - -5. Find the second derivative of 74*f**4 + 82*f**4 - 156*f**4 + 120*f - 53*f**q wrt f.\nAnswer: -1060*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 714034886?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) -6\/11 (c) 3\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 344538269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5432 and 12.\nAnswer: 16296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/4 - -4)*0. Let i = -26 - -22. What is the closest to m in -0.18, 4\/7, i?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7243 + 36217\/5. Which is the closest to 0? (a) 1\/5 (b) n (c) -0.0748\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4*r - 2133 = -2069, -2*t = 5*r - 94 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 137\/3. Let w = -9503 + 9483. What is the fourth biggest value in y, w, 0.1, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j - 20*j = -34*j - 210. Which is the nearest to -0.1? (a) -0.1 (b) 0.7 (c) 30\/7 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-80)\/(-50) - 6\/10. Does 8 divide (x - -26) + (-3)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u + 73*u - 484 = 0. Solve u*y + 78 = -2*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-7))\/(9270\/1236*(-2)\/42).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100 - -190. Suppose -v*d - 480 = -93*d. Let q be (1\/2)\/(1\/32). Calculate the greatest common factor of q and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000000101 + -11100?\nAnswer: -101000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 986 and 307?\nAnswer: 302702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 1098016*j + 1098023*j - 7 + 13.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**7\/84 - z**5\/20 + z**3\/12 + 2*z. Find m, given that r(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/13 - 1022126*c\/13 + 122683920\/13.\nAnswer: -2*(c - 120)*(c + 511183)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times 985\nAnswer: -886.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 17. Let w(b) be the third derivative of -5*b**z + 9*b**2 - b**4 - 2*b**2 + 8*b**2. Let o(l) = 2*l. Give w(o(v)).\nAnswer: -48*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3290\/3, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4)*p\/(p*p**(-5)*p))\/(p**(1\/9)\/(p*p*p\/(p\/(p**(-4)\/p)))))**(2\/21) assuming p is positive.\nAnswer: p**(-8\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/585 and -121\/1480?\nAnswer: 173160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(4\/(-3) + 1). Let t = 2 + 10. Suppose -4*w + t + 20 = 0. Solve h*d = w*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111285\/67 - -1661. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57450965 by -13.\nAnswer: -4419305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22293\/19 - -245717\/209. Let -16\/11*r**2 + 2\/11*r**3 + z*r - 12\/11 = 0. What is r?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 12:44 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0267 from 25299275844.\nAnswer: 25299275844.0267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*f**2 + 95*f**3 + 6865 - 6858 + 209*f + 50*f**2 + 365*f wrt f?\nAnswer: 570*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 35 = 3*u + u, 0 = -n - 1. Find the first derivative of -4*p**3 - 11*p**3 + u*p**3 + 2 wrt p.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*l + 86*l = 152*l - 399 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*o + 1794 = 17*o + 18*o + 12486 for o.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*a*n*o - 8*n*o + n + 1 with respect to a.\nAnswer: -35*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)*m*m*m*m)**(-47)*((m\/m**(-12)*m*m*m)\/m)\/m*m*(m*m**(-12\/11))\/m assuming m is positive.\nAnswer: m**(-364\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-25)*b**10)\/(b**(2\/5)*(b*b*b**1)\/b) assuming b is positive.\nAnswer: b**(-87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/5 + 9*w**3\/5 - w**2\/5 - 9*w\/5 = 0. What is w?\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760097141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 6. Let p(a) = -a - 3. Let l be p(-5). Let y(r) = -l*r**2 + 0*r**2 + g*r**2. Let o(i) = 3*i**2. Determine o(y(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7869204.\nAnswer: 2, 3, 7, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1110 divided by -6\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -2*m. Suppose -m*u = 2*u + 30. Let o be (-2 + 0)\/(u\/33). What is the highest common factor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31803696?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 0*u**2 + 0*u**2 + (0*u**2 - u**2 - u**2)*(3 - 3 + 1) + 1 - 2*u**2 - 1 + 2*u**2 + 40 - 40.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**3 - 5*s**2 - 3*s + 4. Let a(w) = 7*w**3 - 11*w**2 - 5*w + 8. Let p(q) = 2*a(q) - 5*x(q). Let y be p(4). Put -0.1, y, -2 in decreasing order.\nAnswer: y, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-496 - -493)\/(6\/22).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308474.7 litres in millilitres?\nAnswer: 308474700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101\/22577 or 1?\nAnswer: 101\/22577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5264295.\nAnswer: 3, 5, 71, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2956)\/(-2640) - 74\/2035. Let r = -17 + 17. Is y equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(2*k + 942 - 942 + 203*k**2)*(0 + 2 - 3)*(0 + 6 - 4).\nAnswer: -406*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.119562 take away 2599.387732?\nAnswer: -2599.507294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*114\/(-15))\/((-222)\/(-27380)*-37).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.9240056 to 2 dps.\nAnswer: 4.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 10*y**3 + 4*y - 123*y**3 - 3*y + 114*y**3. Let i(j) = 7*j**3 + 2*j**2 + j + 1. Determine -i(p) + x(p).\nAnswer: -6*p**3 - p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfkcpcpkpcfkzfc. Give prob of picking 1 f, 1 c, and 1 p.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*z + 8 = 64*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {m: 3, h: 6, d: 8}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1929.\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -596.2 + 606.218. Let c = r - 10. What is c rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 11*y**3 + 3*y**2 + 16*y + 14. Let c be j(5). Suppose 25*x - 21*x = c. Is 43 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-18) - 2\/(-6). Suppose 3*o + 15 = 2*j, 3*o + k + 20 = 4*j. Solve -j*z + 6 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*0.01\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1\/3 (c) 73604\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 2:25 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73.3 + -293.7. Let x = y + 367.05. Which is the nearest to 2? (a) 4\/9 (b) x (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693465155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17\/4, 131, -1\/4 in increasing order.\nAnswer: -17\/4, -1\/4, 3, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1764 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c**3 - 4*c**2 - 5*c + 2. Let v(l) = -l**3 + l**2 - 2*l. Let o(b) = -u(b) + 5*v(b). Let g be (-2 - 1)*(-2 + 5). Does 6 divide o(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**2 + 7*q. Let t(u) = -487416*u. What is i(t(k))?\nAnswer: 712723071168*k**2 - 3411912*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 634 + -377. List the prime factors of c.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 + 2*t**2 + 113 - t**2 - 2 to the form l + d*t + k*t**2 and give l.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -86010 to the nearest one thousand.\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 493770712 to the power of 1\/2, to the nearest integer?\nAnswer: 22221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1245904\/576 - 5\/180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26548*i**3 - 24656*i**2 wrt i.\nAnswer: 159288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 182818 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 364841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127444059?\nAnswer: 3, 1049, 13499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 11*y**2 - 27*y - 11. Let v be p(-13). Let c be 4\/16*(-4 + (4 - 0)). Solve 5*r + 2*b - 30 = 0, v*r + c*b = -b + 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 659*h - 610*h - 490 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {p: 2, v: 4, j: 1, e: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579841 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -176*s - 2108. Determine a(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((5 + -11)\/8310) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + l**3 - 4*l**3 + 5*l**3 - l**3 + 96*l**2 - 41*l**2 to the form c + o*l**2 + r*l**3 + y*l and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3639b7 + -2d?\nAnswer: 363988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 2. Let v be b(-4). Suppose 0 = v*h - 5*h. List the prime factors of (-5 + h)*(5 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 - -122. Let k(r) = -2*r + 8*r - 28 - i*r. Let l be k(30). Solve -l = -3*m + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 39 = -2*b + 37, -3*v = b - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8790 + -8789. Let t(q) = 2*q**3 + 3*q**2 + q + 2. Let a be t(-2). Put a, 4, v in descending order.\nAnswer: 4, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*s + 24. Let a be (-2)\/78*s\/(-3). Let r = 891\/2 - 445. Which is greater: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 113, 3 in descending order.\nAnswer: 113, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 3*t. Let b(g) = -g**2 + g. Let w(i) = -2*i - 19. Let v be w(-10). Let f(j) = v*n(j) - 3*b(j). Let f(z) = 0. What is z?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 8\/3, -0.03, 1\/7, 8, 2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 11 = 4*h + 3*s, 5 = 5*h - 2*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 426858299 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7180*z**2 + 2*z - 22110?\nAnswer: 14360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 - 2*z**5 + 5*z**5 - z**2 - 4*z**5 + (-15*z**2 - 7*z**2 + 2*z**2)*(-1 + 4*z**3 + 1) - 2*z**5 - 2*z**4 + 2*z**4.\nAnswer: -83*z**5 + 2*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + l - 4*l)*(6*l**4 + 114*l - 114*l)*(-37 - 4 - 8).\nAnswer: -588*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*sqrt(162))**2 + (sqrt(2) - (sqrt(2) + 0)*4)).\nAnswer: -1296 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7367 - 15654*p - 7367.\nAnswer: -15654*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 f when three letters picked without replacement from zfzycyytylzltlytzl.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 + 10*p + 7. Give h(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62694146?\nAnswer: 2, 47, 666959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 259, 0, 3, -1, -3, -389 in increasing order.\nAnswer: -389, -3, -1, 0, 3, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 7:25 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-1)\/(-42)*4*657\/146).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33530 divided by -3353\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 0*h + 17 + 8*h**2 + 4\/3*h**3. Suppose w(x) = 0. What is x?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5597408 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -262 + 267. Suppose x*p = 13300 + 34765. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-280) + (3220\/(-140) - 7167\/(-315))?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425 and 425.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (-176)\/20 - -12. Put -12, p, 0.5, 2\/11 in increasing order.\nAnswer: -12, p, 2\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlll when four letters picked without replacement from jjjplllll?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 253, 327, 367, 373?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -14. Suppose 3*d - u*s = s + 65, -2*d + 3*s + 42 = 0. Solve -4*j = d + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fm when two letters picked without replacement from ffomjomfmoommjmfjfwj?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 - 4.95. Which is the closest to 8\/3? (a) q (b) 0 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323 (base 6) in base 4?\nAnswer: 11103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**3 - 3*w**2 + 5*w - 5. Let u(m) = -m**3 + m**2 - m + 1. Suppose -5*z + 2 = -13. Let x be -9*(-2 + z)\/3. Calculate x*u(f) - h(f).\nAnswer: -f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 + 64. Let h = -1 - -1. Let s be (-15)\/126*(108\/(-15))\/9. Which is the second biggest value? (a) h (b) 1\/6 (c) s (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7519.7 - -7520. What is the nearest to 0.32 in -2\/5, o, 21?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-341892)\/(-54) - (-8)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12232\/(-1112)*(-2)\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -100 in increasing order.\nAnswer: -100, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17639808188 - -1154.\nAnswer: 17639809342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 903 is divided by 226.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-1)\/(288\/1260 + 6\/(-14)). Let n = 105.9 - 116. Let g = -11 - n. Which is the nearest to g? (a) 2\/7 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.04 - -0.04. Let k be (40\/4)\/(-4 + 6). Sort k, 1\/3, p, -0.5.\nAnswer: p, -0.5, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f + 48. Let b be y(24). Suppose -h - 3*i - 2*i = -b, -i = 0. What is the remainder when h is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*v = -17, -4*v + 3 - 11 = -s. Suppose 3*z + z - 28 = 2*g, -s*z = 2*g + 44. Let j = 21 - g. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -3042682.\nAnswer: 3\/1521341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvbvvvvvvvvv. What is prob of picking 3 v and 1 b?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p - 5*p = -18*p - 28080. List the prime factors of p.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -28 + 40 + -53.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 6. Let k be m(4). Suppose -s + 4 = k. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*h + 69*h + 5704 = 194*h + 73*h for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2568264 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 9:39 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -33*j + 67*j - 9 - 36*j + 1. Let y be 3 + (-4)\/(8\/18). What is the smallest common multiple of 20 and l(y)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*x = i - 25, -5*x - 25 = 4*i. Suppose -2*b = -i*b. Suppose 2*s + 2*s = b. Solve s = 4*o - 0*o + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3\/4 - 9*k**2\/4 + 6*k - 5 = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j - 4. Let v(b) = -4*b - 3. Let x(w) = 3*a(w) - 4*v(w). Let l(m) be the first derivative of 2*m**2 - 695. Give x(l(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**3 + 3 - 8 + 3 + 4*a**2 + 2*a - 5*a**3. Let t = 9 - 5. What is the units digit of s(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2624 divided by -4?\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 9 = -c. Let s(g) = -g**2 - 1. Let m(n) = -7*n**2 + 2*n - 8. Let w(p) = c*m(p) + 24*s(p). Factor w(d).\nAnswer: -3*d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 - 105. Solve -l - a + 0 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22095992?\nAnswer: 2, 2761999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27447 + -905824\/33. Let v = -8 - -4. Find the common denominator of 4026\/(-1008) - v\/14 and j.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 12:31 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6 - (-50)\/(-48)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.6 + -23. Let a = 17.4 + h. Let j = -17 + a. What is the third biggest value in 4, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/82399 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 333, 1012, 1971, 3216, 4753, 6588?\n\"Answer: q**3 + 134*q**2 + 270*q - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asasvvaasadakvsssdsa. Give prob of picking 2 a and 1 d.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**3 + 788*n**2 + 7417*n - 151. Give z(206).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.24389 litres in millilitres?\nAnswer: 9243.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*y + 338*y - 120*y + (-2 - 2 + 3)*(2 - 2*y - 2) - 6*y + y + 4*y to the form j*y + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 10 - 18*q - 6*q + 3 - 23*q + 32*q.\nAnswer: -15*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111*545\/1052613*12\/(-10).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, 12, -579\/4, 9, 1\/3, -1, 4\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42262374 by 33.\nAnswer: 1280678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 + 6089*o\/3 + 24308.\nAnswer: (o + 12)*(o + 6077)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130903, -1047433, -3535157, -8379673, -16366579, -28281473, -44909953?\nAnswer: -67037617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from hyffyhhyy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1429 - -183. Is w a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10654 (base 7) to base 6\nAnswer: 20354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -21. Suppose -n - s = -2*a + 2*n, -2*n = -2*a + 16. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 120.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 165104824 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*g - 57*g + 11 = -h, 2*g + 4*h = -32. Put -1, 1, g, -144 in descending order.\nAnswer: 1, -1, g, -144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1321 - 1003 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 + 5*m - 4. Let x be ((-12)\/(-8))\/(6\/(-16)). Let k be o(x). What are the prime factors of 3\/12 - (-62)\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -36\/1919723?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -171488*j**3 - 80816*j**2.\nAnswer: -1028928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4223, 4391, 4671, 5063, 5567?\n\"Answer: 56*u**2 + 4167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5245233476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -12. Let g be (-1 + 2)\/(2\/(-60)). Let l = u - g. What is the remainder when l is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 7. Suppose c - 4 - 7 = -2*y, 3*y - 2*c = -1. Suppose d - z*d = -y. Solve -2 = -n - d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 56*a - 5. Let h(m) = 54*m - 4. Let d(c) = -5*h(c) + 4*t(c). Let j(u) = u. What is d(j(s))?\nAnswer: -46*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 5*n**2 + 6*n + 5. Let c be r(-9). Suppose -g + 6*g = c. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36307724 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 4.584.\nAnswer: -18.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*h + 329*h + 586*h - 149*h - 4*h**2 - 2*h**2 to the form l*h**2 + r + t*h and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1291 and 389119019.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -421125 divided by 140375\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -a07f (base 16) to base 3\nAnswer: -2002100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211010020012212 - 2?\nAnswer: 1211010020012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12323410 - -2?\nAnswer: 12323412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 13*b**2 + 13*b + 16. Let d(g) = -6*g - 67. Let r be d(-13). Suppose 2 = 2*z, -r*z = f - 15*z + 16. Give o(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 9. Let d be 3\/(9\/15) + f. Suppose r - d*w + 21 = 3*r, 0 = -4*r - 2*w + 18. Are 4 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/483 and -59\/14?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -l - 12. Let n = l - -23. Let v(x) = -n*x + 29*x - 11*x - 11*x. Let i(a) = -3*a. Give i(v(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -7. Suppose -2*j - x*y = 0, j - y = 3*y. Let q(a) = 4*a**2 - a - 7. Let g(k) = -3*k**2 + k + 6. Let p(t) = 3*g(t) + 2*q(t). Determine p(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597180.\nAnswer: 2, 5, 13, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225203?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/6043554 and -5\/155178.\nAnswer: 223611498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/73, 0.01, -1\/84, -2 in decreasing order.\nAnswer: 20\/73, 0.01, -1\/84, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x*(x**(-23)\/x)\/x*x)\/(x*x\/(x*x**(-35)*x)*x) assuming x is positive.\nAnswer: x**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6964 divided by 4.\nAnswer: -1741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from {h: 2, u: 4, g: 10}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-7.8\nAnswer: 2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 686676 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -325.\nAnswer: -162.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23761246 divided by 283?\nAnswer: -83962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 1, 189 in decreasing order.\nAnswer: 189, 37, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/16*2\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + 35 + -38 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -4. What is the common denominator of (-37)\/(14\/28 - 5\/(-2)) and -2 - ((-86)\/21 - i)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u + 5*u + 3*u + (-5*u + 4*u - 2*u)*(-2 + 1 + 3) + 3*u - 1 - 1 + u to v*u + b and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 11 = -4*l, -5*r - 49*l + 5 = -54*l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 9*b**2 - b - 6. Let o be i(-9). Suppose o*d = 2*d + 8. Suppose -3*a + d*a - 10 = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3449, -2531, -1627, -743, 115?\n\"Answer: -b**3 - b**2 + 928*b - 4375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Suppose 0 = b - n*b + 3*i + 11, 5*b - 5*i - 45 = 0. Suppose 2*d - b = 4. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426786666?\nAnswer: 2, 3, 17, 23, 109, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21805708, 43611413, 65417116, 87222817?\n\"Answer: -t**2 + 21805708*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/647836 and -1\/733579.\nAnswer: 49883372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 5*x + 7 + 10, 2*x + 10 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 570979?\nAnswer: 285489.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3043 + -30342120?\nAnswer: -30400213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.108346799 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1142 = 2*s, -647 = -3*s + 2*m + 1031. Calculate the highest common factor of s and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4008605886.19862 - -4008665222. Let a = c - 59325.4. Let g = a - 10.4. Round g to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or -31?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.4 - -29. Put 3, k, 1\/4, -0.2 in descending order.\nAnswer: 3, 1\/4, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -826*x**2 + 58*x - 109*x + 51*x to q + l*x + t*x**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.160577079 rounded to 5 decimal places?\nAnswer: -0.16058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006608874 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 9)*(-3)\/9. Sort 5, x, -1.\nAnswer: x, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/10)\/((-4)\/40*6). What is the closest to 0.1 in -4\/7, -0.1, -2\/43, m?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/180 and -65\/28.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, 12, -2\/187?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 4*c + c + 3*b, 26 = -4*c - 5*b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 - 2*i + 2*i + (2*i**2 + 4*i**2 - 4*i**2)*(-2*i + i + 0*i) - i**3 - i**3 + 3*i**3 + 135*i - 133*i - 7*i**3 + 15*i**3.\nAnswer: 6*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 15*a. Let q(c) = -2*c**2 - 14. Calculate d(q(n)).\nAnswer: -30*n**2 - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9605 * -4.\nAnswer: -38420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 5. Let n = c + -1. Solve 14 = 2*j - 2*a, -5*a - 24 = -n*j - 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1404887 to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -51579 plus -13380777?\nAnswer: -13432356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*t - 4*f, 4*t - f - 9 = 0. Let v = t - -4. Solve 2*p = -2*k + v*p - 15, 3*p = -k + 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2942, -5940, -8938?\n\"Answer: -2998*n + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, -0.04, 0?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43586.664 - 43383. Let t = 203.814019 - o. Let z = -0.15 + t. What is z rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptqpt. What is prob of sequence pqt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*a - 350, 13 = -a - 5*y - 117. Let n be (-32)\/(-3)*a\/(-5). Is n\/10 + (-8)\/(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115.5 + -120.5. What is the nearest to 0 in -4, i, 634, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, l: 2, y: 1, v: 2}. What is prob of sequence yc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 4*w + 3. Let d be i(-1). Solve 3*s - 4*u + 0 + 8 = d, 0 = -s + 5*u + 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -4*m + 8. Let z be (2 - 4)*(m - 2). Let u be 2\/6 + z\/6. Solve -5*r + r - u = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjbpfffphjj. Give prob of picking 2 f and 1 j.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 10*w**2 - 7*w - 14. Let b be t(-10). What is the greatest common divisor of b and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010164 to 4 decimal places.\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6aa + -2?\nAnswer: -6ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**2 + 100*p + 500 = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 1. Let j(u) = -5*u**3 - 6*u**2 - 14. Let q(z) = j(z) + 6*t(z). Differentiate q(v) wrt v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(192\/(-644))*200\/560*10\/(-25).\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8460 + 3742. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6383165.448 and -320?\nAnswer: 6382845.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/1112? (a) 1\/3 (b) -10\/11 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116862273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -87*x. Let j = 217 + -223. Let f(g) = -7*g**2 - 3*g. Let o(u) = -30*u**2 - 13*u. Let n(m) = j*o(m) + 26*f(m). Give k(n(i)).\nAnswer: 174*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdoz when four letters picked without replacement from {o: 2, r: 1, d: 1, z: 1, h: 1, t: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, b: 1, x: 1, d: 4, s: 7, z: 3}. What is prob of picking 1 d, 2 z, and 1 x?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 - 236 - 9*g**3 + 236.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbbbvfvvbfbvl. Give prob of sequence ffbl.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -x + 4. Suppose -5*v = -m - v + 649, 0 = -4*v - x. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n + 1. Suppose -5*b + b + 8 = 0. What is z(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-80))\/(40\/50)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/6)\/(u**(5\/4)\/u))**32\/(u**(2\/21)\/(u*(u\/(u\/(u**(-5\/2)*u)))\/u)*(u**(-1))**(2\/11)) assuming u is positive.\nAnswer: u**(-2271\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -529.79 rounded to the nearest 10?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 142978579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -797495.82 to the nearest ten thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 84.8 and -79.663062112.\nAnswer: 5.136937888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -35*g**2 - 7. Let s(m) = 12*m**2 + 2. Let p(j) = 2*k(j) + 7*s(j). Let z(q) = -q. What is p(z(v))?\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 489380239*z + 489380244*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3703 - -3815. Calculate the greatest common divisor of h and 3304.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -4. Let a be (-2 + 2)\/(-2 - u). Solve -w + 0*f = 3*f + 14, w + 2*f + 9 = a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912389883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z - 35*z + 98*z - 31*z - 1 in the form a + n*z and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971888.\nAnswer: 2, 19, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3484, -6969, -10454, -13939?\n\"Answer: -3485*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*j**3 - 1 + 1.\nAnswer: -143*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -2 - (0\/(-12))\/(-5). Solve -1 = -u - h*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -212 + 201. What is the common denominator of 37\/824 and (c\/(-55))\/(60\/1975)?\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 6*r - 5*c + 27, 0 = -2*r - c + 1. Let n be (-21)\/(-12)*r*-10. Suppose -h = -u - 3*h + 10, n = 3*u + h. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 11. Let l(t) = -t**3 - 5*t**2 + 8*t + 6. Give l(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -46. Suppose 2*k - 4*v = -2, -3*v + 4 = 5*k - z. Solve 0 = -3*d - 9, 3*d + 5 - 21 = -k*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/9)\/h*h**(-1\/12)*(h*h*h**5)\/(((h**(-2\/5)\/h)\/h*h)\/h) assuming h is positive.\nAnswer: h**(1517\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 2.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43796 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 77394, 77413, 77444, 77487, 77542?\n\"Answer: 6*o**2 + o + 77387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -427.79, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4078, -6477, -10480, -16093, -23322, -32173?\n\"Answer: -j**3 - 796*j**2 - 4*j - 3277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-2 - 0) - (-19 + 13)) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dhhdhd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, 2, 0.05 in descending order.\nAnswer: 2, 0.2, 0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244237 is divided by 688?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 673*f**2 + 5*f - 614?\nAnswer: 1346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1276 = -0*i. Suppose -v = 2*m - 161, -4*m + 3*v - 2*v = -i. Calculate the highest common factor of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-39)\/(-10)*-10?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tytutyw. Give prob of sequence twy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 (base 4) in base 7?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**4 + 32*b**2 - 64 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 209 (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 26 = 8. Which is smaller: 15 or q?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 19. Let l(v) be the first derivative of 0*v**3 - 4\/15*v**5 + 0*v**2 + b - 1\/6*v**4 + 0*v - 1\/9*v**6. What is t in l(t) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6400700 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86\/(-43)*(-8)\/320.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 14233451?\nAnswer: -14233451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8908129*b**3 - 111884491*b**2 wrt b?\nAnswer: -53448774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(432) - ((sqrt(432) - (sqrt(432) + sqrt(432)*-2 + sqrt(432))) + sqrt(432) - sqrt(432))))\/(sqrt(42)\/((sqrt(35)*-2)\/sqrt(5))) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**5\/20 - 2*n**4\/3 + 5*n**3\/6 + 5*n**2 + 20*n. Let y = 0 - 9. Is f(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 2*k - 6. Let u be w(-4). Let l = 118 - 74. Let t = l - 26. Calculate the greatest common factor of t and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277856158 to the power of 1\/2, to the nearest integer?\nAnswer: 16669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/3, 20\/3, -5, -1.8, -4?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2766 + -2874. Put -0.5, -2, i in descending order.\nAnswer: -0.5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s**4\/s)*s)\/s*s**(5\/4)*s**(4\/7)\/s**(-5\/11) assuming s is positive.\nAnswer: s**(701\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/3)\/(6\/(-666)). Let l(d) = -d**3 + 9*d**2 + 5*d + 14. Let z be l(9). Let g = z - t. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y. Let g(s) = 5*s - 2*s - 5 + s. Let d(t) = g(t) - 3*o(t). Let u = -7 - -7. Give d(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/3 + 7 + 0. Suppose 3*s + 13 = r*k - 7, 0 = -3*s - 2*k - 13. Let x = -3 - s. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-7)\/f)\/f)\/f*f)**(-6\/23) assuming f is positive.\nAnswer: f**(54\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 7 - 291*q**2 + 0 - 8 to o*q + f + u*q**2 and give u.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5256762.\nAnswer: 2, 3, 7, 47, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86316 and 606.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 9 = 6*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 28284?\nAnswer: 56568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.51 and 0.1457.\nAnswer: -0.802807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 71293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - d**2 - 2*d + 1. Let p(g) = -340*g**3 - 2*g**2 - 8*g - 1. Let r(o) = 4*l(o) - p(o). Find the third derivative of r(i) wrt i.\nAnswer: 2064","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-80))\/(((-8)\/30)\/(-2))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (292\/(-20) + 8)\/(3\/(-15)). What is the highest common divisor of 275 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4272935 - 117?\nAnswer: -4273052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express c - c - 2*c + (-1 + 3 - 5)*(c - 3*c + c) + 4 - 6 + 4 - 2*c as o + m*c and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 2. Suppose g - 2*n - 4 = -3*g, -r*g + 3*n = -4. Suppose 3*m + 4 = 4*m + 2*q, q - 2 = -g*m. Solve 2*l - 2 + 6 = m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t**3 + 2*t**3 + 0*t**3)*(0 - 3 + 1) + 0*t**3 + 3*t**3 - 2*t**3 to r*t + l + h*t**2 + j*t**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806855?\nAnswer: 5, 7, 23053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*a = 13, 2*a + 2 = -3*v + 29. Let y = v - -9. Let c(t) = t**3 - 6*t + 8. Let d be c(2). What is the highest common divisor of d and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 2)*(3*n + 4*n - 4*n) + 35*n - 11*n + 18*n + (-1 + 2 + 1)*(3*n + 0*n - 2*n) + n + 4*n - 4*n - 3*n + 3*n + 2*n in the form r + q*n and give q.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 275 = 727. Is -168 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*j = 229*j + 2640. Let x = 462 + j. Let k = 8 - -56. What is the remainder when k is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (17 + 3 + -8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 230816362 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - m = -0*m - 14, 0 = 4*t - 5*m. Let a(l) = -l + 1. Let y be a(-1). Suppose t*f + y = 3*f. Is f less than or equal to -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.1, -2\/9 in increasing order.\nAnswer: -2\/9, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 976221007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/11 - -1\/33. Let q = 0.08 + 1.02. Let m = q + -1. Are c and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -32, -12, 5, -2\/23, -8?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**4\/2 - 4*a**3\/3 - 3*a**2\/2 - 2*a - 2. Let x be h(-2). Let f = 942 - 926. Solve -2*z + 0*d = d - 5, x*d + f = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/11))**(-22\/5)\/(r*r\/((r**(-3\/2)*r)\/r)*r**(1\/16)) assuming r is positive.\nAnswer: r**(-349\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-s**4 + 2*s**4 - 3*s**4) - 18*s**4 - 7*s**4 + 6*s**4 - 2*s**3 - 7*s**4 + 2*s**3.\nAnswer: -28*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 193 - 198. Which is the second biggest value? (a) 30 (b) z (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45387.7242 plus -16?\nAnswer: -45403.7242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -29. What is the greatest common divisor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = -24. Sort 4, b, 5, -4.\nAnswer: -4, 4, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 624 and 442416.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1380\/(-805)*28\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*i**3 + 126*i**3 + 150*i**3 - 7 - 571*i**3 + 148*i**3.\nAnswer: -i**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -105507, -105779, -106237, -106881?\n\"Answer: -93*l**2 + 7*l - 105421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = 2*o - 2, -17 = -o - 5*t. List the prime factors of 3 - (8\/(-2) - o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + g - 19 = 0, -18 = t - 4*t + 3*g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1283549 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(9\/2)*j*j)**36*j**(-1\/14)\/((j*j\/(j\/((j*j**23)\/j)))\/j) assuming j is positive.\nAnswer: j**(2953\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -418109?\nAnswer: -418112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -41473*r + 2*r**4 + 41473*r - 977*r**3 + (r**3 + 2*r**3 - 5*r**3)*(-r - 2*r + 0*r) in the form d*r**2 + w*r + f + t*r**4 + n*r**3 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 962?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/22)\/((-3021)\/(-77539)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juu. Give prob of sequence jju.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 83, 853, 2945, 7019, 13735, 23753?\n\"Answer: 110*c**3 + c**2 - 3*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 257408221 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - 5. Let t = i + 21. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzll when four letters picked without replacement from llfffzfzffzfz.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -31 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202101102 (base 3) to base 14.\nAnswer: -55b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -277, -3033, -10621, -25453, -49941, -86497?\n\"Answer: -402*y**3 - 4*y**2 + 70*y + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 18*f**2 + 28*f + 18*f**2 + 7924 - 7928 in the form v*f**2 + t*f + r*f**3 + c and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 2114 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = l - 1. What is the third derivative of 4*b**2 - l*b**2 + 8*b**5 - 2*b**3 + 2*b**3 wrt b?\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14456 by 1.\nAnswer: -14456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 11884 = 796. Let p = s - 17544. Round p to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 7:48 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from zuozzummuzuzzhhuu?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212417937?\nAnswer: 3, 593, 13267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 4:43 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 13*i**2. Let t(h) = -5*h**2 + 74*h - 3. Let w(m) = -3*m**2 + 49*m - 2. Let f(u) = -2*t(u) + 3*w(u). What is p(f(v))?\nAnswer: 13*v**4 - 26*v**3 + 13*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 22.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 1728 = -2*d. Round d to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2\/5 - 9305084*h\/5 + 223323168\/5 = 0.\nAnswer: -4652566, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 + 101. Let f = -13 - -18. What is the biggest value in f, -2, w, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -221, -0.5 in decreasing order.\nAnswer: -0.2, -0.5, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -462277 divided by -1.\nAnswer: 462277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*z - 797*z - 257*z.\nAnswer: -892*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00791195083 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 6:40 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 3*q - 3 = 7, -2*r - q = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 97. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000011111000110 - 10010?\nAnswer: 10000011110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 4*y - 13. Let r be h(6). Let p = r + -27. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 5*c - 57 = 0, -73*l - 4*c = 15*l - 455 + 67 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from hsafm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 - 6*k**3 + 4*k**2 + 13*k**3.\nAnswer: k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 184.9 - 184.9. Suppose 3*i - 8*i = 4*j + 24, 18 = -3*j - 2*i. Which is the closest to n? (a) j (b) 1\/6 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 36154.55 nanograms?\nAnswer: 0.00003615455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 106*m - 107*m - 19, p + 14 = 9*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 12. Let i = -2.94 - -3. Let l = -2.06 + i. Which is the closest to -0.1? (a) 4 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.9375114 to 1 decimal place.\nAnswer: -75.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, u: 2}. Give prob of sequence uudd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**6\/180 + 23*i**3\/6 + 17*i. Let h(s) be the second derivative of m(s). Let o(y) = -4*y**2 - 1. Give h(o(n)).\nAnswer: 32*n**4 + 16*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)*v\/v**(-1\/9)*(v\/(v**3\/v)*v)**9 assuming v is positive.\nAnswer: v**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 368560250 to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(448) + (sqrt(448) - (2*sqrt(448) + sqrt(448))))**2 - sqrt(448)) + 4 + -1*(sqrt(448)*1 + 1).\nAnswer: 16*sqrt(7) + 455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven eighths of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*s - 5187 = -77*s. Calculate the greatest common factor of s and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 51\/9 + -5 + 0. What is the closest to -1 in f, 1\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = -2*g, 4*k = -g + 3 - 4. What is the units digit of (39 - (k + -3)) + -2 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -37. Suppose 0*i + a + 1\/4*i**3 + 0*i**2 + 1\/4*i**5 - 1\/2*i**4 = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24444 and 9506.\nAnswer: 171108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42759.\nAnswer: 3, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-35))\/((-1)\/(-5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15423 is divided by 1521.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 30409920.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 93*t**2 - 27*t - 12. Let w(f) = -15*f**2 + 1. Let s(v) = q(v) + 7*w(v). What is s(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46570 - 41?\nAnswer: 46527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 61*r - 96*r = -45*r + 140 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 9*o + 9 = -3*i, -4*i = 3*o + 9. Which is the nearest to i? (a) 0.34 (b) 3\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1643223437.\nAnswer: 10457, 157141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7025, 8681, 10335, 11987?\nAnswer: 13637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/19? (a) -4 (b) 0.7 (c) 351 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 627.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, -41, -405, -1113, -2279, -4017, -6441, -9665?\nAnswer: -13803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/(-135)*(-25)\/(-30)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(64\/(-12)) + (-35522)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0, 23, -133, -21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(90) + (3*sqrt(100) - sqrt(100) - sqrt(100))\/sqrt(10))\/((-2*sqrt(1400) + sqrt(1400) + sqrt(1400) + sqrt(14))\/(sqrt(63)*2)) + -4.\nAnswer: -102*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 6*(0 + 1*sqrt(1100) + 5 + sqrt(1100) + -3*(sqrt(1100) + 0)*4))*2 + -3)**2.\nAnswer: -132000*sqrt(11) + 15843025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**(2\/5)*q*q)))\/q*q**(2\/3) assuming q is positive.\nAnswer: q**(46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 342.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 4. Determine u(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -0.02, 0.05, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c - 12. Let k be o(3). Let v = -5 + 8. Solve 3*i - 18 = 5*z, 2*i = v*z - i + k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*t**3 + 146*t**3 - 123 - 300*t**3.\nAnswer: -t**3 - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -42) + -6 + -5 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - 18*(-25133)\/16236\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*h + 2545 = 3*h, -2*p + 1018 = 4*h. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-36))\/((-10)\/40)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 7*z**2 - 9*z + 4. Suppose 5*j = -v + 8 + 25, 3*v - 44 = -4*j. Let w be g(v). Let r = -6 - w. Are -2 and r unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2997*m + 4 + 3005*m - 11746*m - 4 + 3008*m + 2733*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 337 - 92. Find the second derivative of -245 + 8*g + 14*g**3 + h wrt g.\nAnswer: 84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 12*d**2. Let y(f) = f**2. Give y(l(b)).\nAnswer: 144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -3 (b) 2\/7 (c) -649\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by -8?\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1751*x + 2123*x - 623*x + 145*x**2 - 95*x**2 + 168*x**2 wrt x?\nAnswer: 436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-6)*(-24)\/(-8))\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9641399 + 1735434773\/180. Let j = -701672\/9 - -77870. Let d = k - j. What is the common denominator of d and 53\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) - (sqrt(99) + 2 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 927 and 410661?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3135004 + -70?\nAnswer: -3135074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p = -10*p - 806. Let z(y) = y**2 + 4*y - 5. Let x be z(-5). Solve -n - l - 5 - 3 = 0, 2*n + 5*l + p = x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:59 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, x: 4, t: 7}. Give prob of sequence oo.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*t + 2)*(t**2 + 3*t + 3483 - 7*t - 3456) in the form g + a*t**3 + r*t + s*t**2 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(297)*4 - sqrt(33))\/sqrt(11) - (-3 + sqrt(3) + -1)*1)**2*1.\nAnswer: -1264 - 320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*j = 61*j + 6. Solve 0 = l - j - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971784355 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2051.7915 months?\nAnswer: 170.982625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 21046\nAnswer: 15\/21046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, c: 2, n: 3, x: 2}. Give prob of sequence jxj.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 9 + (15 + -11 - (18 - -2))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by 1164\nAnswer: -29\/1164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(sqrt(1700) + 1 + 5) - 5*(-5 + 1*(sqrt(1700) - (sqrt(1700) + sqrt(1700)*-2))))**2.\nAnswer: -6160*sqrt(17) + 85236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 4\/11 (b) 2 (c) -39 (d) -1 (e) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -71.7 (b) 402 (c) 0.023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22*b**2 + 39020*b + 15147352 wrt b?\nAnswer: -44*b + 39020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, w: 7, j: 2}. Give prob of picking 2 w.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 9 = -4*j + 5*n, 2*j + 2*n - 6 = 0. Let v = j + 11. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2301\/5 + 461. Suppose -2\/5*r - v*r**3 + 1\/5*r**4 + 0 + r**2 = 0. What is r?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 8 + (-2 + 4 + 0)*(-1 + 4 + 0))*(3*h + 0*h + 2*h)*(4 + 18 + 17) in the form g + p*h and give p.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-18) - 8185\/(-30). Let x be 2\/(-1)*1\/q. Let f = x + 184\/273. Which is the smallest value? (a) -2\/9 (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000762588 to five decimal places.\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239459720.\nAnswer: 2, 5, 937, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*l - 296 - 125, 5*l + 660 = 3*h. Suppose 0 = -35*n + 38*n + o - h, 3*o = 4*n - 291. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17c1 - 1762?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1077350 and 986?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(78\/(-27)*(-1)\/2).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2027700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {q: 5, g: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3561\/10060 - 2\/503. Find the common denominator of -37\/6 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -220021?\nAnswer: 220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(69\/2)*-63*162\/(-1701).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 13*y**3 - 3*y**2 + 18*y + 8. Let s(z) = -16*z**3 + 2*z**2 - 21*z - 10. Let q(p) = -4*s(p) - 5*x(p). Factor q(u).\nAnswer: -u*(u - 6)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*w - 11 - 6 - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 497 and 14555?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - f - 1. Let h(p) = 2*p**3 + 3*p + 3. Let v be 0 - 22 - (-3)\/(-1). Let r = v + 28. Determine r*n(x) + h(x).\nAnswer: 2*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1db + 5?\nAnswer: 1e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -11*z**3 + z**2 + 4*z + 5. Is y(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11628, -5, 5, -3, 1, 29, 7 in decreasing order.\nAnswer: 29, 7, 5, 1, -3, -5, -11628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -35.0032. What is a rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4444344600 rounded to the nearest 1000000?\nAnswer: -4444000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 7*s + 3*s, 5*z + 4*s = -9. Put 1, z, 1.9 in descending order.\nAnswer: 1.9, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/21*21\/3)\/((-70)\/(-1435)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9 - 6842*y + 35 + 6822*y wrt y?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2002.59 + -2014. Let x = -11 - q. Let i = x + -0.31. What is the second smallest value in 5, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 239*u - 6*u**2 + 2*u**2 - 254*u - 10*u**4 in the form m + v*u**2 + n*u**3 + l*u**4 + g*u and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 7, y: 3}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 290, 288, 286, 284, 282, 280?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124157575 to the power of 1\/3, to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/(-27))\/((-4)\/(-114)). Let a = u + 50. Suppose -r - 3 + a = 0. Calculate the smallest common multiple of r and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1236 and -121\/1236?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15977127 is divided by 1731.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2)\/1 - -13. Let c(f) = -2*f**2 + 25. Let n(x) = -5*x**2 + 3*x + 58. Let m(p) = -12*c(p) + 5*n(p). Determine m(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 3 + 3 + (1 - 7*g - g - 4*g)*((-6 + 12 + 4)*(-3 + 2 + 3) - 3 + 2 + 3) to z + t*g and give t.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + 88 + 42 + -102?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -2819*d**8\/336 - 25*d**4\/24 + 9*d**3\/2 + 4299*d**2. What is the second derivative of c(a) wrt a?\nAnswer: -56380*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.183794 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/2, 44, -12, 0.4.\nAnswer: -12, 0.4, 9\/2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27344*c = -o - 27343*c - 6, 4*o + 24 = 5*c for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 462315 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-24))\/((-8)\/156). Let m(l) = 3*l**3 + 9*l**2 - 2*l - 51. Is m(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8*o. Let l(u) = -22 + u + 45 - 23. Give g(l(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*2\/2*(0 + 0). Suppose 4*r = -2*j + 122, -5*j + o = -r + 25. Calculate the least common multiple of r and 33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 55*t**4\/24 - 191*t**3\/3 + 12*t**2 + t - 202. Give c(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-25)\/((-300)\/(-96))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 6*q + 5*q - 5 = 0, 47*k + 15*q + q - 13*q + 91 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2091.07 millimeters to micrometers.\nAnswer: 2091070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -125 + -b1ac?\nAnswer: -b304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 246 (base 7) to base 3\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5316238?\nAnswer: 2, 19, 139901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 11 = 4*p - 5*l, 0 = 5*p - 2*l - 25. Suppose -p = -k + 5. Solve 0*a + 3*a + k = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**2 + j**5 + 5*j**2 + 6*j**5 - 4*j**5 - 3*j**5 + (4*j**2 - 4*j**2 + j**4)*(-2*j - j + j) + 0*j**5 - 3*j**5 + 2*j**5 - 2*j**5 - 3*j**5 + j**5.\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, -1\/6, -3, 108, 5, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (108\/45)\/(4\/(-250)). Suppose 5*q - 2*s - 14 = 0, -1 = -q - s + 6. Is (-38080)\/t - q\/(-30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 348 + -345. What is the second derivative of 22*x**2 + l - 6 - 2*x + 58*x**2 - 55 wrt x?\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-54)\/(-4))\/((-3)\/(-8)). Let l = n - 25. Let v = -11 + l. Which is greater: -1\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-52)\/(-210) - 2\/6. Let w = 2\/7 + s. What is the nearest to 0.03 in -2\/3, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 58*q**3 + 5*q**2 - 5*q - 5. Let g(p) = -87*p**3 - 8*p**2 + 8*p + 8. Let n = 7302 + -7310. Determine n*k(l) - 5*g(l).\nAnswer: -29*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 578102659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -16*u - 5*n + 2742, 4*n = 3*u - 2688. Is u a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 17.414 (b) -99 (c) -8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 527.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6568.\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/11816 and 27\/34121654.\nAnswer: 136486616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 375, -343, -1295, -2601, -4381, -6755, -9843, -13765?\nAnswer: -18641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1254.927 + 1247.7. Let u = w - -6.78. Let o = -0.4469789 - u. What is o rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 13 = w, -v + 4 = 2*w + 15. Suppose -l - 27 = 4*g, 0*g + 3*l = -4*g - 33. What are the prime factors of (-2)\/g + (-5)\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/341 and 25\/1364.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v - 2. Let p be z(-9). Calculate the highest common factor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 38*v**2 - 4*v - 6. Let z(s) = -394*s**2 + 46*s + 65. Calculate 23*m(o) + 2*z(o).\nAnswer: 86*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**4 + 9*f - 920*f**3 + 5 + 13*f + 934*f**3 as c*f**2 + i*f + x + b*f**3 + w*f**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/8 - -1)*3*64\/84.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21941 + 21947. Solve -5*j = -12*h + 16*h - b, 0 = -2*h - 2*j + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 5*s = 19208. Calculate the common denominator of -10\/21 and (-8)\/(-14) - (-1617)\/s.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + 10. Let h be -92*3*q\/12. What is h rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 2*w**2 + 22 + 0*w**2 - 15*w**2.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/(((-8)\/6)\/((-110)\/33))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62.2 + 11.8. Let x = -74.3 + l. Which is the second smallest value? (a) -0.08 (b) 2\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -11 + -12 + (37 - 51).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1369718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1757474.\nAnswer: 2, 878737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 10*k**2 - k + 22. Suppose -4*i + 88 + 32 = 0. Suppose 3*d = 60 - i. Let u be s(d). Are u and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -200?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s - 2786*s**2 + 2783*s**2 + 66*s.\nAnswer: -3*s**2 + 45*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 77?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -150 + 162. Let k be 4 + 9*(-8)\/12. Which is greater: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2. Let x(n) = -6*n**2 - 1. Let r be x(1). Let p = r + 27. Let z(f) = -20 + 5*f - 3*f + p. Give z(y(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1935254 = -2*z - 5*u, 19*z - 4838135 = 14*z - u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123)\/(-45) - (48\/(-30))\/((-27)\/45).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 16) to base 12\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -509, -746, -983, -1220?\n\"Answer: -237*k - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 0. Suppose -2*w + c = -w. Let i = 56 + -53. Solve 4*d - 1 - 16 = w*h, 0 = i*d - 3*h - 15 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a + 535. Let n = -11 - a. Suppose 4*f = n + 108. What is the remainder when f is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -100982768 - -3?\nAnswer: -100982765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 46 = 18. Suppose q + 18 = -d - 3*d, -q - 5*d = 23. Solve q*l = h*l + 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*v + m + 43, 2*v = -3*m + 66. Suppose 4*x - 3*i = -5*i + 6, -x = i. Suppose -x*h + 21 = -v. Calculate the highest common factor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 0.02, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 21 = 41, b = 9*l - 34 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 247?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + b - 2. Calculate p(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 192*x + 6. List the prime factors of u(10).\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 118?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxypm. What is prob of sequence mny?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = 20 - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + 103. What are the prime factors of z?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 767898 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -16*v**3 + 49*v**2 + 47*v - 154. Calculate z(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i + 88 + 84 + 104 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -426 - 423 + 8*i - i**3 - 432 - 9*i**2 + 1270 to u + h*i**2 + k*i**3 + s*i and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83220 (base 10) to base 3.\nAnswer: -11020011020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**3 + 13*k**2 + 10*k - 11. Let a(f) = 4*f**3 - 12*f**2 - 9*f + 10. Let r(m) = 4*a(m) + 3*u(m). Is 17 a factor of r(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29, 67, 139, 251, 409, 619, 887?\n\"Answer: n**3 + 11*n**2 - 2*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 + 3*q**2 - 3*q**2 + (-2*q + 0*q + 4*q)*(-2*q + q + 3*q) + 3*q**2 - 3*q**2 - q**2 + 18*q**2 - 20*q**2 + 11*q**2 + (0*q + 4*q + q)*(-q - 2*q + 4*q).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -98, -184, -294, -422, -562, -708?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-15))\/(11*99\/(-1815))\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 82*f**2 + 0 - 6 + 259*f**2 - 4 + 8*f. Let o be d(4). Suppose o = -n + 7*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.3 (b) -1 (c) 5 (d) -2727 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(7\/6)*q\/q**7*q)\/(q**(-8)*q*q**(1\/2)) assuming q is positive.\nAnswer: q**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - ((sqrt(96) - (sqrt(96) - (sqrt(96) + 2*sqrt(96)*-1))) + sqrt(96)))\/(sqrt(96)\/(2*sqrt(8) - sqrt(8)) - (-2*sqrt(144))\/sqrt(12)))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 12:46 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-1)\/(-3) - -22. Calculate the remainder when 22 is divided by (-2)\/(-4) + q\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**2 + 16519904*q + 17056701760576 = 0.\nAnswer: -2064988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14500*d - 11670*d + 138670 = 0 for d.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 13 + 2. Suppose -4*z + 23 = -3*a, 0 = 3*z + z - 2*a - 22. Suppose -o - z = -m. Solve -d - 4*d = -m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 568, 438, 220, -86, -480, -962?\nAnswer: -1532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535224 is divided by 106443.\nAnswer: 3009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 1\/15, 0.01 in increasing order.\nAnswer: -0.08, 0.01, 1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from ajkasya?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)\/sqrt(396) - (sqrt(5500) + 3*sqrt(5500)))\/(sqrt(2156) - sqrt(88)\/(sqrt(8) + sqrt(24)\/sqrt(3)))*-4.\nAnswer: 956*sqrt(5)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.1. Let b = -4564 + 41078\/9. What is the third smallest value in q, -2, -2\/17, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 2*o**2 + 3*o - 4. Let p be f(3). Let q(d) = -d**3 - 1. Let k(z) = -3*z**3 - 3*z - 3. Give p*q(b) + k(b).\nAnswer: b**3 - 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 39*w**2 - 17*w - 49. Let h(b) = b**3 + 19*b**2 - 9*b - 25. Let p(q) = -3*c(q) + 5*h(q). What are the prime factors of p(12)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52 - 5 + 79*f**3 + 1 + 23 - 4*f**3 with respect to f.\nAnswer: 225*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 1012, 0.1, -5, -1\/8, 0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 3, -5, 1, 17 in descending order.\nAnswer: 17, 3, 1, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-363)\/484*8\/(-390)*(405\/6)\/9.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 0 - -16 - (2 + -4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2065 + -2996. Let q = 931.0000429 + i. What is q rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 40*p + 1. Let f(m) = m**2 - m - 4. Let l be f(3). Suppose 4*y - 2*v - 8 - l = 0, 0 = 5*v + 5. Is r(y) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 32 = -4*o. Let w = -17 - o. Let q(i) = -2*i - 8. Let l be q(w). Solve 0*t = 3*t + 5*d - l, 3*d = 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 - 23*z - 124. Is s(20) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 23*p**2 - 81*p - 135. Determine m(-26).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f - f**3 - 5*f**2 + 0*f**2 + 0 + 5. Let n(o) = -o**2 - 12*o + 16. Let a(t) = t**2 - 1. Let r(v) = 2*a(v) + n(v). Let i be r(10). Determine h(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039366135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 0 - -10 - (-4 + (0 - 3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2051*0.0543.\nAnswer: 111.3693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -21, 3 in increasing order.\nAnswer: -21, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679667.\nAnswer: 47, 14461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1650*w**3 + 24*w**4 - 1650*w**3)*(w + w - w).\nAnswer: 24*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 82742437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 210821473\/900 - 234246. Find the common denominator of v and -23\/2025.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*m + 568 = 1456 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*p - 16*p - 15*p - 11*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g = 3. Is (g\/6)\/((-2)\/1012) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/7))**16*n*n\/n**14*n*n\/(n\/((n*n*n**16\/n)\/n)))**(-23) assuming n is positive.\nAnswer: n**(-1909\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 5*z**2 + 7*z + 3. Let x = -15 - -9. Let r be f(x). Let b(h) = -h**2 - 6*h + 1. Calculate the smallest common multiple of b(r) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -o + 3*d, 0*d - 15 = -3*d. Suppose 2*v = o*v - 50. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 2565*x**2 - 25875*x - 64875.\nAnswer: 3*(x - 865)*(x + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.384 or -0.202?\nAnswer: -0.202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/((d\/(d*d\/((d\/(d\/(((d*d\/d**(-12\/7))\/d)\/d))*d)\/d)))\/d))*d**6)\/(d**(-3\/11)*d**(-10\/9)) assuming d is positive.\nAnswer: d**(5612\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/144 and -109\/1904.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*(r**11\/r)\/r)*r**(3\/13)*(r*r**(-2\/17))**(-3) assuming r is positive.\nAnswer: r**(-2523\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 549938563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3183823 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/11*q**3 - 2\/11*q**4 + 0 + 0*q**2 + 8\/11*q.\nAnswer: -2*q*(q - 1)*(q + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 124?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -26.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2157330377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 487902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4000)*2 + sqrt(40) + sqrt(40))\/(sqrt(500)*-2 + (sqrt(45) + 2*sqrt(45))\/sqrt(9)))**2.\nAnswer: 3872\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*u = 2*u + 8, -4*u - 12 = 0. Let b(x) = 315 - 321 + 7*x + 0*x**v + x**2. Calculate b(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/59467?\nAnswer: 3\/59467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 176560694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 24626330?\nAnswer: 49252660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-3)*l\/(l**(2\/3)*l)*l**2*(((l\/l**(-3))\/l)\/l)\/l*l**(-4)*l*(l**(-2)\/l)\/l*(l*l**(2\/7))**(10\/7) assuming l is positive.\nAnswer: l**(-710\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1243364 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -60, -112?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -27. Is l bigger than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 323 + -5?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187*q**2 + 64*q**2 + 41 - 17*q - 19 - 22 to the form x + i*q**2 + d*q and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -28486.0116 rounded to the nearest 100?\nAnswer: -28500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + 84*v = 7*v + 233*v + 9342 for v.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23 - 6\/4*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -110?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5236967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*2.72700468.\nAnswer: -0.272700468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(363) + -4*sqrt(363) + 4) - (-3 + sqrt(363) + -4)*-2)**2.\nAnswer: 220*sqrt(3) + 463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1802\/11 - -15351\/88. What is the common denominator of m and -26\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**3 + 32*y**2 + 10*y + 16. Let g(t) = -52*t - 5. What is the remainder when g(-1) is divided by w(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6.7, 0.25, 3, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8508)\/(-15598) + 339\/(-198)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 2*r**2 + 2*r - 3. Let w be x(-2). Solve -11 - w = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -834 - -838. Solve 2*x + 12 = -0*x - h, -f*h = 3*x + 23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4651589 - 4651589 - 10083*u**2.\nAnswer: -10083*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 15*g - 13. Let b = -164 - -150. Let l be i(b). Solve -l - 4 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 2*f**3 - 16*f**2 + 2*f**3 - f - 6*f**2 + 28. Let z be u(22). Solve -1 + z = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-110) - (140051237\/639595 - 219).\nAnswer: -2\/401","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w - q + 2066, 4*w - q = -2755. Let h = w + 1087. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6\/(q\/q**(-8)))**11*q**(2\/25)\/(q*(q**(1\/3)\/q)\/q)*q\/(q**(-1\/3)*q)*q\/q**(-7) assuming q is positive.\nAnswer: q**(-598\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**13\/((w\/w**3)\/w**(-3)))\/(((w**(-1)\/w)\/w*w)\/w**(3\/5))**18 assuming w is positive.\nAnswer: w**(164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-20)*(-6)\/(18\/18)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -916.4 - -917.8. What is the fourth biggest value in -1, s, 3\/5, 4, 0.9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 53*k**2 + 56*k - 13. Determine i(54).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (3153505\/13)\/((-107)\/(-1391)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -697. Suppose 2*y + 1468 = 4*r, 2*y - q = -2*r + 47. What is the highest common divisor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + i - 7948, 26*i - 15892 = -4*y + 22*i. Calculate the remainder when y is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 d when three letters picked without replacement from iddiddddd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -398 * 0.4.\nAnswer: -159.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6236 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209)*1 + sqrt(209)))*2)\/sqrt(11) - ((sqrt(1216) + -4 - sqrt(1216) - sqrt(1216))**2*-4 - sqrt(1216)).\nAnswer: 262*sqrt(19) + 4928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -11 + 251*v + 3 - 249*v. Suppose -2*g = -0*g - 12. What is w(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y + 8*y - 18*y + 6*y. Let f(k) = k**2 - 8*k - 2. Let i be f(9). Let g(z) = -3*z**2 + i*z**2 + z**2. Calculate t(g(n)).\nAnswer: 35*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from dgumgdgffdf.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.16587 and -265.\nAnswer: -267.16587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-649*s - 154995 + 154995)*(-3*s + 4*s - 7*s).\nAnswer: 3894*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 12*h + 31. Factor -1238 + 632 - 3*g**h - 12*g + 642.\nAnswer: -3*(g - 2)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2697 is divided by 2531?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Let p = -1 + b. Suppose -q + 32 = 5*c, p*c - 4*q = -2*c + 4. Solve c*w - w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 283.17 - 281. Let i = -0.27 + f. Let l = i + -1.7. Which is the nearest to 0.2? (a) -1 (b) 1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132605 (base 8) in base 12?\nAnswer: 22a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 7*b**2 + 10*b + 16. Let s = 112 - 110. Let f(w) = -123*w + 4*w**s + 16 + 131*w - 12*w**2. Let o(q) = 4*c(q) - 3*f(q). Solve o(d) = 0 for d.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and 518.\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 46. Let q(b) = 21*b**3 - 2*b**2 - 2*b - 1. Let t be q(-1). Let s = u + t. Solve 0*z - s*z = -12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 674842154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -730270, -730279, -730292, -730309?\n\"Answer: -2*c**2 - 3*c - 730265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 - (1 - 0 - -3). Solve -5*c - 4 = a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123002 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 14 = -h - 4*p, 3*h = -2*p + 2. Sort 0, 1\/3, h, -1\/4.\nAnswer: h, -1\/4, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 5*y**2 - 5*y. Let q(u) = -u**3 - 6*u**2 + 5*u. Let n be 1\/(-2) + (-35)\/(-14). Let x(k) = n*q(k) + 3*c(k). Determine x(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2028684?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 387625 or 387729?\nAnswer: 387625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*x**3 + 410*x**2 - 1360*x + 480.\nAnswer: -5*(x - 12)*(x - 4)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + (1 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 88 = -3*r. What is the remainder when r is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-892 - 1243 - 1423 - 2976)*(-t + 2 - 2).\nAnswer: 6534*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*n - q + 14, -2*n + 3*q + 24 = 0. Let c(s) be the first derivative of -s**4\/4 + 2*s**3 + s**2\/2 + 1. Determine c(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 1321.\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 23 = 3*a + 2*t, 5*a = -2*t - 95. Let q = 21 + a. Find the second derivative of -4*v**4 + 35 - 35 + q*v wrt v.\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05323*12501\nAnswer: 665.42823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 3586?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8429655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127075913.\nAnswer: 31, 132233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 30 - 9*u + u**2 - 30. Let z be m(8). Is 26 a factor of (-7 - z)\/(2\/108)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 8*w + 2. Let x(d) = 4*d - 1. Let p(v) = 2*k(v) + 4*x(v). Let q(s) = -6*s + 4*s + 10*s + 2*s. Give p(q(a)).\nAnswer: 400*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, l: 4, y: 5, h: 1}. Give prob of sequence lhl.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32075179 to the nearest integer?\nAnswer: 5663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*(-1 - 0))\/(19\/38). Let c = 15 - 11. Let g = 4.3 - c. What is the closest to h in 1, -1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 13985*w**2 + 83755*w - 69775.\nAnswer: 5*(w - 2791)*(w - 5)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**2. Let v(l) = -4*l - 47. Give v(h(t)).\nAnswer: 20*t**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**3 + 14 + 11*r**3 + 3*r**3 - 11*r**2. Let h(b) be the second derivative of b**5\/5 - b**4\/3 + 5*b**2\/2 - 2*b. Give 17*h(p) - 6*y(p).\nAnswer: 2*p**3 - 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 - ((-5 - -17) + -6 + -7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s = 8*s - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12)\/(35615\/25140)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 331? (a) 3 (b) 1\/21 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - -6.4. Let o = h - 9. Let n be (1\/6)\/1*2. Which is the second biggest value? (a) o (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 614514802352 and -0.08?\nAnswer: 614514802352.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 250368 to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -184 + 269. Calculate the smallest common multiple of 136 and z.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-1) + 70*972\/3420?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1096*w + 1490*w + 1599*w to x + j*w and give j.\nAnswer: 1993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10690081 a multiple of 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9817443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 15. Let t(n) = -n - 16. Calculate -6*t(w) - 7*x(w).\nAnswer: -w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -2\/11, -0.2, -0.08?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -2231022?\nAnswer: 2231023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 2 - (382 + -398).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 10.8. Let z = r - 0.8. What is the third smallest value in z, 3\/7, 0.3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 2 + 3 + 3 - o with respect to o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**5\/60 - 4*d**4\/3 - 56*d**3\/3 + 48*d**2 + 3. Determine y so that t(y) = 0.\nAnswer: -28, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*r - 2, -2*u + 2*r - 6*r + 4 = 0. Let o = -356 + 358. Suppose g + o*g = u. Let n(j) = j**3 + j + 3. Calculate n(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17906 - 17760. Which is the second biggest value? (a) -1 (b) -0.01 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/11, 0.04, -0.16, 1\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1017423508?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in -4\/3, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*d = -6. Let v(k) = -d*k + 2*k - k**2. Let y(h) = -5*h**2 + 6. Let p(w) = 6*w**2 - 7. Let r(u) = 6*p(u) + 7*y(u). Determine r(v(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 152017 divided by -3\nAnswer: -152017\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5 - 11. Let v be r\/(-14) + (-16)\/(-7). What is the second derivative of 4*m - m + 4*m**4 - v*m**4 wrt m?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-35))\/(v\/v**5))**(8\/5))**(-3\/5) assuming v is positive.\nAnswer: v**(-192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389885.\nAnswer: 5, 77977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/2961301 and -27\/2961301.\nAnswer: 2961301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - i. Suppose -2*a - 2 = -8. Suppose -2*q - 3*k + i = a, -4*q = -k - 15. Solve -q*d = 1 + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 59.5. Let n = 4.3 + v. What is the second biggest value in 3, -0.1, n, -3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -7683828?\nAnswer: 7683827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 2)\/(1\/3). Let o(h) = -7*h - 4. Let s be o(y). Solve -5*z = 8 + s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 112*c**5 - 852*c**4 - 47724*c**3 - 149684*c**2 - 53172*c - 4680 = 0?\nAnswer: -15, -3, -1\/4, -1\/7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 - -79. Solve -5*d - h = -3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 + 25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**5\/4 + 339*b**4\/4 - 2904*b**3 + 24708*b**2 + 116352*b - 138240 = 0. Calculate b.\nAnswer: -4, 1, 20, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3657 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v - 4. Let x(z) = 5*z - 5. Suppose 0 = -5*j + c + 8, 2*j = 4*c - 1 - 3. Let p(u) = j*x(u) - 3*h(u). What is the derivative of p(l) wrt l?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13*g**2 - 11*g**2 + 171126 - 171125. Calculate o(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 5*j, 35 = -47*d + 42*d - 2*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 52 + -25 + -7 + 1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(3 + -2)\/(-1). Sort 5, z, 0.3 in increasing order.\nAnswer: z, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - -16. Let y be -46*(-7 + 6) - (-16 + 14). What is the highest common divisor of t and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((1 - -1) + -2)\/(-1). Suppose -3*x = 5*v - 5*x - 75, -2*x = y. Determine c, given that 20*c + c + v*c**2 + 4*c - 10 = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/3 (b) -0.05664 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeewwweeeeeeew. Give prob of picking 2 w.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*s - 352 - 35726, -2*n = -3*s - 36088. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -253 * 0.5.\nAnswer: -126.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8576203\/2079 - 112724\/27. Let j = -362\/7 - c. Find the common denominator of j and (123\/(-6))\/(1 + 0).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2326991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 416 and 1092.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 13 = -3*l + 7, 3*l = -5*j + 24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 757 = 900. Suppose -1943 - p = -5*o. Round o to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -350429069 by 12083761.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.55902031 * -0.4\nAnswer: 0.223608124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 2*z + 1. Let j be o(2). Suppose -j - 2 = -n. Suppose 2*k = -n*k - 1750000. Round k to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -66 (b) -3 (c) -442 (d) -1\/5 (e) 67\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/2 of a tonne?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/54 and 125\/72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6928, 6918, 6908?\n\"Answer: -10*h + 6938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 5:45 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 + -0.11. Let n = o + 0.22. Which is smaller: -0.03 or n?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + y)*(0 + 1 + 1) - 6*y - 14*y + y.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3431 (b) -0.03 (c) -0.3 (d) -0.173 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -43.4, 6\/11.\nAnswer: -43.4, 6\/11, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 477 + -475. Suppose j + 2*g - 1202 = 0, 0 = -9*j + 8*j + n*g + 1182. What are the prime factors of j?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 98*c**2 + 193*c + 27. Calculate t(-96).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 118\/(-5)*55\/(-22)?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 6 - 16 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 350087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-4 + 0 + 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10825204 divided by -4654\nAnswer: 2326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -786*v**5 + 2*v**2 + 295*v?\nAnswer: -47160*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120119*n**3 - 30*n - 96587992 with respect to n.\nAnswer: -360357*n**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 2*b**5 - 2*b**4 - 3*b**4 + b**4 + 0*b**4.\nAnswer: -2*b**3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u + 4*u + 2*u)*(-4*u - u + 4*u)*(3*u**2 - 3 + 3).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -339, -676, -1009, -1338, -1663, -1984, -2301?\n\"Answer: 2*x**2 - 343*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22525706.\nAnswer: 2, 7, 1608979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3979 - 2306. Suppose 32*b - t = 25*b. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 26600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 2*o - 1. Let w(c) = 5*c**2 + 6*c - 36. What is 3*a(u) - w(u)?\nAnswer: -2*u**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -24*d**2 - 94*d. Let q(m) = 22*m**2 + 96*m. Let c(x) = -5*q(x) - 4*s(x). What is the second derivative of c(h) wrt h?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - 5*l**3 - l**3)*(2 - 1 - 2)*(-15*l + 43*l - 5*l).\nAnswer: 161*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(240)\/(4*sqrt(8)))\/sqrt(6) + (2*sqrt(750))\/(sqrt(24)*-3))**2.\nAnswer: 85*sqrt(5)\/6 + 5045\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**7\/378 + 7*t**6\/270 - t**5\/90 - 10*t**4\/27 - 208*t. Find h, given that k(h) = 0.\nAnswer: -2, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5009000 to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -41212 - -a3?\nAnswer: -4113c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 6:42 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**3\/3 - 3*g**2 + 2*g + 3188. Suppose -c - 2*c + 12 = 0. Give w(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4413, 8828, 13243, 17658?\n\"Answer: 4415*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12225242 is divided by 1267?\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 - 38*v**2 - 208*v + 45. Is n(36) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.49 or 0.4?\nAnswer: 1.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 20. Let d = t - -19. Let g = 94 - 66. Calculate the remainder when g is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 x, and 1 k when four letters picked without replacement from kxcxxeteeeeekeeee?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -47. Let w = 0.284 + 40.516. Let u = g - w. Put u, 2, 0.5 in ascending order.\nAnswer: u, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27150 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7*j + 44 = 11*j, -5 = -f + 5*j. Let c be 12\/f + 1003\/85. Solve v - 4*h - 19 = 0, -12 - c = 5*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 8, k - 52 = 4*t - 3*k. Let m = -5 - t. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -2\/67351.\nAnswer: -5, -2\/67351, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f - 12. Suppose 4*s + 40 = 4*d, 3*d + s - 55 = -s. Is u(d) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 571 times -203.804\nAnswer: -116372.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49875652.\nAnswer: 2, 31, 402223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 0.4 (b) -4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2044 is divided by 1084.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-w + w + 2*w)*(-w**2 + w**2 - 2*w**2) + 14*w - 5*w**3 - 14*w)*(-3 + w + 3) as b*w**4 + o*w + q + x*w**3 + d*w**2 and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1be (base 15) to base 12\nAnswer: -298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4999 - -5013. Solve -5*k + 5 = -5*t, -2*k - 10*t + r*t = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -152, -147?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 844.3578 meters in millimeters?\nAnswer: 844357.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 56348 - 4*m**3 + 112675 - 56321 + 4*m**3 - 2*m**3 + 0*m.\nAnswer: -2*m**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241662406 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960) - sqrt(960)*-2) + sqrt(960))\/((5*sqrt(192) - sqrt(192) - sqrt(192)) + sqrt(192)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4115069*m**3 + 21*m**2 + 31209?\nAnswer: -24690414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5 - -6. Let h = 4 - y. Which is the nearest to -0.1? (a) -0.3 (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011 + 100111001000?\nAnswer: 100101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/5 in -3\/8, 185, -2\/23, 17\/22?\nAnswer: 17\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101001110 + -1100?\nAnswer: 11101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpfphphhpp. What is prob of picking 1 f and 1 p?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 3953756.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28490 divided by 11.\nAnswer: 2590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 1\/5 (c) -0.1 (d) -11 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2*j - 2 = 0, -2*t - 3*j + 2 = -2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28421 and 7325?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2695 (base 11) to base 15.\nAnswer: -107c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1071028, 20, 4\/9, -5 in decreasing order.\nAnswer: 20, 4\/9, -1\/1071028, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + 4*l - 1. Let t(n) be the first derivative of -5*n**3\/3 - 3*n**2 + 2*n - 20. Determine 8*g(z) + 5*t(z).\nAnswer: -z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2. Let n(u) = -38*u + 2. Let c(o) = 191*o - 11. Let t(p) = -2*c(p) - 11*n(p). Let d(i) = -12*i. Let j(s) = 16*d(s) + 5*t(s). What is j(l(a))?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 62. Let f = 37 + c. Solve -v = 5*i - f, i + 3*v = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - i - 5 + 2*i**2 + 2*i. Let p be 2*(-24)\/(-18 - -6)*(-1)\/1. Determine j(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -370234, -0.2, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-202)\/(-6) - -7)*-18. Let b = -180 - c. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 4:45 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 35. Let z(w) = 0*w**2 + 3 + w**2 + 7*w + w**2. Does 18 divide z(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238.696ml to litres.\nAnswer: 0.238696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*sqrt(500)*-5.\nAnswer: -200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 7179?\nAnswer: 13\/7179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**2 + 19*z**2 + 27*z**2 - 14*z**2.\nAnswer: 47*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -21*j - 281. Let a(d) = -22*d - 283. Let o(v) = -5*a(v) + 4*p(v). Let m be o(0). Calculate the highest common factor of 97 and m.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26898 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1095497624 to the nearest integer?\nAnswer: 33098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-12) + 0 - (-6)\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -565234 smaller than -565234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3 - 11*j - 3 to the form f*j + x and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6378 - -6406. What is the highest common divisor of a and 1148?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -526, -526, -528, -532, -538, -546?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(3\/(-2))*2529\/(-4). Let i = -380 + y. Which is bigger: 42 or i?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 7.9. Let g = p + 0.5. Which is the closest to 2\/5? (a) 2\/15 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3398088?\nAnswer: 2, 3, 141587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244435 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 13*c**5\/60 - c**4\/24 + 25*c**3\/3 + 19. Let a(q) be the third derivative of p(q). What is the first derivative of a(j) wrt j?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -582*a + 1164. Calculate j(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 10100?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 159 = 7*c. Let y = 8042 - 8038. Suppose -144 + c*w + y*w**3 + 44*w**2 + 50*w - 7*w = 0. Calculate w.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -268 - -284. Suppose 0 = v - 4*y + 4, v + 2*y - 10 = -2. What is the greatest common divisor of r and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((2 + -2)\/(-6 + 4))\/2. Put t, -1, 63 in decreasing order.\nAnswer: 63, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -538.7 to the nearest 10.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8992131, 17984266, 26976401?\nAnswer: 35968536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2\/4*10\/30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -10*s**3 + 125*s**2 - 3*s - 19. What is the hundreds digit of u(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.1 + 0.1. Let q be 5\/(3\/12*4). Suppose g - 6*g = -q*f - 5, -2*g = f - 8. Which is the closest to f? (a) v (b) 5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 65*m**2 + 2023*m + 2040. Calculate q(-1).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -362080 divided by -72416\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**4\/4 - z**3 - 2*z**2 + 5*z - 7. Determine c(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 321673160 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*s = -294937 + 1703565. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353*a = -337*a + 80. Let s(z) = -7*z - 9. Let i(u) = -8*u - 10. Calculate a*s(r) + 4*i(r).\nAnswer: 3*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, r: 2}. What is prob of picking 2 a?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4789800 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5425156*0.1\nAnswer: -542515.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -15*v**2 + 7*v + 1. Let f be m(7). Calculate the common denominator of (-8)\/60*f\/(-4) and ((-4)\/18)\/((-4)\/(-13)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145478193 and 9975?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 208435264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 31. Suppose 4*p + 51 = 7. Let m = p - l. Solve -m*o = -o + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + f**2 - f. Let w(t) = 4*t**3 - 8*t**2 + 6*t - 2. Let n(c) = -3*l(c) - w(c). Let p be n(4). Calculate the highest common divisor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 13*q**2 + 31*q - 13. Let u be y(15). Let h(s) = s**2 - 3. Let l be h(u). Put l, 3, -6 in decreasing order.\nAnswer: 3, l, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30*(2 + -4)\/(-6). Find the third derivative of -y*p + 18*p + 21*p**2 + 9*p**3 - 8*p wrt p.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2532757481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 2\/9, 2\/21, 3.82449?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3067 and -33?\nAnswer: 101211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2 + 318*f - 25281 = 0 for f.\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117888\/395 + -2989\/10. Find the common denominator of v and -101\/20.\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 0.1, 5, -18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.574116 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-6)*(-16)\/(-160) - (-3 - -3). Sort u, 0, -1\/13, -2\/7, 1.\nAnswer: -2\/7, u, -1\/13, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4296\/2503 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3\/4 - 3*b**2\/4 - 3*b + 3 = 0. What is b?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 42*u**2 - u + 11. Let l be w(4). Let g = l + -660. Solve 0 = -4*f + 12, 0*d - f + g = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = p + 3*r, p - 6 = -4*p - 3*r. Suppose 18 = -0*g + p*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15529 + 15616. What is the greatest common divisor of v and 1856?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*v - 2*g, -4*v + 0*g + 5*g + 6 = 0. Suppose 0*b + 3*b - 559 = -v*r, 0 = b + 3*r - 193. Let i = b + -128. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 3. Let r be o(8). Sort 2, r, 0.\nAnswer: r, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 3:02 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 6:44 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236, 238, 242, 248, 256?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 35*h**3 + 3*h**2 - 3*h + 3. Let w(k) = -k**3 + k**2 - k + 1. Determine 3*w(g) - y(g).\nAnswer: -38*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.522514213 to one decimal place.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**6\/15 - 691*d**5\/10 + d**4\/6 - 645*d**2\/2 - 7682*d. What is the third derivative of g(u) wrt u?\nAnswer: -48*u - 8292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f**19)*f*f))\/(f\/((f*(f\/(f\/((((f\/(f*f**(1\/10)))\/f)\/f*f)\/f))*f*f)\/f*f)\/f))*f**5\/f*(((f**(-4\/5)*f)\/f*f)\/f)\/f)**(-10) assuming f is positive.\nAnswer: f**(-191)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.03, -0.4, -7, -4, -108 in ascending order.\nAnswer: -108, -7, -4, -0.4, 0.03, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + -0.2. Let j = -3.1 + 32.1. Let v = j - 27. Put v, -2\/13, b in increasing order.\nAnswer: b, -2\/13, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h - 2. Let i(a) = 36*a + 2 - 73*a + 1 + 35*a. What is -5*i(x) - 6*v(x)?\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10527336.\nAnswer: 2, 3, 146213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 - 106 - (-5 + (-33 - -39) - 8))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232, 171, 272, 535?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqbbbqq. Give prob of picking 2 q and 2 b.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/(-28)*60\/(-66).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0824 times 22\nAnswer: -1.8128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = 13*v - 32*v + 130 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 18*s. Let z(v) = -148*v. Determine p(z(j)).\nAnswer: -2664*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24083 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 82.369+177\nAnswer: 259.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 5. Let c(x) = -2 + 1 + s - 2*x. What is c(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-25)*b)\/((b\/(b*b*b\/b**(-10\/3)))\/b) assuming b is positive.\nAnswer: b**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9*((w*w\/((w\/(w**9*w)*w)\/w))\/w)\/w)**(-2\/75) assuming w is positive.\nAnswer: w**(-12\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*j**3 + 86*j**3 + 83*j**3 + 14*j - 12 - 264*j**3 = 0. Calculate j.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-6 + 20 + -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 13*f - 16. Let i be t(4). Which is smaller: i or 45?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l = 51*l - 420 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/30*(-116)\/(-6) and 7\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/9, 3, 1301.2?\nAnswer: 1301.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 p when three letters picked without replacement from {h: 2, l: 2, p: 4, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*b - 17, 0 = -3*v + b - 11 + 95. Suppose 28*x = v*x - 11. 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: Suppose 0 = 3*w - 3*b - 18, b = -w - 2*b + 18. Calculate the highest common factor of w and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 6074\/7*g**2 - 940\/7*g**4 + 24320\/7*g - 25\/7*g**5 - 8581\/7*g**3 + 11552\/7 = 0.\nAnswer: -19, -4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.077 times -57?\nAnswer: -4.389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6624.1815 times -0.3\nAnswer: -1987.25445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -412, -821, -1230, -1639, -2048, -2457?\n\"Answer: -409*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/3)\/(480\/(-144))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 0 + 0*q + 0*q**4 + 6*q**2 + 7\/6*q**3 + 1\/24*q**5. Let j(h) be the first derivative of a(h). What is j(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-116)\/(-29))\/(12\/3). Solve 0 = -j + o + 6, -5*j = -4*o - 28 + g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 28. Let b = 471 - 472. Suppose -4*m - 6 = -j - j, -2*j = -2*m + 4. Sort b, j, o in descending order.\nAnswer: b, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(52) + 1)*-6 - sqrt(130)\/(sqrt(490)*2)) + (-1 + sqrt(1872) + -1 - (4 + sqrt(1872)*-4)))**2.\nAnswer: -8052*sqrt(13)\/7 + 5881357\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710524437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 9*z**5\/20 + z**3\/3 + 7*z**2 - 43*z. Let o(x) = 3*x**2. What is s(o(i))?\nAnswer: 243*i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a**2 + 4. Let w be 2\/12 - (-115)\/30. Let z(g) = 7*g**2 - 5. Let n(r) = w*z(r) + 5*v(r). Factor n(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (670\/(-8))\/(-5) - 2\/(-8). What is the highest common factor of 34 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -663*s**2 - 6*s + 6054*s**2 + 4*s + 44*s**2.\nAnswer: 5435*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-7 - (-12 + (4 - -2)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(204))\/sqrt(12)*6)**2 + ((-2*sqrt(153))\/sqrt(9)*1)**2.\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 7*u + 4*u + 12364, 4*s - 5*u - 49473 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7138.709 litres in millilitres?\nAnswer: 7138709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 15. Suppose 387 = p*a - 8. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a factor of 618462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -666 - -671. Which is the closest to 0? (a) v (b) 20 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*k - 6*k + 107*k - 15*k + 2*k**2 - 64*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 320 = -9*m. Let i = -22 - m. List the prime factors of (-1082)\/(-14) + i\/(-35).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -14*l + 1. Suppose -f = -2*w + 7, -4*f - 4*w - 25 = -33. What is o(f)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1560 and 1482.\nAnswer: 29640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s + 3. Let n be j(3). Let v = -49 + 54. Suppose n = -r + v*r. What is the smallest common multiple of 5 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m. Let x(t) be the second derivative of 0*t**2 - 5\/4*t**4 + 0*t**3 + 0 - 37*t. What is y(x(w))?\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iimihhi. What is prob of sequence ihi?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 7. Suppose -3*x - 3*a = 6, 3*x - 7*x - 11 = 3*a. Put -2, x, o in ascending order.\nAnswer: x, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6824.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -88 + 92 + -2 + -9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 + 10*v + 1. Let g be o(-4). Find the common denominator of 65\/2 and (-8)\/36 + 39\/g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(252\/27))\/(60\/(-40)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 222 - 227. Let w(p) be the third derivative of p**6\/120 + p**5\/12 - p**4\/24 + 2*p**2. Let g be w(z). Solve -3*v - 4 = 4*n, -4*v + 7*v = g*n - 22 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*n + 5*n + 181, 2*n + 60 = -j. Let z = 99 - j. Does 23 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(112) + sqrt(112))**2 - sqrt(84)\/sqrt(108).\nAnswer: -sqrt(7)\/3 + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1468 - -1.2. Let h = 0.0532574 - o. Round h to 6 dps.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, n: 1, w: 1, y: 1, a: 1}. Give prob of sequence yn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 176 and 439776.\nAnswer: 4837536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(104\/(-418)) + (-70)\/(-490)*56\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38962144 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -127673 minus -360816858?\nAnswer: 360689185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/a**0))**48\/(((a*a**(-1\/2))\/a)\/a)**(-19))\/((a\/(a**(-2\/3)*a*a*a))**(-19))**(-46) assuming a is positive.\nAnswer: a**(7109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - 2*s**2 + s + 3. Let a be j(-2). Solve 4*c - a*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 12:33 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 892 divided by 74503.\nAnswer: 892\/74503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {x: 2, s: 1, z: 1, v: 2, o: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 1. Let s be k(-4). Suppose 25*z + 105 = 28*z. Suppose -s*w + 76 = -z. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -30\/113, 25, 0.5, 1\/6, -0.05?\nAnswer: -30\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 0 - p + 0. Suppose -35*g + 13*g = -306*g + 852. Let b(o) = 5 - 5 - o. Determine g*b(m) - u(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*w - 4)*(1 - 1 + 1) + (-w + 4*w - 4*w)*(7 + 6 - 14).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79979 = -4*a + u - 8622, -3*a + 53558 = 5*u. What are the prime factors of a?\nAnswer: 3, 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5, 526, 1, -2, 51.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*t + 31*t - 6. Suppose 0 = -5*x + 8*x - t. Find the second derivative of 1 - 1 - 1613*i**x + 1601*i**2 - i wrt i.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -8)\/(1\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nineteen quarters of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138438 by 662.\nAnswer: 69219\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = x + x + 18, 6 = -2*x - 4*b. Let f(i) = -8*i + 4. Is f(x) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 22. Let j be 153\/18 + 3\/2. Let u be q(j). Let t be (2\/u)\/((-3)\/12). Which is the third biggest value? (a) 2 (b) t (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45490637 a multiple of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 0 + 0)*(-100 + 100 - 52*s) - 2*s**2 + 2*s**2 + s**2.\nAnswer: 209*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002314436357 rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-54)\/(-4) - -1. Let m = 34 - q. Calculate the common denominator of -31\/2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h = 14*h - q - 9, 4*h + 4 = -4*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d + 0*d + 6*d)*(632 - 632 + 137*d) to s*d + x*d**2 + c and give x.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61.7 in -0.71, -0.2, -5, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i + 2. Let w(f) = 5*f + 2. Let j(p) = -2*o(p) + 2*w(p). Let b(x) = 505*x**2. What is b(j(z))?\nAnswer: 2020*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2770 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -624 + 358. Let l = p + 381. What is l rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 6. Let f be w(-3). Suppose 4*p + 9 - 109 = f. Let l = p + -2. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*g = -10 + 3, 3*g = o + 16. Let v be 288\/(-54)*(o + -5)\/2. Solve 0 = -v*h + 14*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -19*o**2 + 1575*o - 5. Let x(z) = -8*z**2 + 784*z - 2. Determine -2*p(t) + 5*x(t).\nAnswer: -2*t**2 + 770*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-9)\/((-45)\/910). Let t = 29 - h. Is t a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12102, -29298, -46494, -63690?\nAnswer: -80886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96170 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 74023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 89719 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-2)*(-12)\/4. Suppose -5*u = f - 27, -3*u - 2*f + 27 = -5*f. Let y be -6*(20\/u - (-5 + 9)). Sort 0, y, 2, c.\nAnswer: c, 0, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 832, 1662, 2492, 3322, 4152?\nAnswer: 4982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c. Let y(w) = 3*w. What is 5*x(i) - 6*y(i)?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3766.011546 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 600 + -1020. Let c = 170 - v. Round c to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -266134293.\nAnswer: -266134293.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 2*y**2 - 2*y - 2. Let d(q) = -q - 1. Let l be d(4). Let p = l + 6. What is the lowest common multiple of n(-2) and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6795638?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40, -46, -52, -58, -64?\n\"Answer: -6*v - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7057 and 0.67.\nAnswer: -0.472819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 154332 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3125 - 3098. Solve -14*n = -5*n - t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2 + 3 = -2*i + i, -3*i = -9*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 222245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 15*i + 3. Suppose -4*s - 55 - 5 = 0. Let o be w(s). Solve 9 = 4*q - o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2903 divided by -2903.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -44539616 and -44539616 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8*q**2. Let z(s) be the second derivative of 4*s + 0*s**2 - 1\/6*s**4 + 1 + 0*s**3. What is z(f(l))?\nAnswer: -128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168509.3 - -6?\nAnswer: 1168515.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 10*z**2 + 11*z - 3. What is p(-9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**3 + 5*l**2 + 5*l + 6. Suppose 5 = 5*k - 3*c - 6, -5*k - 4*c - 3 = 0. Let q(g) = -g**2 - g - 1. What is k*j(t) + 5*q(t)?\nAnswer: 5*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 10. Suppose 3*w = -7*w - 360. Let r be (1 + -2)\/(-3 + (-104)\/w). Solve 5*x + b + 14 = 0, -u*x - 1 = -4*b - r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -146715*o + 880282. Calculate h(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/16)\/((559\/(-104))\/(-43))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-33)\/45 + (-20)\/(-15))\/((-1)\/(-25865))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -553, -818, -1079, -1336, -1589, -1838?\nAnswer: -2083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -733875 = -7199*p + 16984*p for p.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*q + 4, -3*o - 8 = -4*q + o. Suppose -6 = c - 4*h, -5*c + 3*h + q = 14. Is c*(-63 + 4) - 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (12 - 4) + 0 - 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**2 - 2 + 35*f**3 - 32*f**3 - 3*f - 2*f**2 to the form y*f + c*f**3 + x*f**2 + i and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -12. Let a = -6 + -8. Let s = 11 + a. Sort n, s, 0 in ascending order.\nAnswer: n, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, h: 3, k: 1, m: 3, o: 1}. What is prob of picking 1 o and 1 m?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -79 - 431*c + 39 + 40 - 36*c**2 - 4*c**3 + 437*c as d*c + n*c**2 + s*c**3 + m and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1 = r, 0 = -r + 7*f - 2*f - 1. Let u(i) = i**3 + 36*i**2 - 82*i - 238. Let w be u(-38). What is the units digit of w*((-52)\/8 - r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2)*5 + (-14025)\/2125?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + 6. Let y be -4*n*6\/(-18). Solve -y*i + 20 = -0*s - s, -4*i = 4*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*a + 15. Solve a*x - 2*x = -2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 4)\/(22 + -15)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*h - 19, 0 = 2*o + h + 1 - 10. Let f = -103 + 97. Let x be (f + 2)*4\/48*-3. Solve o*k + x = r - 6, 3*k = r - 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u + 60 = 0. Let i = 30 + u. Let x(a) = a**2 - 11*a - 20. Let h be x(i). What is the highest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017034 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3004 divide 1697920880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 267 = -713. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/2091 and -13\/68.\nAnswer: 8364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 7. Let n = 0.2 + -0.19. Let j = 2.936 + -2.536. What is the third smallest value in j, n, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3\/7 - 14544*r**2\/7 + 159540*r\/7 - 145000\/7 = 0 for r.\nAnswer: 1, 10, 3625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 5*i - 34 = -y, -i = 2*y - 65. Suppose -12*p = -y*p - 84. Is -28\/9 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h - 4*f - 1, 0 = -5*h - 3*f + 2. Suppose -i + h = -5. Solve -4*a + 2 = i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123614 less than 123638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1096*g + 8773. What is l(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 3 - (-3 + 7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17\/32341 - 4107205\/194046. Let g = -27 - -7. Which is greater: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -461031*0.08.\nAnswer: -36882.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 160 = -r + 157, 7 = 3*r - 4*g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2355 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 12) to base 6.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.01, 61.9, -2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*g + 366*g - 5022 = 0 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -2. What is the common denominator of (t\/(-48))\/(1\/146) and (-2)\/(-7)*(-174)\/8?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1. Let c(b) = -7*b + 4. Let u(h) = c(h) + 4*z(h). Let q(t) = t + 1 + 0 - 2*t. Let a be (-12)\/(-13) + 9\/117. Give a*u(j) - 6*q(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 15046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 249\/100 + -56\/25. Let w = -2\/17 + -9\/68. Which is the third smallest value? (a) w (b) -0.9 (c) t (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 16 (b) -2\/3 (c) 8 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, y: 1, h: 2, i: 2}. Give prob of sequence qhi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 415\nAnswer: 207.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*b**2 - 716*b + 1454*b - 714*b to c*b**2 + w*b + v and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 4*y. Let v be k(-2). Suppose -3 = v*p - 43. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 37 = -24*c + 336 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (368 - 384) + (37 - -2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.054, 0.1, -2\/3, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -496307, -36, 5 in decreasing order.\nAnswer: 5, -36, -496307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2 = 6*o. Let q be -1 + o\/6 + (-1025)\/(-4305). Let n = 23 + -22. What is the nearest to n in 15, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**4\/6 - 29*t. Let w(k) = 131*k + 24. Let j(z) = z + 4. Let x(b) = -6*j(b) + w(b). What is x(r(p))?\nAnswer: 250*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398*t + 1402 + 12055 + 4477 = -1966. Let q be -1 + (-1)\/((-1)\/(-41)). Which is greater: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63.31 - 63. Let a = -0.21 + t. Put a, -0.1, -0.2 in descending order.\nAnswer: a, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211201221211 (base 3) to base 2.\nAnswer: -101110000110000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 249808669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-44)\/9*172\/(-964). Let t = o - -4\/241. Solve -2\/9*f**2 + t*f - 8\/9 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319609039.\nAnswer: 31, 10309969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + (sqrt(171)*-2)\/sqrt(9) + sqrt(76)\/(sqrt(196)*2).\nAnswer: -27*sqrt(19)\/14 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-7 - -8 - 1) - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -190.2 + -22.8. Let t = n + 212.264. Round t to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l + 8. Let u(q) = q - 3. Let t be u(12). List the prime factors of g(t).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2308 - 746 = 71*o. Let a(h) be the first derivative of -h + 1\/2*h**2 - o. Calculate a(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 9*y**2 + 3*y - 30. Let l be u(9). What is the units digit of 4\/14 + 1384\/56 + l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648 = -6*l + 408. Let f be 3\/(-3) + 1 + 96. Let s = l - f. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 255555209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1149*k**2 + 2*k - 12. Let w be j(2). Let m = w - -1445. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2))\/((-4)\/(-8)). Let y = 31 - 215\/7. Let v = 2.1 + -2.4. Which is the nearest to y? (a) v (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238.564km in centimeters?\nAnswer: 23856400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -205, -499, -793, -1087?\n\"Answer: -294*k + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -40*s**3 - 39*s**2 - 29*s. Let p be d(-11). Suppose -8*k + 32*k - p = 0. Is 23 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 27*k - 131. What is q(21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 5\/667?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - a + 543, 0 = -f - 4*a + 2*a - 129. Sort -2, f, -3 in descending order.\nAnswer: -2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 25*b - 5*b - 18*b - 4*b. Let f(c) be the second derivative of -3*c**3 + 9*c. Determine v(f(r)).\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 72\/(-252) + 4\/14. Put 0.1, t, 5, -1 in descending order.\nAnswer: 5, 0.1, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7*m**2 - m. Suppose -18*g + 13 = -5. Determine a(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 168535*d + 12. Let w be j(-5). Suppose 0 = -o + 2*u + 408747 - 94092, -5*o + 3*u = -1573303. Let p = o + w. Round p to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3365482 + 40427783\/12. Let t = x + -3496. Calculate the common denominator of 89\/16 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n + 7. Let z = -33 - -47. Let t = n + z. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*p - 10, 5*p - 26 = -0*p - 3*j. Sort p, 0.08, 5, -5 in descending order.\nAnswer: 5, p, 0.08, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - -4 - (5 + -27). Let n(u) = 7*u - 12. Let k be n(9). Suppose 0 = -2*d + 3*f + 42 + x, -3*f + k = 2*d. Is d a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*j + 45 = 0, 3*s + 22 = -2*j + 67. What is the remainder when (-58)\/(-4) + (-4)\/8 is divided by 28\/5 + s\/(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from {x: 6, w: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100 - -96. Let h(p) = 6*p**2 + 12*p - 3. Let q be h(d). Calculate the greatest common divisor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -10393, -406 in ascending order.\nAnswer: -10393, -406, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 10*s + 4. Give x(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + 34 + 29 + 41 + -54.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -521\/6 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 471*q**3 - 9*q + 23. Let t be a(2). Suppose 41*m - t = -1149. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 32. Let l be t(13). Is 7 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 9*b + 14. Let q(l) = -l**2 + 10*l + 10. Let o be q(10). Let r be z(o). Solve -r*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97352c (base 15) in base 4?\nAnswer: -123131310222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67011838253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -p + 7, 23942*y + 5*p = 23936*y - 45 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28427510317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*r**3 + 3 + (4*r + r - 3*r)*(-2*r**2 + r**2 + 0*r**2) + (-2*r**2 + 5*r**2 - 2*r**2)*(16*r + 4*r + 7*r) as t*r + k + i*r**2 + m*r**3 and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -478 by -2.\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 117 - 111. Suppose 29 = -u*v + 83. What is the least common multiple of v and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3254223, -3254229, -3254235, -3254241, -3254247?\n\"Answer: -6*f - 3254217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4933281 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfww when four letters picked without replacement from fwfmmmdyymdw.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f + 102. Let n(o) = -o - 22. Calculate -6*n(j) + x(j).\nAnswer: -2*j + 234","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 929 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2340 divide 50805340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -14, 4, -2, 10.\nAnswer: -38, -14, -2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 3, -4.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13104 divided by 1456?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138 and 92.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34565101 - 6?\nAnswer: 34565073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from ztgtltzrwztzz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004017 to five decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 186505 to the power of 1\/2, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5318 or 5005?\nAnswer: 5005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*g - 202*g - 217*g - 34*g as z*g + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 18*q**2 + 6*q + 518. What is the remainder when 713 is divided by g(16)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/5 + 2*w**3 - 6*w**2\/5 - 2*w + 8\/5 = 0 for w.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 58 + -a739?\nAnswer: -a691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*h + 54*h + 2*h**2 + 1 + 3*h**3 as j*h**2 + v*h + f + t*h**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 899 - -12\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-three thirds of a minute?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 106\/(-14) - 10056\/2933\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1475 and 1.671.\nAnswer: 2464.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 - 77*t**2 + 36*t + 76. Let d be (-398)\/10 - (11\/5 - 3). What are the prime factors of j(d)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 193 = 27*l, 0 = -16*l + 13*l + 21 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c - 1. Is c*-1*14*1 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43a8490 (base 11) to base 4.\nAnswer: 131132132332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 69, 70, -37, -288, -719, -1366, -2265?\nAnswer: -3452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.4, -66\/5, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 7*f**2 - 14)*(-4 + 4 - 3*f + 0 - f + 0 + (3*f - 3*f - 2*f)*(-3 + 5 - 1)).\nAnswer: -42*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2\/13 (c) -17 (d) -5\/2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/9)\/(m*(m\/m**11)\/m*m))\/(m\/m**15*m**6) assuming m is positive.\nAnswer: m**(149\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 792*o + 785*o - 44*o**2 - 2464*o + 887*o.\nAnswer: -44*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/148357 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 14*m**3 - m**2 - 7*m - 15. Let b be z(-3). Suppose -5*h - 15 = x, -3*h + 2*h + 18 = -4*x. Which is bigger: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3106 is divided by 393?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 16 = 74*b - 72*b, -q - 4*b = -30 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 332667192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43090 by -10.\nAnswer: -4309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1253*s**2 + 1. Let m(o) = -203*o - 19. Calculate m(i(x)).\nAnswer: 254359*x**2 - 222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + 575.8065823.\nAnswer: 531.8065823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 3618.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 136\/(-12))*3. Suppose -4*d + 190 = -46. Let p = d + o. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -787 = -2*t - 261. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 9*g - 17. Let l = -23 + 12. What is the remainder when t(l) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -8*d - 4*h + 222, 6*h - 8*h - 288 = -294 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 408 + 399 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 8:47 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((120\/(-264))\/((-60)\/48)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*h - 82 + 419, 0 = w - 2*h - 123. Suppose -x + 43 = 3*p, -5*p = -2*x - 3*x + w. What is the remainder when 83 is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 + 28. Let i = x + 59. Let n be (-1140)\/(-40)*(-8)\/i. Calculate the highest common factor of 38 and n.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*f*l*n**3*p - f*l*n**3 + 5*f*l*p - f*l - 3*l*n**3 - 4*l*n**2 + l*n + 2*n*p wrt n.\nAnswer: -120*f*l*p - 6*f*l - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*o + 71*o - 5*d = 33, 2*d + 20 = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = a - 4 + 2, -4*n = 5*a - 28. Suppose -3*v + 5 = -i, a*v - 3 = -2*i + 7*i. Suppose 20 = v*g - 0. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -17. Let w(n) = 21*n**3 + n**2 + 3*n - 1. What is the hundreds digit of w(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2058 divided by -59\nAnswer: 2058\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27320*r**2 - 7*r + 7*r - 27218*r**2 + 0*r.\nAnswer: 102*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 11*x - 2390 - 4*x**2 + x**3 + 2395. Let a(h) = h**3 - 6*h**2 + 10*h + 4. Let p(k) = -3*a(k) + 2*c(k). Calculate p(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-14) - (-95)\/(-35). Let f be 36\/((b\/1)\/(-3)). Suppose 4*g = f - 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**4 + 12*z**2 + 9*z - 4. Let q(u) = -3*u**4 - u**2 - u + 1. Let a(j) = -4*q(j) - t(j). What is the third derivative of a(n) wrt n?\nAnswer: 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8289 greater than or equal to 3937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*376077.\nAnswer: -150430.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71124935 to the power of 1\/2, to the nearest integer?\nAnswer: 8434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 2*a + 6*a + 8279 - 8279.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 + 0 + 4*b**2 to the form h*b + w*b**2 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - -5. Calculate the remainder when q is divided by (-1)\/((-39)\/(-20) - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 1153393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 36. Calculate the least common multiple of a and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + k + 19. Let z be p(0). Let s be z\/(6\/(-4) - -2). Suppose -l + 2*l = s. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.12437 litres to millilitres.\nAnswer: 20124.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -52\/671?\nAnswer: -52\/671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + (sqrt(133) + (-1*sqrt(133) - sqrt(133)) - sqrt(133))\/sqrt(7).\nAnswer: -2*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4666, 18900, 42610, 75784, 118410, 170476?\nAnswer: 231970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, 5, 3, -113, -6 in increasing order.\nAnswer: -113, -6, -1, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1971097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -2943501855274?\nAnswer: -2943501855273.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 67 + (61936\/(-616) - -34)\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-175)*(-42)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2*x - 5 - 11 - 6*x + 34.\nAnswer: -8*x + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + o - 1. Let v(g) = 7*g**2 - 13*g + 8. Let b(l) = -6*j(l) - v(l). Let x be b(6). Put 5, x, -2, -7 in descending order.\nAnswer: 5, x, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*g - 1705*v + 1707*v, 17 = -g - 3*v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141496 and 406032?\nAnswer: 9338736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3)*m**(2\/5)\/m)\/(m**(3\/8)*m*m*m*m\/(m*m\/m**(3\/7))))**47 assuming m is positive.\nAnswer: m**(-84271\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 2, k: 7, f: 2}. Give prob of sequence rk.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6796075 days in nanoseconds?\nAnswer: 58718088000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -626, -1229, -1810, -2351, -2834, -3241?\n\"Answer: 3*t**3 - 7*t**2 - 603*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -32, -44, -60, -80?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/4, -0.066, -1, -14?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*h - 15*h + 163*h - 3975 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/64)\/((-72)\/288)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -26*u**5\/5 + 246*u**4\/5 + 2066*u**3 + 65514*u**2\/5 + 101152*u\/5 + 45696\/5 = 0.\nAnswer: -8, -1, 357\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 13) to base 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 952 in ascending order.\nAnswer: -3, -1, 952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, 25, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - 2*c - 2. Let g be i(2). Let p be -4 - (-10 + 0)\/2. Solve 4*y + g*s - 7 = -p, 3*y - 3*s = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 73. Let w(j) = j**3 + 8*j**2 - 22*j - 8. Let n be w(k). Let s be (-4)\/(-18) + n\/(-108). Calculate the greatest common divisor of s and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -694*h = -729*h + 105 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 4053\/(-385)) + 3 + 95\/(-25).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**6\/720 + p**5\/120 + p**4\/12 - 2*p**2. Let d(i) be the second derivative of n(i). Differentiate d(x) wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-1)*8\/56. What is the nearest to r in 2\/7, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16543286.\nAnswer: 2, 8271643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/((-18)\/(-456)). Let l = 57 - g. Suppose 8268 = 1725*r - 1569*r. What is the remainder when r is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s**2\/7 + 2642475*s\/7 - 125832 = 0 for s.\nAnswer: 1\/3, 293608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -4, -0.2, 7 in descending order.\nAnswer: 7, -0.2, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/49, -1, -3\/4, 0.2, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 7 - 2*u**2 - 14*u + 25. Let t(k) = 16*k**2 + 71*k - 91. Let c(p) = -11*l(p) - 2*t(p). List the prime factors of c(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + h**2 + h - 1. Let w = 18 + -18. Suppose -5*u + 2 + 3 = w. Let x(b) = 5*b**3 - 2*b**2 - 2*b + 1. What is u*x(p) + 2*l(p)?\nAnswer: 3*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y + 299 = -376. Let h be y\/(-3)*(-42)\/(-105). Solve -h*w + 16 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 334266548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(137700\/475) + 2\/(-17)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1278, 2566, 3868, 5190, 6538?\nAnswer: 7918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102415 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-9 + 9 - -9) + -24.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36990)\/(-3780) + (-45)\/(-5) + -19.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*l - 3*l + 8*l)*(-42*l**2 + 62*l**2 - 3*l**3 + l**3) to the form j + r*l + g*l**2 + u*l**3 + f*l**4 and give u.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 + 37)*(-8 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45 + 12?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 7*p + 10. Let j be t(8). Suppose 1187 = 5*m - n + 5*n, -j*n = 3*m - 711. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1285521876?\nAnswer: 2, 3, 2549, 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 j when three letters picked without replacement from {j: 2, z: 4, y: 4, l: 1, k: 9}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406 = -112*l + 141*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24572743, 49145448, 73718151, 98290852, 122863551, 147436248?\nAnswer: 172008943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48526 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -149259 + 1839318661\/12323. Let o = g + -1096883\/418982. What is the common denominator of o and 55\/16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -221 - 99. Let b(n) = n + 38. Let c be b(r). What is the highest common divisor of c and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(2\/11))\/t)**24\/(t**30\/(t\/t**30*t)) assuming t is positive.\nAnswer: t**(-422\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/8 and 46\/38491473.\nAnswer: 307931784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.728419 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159684027 is divided by 7636?\nAnswer: 7631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 295*b + 20337. What is l(115)?\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21880\/39 - 561. Let y = -5435\/9 + 5441\/9. Is y < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Suppose -n*g - 12 = 4*z, 3*z + 2*g + 2 + 6 = 0. Sort 0.5, z, -1.\nAnswer: z, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 223, 222, 221?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -124, -171, -214, -259?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a + -72734?\nAnswer: -72717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - s + 18. Calculate x(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.39 + 0.01. Put -5, 4, 0.2, o in ascending order.\nAnswer: -5, 0.2, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 54 = 5*c. Let j(w) = 2*w**2 - 25*w - 8. Let s be j(c). Suppose -3*d - s*d + 320 = 0. Does 37 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7645768 or -7645770?\nAnswer: -7645770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 610 and 99998886.\nAnswer: 499994430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c + 16*c - 3*c to g + d*c and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*q + 30 = -f, 4*q = 16. Let i(p) = p**2 - 4*p + 22. What is the hundreds digit of i(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**20*k*k)**(1\/2)\/(((k**(1\/6)\/k*k)\/k)\/k)**3 assuming k is positive.\nAnswer: k**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.3922 + 4.41. Let c = 0.0482 + o. What is c rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/14)\/((-1134)\/21168).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -125 in 5, 3\/2, -5, 725, 1\/5, 35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*n + 1, 68*h + 2*n = 65*h + 18. What is the greatest common divisor of h and 892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.002 (b) 4 (c) -0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 145*w**2 + 1675*w + 4750.\nAnswer: 5*(w + 5)*(29*w + 190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 + -1 + 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p + 7. Let b(i) = -39*i - 1252. Let h be b(-32). Let n(u) = 9*u - 20. Determine h*n(t) - 11*v(t).\nAnswer: -3*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e (base 15) to base 3.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860 is divided by 62.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (3 + 1 - 3) - (92 + (0 - 20)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*p - 3 = -76*p + 2*d, -d = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33118925 and 4550.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16080 divided by -48?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4383502?\nAnswer: 2, 47, 46633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185204 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 2*r**2 + 32*r - 12. Let w be a(-9). Let x(p) = 341*p**2 + w*p**2 - 491*p**2. Let y(b) = 2*b**2. What is y(x(t))?\nAnswer: 27378*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2480 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-3)\/18 + 46\/44. Let z be ((-28)\/(-42))\/(2\/(-3)). What is the third biggest value in h, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**5\/20 - 5*a**4\/12 + 5*a**3\/6 - a**2 + 3*a. Is 2 a factor of r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-12 + 2070\/162)*(-456)\/(-16)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10010 (base 3) to base 13\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 12. What is the second biggest value in n, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -428295612 divided by -8863?\nAnswer: 48324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + 2*j - 1. Let o(p) = 3*p**2 + 2*p + 1. Let a be o(-1). Let m = -1 + a. What is w(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -940? (a) -1 (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10682 divided by 1?\nAnswer: 10682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*(-7)\/(-70)*5. What is the third biggest value in 2\/3, h, 5\/7, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 76\/5 of a microgram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 847 is divided by 0 + ((-4)\/(-60) - (-5320)\/75)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and 4663.\nAnswer: 4660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 2*v. Let q be 8\/20 + (-2)\/5. Suppose q = -r + 4*r + 6. Give t(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 84*p**4 - 14 + 14 - 2*p**4 + 3*p**4 - 2*p**4 + (2*p**2 - 4 + 4)*(0*p**2 - 2*p**2 + 4*p**2) - p**2 + p**2 + 2*p**4.\nAnswer: 89*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20114 (base 9) to base 4\nAnswer: 3032200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*b**6*o - 104*b**5*o - 597*b**2*o - 9*b**2 wrt b.\nAnswer: 4080*b**3*o - 6240*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - (-8 + 6 + 5). Solve 0 = 5*o - 12 + g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkyypypyyyppty. Give prob of picking 1 t, 2 y, and 1 k.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 4. Let r be u(6). Find the second derivative of -4*p + p**r + 9*p**2 - 4*p + 6*p wrt p.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436476.717 - -0.6?\nAnswer: -436476.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -11724.5 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 3 - (-1 + 1). Let z(n) = -3*n**2 + n. Let w(u) = 34*u**2 - 483 - 493 - 29*u**2 + 975 - 2*u. Determine i*z(y) - 2*w(y).\nAnswer: 5*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2702?\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.1, -2\/8845, 118, -0.04 in decreasing order.\nAnswer: 118, 2.1, -2\/8845, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 451.33+-9576\nAnswer: -9124.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -927 divided by 309?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-17866)\/4)\/(3\/(-6)).\nAnswer: 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**7)\/v)**32 assuming v is positive.\nAnswer: v**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 - 67*w**2 + 37*w + 179. Calculate the smallest common multiple of k(-34) and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217918, -871912, -1961982, -3488134, -5450374?\nAnswer: -7848708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -798359542*z**5 - 115178941*z?\nAnswer: -15967190840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 54. Let l = 55 + u. Solve 3*r + l - 21 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44875 is divided by 22419.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 12, s + z - 3*z = -4. Let k = 76 - 76. Solve -s*c + k*c = -2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 4*g - 15. Find the common denominator of 4\/(-26) + 2*(-10986)\/(-1872) and (-6)\/g - 286\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -97*t**2 - 67 - 10 + 282*t**2 + 233*t**2. Let z(y) = 11*y**2 - 2. Calculate -2*s(j) + 77*z(j).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*g - 248 = 0, -g + 16 = -5*g. Suppose -4*d + h = -2*b + 3*b, -8 = 2*b. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/96 - (-201)\/(-18).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9adc04 (base 14) to base 10\nAnswer: -5262604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r**2 + 2. Suppose 4 + 6 = 5*s. What are the prime factors of d(s)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355140 less than 1355139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/35 - (-58)\/7. Let w = k - 5. Suppose d - 2*z - 2 = -w*z, 0 = -2*d - 3*z - 1. Calculate the remainder when d is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -433044\/337 - -1285. Is u greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from {w: 1, r: 2, b: 7}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248439564.\nAnswer: 2, 3, 17, 405947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23 and 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -305*l**4 - 314 wrt l?\nAnswer: -1220*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*(sqrt(500) - (sqrt(500) + sqrt(500) + -1) - sqrt(500)) + (sqrt(500) - -2*(sqrt(500) + 1) - (1 + sqrt(500) + 1 - sqrt(500))))**2 + -1 + 5.\nAnswer: -40*sqrt(5) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 679501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -5*h**4\/24 + h**3\/6 + 3*h**2. Let a be 1\/(-2 - -3)*1. Let l = 0 - a. Determine y(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r - p = 6972, -3*p - 5571 = -4*r. What is the tens digit of (4\/6)\/(30\/r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -2304*n + 2300*n + 16, -5*g = 2*n - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((165\/(-10))\/(-33))\/((-2)\/(-8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 398, 1812, 4152, 7406, 11562, 16608, 22532, 29322?\nAnswer: 36966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(13)*-1)**2 + (sqrt(117) + (sqrt(117) - -2*sqrt(117) - sqrt(117)))\/sqrt(9).\nAnswer: 3*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.08 and 0.043?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**2 - 2250*f - 421875 = 0.\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**2\/2 - 5*c + 3. Let z be u(5). Let m = -142\/3 + 48. Which is greater: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - -3 - (3094 + -3089)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -12458282 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44535979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/15))**(-1\/5)\/((y\/y**(-9\/4))\/y*y\/(y**(-11)\/y)) assuming y is positive.\nAnswer: y**(-4627\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9171 - 91827\/10. Are b and -13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 8 - 3*o - o. Does 13 divide q(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -9*l**2 + 496*l + 59. What is k(55)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from sskkppfesqqpkks?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218 is divided by 186?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 20 = -11*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 3*a + 3*k + 6 - 72, 5*a - 21*k = -98 - 144 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-910))\/((-3648)\/(-1064)*14\/20)\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 947 times 21.736\nAnswer: 20583.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 11*i**2 - 10*i - 9. Let o be m(-10). Let q = 25 + o. Suppose 3*s = q + 86. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*a + 21, a + 16 = -q + 5*a. Suppose q*c = c + 36. Let i be 1 + 3\/c + -1. Are -1 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3149\/246 - -4\/123. What is the common denominator of h and 50\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, i: 4, g: 2, e: 1, l: 1}. What is prob of sequence gr?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 13.9. Which is the second biggest value? (a) q (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 344657343 to the nearest integer?\nAnswer: 18565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.023 + -0.497. Let z = 0.58 + u. Let m = -36 + 33. Which is the third smallest value? (a) -0.4 (b) m (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5857\/27 + -217. Let v = 6 - 6.1. Let x = -0.275 - 4.725. Which is the closest to v? (a) x (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Collect the terms in -25*h**3 - 44*h**3 + 24*h**3 + 3 + 0 - 8*h**3.\nAnswer: -53*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10346, 20691, 31036, 41381?\nAnswer: 51726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 5*g**2 - 3*g + 3. Let j(u) = -2*u**3 + 10*u**2 - 5*u + 5. Suppose 23*q - 163 + 48 = 0. Give q*y(r) - 3*j(r).\nAnswer: r**3 - 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-31)\/(-76) + 2\/(-8). Let n = -495509\/1384245 - -1\/14571. Let v = o + n. Which is the nearest to 0.1? (a) v (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 6*n + 219 = h, -n + 3 = 0. What is the remainder when h is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + -2 + (11 - 3). Suppose 0*z + 4*r + 38 = 3*z, 3*z = -4*r - 2. Let j = z + s. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-4)*6\/27. Solve -3*o - f*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*x - 19 = 0, -2*g - 13 = -7*g - x. Suppose c + 0 = g. Factor -2 + 6*l**2 + 3*l**3 + 3*l**3 - 2*l**c.\nAnswer: 2*(l + 1)**2*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/5 - 2718992*t\/5 - 1848229374016\/5 = 0. What is t?\nAnswer: -1359496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (33 - -2) - 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5187942*d*v**2 - 565*d*v + 14*d + 10 wrt v.\nAnswer: -10375884*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7147549765 to the nearest integer?\nAnswer: 1926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*i + 404, -2*t = 2*t + 2*i - 814. Suppose k = 3*m + 4*k - 639, -t = -m + 3*k. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/17 - 396\/(-102). Let a be 10\/2*(-1 + 2). Let s be 17\/a - 18\/(-30). Solve s*i - q*x = 20, 0 = -i - i - x + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q. Let p(z) = -5*z. Calculate 6*p(f) + 4*u(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 80 = -4*z + 5*u, -21 = -z + 2*u. Is 3 a factor of z\/((-429)\/6) - (-680)\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/27))\/(o\/(o\/((o*o**11\/o*o)\/o)))*(o*o*o\/o**7)**(-6) assuming o is positive.\nAnswer: o**(380\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - (4*sqrt(784) + sqrt(16) + sqrt(16)))\/(1*sqrt(8)*1) + -2.\nAnswer: -29*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0 = -28. Let k be -2 - (-28)\/(-21)*(0 + -3). Calculate the highest common divisor of k and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0 (b) 2\/3 (c) 2 (d) -79 (e) -41\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 53*x + 322. Let r(i) = 5*i**3 + 8*i**2 + 5*i + 7. Let p(d) = -4*d**3 - 7*d**2 - 5*d - 6. What is x*p(m) + 6*r(m)?\nAnswer: 2*m**3 - m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 6*l + 130. Let j be a(-24). Calculate the highest common factor of 110 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a microgram in nanograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*r - 2*k - 1, -5*r = -5*k - 25. Is r < 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)*-3)\/sqrt(2) + sqrt(65)\/sqrt(180) + 4 + -2.\nAnswer: -17*sqrt(13)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1233, 2514, 3793, 5070, 6345, 7618?\n\"Answer: -y**2 + 1284*y - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -41400?\nAnswer: -41343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11004*g**4 + 2*g**3 + 9050*g**2 + 272288244*g.\nAnswer: 132048*g**2 + 12*g + 18100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 73*k**2 + 19*k + 1108. Calculate u(-73).\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m - 55871 = -56915 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1289878.\nAnswer: -1\/1289878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 2059730 in increasing order.\nAnswer: -3, -1, 2059730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 + 117. Which is the fourth biggest value? (a) -0.4 (b) i (c) 1\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 2.92019.\nAnswer: -2.92019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.951 take away -6?\nAnswer: 5.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4387*u - 19616 = -5613*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 6. Let y be j(4). Suppose -5*d = -y*x - x - 35, -5*d = 4*x. What is the derivative of -1 + 2 + 6*u**d - 3 - 5*u**4 wrt u?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4, -263 in decreasing order.\nAnswer: 4, 0.5, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -663 + 185. Let x be (g*(-1)\/(-2))\/(-7). Let n = -34 + x. Does 1 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**2. Suppose 3*i = g - 14, 5*g - 14 = -i + 2*i. Let c be j(g). Let n = -14 + c. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 54, 101, 168, 261, 386?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 1, g: 3, x: 2}. What is prob of picking 1 x and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 200\/(-1*(-2)\/(-1760)). What is t rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/2)*(o\/(o*o**(2\/7)*o))\/o)**(16\/9))**34)**(-1\/8) assuming o is positive.\nAnswer: o**(850\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1817.\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 3 = -47. Suppose -m = -2*m + 4. Solve g*k - z = 16, 12 = 3*k - 0*k - m*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/10)\/(3\/2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - (30 + -4 + 15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 171 - 167. Let f be 4 - (0 + (-4)\/2). Let j = f + y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 23*u**4\/6 + 2383*u. Let w(y) = 4*y + 2*y - 4*y. What is m(w(v))?\nAnswer: 184*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/5 and (10\/(-55))\/(16\/(-142)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/21)\/((-32)\/(-192)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13732\/26 - (-8)\/(-52). Suppose -4*z - g = o - 5*o, 0 = -4*o + 5*z + 533. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 2*d**3\/3 + d**2 - d - 2. Let n(m) be the second derivative of 5*m**4\/12 + 7*m**3\/6 - 2*m**2 - 6472*m. Give -7*l(q) + 2*n(q).\nAnswer: -4*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 divided by 3?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6792308*i - 4*i**2 - 6792307*i + 85 - 10 + 2*i**3 + 0*i**2 to u*i + z + p*i**2 + s*i**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.666778l to millilitres.\nAnswer: 8666.778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3060\/(-15))\/(-17) + 229\/(-19)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*a - 253*a + 154*a.\nAnswer: -404*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/3297528 and 79\/670761.\nAnswer: 1454209848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20110311222 (base 4) in base 10?\nAnswer: -2182506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**4*o))**(2\/105)*o\/o**(-23)*o**(2\/115)\/o)**(-1\/40) assuming o is positive.\nAnswer: o**(-55403\/96600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-3*2\/4). Suppose -25*p + 372 + 378 = 0. Let x = p + v. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19977 is divided by 19401.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 7*n**2 + 15*n - 99. What is l(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 12, -0.5 in descending order.\nAnswer: 13, 12, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -465, -1151, -2133, -3423, -5033?\nAnswer: -6975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 125700*i + 125696.\nAnswer: 4*(i - 31424)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 217, 389, 533, 637, 689?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13313122.134 + 1.3.\nAnswer: 13313123.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6230 or 6225?\nAnswer: 6230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 9115*r + 166343. Determine u(-19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k - 14*k + 46*k - k**2 - 17*k.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 812523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(70)\/(sqrt(20)\/sqrt(2)))**2 + sqrt(77)\/(sqrt(77)\/sqrt(7))).\nAnswer: 2*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -x + 11, 2*x + 4*y = 3*y + 8. Let n = -1537 - -2160. Find the second derivative of -q + q**5 + n*q**3 - x*q - 623*q**3 wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwbw when four letters picked without replacement from wbbbwwbwbwbbbbbbbbb?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 1334620 = n + 2*a, -4*n - 15*a + 5338340 = 0. What is n rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 15. Let g be (-6)\/r - (-19)\/4. Suppose -5*o + 135 = -10*o + g*w, 5*w = 4*o + 108. Which is bigger: o or -28?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9506?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*(-1*(-1*sqrt(432) - sqrt(432)) + 1).\nAnswer: 20 + 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-69)\/(-21) + 2\/(-7). Let y(o) = z - o + 0 - 3. Let u(n) be the second derivative of -n**3\/3 - n. Give y(u(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + p + 4*p)*(-2 + 3 - 3) - 4*p + 6*p + p + (-2 - 2 + 2)*(p + p + 0*p) + 5*p + 13*p - 7*p + (-p + 0*p - p)*(1 + 0 + 0).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(5 - (5 + -1)) + 0. Which is the closest to -4? (a) -0.4 (b) -0.2 (c) -1\/7 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 5*o**2 + 2*o - 7. Let b be t(6). Let c = -46 + b. Sort 3, -3, 4, c in descending order.\nAnswer: 4, 3, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 91*n**2 + 503*n - 6290. Calculate v(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34111351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340050073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 50705804, 50705802, 50705800, 50705798?\n\"Answer: -2*d + 50705806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-14) - 9\/21. Put l, 5, 12 in increasing order.\nAnswer: l, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533878693 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/28*-4*21\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/6 (b) 2\/3 (c) -15.75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*1 + 1*(0 + sqrt(13)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4 + 1\/2*u + 1\/4*u**2.\nAnswer: (u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 655 - (-23 + -1)\/(-6). Let l = 2607\/4 - t. Which is the third smallest value? (a) l (b) 1 (c) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j - 45. Let p be f(16). Calculate the common denominator of (-69)\/(-4)*32\/144 + p and 57\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.58 - -2.71. What is the biggest value in g, -2\/7, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100*f**4 + 8180*f**3 - 82469933*f**2.\nAnswer: -2400*f + 49080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in -1\/6, -72.053, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3270\/20 - (-1)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 6332*b + 6327*b + 29 = 0, 5*n + 2*b = -28 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/5))\/r)\/(r\/r**4)*(r*r**1*r)**50 assuming r is positive.\nAnswer: r**(763\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8237445017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3530, 7089, 10650, 14213, 17778, 21345?\nAnswer: 24914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2895010.\nAnswer: 2, 5, 23, 41, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368279 is divided by 440.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 2*b**2 + 128*b - 2*b**3 - 6*b**4 - 128*b - 32 to the form i*b + r*b**2 + j*b**3 + x*b**4 + k and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130 times 0.1?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t + 0*t**2 + 0 + 4\/5*t**3.\nAnswer: 4*t**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/84*(57\/18 + -2). Factor 1\/4*r**4 - 1\/4*r**2 + 1\/4*r**3 + 0 - k*r.\nAnswer: r*(r - 1)*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26776 is divided by 2132.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -240199932, -480399869, -720599804, -960799737, -1200999668?\n\"Answer: b**2 - 240199940*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*c**3*p*z**2 - 2*c**3*p*z - 8*c**3*z + c**2*p*z - 24331*p*z**2 - 5*p - 655 wrt z.\nAnswer: -62*c**3*p - 48662*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1742312*y**2 + 1357715 wrt y.\nAnswer: 3484624*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 40 (c) -4 (d) -0.11 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*sqrt(19) + 0.\nAnswer: -6*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 122434*l. Let r(g) = 53*g. Calculate s(r(y)).\nAnswer: 6489002*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -175 + -ccfe?\nAnswer: -ce73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 184 + -187. Let w(l) = -3*l + 1. Let q(z) be the first derivative of -9*z**2\/2 + 2*z + 5. Determine b*q(t) + 8*w(t).\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1309881*w**2 - 1309881*w**2 + 30*w**3 - w.\nAnswer: 30*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.044\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11076 and 6403774?\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 48*s - 18427. Let w(p) = -2*p. Determine w(t(u)).\nAnswer: -96*u + 36854","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z**2 + 90*z - 1094. Give a(11).\nAnswer: -951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**2\/2 + 3*k - 1. Let x(m) be the third derivative of 182*m**2 + 0 + 0*m - 1\/30*m**5 + 0*m**4 + 0*m**3. Determine w(x(t)).\nAnswer: 2*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*v + 5, 0 = -0*w - 2*w + v. Suppose -m + 3 = -w. What is x in x**5 - 3*x**m + 2*x**2 + 3 - 3*x + 2*x**3 - 2 + 3 - 3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21148505*d**2*h**3 - 86*d**2*h**2 + 5344*d**2*h - d*h**2 wrt h.\nAnswer: 126891030*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + 103696\/18 + (-2)\/(-18).\nAnswer: 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -692\/5 - -138. Which is the nearest to h? (a) -5 (b) 1\/2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, r: 5, h: 7}. What is prob of picking 2 e, 1 r, and 1 h?\nAnswer: 245\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3992772013\/1136478 + -13\/162354. Let f = -3506 + y. What is the common denominator of f and -13\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-g + 5*g - 2*g)*(0 + 0 - 2) + (-6*g + g + 4*g)*(2 + 2 - 6))*(-2*g**2 + 8*g**2 - g**2)*(-4 - 2 - 1).\nAnswer: 70*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -21400000 to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 3*j + 2364 = -21*n, 5*j = 3*n - 1784. What is the highest common factor of 1071 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 3913.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 129979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - -1) + 171 + -128?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36315953 + -187092.\nAnswer: -36503045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2909600775.03005958 - 2909607642.03. Let q = c - -6867. Round q to 6 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1984638 at most as big as -1984638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 + 0 = 0. Let s = u + 3. Suppose 0 = -m - 2*c + s, 0*m - m + 3 = 3*c. Calculate the lowest common multiple of 4 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**4\/2 - 22*u**3 - 9717*u**2\/2 = 0.\nAnswer: -79, 0, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1*3 + (-5 - -25)\/(-5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45404 (base 8) to base 14.\nAnswer: -6dda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1528 (base 13) to base 9\nAnswer: -4187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-1 - 8) + -9 + 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1310021122 (base 4) to base 10.\nAnswer: -475738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d - 39. Let v be w(-8). What is the least common multiple of 10 + (0\/(-5) - 2)*v and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 + 141*a\/4.\nAnswer: a*(a + 141)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l - 3 + 59 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 509469, 1019386, 1529303, 2039220?\n\"Answer: 509917*w - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**3*n*n)*n**(9\/5)*n)\/(n*n*n*n\/(n\/((((n*n**(1\/8)\/n)\/n)\/n*n)\/n)))**(-4\/3) assuming n is positive.\nAnswer: n**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 9350615*x\/3 - 692638.\nAnswer: -(x + 1038957)*(9*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2176?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/3 - 334*m**3\/3 - 1769*m**2 + 25204*m\/3 - 26524\/3 = 0. Calculate m.\nAnswer: -19, 2, 349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 4*v + 11. Let s be w(-6). Let q be s\/4 + (-2)\/(-8). Is 2\/3 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - ((13 - 3) + 3)) + (0 - -2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Let j be 14\/4 - (-5)\/10. Suppose -k - j*k = -l - 23, 3*k = -o*l + 21. Solve 2*u = -l*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 21*g**2 + 20*g. What is the units digit of u(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.6673 rounded to the nearest integer?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 2*k + 4*w + 11, 5*k + 2*w - 321 = 0. Let f(m) = 4*m - 3. Let z be f(3). What is the greatest common divisor of z and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 10 - 4, -5*b = -h + 65. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - c - c - 4 - 2.\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 2*l - 104. Let h be 2\/(-8) + 1593\/36. Calculate the highest common divisor of h and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, g: 2, o: 2}. Give prob of picking 1 g, 2 o, and 1 l.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 6:32 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52596 divided by -17532?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 + 6*h + 4. Let a be y(5). Let m = a - -137. Is m a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67 - -65. Which is the closest to -1.9? (a) k (b) 1 (c) 4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-3*(-4)\/(-12))\/8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -207099.38 rounded to the nearest 100?\nAnswer: -207100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 962923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 3*s = 4*q + 219, -2*s = 3*q - 139. What is the greatest common factor of 225 and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, v: 5, m: 3, j: 3, g: 2}. Give prob of picking 2 j.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 5*c = -3*n - 10, 0 = 3*n - 5*c + 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31056 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(95) - (sqrt(95) + -1*sqrt(95) + sqrt(95)))*-3 - sqrt(95)) + sqrt(95)*2*5))\/((-2*(sqrt(605) - (3*sqrt(605) - sqrt(605))) + sqrt(605))*-4).\nAnswer: 3*sqrt(19)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46942 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48711653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2190.633ml?\nAnswer: 2.190633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9a1 - -75?\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4339*b**5 - 9*b**4 + 32*b**2 - 231*b - 3 wrt b.\nAnswer: 260340*b**2 - 216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 6*c**2 - 5*c - 3. Let q be u(-4). Let z = -33 + q. Put -2, z, 0 in increasing order.\nAnswer: -2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -96171 and 7.\nAnswer: -673197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(11\/6)\/(n**40\/n))**32)**50)**28 assuming n is positive.\nAnswer: n**(-4995200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*l**2 + 1638*l + 328.\nAnswer: -2*(l - 164)*(5*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -557, -2228, -5011, -8906?\n\"Answer: -556*d**2 - 3*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -n + 6878, 6888 = n + 28*h - 31*h. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -513, 0.5, 0.3, -3\/164?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 19*l**4\/2 + 2*l. Let f(y) = 22*y**2 + 36*y**2 - 24*y**2 - 22*y**2 - 16*y**2. Give f(c(m)).\nAnswer: -51984*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*t - 38. Let d(i) = -i**3 + 3*i**2 + 11*i - 2. Let f be d(t). Solve f*j + 0 = -12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53340930?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 0*u + u)*(4 - 1 - 1 - 1 - 4 + 3 + 2 + 3 - 4 + (-5 + 2 + 1)*(1 - 1 + 2) - 2 + 1 + 0 - 2 - 5 + 2) to the form i + w*u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 355 and 35.\nAnswer: 2485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (0 - 2) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 64\/5, 5, -3, 17?\nAnswer: 64\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350299701 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 132 + -181 + 126?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 4*a - 58. Let r be w(10). Let g(d) = 2*d**2 - 1 - 1 + r - d**2. Let l(b) = -113*b**2. What is g(l(q))?\nAnswer: 12769*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 3*b + 1. Let k be y(2). Suppose -4*v = -w - 121, -3*w = -k*v - 4*w + 89. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 26*c + 307 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.5665 - -1.5655. Let z = p - -7. Round z to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 4:12 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1885, -1894, -1905, -1918, -1933, -1950, -1969?\nAnswer: -1990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 731124 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/6 (b) -0.11 (c) 2\/21 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n**2 + 93*n + 135 = 0.\nAnswer: -5\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 32. Let d = -27.00091 + n. What is d rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 1. Let s be p(4). Suppose 1 = i + s. Calculate the least common multiple of (i + -2)*1\/(-2) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1788, -1813, -1864, -1953, -2092?\nAnswer: -2293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p = 35. Let b(z) = -z**3 - 7*z**2 - 6*z + 10. Let y be b(p). Let v(q) = -20*q - 23*q + y*q. Let h(s) = -s. Give v(h(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.808 + -0.308. Which is the nearest to -1? (a) 2\/9 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127.7046g to tonnes.\nAnswer: 0.0001277046","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 4177428 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -663 - -3975. Does 16 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 2. Let u be f(-2). Let j be 42\/(-11) + u\/(-22). Which is the second smallest value? (a) 4\/7 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 2757?\nAnswer: -2752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and 7?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4\/14 - (-5148)\/1386 and 114?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -5, 4, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*z - 2*g, 0 = -4*z - 4*g + 5*g + 15. Suppose 0*c = 3*c + 9. What is the remainder when ((-6)\/z)\/(c\/20) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 9. Suppose -28 = h + h + p*c, 4*h + 5*c = -62. What is the common denominator of ((-12)\/h)\/((-8)\/(-33)) and -5\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbggppjj. What is prob of picking 1 b and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*a + 14, 5*y - 540 = -5*a. Let n = y - 25. Is 45 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4100\/1435)\/((7\/35)\/(154\/4)). Calculate the greatest common divisor of 75 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*i = -37*i + 82*i + 157 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3718, 4, -0.3?\nAnswer: -3718","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (7 + -2 + 1 + (127 - 125))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, n: 6, h: 3, o: 5, s: 2}. Give prob of sequence snsz.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20123 and 153341.\nAnswer: 173464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 23*j**2 + 129*j + 8. Suppose 30 = 5*b + 5*v - 120, 0 = -5*b - v + 134. Calculate the remainder when a(14) is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 9. Let r(d) = d + 1. Let h be r(-3). Let v be h - (-4)\/((-12)\/(-21)). What is the biggest value in i, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 3. Calculate o(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, -2, -5325, 4.\nAnswer: -5325, -3, -2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -21. Let f(p) = -p**3 - 5*p**2 - p - 2. Let h be f(r). Suppose 3*d - 51 + 16 = m, 5*d = -2*m + h. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54423 is divided by 9065.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 928 and 34?\nAnswer: 15776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(12\/5))\/(6\/(-24)). Sort -8, 3, v, -4.\nAnswer: -8, -4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**3 + 7*k**2 + 4*k + 6. Let q(u) = -u**3 - u - 1. Let x(f) = 3*q(f) + y(f). What is x(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 73562 - 0?\nAnswer: 73562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 m, and 1 r when three letters picked without replacement from {x: 2, r: 9, u: 2, m: 6}.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91480?\nAnswer: 2, 5, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 173*g - 142. Let a(c) = -2*c**2. Give i(a(y)).\nAnswer: -346*y**2 - 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2190.\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccgc when four letters picked without replacement from ccgcgccccccccg.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udwwj. Give prob of sequence wdu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 10, -2\/749, -2\/5, 2\/11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -9.76. Let p = -4.76 - s. What is the closest to 0.1 in 3, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 - 2*f + f**2 + 2*f**2)*(-199 - 356 - 1043).\nAnswer: 1598*f**2 + 3196*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/2685 + 551\/5370. Sort -0.2, 1, y, -0.1, 0.04 in ascending order.\nAnswer: -0.2, -0.1, 0.04, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -25*h**2\/2 - 3*h + 1. Is q(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2 + 11*m + 41. Let t be s(-7). Are -232 and t nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/18*4\/13.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 10*w**2 - 3*w**2 - 4*w + 6*w + w**3 + 2. Let j be o(-7). Let h be j\/(-18) - 10\/6. Which is smaller: h or -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t + 3. Let x be 0*2\/4 + 9. Let i(u) = u - 1. Let n(a) = x*i(a) + 2*g(a). What is the derivative of n(k) wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 8724743640.\nAnswer: 8724743639.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -289045.291 to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 120 - a + 6*a**2 - 2*a**2.\nAnswer: -a**2 - a - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + p - 10 + 237 - 222 - 5.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwmwmswcwcwmsww. What is prob of picking 2 m and 2 c?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 14*v**2 + 1. What is the units digit of j(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -259, -255, -251, -247, -243, -239?\n\"Answer: 4*r - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37845)\/585 - -65 - 2\/((-78)\/(-2781))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94508939 + -94508857.000114. Let r = 74.8 + 7.2. Let g = r - i. Round g to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2938 and -1.01.\nAnswer: 2936.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q - 31*q + y - 89614 = 0, -q + 44817 = -2*y. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*l + 231 - 26, 0 = -2*l + 10. Calculate the remainder when 854 is divided by w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129317 or -1140?\nAnswer: -1140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3371 or 4260?\nAnswer: 4260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 9:09 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 25*c**2\/2 + 45. Let a(x) = -2*x**2. Calculate t(a(i)).\nAnswer: -50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 8. Let y be w(9). Let h(m) be the third derivative of m**6\/24 - m**4\/24 - m**3\/6 + 7*m**2. Give h(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13238, -10, -1 in descending order.\nAnswer: 13238, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004581 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 11*k**2 + 11*k + 10. Let y(h) = 2*h - 8. Let q be y(7). Suppose q = 3*v - 0*v. Calculate the least common multiple of a(10) and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291103.8 milliseconds in seconds?\nAnswer: 291.1038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*((-620)\/8)\/(-5). Let p = 36 + a. Suppose -p*h + 0*h + 145 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6ac3978 - -2?\nAnswer: 6ac397a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2 + 2 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9461338 = -3*d + 5*d. Let v = d - -14970669. Round v to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-49)*-6)\/(71\/1988).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 30333156 (base 7) to base 11\nAnswer: 147839a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 43.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 437097 and 98853.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -41 - 6. What is the third derivative of 439*t**4 - 222*t**4 - u*t**2 + 9*t**3 - 218*t**4 wrt t?\nAnswer: -24*t + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -13*b**3 - 123*b**2 + 483*b - 427. Let h(w) = -10*w**3 - 122*w**2 + 496*w - 428. Let o(a) = 5*h(a) - 4*r(a). Find l, given that o(l) = 0.\nAnswer: 1, 4, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6229206, -12458413, -18687620, -24916827, -31146034, -37375241?\nAnswer: -43604448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*g**3 - 7*g**3 + 3*g**2 - 10*g**3 wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdppppppddddd. What is prob of picking 1 p and 1 d?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-29)\/(-261))\/(4\/54). Let g = -0.7 - -1. Sort g, w, -2, 1.9.\nAnswer: -2, g, w, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(2\/29)*f*f\/f**(3\/13)*((f**(2\/21)\/f)\/f*f)\/((f**(1\/24)*f)\/f) assuming f is positive.\nAnswer: f**(39939\/21112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47788 = -4*u + a + 3*a + 47772, -a + 18 + 40 = -7*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26560 - 26551. Solve w*q - 52 = -16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 161, 241, 323, 407, 493?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 984 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -340761, -2726489, -9202027, -21812277, -42602141, -73616521?\nAnswer: -116900319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*6536733.\nAnswer: 104587728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6412504 and 117172.\nAnswer: 70537544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/128*11144\/(-41790)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72273*n**2 + 204*n.\nAnswer: -144546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 7241771?\nAnswer: -1\/7241771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.64 - 0.6. Let l = 0.26 + a. What is the second smallest value in -0.5, l, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*c + 21. Let n(p) = -p**2 - 8*p + 9. Suppose 0 = -k + t + 1, -82*k + 77*k + 32 = 4*t. Calculate the smallest common multiple of n(c) and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1343 and 48892.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171)*3 + sqrt(171))*-5 - (6*sqrt(171)*-1 - sqrt(171)))\/(-6*(sqrt(1089) + (sqrt(1089) + sqrt(1089)*-2*3 - sqrt(1089)) - sqrt(1089))).\nAnswer: 7*sqrt(19)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -28*p**5\/5 + 28232*p**4\/5 + 20188*p**3\/5 - 8072*p**2\/5 = 0.\nAnswer: -1, 0, 2\/7, 1009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 288*g - 14482 - 10368 = 54*g for g.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-5) + 3\/(-5). Suppose -a + m*a = 4. Sort 1, 2, a in descending order.\nAnswer: 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*m + 28*m - 238*m**2 - 233*m**2 + 470*m**2 + 224*m.\nAnswer: -m**2 + 441*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w - 28. Let d be o(6). Suppose d*k = -8 + 14. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 12*a + 20. Let f be r(11). Suppose 0 = -12*l + f*l + 156. Calculate the remainder when l is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*w + 230, -2*w + 0*w - 232 = 2*f. Let m = -118 - w. Let x(j) = -3*j**3 + 2*j**2 + 2*j + 1. What is x(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37339694552 - 37322689354.183. Let d = 17005216.817000671 - u. Let x = d + -19. What is x rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (132*f - f + 79*f)*(1 + 2*f**2 - 1) to the form j*f**3 + m + g*f**2 + u*f and give j.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (-8 + 9)*-15 - -3248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8510 + -8049. Solve z = 13*d + 422 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 195817959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65\/116 + 587\/116. Let i = 503\/28 - 110\/7. Let -1 - 3*w - i*w**4 + l*w**3 + 7\/4*w**2 = 0. What is w?\nAnswer: -2\/3, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((-5 + 5 + (sqrt(720)*-3 - sqrt(720)))*-1)**2 + -5 + -5)*1.\nAnswer: 11507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1296)\/(-810))\/(1\/(-5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 267552440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*k - 324 + 324)*(23 + 3 - 46).\nAnswer: 720*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6*27\/1. Let t = -17 - -4. Let a = l - t. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1.97, -0.4, 0, -0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.12 at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -13832 + -55\nAnswer: -13887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 25*a**2 + 2872*a - 232. What is y(-115)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**2. Let w(a) = -3*a + 6. Let h = 26 - 20. Let j(p) = -2*p + 5. Let b(y) = h*j(y) - 5*w(y). What is n(b(g))?\nAnswer: -63*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 331*p - 2334. Give g(7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 0*l - 3\/5*l**5 - 3 + 0*l**3 + 0*l**4 + 2*l**2. What is the second derivative of k(z) wrt z?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (-69 - -51) - (-2 - -26)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.97378 decades in millennia?\nAnswer: 0.4197378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 428077*g**2 + 287981*g.\nAnswer: 856154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4 = 2*d, -4*d - 16 = -5*s - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1735942571?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + (sqrt(1872) - (sqrt(1872)*-1 + 3)))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 254312147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17267 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*f - 18*f + 5*f to the form b + n*f and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.053 + -0.053. Suppose -3*r + 7*r + 744 = 0. Let n = r + 1672\/9. Which is the biggest value? (a) n (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5986 - 3?\nAnswer: -5989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*l = 26*l + 98*l - 708615. Does 45 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + -5. Let u = 19.7 + f. What is the fourth biggest value in 0.4, -8, 0, u?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 454077 to the nearest 1000.\nAnswer: 454000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57707 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i + 34. Calculate c(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from syyvtssveetssvyt. Give prob of sequence sve.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -4*f - 9*r, 2*r + 16 = 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -111, -108, -0.2, -4\/7, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 31 = -5*k - 6, -3*x = k - 11. Calculate the least common multiple of 163 and x.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 98218626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 659800840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000055109302 rounded to six dps?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 220 + 98. What is the remainder when i is divided by 34?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 5) + 128939556\/(-976). Let c = l + 132110. Let n = c - 3\/61. What is the nearest to 2 in -4, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -16. Let w = 25.7 - d. What is the nearest to -1 in 2, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 106*b**2 + 1329 - 1329 + (5*b**2 - 6 + 6)*(1 + 3 - 1).\nAnswer: 121*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 less than -10406947?\nAnswer: -10407114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -35?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*k = -16, -5*d + 7 = -2*k + 21 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 683 and 73?\nAnswer: 49859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -8017929 + 8017929 - 13570*s in the form x + d*s and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from {r: 1, b: 5, j: 7}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 is divided by 139?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -730762 and 5.\nAnswer: -3653810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2844 - -3233. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 3:55 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) 5 (c) -4 (d) 4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 66?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(136) + 6*(sqrt(136) + sqrt(136)*2 + sqrt(136)) - (-1*sqrt(136)*4 + sqrt(136) - sqrt(136)))\/(-1*-1*sqrt(8)*3) + 5)**2.\nAnswer: 290*sqrt(17)\/3 + 14477\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21551 divided by -6\nAnswer: -21551\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 0.8. Let w = 8.4 - 9. What is the fourth biggest value in 4, x, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*y - 3 = -4*l, 10 = -5*y. Let j(i) be the first derivative of -4\/15*i**l + 1\/10*i**4 - 1\/5*i**2 + 1 + 4\/5*i. What is m in j(m) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*l**5 - 3*l**4*t**2 + 3*l**4 + 55*l**2 + 2*t**2 wrt l?\nAnswer: -600*l**2 - 72*l*t**2 + 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 - 96 = -b. Let z = b - -63. Let g = 27 + -18. What is the greatest common divisor of g and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21491239, -2, 4.\nAnswer: -21491239, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 6. Suppose -q + 2 = 2*b. Let o be (-19)\/24 + 6\/9. Is o less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 + 51. Let f = -34 - g. What is the tens digit of 1\/((-1)\/f) - -31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 + 13*g**2 - 3*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 4:23 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 19787 and -42.0407037.\nAnswer: 19744.9592963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 + -0.5. Let y = -270 + 130. Let i = y - -142. Which is the third biggest value? (a) i (b) o (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 4*v + 4. Suppose 0*j = -5*j + 10. Let z(w) = j*w + 2*w - 3 + w**2 - 7*w. What is -3*c(m) - 4*z(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281931?\nAnswer: 3, 13, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2502 and 2016?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 9 + 10 - a - 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8376 - 8381. What is the second biggest value in 0, -0.5, g, 2\/3, -2.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 - 163396*n**2\/3 + 17159030*n\/9.\nAnswer: -2*n*(n - 35)*(n + 245129)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/24 + v**2 - v. Let m(y) be the first derivative of a(y). Let j(h) = -h. Calculate m(j(g)).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1325 - 725 = 5*g. Let a = -290 - g. Let t = a - 43. Is 38 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -26*a**2 + 56*a - 19. Calculate f(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -3\/16, -0.101?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -17 times -31792\nAnswer: 540464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 230 + -133. Suppose -z - 5*y - 8 = 0, 5*z = 3*y - 8*y - 80. Let a = h + z. What is a rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -m. Let r be ((-8)\/(-2) - 3)*m. Suppose r*z + 232 = 4*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1851, -3724, -5605, -7494, -9391, -11296, -13209?\nAnswer: -15130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, 14, 0.2, -0.01, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Find the common denominator of (-61*4\/(-8))\/n and 1850\/(-420) + (-1)\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2356, 4226, 6096, 7966, 9836, 11706?\n\"Answer: 1870*m + 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 4. Let r = 61 + -60.964. Let w = r + -0.536. What is the nearest to 1 in d, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, a: 1, y: 2, q: 1, b: 2}. What is prob of picking 1 y and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8856 + 8868. Let w(q) be the second derivative of 4\/3*q**3 + 0*q**2 + 0 - i*q. Let p(v) = 3*v. Calculate p(w(j)).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/78 and -41\/338.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -39*w**2 + 115*w - 1180. Let c be b(10). Which is greater: c or -3929?\nAnswer: -3929","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**8\/1344 + 11*r**7\/280 - 31*r**6\/160 + 91*r**5\/240 - 5*r**4\/16 - 463*r**2. Determine k, given that y(k) = 0.\nAnswer: 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3822237289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44280)\/(-328)*(3\/6)\/((-20)\/16)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in 3, 6\/5, 26, 0.3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*b + 544*b + 6 = -4*v + 273*b, -21*v - 2*b = -62 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2.2. Let o = -0.7 - -0.5. Let d = o + 1.2. What is the nearest to d in -0.4, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*t = 0. Suppose 5 = 5*k - 10. Let i be (0*(2 - k))\/(-2). Solve -5*o + i*o + 25 = t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388257?\nAnswer: 3, 129419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 908.9242g?\nAnswer: 908924200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 812*y**2 - 20250*y + 5039 + 1890*y**2 - 230*y**3 + 11836 + 898*y**2 + 5*y**4.\nAnswer: 5*(y - 15)**3*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**3 + s. Let x be i(1). Suppose 4 = 5*d - x. Is d greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 780 divided by -156.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5. Suppose 15*f - 14*f - 2 = m. Solve f*q = -b - b, 3*b = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -219*g**2 + 62*g + 3. Let u(z) = 44*z**2 - 13*z - 1. Calculate -6*q(v) - 29*u(v).\nAnswer: 38*v**2 + 5*v + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (18468\/(-14364))\/((-5)\/5)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 f when four letters picked without replacement from {z: 8, u: 2, f: 4, o: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2100212020100 (base 3) to base 8\nAnswer: 4627007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 69899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.042 + 1.042. What is the biggest value in -0.5, -7, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10}. Give prob of sequence bb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*2*6 + -5 + 6*(sqrt(245) + -2) + 1 + -5)*6)**2.\nAnswer: -190512*sqrt(5) + 2873556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - -0.3. Let b = 1 + -1. Suppose -9 = -b*h - 3*h. Sort f, 2\/7, h.\nAnswer: f, 2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 43 = -3*y + 3*p, -y - p = -7. Suppose -5*k - s - 4*s + 20 = 0, 2*k - 5*s - y = 0. Let t = k - 1. Solve b + t = 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {p: 2, q: 1, n: 2, z: 1, a: 1, x: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -9025856\nAnswer: -3\/9025856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -309499904 divided by 64\nAnswer: -4835936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25, 42, 83, 160, 285?\n\"Answer: 2*v**3 + 3*v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37595 - -19?\nAnswer: 37614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*m + 3*m - 450 = 0, 600 = 4*c + 5*m. Let h = c - 146. Suppose 2*w + 3*u - 3029 = 6*u, h*u = 2*w - 3034. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3391 or -3205?\nAnswer: -3391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -377*x + 378*x, -3*x = 3*f - 0*x - 3*x + 12*x + 21 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13114 + 13122. What is the closest to f in -5, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 2. Let j be w(2). Calculate the remainder when 8 is divided by (-20)\/j*(4 + 14\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyff when four letters picked without replacement from {y: 2, f: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1505107883 to the nearest integer?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q + 23. Let a be c(6). Suppose -273 = -3*w + a*r + 49, -2*w = 4*r - 178. Calculate the greatest common factor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -899 + 1265. Let u = 404 - o. Calculate the remainder when u is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 6 - (-31 - (-17 + -44))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 932 = -2*v, 3*v - 2*j = -j + 1400. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1109 - -1124. Solve -6*y - 9 = -w*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10098, 25659, 51586, 87873, 134514?\nAnswer: 191503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 1, -3, -309 in ascending order.\nAnswer: -309, -5, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87*q**4 - 2*q**3 + 166*q wrt q?\nAnswer: 1044*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 n, and 1 y when three letters picked without replacement from njfoojjfjyfooyofjf.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*r + 24, -3*b - 16 + 2 = -r. Let w be 5\/5*(r - 1). Which is smaller: w or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 60, 83, 106?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 2. Let k = -6 - -2. Let z be c(k). Suppose -z*r = -3*r + 2. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.288 and -67.\nAnswer: 86.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -6)*(2 - (-606)\/(-300)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 (base 6) in base 16?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 23. Let g = -23 - u. Let z = 6 - 1. What is the biggest value in z, g, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.052382122 to five decimal places.\nAnswer: -0.05238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 10 = 4*h, 2*h + 10 = 2*o + 7*h. Suppose o*d = -c + 18, 0 = -5*d + 4*c - c + 26. What is the remainder when 4 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - 459\/(-81)*(-1116)\/527?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 - -146. Let t = p - 74.1. Which is the second biggest value? (a) 1\/5 (b) -5 (c) t (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 7:52 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**2 + 2*g - 11. What is q(4)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.27 and -0.002.\nAnswer: -0.00254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(3 + -5 + 3). Suppose -5*a + z*a = -46. Find the common denominator of 67\/8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12.43122 and 0.0818.\nAnswer: 12.51302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454833501?\nAnswer: 3, 1291, 117437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 621212174 to the power of 1\/2, to the nearest integer?\nAnswer: 24924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 8:06 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 453*z**3 + 7*z**2 + 5*z + 100. Let y(h) = -227*h**3 - 3*h**2 - 2*h - 43. Determine 3*q(g) + 7*y(g).\nAnswer: -230*g**3 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48489?\nAnswer: 3, 7, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 3\/8 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4\/7 - 9342*i**3\/7 - 2682600*i**2\/7 - 264260000*i\/7 - 8742000000\/7 = 0. What is i?\nAnswer: -4371, -100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {m: 10, e: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(-1*sqrt(12)) - sqrt(343)*2) + 0 - 6*((sqrt(14)*-1)\/sqrt(2) - (-1 + sqrt(7))*3)**2.\nAnswer: -726 + 129*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -932190 plus -90?\nAnswer: -932280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 - 4 - 0\/(-2). Let s be (-168)\/78 - z\/(-26). Let f be 3 - s*22\/(-12). Sort -3, f, -2 in decreasing order.\nAnswer: f, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 2*j**2 - j + 1. Let h(k) = -k**3 - 2*k**2 + k - 2. Let b(n) = 3*h(n) + 4*q(n). Calculate b(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 120890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = -2*j, -11 = -2*t - 2*j + 7. Let g = -22\/5 + 28\/5. Put -2\/3, t, -0.3, g in descending order.\nAnswer: t, g, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 0*b - 3*b**2 - 1\/8*b**4 + 0 - 1\/6*b**3. Find the first derivative of i(a) wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + (-34317)\/(-513) - 26?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 - 82. Put 1\/5, b, 2\/9, -8\/5 in descending order.\nAnswer: b, 2\/9, 1\/5, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.437 - -4.437. Sort -5\/7, f, -7 in increasing order.\nAnswer: -7, -5\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449649.4 rounded to the nearest one hundred?\nAnswer: 449600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 1229*d**3\/3 + 29*d**2 + 13*d - 1645. Find the second derivative of y(r) wrt r.\nAnswer: 2458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5446665.4746 and 5?\nAnswer: 5446660.4746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -612 + 941. Let c(u) = 108*u - 1. Let g be c(-2). Let d = o + g. What is the remainder when d is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.15, -1\/147, -1, -2, 1\/4?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51949\/9036 + 2\/2259. What is the common denominator of n and (-2)\/3 + (-59)\/24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 1. Let d = -221 - -227. What is o(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/17))**(-17)*l**(2\/17)\/l**(5\/6) assuming l is positive.\nAnswer: l**(-1603\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23 and 78?\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -3*d**4 - d**3\/3 - d**2\/2 + 4. Suppose 7*m - 4 + 11 = 0. Determine r(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 0*i + 4*f - 13, -5*f = -3*i + 30. Suppose -2*k = k - i*b - 259, 4*b = 5*k - 410. What are the prime factors of k?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 q, and 1 s when three letters picked without replacement from {s: 7, u: 3, c: 1, q: 7, a: 1, m: 1}?\nAnswer: 49\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 3*h + 4. Let w be s(-4). Solve -3*u + w = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 14 - 14 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7515 + 7515.2. Which is the second biggest value? (a) n (b) -24 (c) -17\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - 6*y**2 - 3*y - 2. Let p be h(-4). Suppose -5*b + 296 = c - 68, -2*c = 5*b - 763. What is the greatest common factor of c and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1048 + -1018. Suppose -3*k + 12 = -48. Let b = k + w. Calculate the remainder when b is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/(-80) + (-2)\/((-80)\/250105). Calculate the greatest common factor of 37 and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - ab53?\nAnswer: -ab52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2. Let r be (-11)\/13 - 6\/39. Let m be 2*((3 - r) + -3). Let q be -2*6*m\/(-4). Let t(h) = -h**2. What is q*x(w) + 5*t(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6*-76733.48\nAnswer: 460400.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 826 - 814 = 4*k, -10 = -j - 3*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -30*t**2 - 6*t. Let o(w) = 2010*w**2 + 405*w. Suppose 39*r = -7*r + 92. Let a(h) = r*o(h) + 135*n(h). Let p(v) = -4*v**2. Determine p(a(j)).\nAnswer: -3600*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -11101010100110?\nAnswer: -11101010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 3 (b) 1\/6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -5, -3, 2 in decreasing order.\nAnswer: 5, 4, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10304\/(-1680) + 4\/30\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181264301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/10 of a kilogram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034243326 rounded to seven decimal places?\nAnswer: -0.0003424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 7*h. Suppose h = -5*q + 37 - 12. What is the smallest common multiple of 9 and (9 - (q - 2)) + 2?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*(10*h**3 - 9*h**3 - 4*h**3) + 0*h**3 + 5*h**3 - h**3.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4283864240 rounded to the nearest 100000?\nAnswer: 4283900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*a**2*m*v + 12130*a**2*m + 2*a**2*v - a**2 + 56*a*m*v - 2*a*m + 7*a*v + 2*m*v + 12*v + 5 wrt a.\nAnswer: -78*m*v + 24260*m + 4*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 7026 = -5*o + 6996, -o = -4*y for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22800 and 55.\nAnswer: 250800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 888\/(-2590)*13\/((-78)\/(-60)).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 109586, 109575, 109560, 109541, 109518, 109491?\n\"Answer: -2*j**2 - 5*j + 109593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 66*m - 31*m - 20*m + m**2 - 20*m + 22 - 14*m. Determine a(16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3\/4 (b) 2\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 10. Which is the nearest to 16? (a) w (b) -0.5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-8)\/108*3*(-20)\/(-10)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 2 + -56 + -7\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -854*w**3 - 51 - 36 + 2*w - 12 - 88 - 22 wrt w.\nAnswer: -5124*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 8*h - 401. List the prime factors of h.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l - 2*l + 0*l)*(-6*l - 5*l + 8*l)*(-183 + 1 + 8) as z*l + a + b*l**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 65593.8 - -42151.3929?\nAnswer: 107745.1929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2561349.\nAnswer: 3, 7, 23, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5 = 2*q + 10, 4 = 4*q + 89*j - 93*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*(33\/15 + 1). Let y = 45 + f. Suppose 8*k - 210 = -4*v + 6*k, 152 = 3*v - 4*k. What is the greatest common factor of y and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 141064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -24?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20de (base 16) in base 7?\nAnswer: -33350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9261 - -9345. Which is the third smallest value? (a) 4 (b) 3\/2 (c) 1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.36012 and -0.4.\nAnswer: -2.544048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*r - 14 = 0, 3*y - 8 - 5 = 4*r. Let j be 4\/(-2)*9\/6. Which is the nearest to y? (a) 3\/2 (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*v + 481, 3*v = -3*w + 373 - 88. Let r = v - 94. Solve -r*c = -0 + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -20. Let w = -20 + 60. Suppose 2*y - 6*y = 4*u - w, -u + 5*y - 8 = 0. Calculate the smallest common multiple of u and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.05, 14, 1\/3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 16*t + 12*t = 37, 2*f - 22 = 2*t. Suppose s - 14 = -2*s - 5*a, 3*a - 6 = -s. What is the remainder when f is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 257761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2515 - -1504?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 0 + 8 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 3 + 5)*(-4*p**2 + p**2 + 2*p**2).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o - 1. Solve -l + o*l = 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-210))\/((-12)\/(-16)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 - 20*j**2\/7 + 22*j\/7.\nAnswer: -2*j*(j - 1)*(j + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -c + 5*v - 4, -8 = 2*v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -0.28, -2, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3840) - ((sqrt(3840) - (4*(sqrt(3840) - (sqrt(3840) + 2*sqrt(3840)) - sqrt(3840)) - sqrt(3840))) + sqrt(3840)))\/(sqrt(300)*-1*-6).\nAnswer: -56*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**5 - 2*w**4 - 6*w**3 + 2*w**2. Let r(b) = 11*b + 2*b - 6*b - 6*b. Let l(p) = 2*g(p) + 4*r(p). Suppose l(m) = 0. Calculate m.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 179850 and 770?\nAnswer: 1258950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 2)\/(3\/21). Let k(y) = 4*y - 16. Let s(a) = 3*a - 13. Let j(c) = -5*k(c) + 6*s(c). Give j(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22220100011 - -12001?\nAnswer: 22220112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(11) + -1)**2 + sqrt(396)*1 + (-2*sqrt(88)*2)\/(sqrt(8) + 6*(sqrt(128) - sqrt(8))).\nAnswer: -12 + 148*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -6*t - 160. Let b = t - -60. Solve b = w - 5*h, -15 = -w + 3*h + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 231 = 4*d, -2*d - f - 168 = -5*d. Suppose d = 5*m - 28. What is the remainder when 48 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/11 and 82481224 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/3)\/(4\/(-8)). Solve -x*w - y - 8 = -3*y, 0 = -2*w - y - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r + 0*r - 5*r - 1.\nAnswer: 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 13\/4*i**3 + 3*i + 3\/20*i**5 - 9\/2*i**2 - 9\/8*i**4 - 7. Factor m(t).\nAnswer: 3*(t - 2)**2*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 + -1 + 2 + -25 + (50 - 28)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51.87 + 55.87. What is the nearest to 1 in -5, n, 3\/4, 0.01?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4968)\/18*(-1)\/2*7. Let l = -852 + w. What is the highest common divisor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 8*c**2 + c + 13. Suppose -4*p - 4*u - 51 = -u, -4*u = 4*p + 56. Is l(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 828744.758 to the nearest 10.\nAnswer: 828740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 10*l + 2. Let p be s(8). Let u = 18 + p. Solve -8*k = -u*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -0.2, 5463.\nAnswer: -4\/3, -0.2, 5463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-12) - (9 - 8))\/(1\/3). Sort -2, g, -38, -10.\nAnswer: -38, -10, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19053 is divided by 3174?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**3 + 2*c**2 + c + 1. Let n be v(3). Let o = n + 106. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 409429.64 rounded to the nearest 10000?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*sqrt(1900) + 1*sqrt(2736) + -2)**2.\nAnswer: 4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/40*(-108)\/12)\/((-480)\/(-100)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 190 + -186. Let x = -1 + 0. Put m, -1\/11, x in descending order.\nAnswer: m, -1\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1241411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.1 - 9. Let l be (26\/(-8) - -1) + 2. Do l and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1. Let u(g) = -10*g**2 - 3*g - 1. Determine u(s) - 3*v(s).\nAnswer: -10*s**2 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 16*c. Let l be t(-15). Suppose -5 = 5*v - l. Suppose -v*w = -2*z + 3*z - 161, -3*z = -5*w + 408. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1, 3.5, 6, 53, -3 in decreasing order.\nAnswer: 53, 6, 3.5, -0.2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6351978.\nAnswer: 2, 3, 1058663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from ssssbjmbbjls.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -49456 times -55?\nAnswer: 2720080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-125))\/((-3)\/(-5))*(-1)\/11\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174434, -697852, -1570206, -2791490, -4361698, -6280824, -8548862?\nAnswer: -11165806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-7) - (-14)\/(-2). Let v be (p - -8)\/(1\/(-145)). Let o = v + 78. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - c**2 - 2*c + (c**2 - 3*c**2 + 0*c**2)*(4 - 3 + 0) - 239*c**2 + 1464 - 1464 to the form a*c**2 + k*c + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 8, 1\/3, 2 in descending order.\nAnswer: 8, 2, 1\/3, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 76132?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73 and 7680330.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k. Let z(g) be the third derivative of -1\/60*g**5 + 2*g**2 + 0*g**3 + 0*g**4 + 0 + 0*g. What is z(l(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**3 - 24*i**2 - 160*i = 0.\nAnswer: -4, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/49*23 + 3. Which is the biggest value? (a) -3\/2 (b) o (c) -5 (d) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:37 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 410773.3mg in tonnes?\nAnswer: 0.0004107733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14763626.812 and -7.\nAnswer: 14763619.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 314 + -2140. Is d\/(-10) - 8\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 14 = -2*t + 2*d, -4*t - 16 = -4*d. Let g(s) = s**3 - 13*s**2 + 14*s - 7. Let z be g(12). Let i(n) = -35*n + 16*n + z*n. Give i(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 25 = 0, 0 = u - 2*a - 2*a - 20. Suppose l - 116 = -2*r, 3*l - 6*l = 0. Let p = r - 115\/2. Which is greater: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -6 + -4 + 16 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 4*o + 2*o**2)*(39*o - o + 0*o) - 3*o**2 + 3*o**2 + o**3.\nAnswer: 77*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 5, -29, 3, 88\/7, 1\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 5 + 95*g**2 - 31*g**2 - 66*g**2 - g**4 - 8*g in the form m + v*g**4 + r*g**3 + s*g + z*g**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -176*k + 1214. What is the thousands digit of t(-53)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 9. Let a(l) = l**2 + l - 2. Let x be a(z). Solve x = h - 2 + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109.8 + -109.8. What is the third smallest value in s, 7, 4\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-105)\/(-6)*4\/5. Suppose 4*g = -4*b + 328 + 124, 5*b = 2*g - 219. Calculate the highest common divisor of g and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*r + 33*r - 583*r + (2*r + 5*r - 5*r)*(-1 - 1 + 1) - 2*r + 4*r - 3*r + 5 + 13*r - 7 + 3 to the form g*r + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1\/8*-2*1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:39 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 274682557?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a + -3aa6?\nAnswer: -3b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 12421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1791)\/51 + 9516\/80886?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3)*(-c**2 - 2 + 2) + 2*c**2 + 2*c**2 - 2*c**2 + (7 - 7 - 4*c**2)*(5 - 2 - 1) to the form o*c**2 + f + d*c and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**2 + j + 1. Let x(n) = 8*n**2 - 10*n**2 + n**2 + n. Let p(f) = -165*f + 987. Let s be p(6). Determine s*x(m) + g(m).\nAnswer: -2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y + 6. Let w be o(-7). Suppose -w = -u - 4. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4320 divided by 108.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43934033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 12*q**5 + 399*q**4 - 3081*q**3 + 6297*q**2 - 2547*q - 1080 = 0?\nAnswer: -40, -1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 176*f**2 - 199*f**2 + 30*f**2 + 541*f + 293*f to the form u + t*f**2 + d*f and give d.\nAnswer: 834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 7:38 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (957\/783)\/(66\/(-36))*606\/4\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -23*v + 3. What is h(2)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 + 200. Suppose -3*h - n - 72 = -h, -h - 4*n - 43 = 0. Let k = h + r. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + 2*-6*(sqrt(1216)*1 - sqrt(152)\/sqrt(128)).\nAnswer: -93*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -46 = -365\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -11*r**2 + 0*r**3 + r**3 - 9 + 11*r + 5*r - 5*r. Let c be p(10). Find the second derivative of 11*w + 9*w**4 + c - 7*w**4 - 1 wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -341, -718, -1229, -1880, -2677, -3626?\nAnswer: -4733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30\/11 in -0.4, 70, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43788.7 weeks to seconds.\nAnswer: 26483405760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**5\/15 + 31*p**4\/4 + 128*p**3\/3 + 194*p**2\/3 + 2672. Factor j(m).\nAnswer: -m*(m - 97)*(m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 5*n**2 - 4*n + 3. Determine w(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129 + 132. Suppose -g*i - 92 - 4767 = -2*h, 3*h = -2*i + 7321. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35.7 + 36. Put v, 1, 0.2, 3\/7 in ascending order.\nAnswer: 0.2, v, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*0.28702.\nAnswer: -0.0057404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -121.85 and -0.3?\nAnswer: 36.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**4\/17 + 8084*j**3\/17 + 152974*j**2\/17 + 402364*j\/17 + 257472\/17 = 0.\nAnswer: -4023, -16, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.96 - 0.608004?\nAnswer: -129.568004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.36*-0.060456.\nAnswer: 0.02176416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 697\/30 - 229\/10. Which is the nearest to -6? (a) 0.1 (b) u (c) 0.033\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 9.6. Let m = 4 - f. Let y = -31.2 - -31. Which is the biggest value? (a) 3 (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -179*a - 31853. Give v(-178).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 737*l + 8677. Let u be r(-11). What is the greatest common factor of u and 300?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -35. Let h(x) be the second derivative of 0 + 8\/15*x**3 + 1\/6*x**4 + 1\/50*x**q - x + 4\/5*x**2. Let h(n) = 0. Calculate n.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 d, and 1 s when three letters picked without replacement from tppdbsb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 45200000 + -4 + 4. Round u to the nearest one million.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((5*-4*sqrt(288) - sqrt(288) - -1*(-1 + sqrt(288)))*6 + -4))**2.\nAnswer: 460800*sqrt(2) + 66356800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + sqrt(22)*-4*-1)\/(-5*sqrt(14)\/sqrt(7)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -949, -1916, -2881, -3844, -4805, -5764, -6721?\n\"Answer: k**2 - 970*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -11982\nAnswer: -1\/5991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(2) + sqrt(162))**2 + 4)*2 - (3 + (sqrt(98) + (-3*sqrt(98))**2 - sqrt(2)))).\nAnswer: -476 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2285360219.\nAnswer: 2285360219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65\/20*4*11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05163 minus 0.5?\nAnswer: -0.55163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - v + 6, -5*r + 6*v + 30 = v. Let x(j) = j**2 + 7*j - 8 + 0*j**2 + r. What is the units digit of x(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1616 and 1111?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 3*x. Let c be p(3). Suppose c = a - 2 + 13. What is the lowest common multiple of 10 and -2*4\/(4\/a)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 7*w**2 - 4*w + 2. What is the remainder when 119 is divided by n(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43560018 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/5 - 188*m**2\/5 + 1247*m.\nAnswer: m*(m - 145)*(m - 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3))**14\/((j\/(j\/j**(-6)))\/j*j**(1\/5)) assuming j is positive.\nAnswer: j**(-106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -0.3, -0.13, 3\/5 in ascending order.\nAnswer: -20, -0.3, -0.13, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 64462.735 rounded to the nearest 10?\nAnswer: 64460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 908962, 908964, 908966, 908968, 908970, 908972?\n\"Answer: 2*w + 908960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 35, -2.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*(20\/(-8) - -3)*(6 - 7). What is the closest to -2 in -114, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4354 and 156058?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/14 - 43\/42. Suppose 10*k = 5*k + 5. What is the closest to k in q, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-1)**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or -290\/23?\nAnswer: -290\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -44 + 15 + -1 - (-8 + -10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b - 6. Let w(n) = 7*n**2 - 12. Let j(r) = -36*r**2 + 63. Let d(z) = 4*j(z) + 21*w(z). Determine d(v(s)).\nAnswer: 48*s**2 - 144*s + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 477 + -117. Let u be (-6)\/(l\/(-76))*3*1. Which is smaller: 3 or u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2177117358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1459009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1 - 5*g - 4 + 0. Let h(a) = -3*a - 58. Let j be h(-18). Let s(n) = -n - 1. Let z = 5517 + -5516. What is j*s(c) + z*k(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 = 3*k. Suppose 72 = 4*x - 4*c, -2*c + 24 = k*x + 2*c. What is the lowest common multiple of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13960 + 13960.4. What is the nearest to 0 in g, 1\/6, 36?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2250)\/(-35) - 4\/14. What is the tens digit of (-10)\/(-15)*(r - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165 and 390?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + -6 - -19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from jigmajmijiz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*y**3 + 107478*y**2 - 4323418*y?\nAnswer: -120*y + 214956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 5.16618.\nAnswer: -5.83382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1467)\/(-3586))\/((-1)\/(-4)*-2).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/60 - 13*b**4\/24 + 10*b**3\/3 + 12*b**2. Let v be j(12). Calculate the remainder when (-1 - -11)\/(v\/20) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -5.7. Which is the third biggest value? (a) 2 (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 + 113 - 334 + 113 - 7*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 4*z**2 - 6*z + 3. Let y(h) = -3*h**3 - 7*h**2 + 11*h - 6. Suppose -5*f - 3*s + 41 = 0, -4*f + 8*f = 5*s + 18. Calculate f*q(j) + 4*y(j).\nAnswer: -5*j**3 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.026 + -63.974. Let a = -63.99999868 - q. What is a rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 3. Let f = 4 - 11. Let s be d(f). Suppose 5*i - 725 = -s*n, -i - n = 3*i - 591. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - 12*x - 16*x + 2*x as b*x + i and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016033411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 3:19 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1 + 1 - 2 + 2 + (-1 - 1 + 1)*(-3 - 7 + 1))*(0*h**3 + 5*h**3 - 4*h**3) + (-3*h - h + h)*(-4*h**2 + 0*h**2 + 6*h**2).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -8*k - 28 + 204, 5*k - 67 - 65 = 3*q for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or 302.6?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/39 and 218\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 14. Find the common denominator of 2 + 2\/12*46 and 2\/u + (-335)\/(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5483 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2158*t - 27 = -2167*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 490 - 492. Which is the closest to i? (a) 4 (b) 4.6 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 3*n + 1. Let f(l) = 2*l**3 - 4*l - 1. Give -4*f(r) - 5*s(r).\nAnswer: -3*r**3 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**2 - 17649*r - 443100 = 0?\nAnswer: -25, 5908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5 - 37332\/(-3660)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -171 + 271. Does 37 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 689710 divided by 826\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = 15*x + 25. Let h(q) = -2*q**2 - 39*q + 109. List the prime factors of h(x).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1854315 divided by 1\nAnswer: -1854315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -24. Let m(c) be the first derivative of c**3\/3 - c**2 + 83. Let t(v) = 4*v**2 - 11*v. Calculate i*m(y) - 2*t(y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -189 - -183. Let n(v) = 17 + 10*v**3 - 3*v**2 + 0 + 4*v**3 - 23*v. Let j(g) = -5*g**3 + g**2 + 8*g - 6. Calculate a*n(h) - 17*j(h).\nAnswer: h**3 + h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2288\/55*(-5)\/(-2) and ((-6)\/9)\/((-5)\/330)?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-21168)\/(-84))\/36)\/(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 3*g + 201 = 0. Suppose 2*z = -7 + g. Solve 2*h - 3*h - 4*q + 23 = 0, z = 5*h + 3*q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -dddd (base 15) to base 8\nAnswer: -133640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i*i*i\/(i\/(i\/(i\/i**(2\/15))))*i)*i*(i\/(i**(-7)\/i*i)*i*i)\/i*i**(-9)*((i**(5\/2)\/i)\/i)\/i*((i**(-3\/7)*i)**(-1\/2))**(-11) assuming i is positive.\nAnswer: i**(107\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-18)*r\/(r\/(r*r**4*r)*r) assuming r is positive.\nAnswer: r**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + q + 12. Let d be j(4). What is the remainder when 168\/4 + (-16)\/d is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39418309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/4)\/(-3*(-26)\/((-2496)\/80))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78070367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8361, 33453, 75287, 133875, 209229, 301361, 410283, 536007?\nAnswer: 678545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 2) + (-3 - -5) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 43. Let f(s) = s**3 - 5*s**2 + 1. Let v be f(4). Does 4 divide i\/v + 14 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = -i. Let y(a) = a**3 + 2*a**2 - 2*a + 1. Is y(i) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 195\/12 + 2\/(-8). Let k be (3\/2)\/(3\/a). Suppose -k = -g - 3. Solve p = -4*p + g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y + 2*y**2 + 3*y - 2 + 2. What is the smallest common multiple of 12 and l(-2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, a: 5, j: 4}. Give prob of sequence aaj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51672 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.49 - 0.5. Let h = j - 0.02. Round h to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -5 (c) -4 (d) -1 (e) -2\/41 (f) -119.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**3 + t**2 + t - 2. What is v(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1076816154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/(-3))\/((-4)\/(-6)). Let l = u + -6. Solve 0*a = l*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17394, -69583, -156570, -278355, -434938?\n\"Answer: -17399*g**2 + 8*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, y: 4, i: 7}. Give prob of picking 2 i and 2 x.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46789, 374210, 1262941, 2993638, 5846957, 10103554?\n\"Answer: 46776*n**3 - n**2 - 8*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1194*i - 154366 + 25202 = -342*i + 8374*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -1 + 228 + -318 + 5 + 38\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -57*r**5 - 13062*r**4 + 472236*r**3 - 386298*r**2 - 72819*r = 0.\nAnswer: -261, -3\/19, 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*q + 5*k, -2*q - 10 = -4*q - k. Suppose -2*j**4 + q*j + j - 2*j**3 + 2*j**2 - 3*j = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2538523?\nAnswer: 13, 195271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 26 - -2 - 2. Let a be (-28)\/(-12) - (-100)\/6. Suppose -a - s = -2*m. What is the smallest common multiple of m and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57\/497 + 2\/71. Let m = -146 - -147.7. Let q = 0.3 + m. What is the closest to f in -0.4, q, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 18. Let k be m(-8). Suppose k = -s + 30. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 1. Let d be j(1). Let o(g) = -g**3 + 5*g**2 - 3*g - 4. Let p be o(4). Let c = 99 + -104. What is the closest to 1 in p, d, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 o when three letters picked without replacement from {o: 6, r: 1, f: 11}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 219 = -862. Let d = -228 - b. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -463 + -891678.\nAnswer: -892141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169\/28 + 44\/7. Let d(z) be the second derivative of -q*z**2 - 7\/24*z**3 + 0 - 1\/40*z**5 + 1\/168*z**7 - 1\/6*z**4 + 4*z + 1\/60*z**6. Factor d(c).\nAnswer: (c - 2)*(c + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45169*d**2 - 2152*d*y + 659328713*y wrt d?\nAnswer: -90338*d - 2152*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1495 and -30*7\/98*-1*24\/20?\nAnswer: 10465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/((-21)\/12) - -34. What is the greatest common divisor of d and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 20 - 10606 = 0. Is ((-3)\/(-1))\/6 + b\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.44 - 0.64. What is the closest to 0 in 2, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7873523ml to litres.\nAnswer: 0.0007873523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 7*w**2 - 8*w + 2. Let q be d(-8). Put q, 3, -1 in decreasing order.\nAnswer: 3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5663066964 - -5663067018.00000099. Let y = 1662 - 1716. Let f = d + y. Round f to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25909, 25910, 25911, 25912, 25913?\n\"Answer: m + 25908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 16, p: 4}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2 - 29*v + 3. Let q be m(-5). Calculate the highest common divisor of q and 13512.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-4) + 1)*(3 - 1). Let q be 6*(x - 11\/(-3)). Solve d + 16 = -4*w, q*d - w = -3*w - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(-4))\/3*1. Let j = 1 - 8. Sort u, j, -1\/3 in decreasing order.\nAnswer: u, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8)*80\/100. Let k = 0.2 + -0.4. Let n = 515 + -515. Which is the nearest to 1\/4? (a) n (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2. Let m(y) be the third derivative of -y**5\/5 + y**3\/3 - 29*y**2 - 2*y. Determine n(m(i)).\nAnswer: -288*i**4 + 96*i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*o + 18. Suppose g = -g + o. What is the highest common divisor of 64 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1660256, 3320585, 4980902, 6641201, 8301476, 9961721, 11621930, 13282097?\nAnswer: 14942216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 8:30 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 82182cc - 2?\nAnswer: 82182ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t + 7 - 7 + (-2*t - 5*t + 2*t)*(2 - 3 - 4).\nAnswer: 29*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 10 - 66 = -2*k, 16 = 4*k. Suppose -o*j + 20 = -7*j. Let q(s) = 6*s**2 - 4*s. Let g be q(j). Calculate the greatest common divisor of g and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352*g + 14403 + 17499 = -14210. Solve 0 = 32*v - g - 125 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/2, -4, 2\/21, 1\/79, 143305, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2. Let x(o) = -2*o + 3*o**2 - 2 + 2*o + 0*o. Let w(h) = h**2 - 1. Let b(f) = -2*w(f) + x(f). Calculate n(b(v)).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s - 123. Let w(i) = -i + 1. Let a(k) = -j(k) - 4*w(k). List the prime factors of a(23).\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - c - 1. Let n(q) = 146*q**3 - 292*q**2 + 292*q + 292. Give n(t) + 292*w(t).\nAnswer: 146*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183204?\nAnswer: 2, 3, 7, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31110557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 12. Let l = v + -9. Which is smaller: l or 0.07?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2. Let o(x) be the second derivative of 0 + 1\/3*x**3 + 0*x**2 + 3*x. Determine g(o(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 96392280.3 to the nearest ten thousand.\nAnswer: 96390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120121110020 (base 3) to base 12.\nAnswer: 345420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00685017 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 336, -17, -4, 13, 2.\nAnswer: -17, -12, -4, 2, 13, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.035, -1, 3379, -27?\nAnswer: 3379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-15))\/((-15)\/(-10)). What is the second biggest value in -28, d, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 258, 534, 810, 1086, 1362?\nAnswer: 1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*u - u - 414 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*(sqrt(208) - (-4 + -2*sqrt(208) + sqrt(208)))*-3)**2 + 0 + 4.\nAnswer: 2304*sqrt(13) + 30529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, r: 1, x: 1, u: 6, k: 6}. What is prob of picking 1 u, 1 r, and 1 k?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 78 = -v + 2*r, v = -4*r - 26. Let d be (33\/(-6))\/((-4)\/(-40)). Let w = v - d. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, e: 1, h: 7, q: 1}. Give prob of picking 1 q and 1 e.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*g = 79 + 49. Suppose -g*h - 20 = 3*h, 19826 = 2*j + 5*h. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 4. Let u(y) = -2*y + 3. Suppose -21 = -0*j - 3*j + 3*t, -2*j = -t - 16. Suppose -z - 3 = -4*o - j, -6 = 3*z. Give o*s(v) + 3*u(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300818 is divided by 676?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 89632927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*-4.145\nAnswer: -12.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 8:24 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34650572.\nAnswer: 2, 11, 787513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 - 14*h**2 + 2*h + 4. Let l be y(-5). Suppose -b = 41 - 239. Let c = b - l. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1898 less than 8116?\nAnswer: 10014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 33503?\nAnswer: 33505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 y, and 1 z when three letters picked without replacement from bhzyrrrrbhrr?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 7\/57 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39231 is divided by 176.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -0.2 (b) -4456 (c) -6\/11 (d) -0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.15324 nanograms in tonnes?\nAnswer: 0.00000000000008315324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 378370 + -1?\nAnswer: 378369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 663031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**4 - 25*m**3 + 110*m**2 + 280*m = 0. Calculate m.\nAnswer: -7, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - y**3 + 0)*(-9 + 0 + 2)*(702 - 647 - 548) in the form j*y**2 + w*y**3 + i + n*y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -59 and -0.7109.\nAnswer: -59.7109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237 by 3.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 + -2.3597680739.\nAnswer: -2.4197680739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*d + c + 34037, -d - 6*c = -34016. List the prime factors of d.\nAnswer: 2, 7, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 20 = -22. Suppose j*h - 385 = 69. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z. Let l be b(4). Let g = l - -20. Suppose 12 = -s + 5*s. Solve 0*k + s*k - g = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + a - 1. Let y(l) = 47*l**2 + 2*l - 51. Let t(v) = 2*j(v) - y(v). What is the first derivative of t(d) wrt d?\nAnswer: -90*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -146, -123, -70, 25, 174, 389?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 171*h - 62 - 379 - 521*h + 174*h + 177*h in the form d*h + j and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 171*m - 1. Let x be a(1). Suppose -2*s - j + 259 = 0, -s + x = -j + 48. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 279 = 50. What is the remainder when x is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19906, 18806, 16966, 14386?\n\"Answer: -370*w**2 + 10*w + 20266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1849*r = 1807*r + 168 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 549609*s + 1099206.\nAnswer: 3*(s + 2)*(s + 183201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i = -12. Let x(h) be the first derivative of -h**4\/24 + h**3\/3 - 25*h**2 + 6. Let p(y) be the second derivative of x(y). Give p(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 0 = -3*k + 2, 4*k = 4*v - 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, c: 1, x: 2, h: 1, e: 1, i: 1}. What is prob of picking 1 c and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**4\/12 - 4*k**3\/3 + 10*k**2 + 240*k. What is c(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1 (b) 0.4 (c) -23 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 24. Let m be z(16). Let s be (6\/m)\/((-38)\/(-16) + -2). Solve 3*y = s*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14375926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -312*c - 524. What is the tens digit of p(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrtr when four letters picked without replacement from ttlltrtlrrllrlt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 62*w**2 - 755*w + 1337. Let x(j) = 5*j**2 - 63*j + 112. Let n(q) = 6*f(q) - 75*x(q). Factor n(y).\nAnswer: -3*(y - 63)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*l**5 + 59*l**4 - 141*l**3 + 1755*l**2 + 2*l + 42 wrt l?\nAnswer: -2160*l**2 + 1416*l - 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-286)\/52*(40\/880 - 3\/2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10278\/5710)\/((-3)\/10*-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -26 (b) 5 (c) -4 (d) -25 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/2309 and 36\/5.\nAnswer: 11545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -1, 355.\nAnswer: -1, -2\/19, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-9))\/(((-6)\/2)\/(216\/(-16)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/618856 and -5\/15559808.\nAnswer: 108918656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**5\/30 - z**4\/4 - 5*z**3\/6 - 2*z**2 + 3*z. Let x(g) be the first derivative of m(g). Is x(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/13)\/(3860\/(-5018))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 13) to base 3\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 11*i - 2. Let x be s(-9). Suppose -15*q + x = -7*q. What is the highest common factor of 32 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - (37 - 48) - (-15 + 47).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = g, -7 - 4 = -2*q + g. Let z(w) = -q*w**2 - 17*w**2 + 28*w**2. Let v(l) = 4 + 14*l - 4*l - 4. Give z(v(m)).\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1961080*v + 23704604 wrt v?\nAnswer: 1961080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 5*v**2 - 11*v + 46. Let t be s(3). Which is the third biggest value? (a) 5\/2 (b) 0.6 (c) t (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 13*r - 4. Let v(a) = -3*a**2 - 38*a - 12. Let t(l) = -17*g(l) + 6*v(l). Let y be t(-5). Is 3 a factor of y - (4\/2 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7993785 is divided by 84145.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*z - 896*z = 4068. Let u = -7\/20 + 3\/5. Let o = 2.6 - 3. Sort o, z, u in decreasing order.\nAnswer: u, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - -0.3. Let i = 0.68 - 0.08. Let w = i - 0.7. Which is the nearest to w? (a) 1\/6 (b) d (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5\/2 + 1883*l**4\/6 - 4593*l**3 + 15434*l**2\/3 + 5564*l = 0 for l.\nAnswer: -642, -2\/3, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 52.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 585 - 579. Let z = 29 - 146\/5. Which is the second biggest value? (a) r (b) -0.1 (c) z (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g + 12*g + 16*g to h*g + b and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - (0 + -4)) + -43. Let i = 258 + s. Suppose 3*q - i = 3*v, -2*q = 2*v - 59 - 67. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 10*n + 27. What is the smallest common multiple of 28 and u(-8)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 3*o - 2. Let w be l(-2). Let x = w + 12. Let a(s) = s + 4. What is the remainder when x is divided by a(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*n - 60*n + 24*n**2 - 5*n**2 in the form y + c*n + b*n**2 and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5 = 0, -5 = -5*b + 3*n - 8*n. Which is smaller: b or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2468, 4277, 6086?\nAnswer: 7895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = -3*f. Suppose 4*v + 0*r + r = -15, -2*v - 5*r + 15 = f. Let x(l) = -2*l**2 - 5*l - 6. What is x(v)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 146 - 72 - 2*f - 77. Give r(12).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyysyryysdrdylslry. Give prob of sequence dryl.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -102d (base 15) to base 9\nAnswer: -4617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yos. Give prob of sequence sy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence figi when four letters picked without replacement from giiiifgififig.\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i + 1 + 5 - 6.\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -2. Let u = 82 - 14. Let n = u - 63. Solve -3*b - 4 = n*a - 6*b, v*a + 9 = 4*b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/685 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 0*i**2 + 0*i**2 - 21 + 20. Suppose -16 = -4*g - 4. Calculate u(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 279 - 827. Let q = j + -95. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, z: 1, i: 2}. What is prob of sequence ztt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvvhvhhxphvhxxhxxtht. What is prob of sequence hvxx?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 1320388770*o - 145285541995176075.\nAnswer: -3*(o + 220064795)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuutuuunntttuu. What is prob of sequence nnt?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 20 = -4*h, -5*h = 3*d - 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9065 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**6\/30 + 551*a**5\/20 - 8418*a**4 + 3063968*a**3\/3 + 3114752*a**2 + 10*a - 6. Factor v(p).\nAnswer: -(p - 184)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6034 + -6032. Let 0 + 0*n**s + 0*n**3 + 3\/8*n**4 + 0*n = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r - 96 = -4*h + 12, -2*r = 4*h + 6 - 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 11:42 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 37*f**2 - 7*f + 147. Let c(a) = 11*a**2 - 2*a + 49. What is 7*c(d) - 2*o(d)?\nAnswer: 3*d**2 + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 91 = -3661. What are the prime factors of j?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1938*h + 11998 + 15134 = 0 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 13. What is the lowest common multiple of (132\/(-3))\/(-2)*(-18 - -19) and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*k**2 - 7*k**3 + 5*k**3 - 178*k**2.\nAnswer: -2*k**3 - 132*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-18))\/(38\/684)*2\/51?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*d + 21*d + 13*d to y*d + m and give y.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -12. Let t be (-12)\/(-6) + f*19. Suppose t = 5*l - 2*l. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w = -23*w - 6. Suppose -m + 8 = 4*l, -w*m = 3*l - 3*m - 13. Solve -2*x = -l*g + 2*x + 21, 3*g - 24 = 5*x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**21\/(q**0)**(-26))\/(q**4*q**(-1\/6))**(2\/179) assuming q is positive.\nAnswer: q**(-11300\/537)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 10 + 1, 0 = 5*b + d + 213. Let f = -38 - b. Put f, 0, -3 in ascending order.\nAnswer: -3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 13*k**2 - 5. Let a be p(-13). Let b be (1 + 4)*12\/a. Let f be 6\/2*(-20)\/b. Solve -2*v = 3*v - t - 11, -f*t + 20 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2711, -5424, -8137, -10850, -13563, -16276?\n\"Answer: -2713*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**2 - 1353750*g - 39262955 = 0.\nAnswer: -29, 270779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 153641036*k**2*u**2 - 4*k*u**2 + k*u - 4*k - 2*u**2 + 5208*u - 15 wrt k?\nAnswer: 307282072*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -5*x + 41, -13 = -272*t + 273*t - 2*x for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -0.251?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.137 - 0.637. Which is the fourth smallest value? (a) m (b) 0 (c) 14 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v + 2. Which is the closest to 1? (a) v (b) 0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -5\/4 (c) 2\/721 (d) -1 (e) -57\/7 (f) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -59950, -63, 3 in descending order.\nAnswer: 3, -1, -2, -63, -59950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 - -1 - 7) - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24763217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 5*d**2 + 4*d + 2. Let o(r) be the second derivative of r**5\/10 - 3*r**4\/4 - 7*r**3\/6 - 3*r**2\/2 + 90*r - 3. What is 4*o(j) + 7*q(j)?\nAnswer: j**3 - j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -373, -446, -529, -628, -749?\n\"Answer: -d**3 + d**2 - 69*d - 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.441748g?\nAnswer: 8441748000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -107, -163, -219, -275?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 21 + -5 - (10 - -4 - -14 - 48)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9851? (a) -0.5 (b) 2\/5 (c) 37 (d) 5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t**(-1\/10)*(t\/((((t*t**(-20)\/t)\/t)\/t)\/t))\/t)\/(t**3)**(2\/21) assuming t is positive.\nAnswer: t**(1793\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 65\/2. Let a be (2 - 1)\/((-8)\/6). What is the nearest to -7 in 0.2, a, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101278 is divided by 50637.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 70*j = -80*j + 78, 4*u - 4 = -j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408246449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.0026*1.17.\nAnswer: -1.173042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12330201.\nAnswer: 3, 13, 467, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 72482873 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/12 - (-10)\/3. Suppose -3*c - 7 = -1, 0 = l*t + 5*c + 10. Let j be 36\/(-24)*1\/(-93)*4. Which is bigger: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -7. Suppose -2*m + 34 + n = 0. Suppose -6*z = -10 - 86. Calculate the smallest common multiple of z and m.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 293043.\nAnswer: -1\/293043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7\/3)\/(y**(4\/5)*y))**(7\/2)\/((y**(-1\/3))**(-1\/36)*(y*y*y**1)**24) assuming y is positive.\nAnswer: y**(-46697\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5\/2, -19, 2\/11, -16\/17 in increasing order.\nAnswer: -19, -16\/17, 2\/11, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 19630427 - 19630427.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1729 (base 15) in base 11?\nAnswer: 3826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -15, -23, -31?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.25550281 and -1965.\nAnswer: -1964.74449719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -245\/331?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.81? (a) 3 (b) 0 (c) 0.4 (d) 4\/7 (e) 5\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, 0 in decreasing order.\nAnswer: 0, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-43)*(5\/6)\/5)\/((-2529)\/(-22761))?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 + 10100000?\nAnswer: 10101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (6 - 1) - 5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 247856801 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**3 - 64851*a**2 - 2199633*a + 39561639 = 0.\nAnswer: -21583, -47, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15398, -15367, -15316, -15245, -15154?\nAnswer: -15043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 605 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p + 35. Suppose 3*i - 6*i - b = -p, -b - 49 = -4*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25630 = 25630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*f + 29572 = 0, -2*f = -f + 2. Suppose -9*y + m = 33. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8564405 to two dps.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1573) - sqrt(1573)) + -4 - sqrt(1573) - (sqrt(1573) + -2)*-4)**2 - ((-3*(0 + sqrt(1573)))**2 + 2 + 2).\nAnswer: -12444 + 264*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c + 2. Let y be h(-3). Let a be 1 + 1 + -3 + 3. Suppose -105 = -a*x - 35. What is the greatest common factor of y and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2293 = 36*c - 16117. What is the remainder when c is divided by 146?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11012 divided by -4?\nAnswer: -2753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-324)\/(-9)*(-2)\/(-6). Find the common denominator of 297\/w*(-4)\/10 and 3\/(-4)*(-19)\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/13 + 2203714*g\/13 + 508548 = 0 for g.\nAnswer: -1101854, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 - -64. Suppose 6*s - 4*s = 8. Suppose 4*m + 16 = 0, -2*h + s*m + 546 = x*h. List the prime factors of h.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 681.8663175 + -58.\nAnswer: 623.8663175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*h - 29*h**4 + 97*h**3 - 97*h**3 wrt h.\nAnswer: -348*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - n**2 - 17*n + 3. Let z be r(0). Is 0.066 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 339, -2\/13, 5, 0.06 in decreasing order.\nAnswer: 339, 5, 1, 0.06, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*i + 28*i - 28*i)*(2 - 2 - 2*i) + 47*i**2 - 56*i**2 - 61*i**2 in the form w + j*i + f*i**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*w - 1 + 298*w + 160*w - 824*w + 143*w.\nAnswer: -64*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**8\/3360 - x**7\/840 + x**5\/120 - x**4\/48 + 2*x**3\/3 + 3. Let w(h) be the third derivative of n(h). Factor w(q).\nAnswer: (q - 1)**3*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*f - 5*f**3 - f**2 + 2*f**2 + 0*f**2 + 26*f wrt f.\nAnswer: -30*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 2*n + 40, -3*l + 515 - 510 = n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - l + 6*l - 5 + 5 - 1. What is the tens digit of q(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhfffhhfhhfnhhnh. What is prob of picking 3 f?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/7 and 19\/43954932?\nAnswer: 43954932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-16)\/(-12)*24\/128*8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -507 + 504. Let s be -1*(9 + d + -1). Let p be 1\/((-4)\/2)*-4. Sort p, -4, 4, s in increasing order.\nAnswer: s, -4, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79094689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 811195 and -4.\nAnswer: -3244780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.85 + -7.85. Which is the closest to 0.2? (a) i (b) -1 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-2)\/(12\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 (base 3) in base 11?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 252227?\nAnswer: 756681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -24, 4, 5, -2 in descending order.\nAnswer: 5, 4, -2, -10, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 751036, 1502073, 2253110?\n\"Answer: 751037*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a decade?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2*a - 3 + 11 = 0, 4*g = 5*a - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14016?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27572, -27558, -27544, -27530?\n\"Answer: 14*i - 27586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 1. Let g(t) = t**2 - 9*t + 4. Calculate -5*b(h) + g(h).\nAnswer: h**2 - 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149807078 and 8?\nAnswer: 599228312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-63)\/(-66))\/(3\/17). Let x = 5 - c. What is the common denominator of 31 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1123120 (base 4) to base 3\nAnswer: -22000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j - 3. Let f = 33.04 - 33.14. Which is the nearest to -1? (a) 0.2 (b) f (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**5\/120 + 23*d**4\/24 + 17*d**3\/6 + 13*d**2. Let v(q) be the first derivative of o(q). List the prime factors of v(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t. Let g(a) = 9*a**2 - 2. Let m(f) be the third derivative of 23*f**5\/30 - 11*f**3\/6 + 3*f**2. Let r(v) = 11*g(v) - 2*m(v). Determine x(r(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100839 or -175?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + (3 - 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.114, 4, 5\/29, -0.32, 12 in descending order.\nAnswer: 12, 4, 5\/29, 0.114, -0.32, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101 - 157. Let r = 55.99999968 + d. Round r to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**2\/2 + 9*r + 5586. Let m(v) = v + 10. Determine 6*m(c) - 5*o(c).\nAnswer: c + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 41485b1?\nAnswer: 41485ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219 divided by -1101449.\nAnswer: 219\/1101449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 2*z + 0*z)*(-3 + 5 - 4) - 310*z - 8397 + 8397.\nAnswer: -306*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29507\/6 - -9839\/2. What is the closest to l in -6\/7, -1, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 62896, 126861, 190826, 254791?\n\"Answer: 63965*k - 1069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -791 (c) -0.3 (d) 2\/19 (e) -5 (f) 5 (g) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)*(x*x**(-2\/11))\/x)\/(x\/x**(-3\/7))**(-40) assuming x is positive.\nAnswer: x**(4001\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21904506 divided by -7301502.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 9*x - 3. Let h be m(8). Suppose h*c = 3*c. Suppose 3*k + 3 = 4*k. Solve 2*n + k*o + 6 = -c*o, -n - 3 = -2*o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/2 (b) 0 (c) -1 (d) -373 (e) -0.1 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.68 - 12.12. Round v to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10000021 + 20120?\nAnswer: 10020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 8:56 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 1\/4 (c) -1\/4 (d) -5\/6 (e) 767 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18240\/912 + (-9)\/2 + 3\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9010*t**3 - 18*t**2 - 5*t - 2. List the prime factors of s(-1).\nAnswer: 5, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*k + 38495 = -67840. What are the prime factors of k?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 15. Let o = -7 + w. Let s be (-13)\/(-4) + 1\/(-4). What is the second biggest value in 4, o, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -10.6 (b) -64 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 70.51871t?\nAnswer: 70518710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 4. Let t(d) = a*d - 2 - d + 0. What is the units digit of t(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15928879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 14*z + 1. Suppose 0 = -268*c - 340*c + 1824. Let a(o) = -2*o**2 + 13*o - 1. Calculate c*a(u) + 2*t(u).\nAnswer: -2*u**2 + 11*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 199289778.08\nAnswer: 199289778.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 + 19*f**2 + 125*f + 18. Let a be y(-7). Is 760 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 3, -1, -0.054?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77.45 + -56.3. Let l = -16.8 + f. Let g = 0.35 - l. Sort g, 3, 1\/4, 1.\nAnswer: g, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -451 - 6962. Let t be s\/14*((-4)\/3)\/2. Suppose 2*b - t = 309. Does 24 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 245487*o - 1718346. Calculate c(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40624343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/((-9)\/24 - 0). Let z = 43 - k. What is the biggest value in z, 0.2, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2328\/7 - -2294\/7. Which is the nearest to 0.2? (a) 0.1 (b) r (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -205 + 218. Suppose -s*h + 5*h + 24 = 0. Put -4, -15, h in decreasing order.\nAnswer: h, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 5*z**4\/12 + z**2. Let t be u(3). Calculate the highest common factor of 20 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 123 - 207. Calculate the remainder when j + (-5)\/((-15)\/12) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 104 = -4*z, -z - 109 = -6*z + l. Let b = z - 17. Put -22, 5, b in increasing order.\nAnswer: -22, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 2*b - 6 + 2, 10 = -3*k + 5*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -34*u**2. Let l(n) = -13*n**2. Let f(w) = 84*w**2. Let y(c) = 5*f(c) + 32*l(c). Give y(o(k)).\nAnswer: 4624*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1322350 (base 7) to base 5.\nAnswer: 21024430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ici when three letters picked without replacement from {i: 2, c: 2, q: 1, p: 1, k: 2, m: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-5 + 2) - 6\/(-4). Is 1\/13 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5945473019 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -16*l + 4. Let c(q) = -15*q + 3. What is 7*c(o) - 6*m(o)?\nAnswer: -9*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 times 2068969?\nAnswer: -45517318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-9) + (-6)\/(-27). Let b = -100 + 96. Are b and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 - -64. Suppose 3*i = -2*p + 181, x*i = p + 4*i - 88. What are the prime factors of p?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 33*o**2 - 148*o - 582. What is b(9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 27*y**2 + 733*y + 8443. What is w(-12)?\nAnswer: 1807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.615 - -1.955. Put 3\/2, -4, b in descending order.\nAnswer: 3\/2, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - 4*f**3 - 32433*f + 32433*f + 6*f**4 as d*f**2 + q*f + z*f**4 + v + o*f**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-20)*30\/(-18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.064562 to three dps.\nAnswer: -1.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 13 = h, 0 = -5*h + h - 3*j + 127. Let l = h - 46. What is the units digit of l\/(-4) - (-3)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i**2 + 0*i**2 + 2*i**2)*(0*i + 3*i - i).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3052 to 2 decimal places.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*g - 44*g - 5*g**3 - g**3 - 4*g**3 - 5 - 6*g**3 as f + n*g**3 + m*g**2 + j*g and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -818*o = -55970 - 7834 for o.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 180. Suppose i*f - 102*f = 880. What is the remainder when f is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.360249 grams to micrograms.\nAnswer: 360249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4146 and 743294880.\nAnswer: 4146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 7. Let o be s(-10). Let g(r) = -r**3 + 5*r**2 - 4*r. Let c be g(o). Does 14 divide (-28)\/(-1)*3\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 18 = -2*f + 3*i, -5*f - 5*i = 5. Solve -3*t + 20 = 4*d, f*t - 2 = 4*d - 22 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -169.131 and -873\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.982 - 24. Round a to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.3, -2, -0.112, -5, 10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 7:09 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 8 + 2 + 4 + 92*o - 4*o**2 - 6 to the form y + j*o**2 + f*o and give f.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -23. Suppose -y*w + 14*w = -132. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -299*d**2 - 2038*d + 9. Let s(v) = 1496*v**2 + 10191*v - 42. Let i(h) = 3*s(h) + 14*t(h). What is the second derivative of i(l) wrt l?\nAnswer: 604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and 1065.\nAnswer: 1064.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2050 - 197c?\nAnswer: 3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*y + 3\/2*y**4 - 15*y**3 + 21\/2 + 36*y**2.\nAnswer: 3*(y - 7)*(y - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 5:43 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/48*(56\/(-3))\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 819780480 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 - 3*d**2 - 2*d + 3. Let s be f(3). Let h = 25 - s. Let m(a) = 43*a**3 - a. What is the units digit of m(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-50)*-5)\/1*1*-1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -940, -930, -910, -874, -816, -730?\n\"Answer: h**3 - h**2 + 6*h - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 346862, 693746, 1040620, 1387484, 1734338, 2081182?\n\"Answer: -5*b**2 + 346899*b - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -401 + 3662\/9. Let x = 31730 + -31723. Is x != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = d - 5. Let y = 5 + d. What is the remainder when 26 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3623, 7146, 10669?\nAnswer: 14192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1977 or 1976?\nAnswer: 1976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -847825091*p*t - 619153912*t wrt p?\nAnswer: -847825091*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*b - 33*b + 83380232 = -0*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, 51, 146, 223, 276, 299?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2362 divide 15648747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8257 - 8264. Sort 40, w, -4 in increasing order.\nAnswer: w, -4, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.37*-5.\nAnswer: -6.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*t - 14 = 0, t + 2*t = 5*o + 22. Let c = 8 + o. What is the least common multiple of c and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 6*g**2 - 4*g + 7. Is c(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a millimeter in micrometers?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 j when three letters picked without replacement from qjpqjjqjjqppjqq?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 998, 1491, 2332, 3695, 5754, 8683?\n\"Answer: 29*g**3 + 290*g + 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*c - 4535, 0*t = -4*c - t + 4541. What is the highest common factor of c and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49000 and 16709.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 2870050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101170 less than -721.785736?\nAnswer: -101891.785736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 4, -4*q + 5*a - 3 = 27 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1943+-214\nAnswer: 1729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 265361375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 39. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107103189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(25)\/sqrt(5) + 1 + 2 + sqrt(500) + sqrt(500)*2 + 0)**2.\nAnswer: 434*sqrt(5) + 4854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 15*n**2 - 15*n - 14. Give z(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1969*l = 1965*l + r, 0 = 3*r for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x**5 + 51636*x**4 + 763988*x**3 + 3642384*x**2 + 5265488*x - 1556160 = 0.\nAnswer: -6, -5, -4, 1\/4, 3242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 y, and 1 g when three letters picked without replacement from {q: 6, g: 6, y: 1, l: 6}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*s**2 + 547.\nAnswer: -74*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puxevoe. What is prob of sequence xv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -290 + 4*z + 289 + 4*z + (-1 - z + 1)*(3 + 0 - 1).\nAnswer: 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -11 - 17 + 2*o + 20*o + 3*o + 2*o. Let n(z) = -10*z + 10. Let h(j) = -8*n(j) - 3*y(j). Let g = -12 + 18. Calculate h(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + b - 12*b**2 + 11*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -158?\nAnswer: 9\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/5)\/(g*g**(-12)) assuming g is positive.\nAnswer: g**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-421080)\/(-5687) - (-814)\/(-11).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -13*c + 27. Let y(g) = 5 - 19 + 4*g + 10*g - 7*g. What is -6*v(p) - 11*y(p)?\nAnswer: p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = l + 362, 11*l - 10*l + 4*r + 337 = 0. Let b = -336 - l. What is the remainder when 77 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2759017 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**6*f**(1\/2)*f**2*f*f**1 assuming f is positive.\nAnswer: f**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 2*r + 65, z + 4*r = -4*z + 65. Solve 2*y + 17 - z = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6*g + 14 = 0. Let y(k) = 3*k**g - 36*k - 5*k**2 + k**2 + 1 + 42*k. Give y(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -558803 (base 9) to base 6\nAnswer: -11100433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-4104)\/48)\/((-1)\/42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2104)\/132552)\/((-2)\/56).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 2. Let p(v) = -6*v**2 - 6*v. Let h(j) = 5*j**2 + 6*j. Let b(g) = k*h(g) - 2*p(g). What is the second derivative of b(r) wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 1566?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 5534367?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1748 + -1296. What are the prime factors of u?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 l when four letters picked without replacement from pmlhc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 350299846*q**4 - 5*q - 8205790?\nAnswer: 4203598152*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -625419494 by -4193.\nAnswer: 149158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 11. Suppose -18 = -0*x + k*x. What is the smallest common multiple of (x\/6)\/((-1)\/4) and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69*14\/(-98)*21*2\/18?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 144 = -56598*t + 56580*t, 3*j = -2*t - 71 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44\/7? (a) -3 (b) 4 (c) -0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15714 is divided by 251.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 205142.3 centimeters?\nAnswer: 2051423000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/15 and -109\/110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/58, -24, -1220.92?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -7993.\nAnswer: -479.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*z + 24*z + 1697 - 7273 = 0. Solve 60*j + 40 = z*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4da (base 14) to base 5.\nAnswer: -12401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5226 divided by -78.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 5*j**4\/12 - 5*j**3\/2 - 15*j**2\/2 + 50*j. Let l be y(5). What is the highest common factor of 15 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(2520\/(-1281)) - (192\/(-40))\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117577, -117581, -117577, -117559, -117521, -117457, -117361?\nAnswer: -117227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*t - 8*t - 2*t)*(6*t**3 - 2*t**3 - 2*t**3) - 4 - t**4 + 4 + (t**3 + 3*t**3 - 5*t**3)*(-2*t + 2*t - 2*t).\nAnswer: -49*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*t**5 + 14*t + 2.\nAnswer: -1300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8018305 times -2?\nAnswer: 9.603661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12468972.25 rounded to the nearest ten thousand?\nAnswer: 12470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -117587.64 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10996.\nAnswer: 2, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/24 + (-4 - (-25)\/6). Which is the fourth biggest value? (a) y (b) -1\/4 (c) -1 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226536714.7 rounded to the nearest 10000?\nAnswer: 226540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3744*b*z**4 - 2*b*z**3 - 2*b*z**2 + b + 3*z**3 - z**2 + 1709 wrt z?\nAnswer: -89856*b*z - 12*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**3 + 43*v**2 + 40*v - 84 = 0.\nAnswer: -42, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, -5, 2 in descending order.\nAnswer: 7, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yll when three letters picked without replacement from pllmmmmyyylpyl.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98*h**2*o**3*w**2 + 4*h**2*o**3*w + 2*h**2*o**2 + 2*o**3*w**2 - 2*o**3 wrt w?\nAnswer: -196*h**2*o**3 + 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 7 (b) -2 (c) 1\/177 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1 + 15*s + 5*s**2 - 2*s**2 + 8 - 2*s**2. Let f be y(-14). Let l = 20 - 21. What is the fourth biggest value in l, 0, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402623 is divided by 160.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - ((sqrt(960) - (sqrt(960) + sqrt(960) + (sqrt(960) - -2*sqrt(960)))) + sqrt(60)))\/sqrt(12) + -3.\nAnswer: -3 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/(-360)*10*284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, z: 1, q: 2, k: 1}. Give prob of picking 1 k and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 549\/325 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g + 100. Let p be -5*1*(-216)\/g. Suppose 0 = 2*i - 5*i + p. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - 144. Let g be (-3)\/(-4) + q\/(-16). Solve 0 = -g*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17.4 (b) -3 (c) 739\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -7*p + 2. Let b(c) be the third derivative of -7*c**4\/12 + 5*c**3\/6 - 2602*c**2. Give -7*a(i) + 3*b(i).\nAnswer: 7*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 14*b + 36. Let t be h(16). Suppose 0 = 5*g - t*s + 8*s - 2973, -2*g = -5*s - 1209. Suppose f - g = 764. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58415261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + -1.5. Let h(t) = 29*t + 91. Let r be h(-3). Suppose -r*z - 3*u + 15 = -z, -2*u = -2*z - 10. What is the fourth biggest value in -0.2, z, -11, q?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -367 (b) 5 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 4:55 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6*k + i = 7, k + 5*i + 9 = 0. What is the nearest to -2\/3 in k, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d**3 - 14*d**2 + 28. What is the units digit of z(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -612019.4781115 - 4?\nAnswer: -612023.4781115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**3*d*z + 3*a**3*z**2 - 3524*a**2 - 236268*d*z**3 - z**3 wrt d.\nAnswer: 4*a**3*z - 236268*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 1\/56*y**4 + 0*y**2 - 1\/840*y**6 + 0*y**5 + 4*y + 1\/3*y**3 + 0. Let a(f) be the second derivative of l(f). Factor a(i).\nAnswer: -3*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 13.5. Let f be 56\/21*(-1)\/(6\/(-45)). Let w be 4\/f - 3\/(-35). Which is the closest to w? (a) 1 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.63 + 0.18. Let t = j - -0.55. What is the closest to 0.1 in -2\/9, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 + 92. Suppose 2*c + 4*c - 12 = t. Solve 0 = c*n - 0*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Let v be -3*-14*g\/18. Calculate the greatest common factor of v and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 147 = 29. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 6*n + 9. Let k(i) = i + 1. Give f(d) + 6*k(d).\nAnswer: -d**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**3\/r))\/(r\/(r\/(r\/r**(4\/7)*r)))*r**(-3)*r*r*r**(-1\/9) assuming r is positive.\nAnswer: r**(-286\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7\/3*f**5 - 7\/3*f + 2\/3*f**4 - 4\/3*f**2 + 2\/3 + 14\/3*f**3 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5407 or -21633\/4?\nAnswer: -5407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 973 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6472 is divided by 634?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p = 24*p - 1 - 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**5\/20 - f**4\/3 - 7*f**3\/6 - 7*f**2\/2 + 3*f. Is s(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, m: 11, z: 2}. What is prob of sequence sm?\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 2*i**2 - i - 2. Let q be u(-2). Suppose q = b + b - 28. Let v(f) = 25 - f - 18 - b. What is v(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -578242, -578240, -578226, -578194, -578138, -578052, -577930, -577766?\n\"Answer: o**3 - 5*o - 578238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -785, -1570, -2353, -3134, -3913, -4690, -5465?\nAnswer: -6238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 784 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1916, -19712, -49374, -90902?\n\"Answer: -5933*p**2 + 3*p + 4014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - g - 14 = -0*l + 4, 11*l + 5*g + 136 = 10*l - 20*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2483 - 5?\nAnswer: 2478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -5. Suppose -16 - 2 = -18*u. Is 23 a factor of p + 16 + 43\/(0 + u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10289513\/12 + 363291029\/396. Let n = -59943 + y. What is the common denominator of 103\/66 and n?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 8*l - 11. Let m be p(6). Let j = -3 - -3.2. Let g = j + 0. Sort -1, g, m.\nAnswer: -1, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x**3 + 351*x**2 - 48*x + 18. Calculate the remainder when 589 is divided by m(50).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -17659 in decreasing order.\nAnswer: 3, -3, -17659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -4421\/1395 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 7*w - 3263. Let k = w - 1672. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 3*j + 2. Let c be k(-3). Solve -3*r + 5*s = 5, c*r = -5*s - 32 + 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/13, -6\/7, 10, 0.1, 37, 0.2?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3339 + 1668 + 207*x + 1672.\nAnswer: 207*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2080356*z**2\/5 - 10401789*z\/5 - 9.\nAnswer: -3*(z + 5)*(693452*z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 128*v + 114*v = 2, 4*v + 6 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41\/3 - -14. Let h(r) = -r + 7. Let z be h(8). Let q be (-1)\/4 + z\/2. Which is the closest to 0.1? (a) j (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3066 - 0.0066. Which is the third biggest value? (a) -4 (b) n (c) -1\/2 (d) 195\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**2 - 37*t + 129. Let s be n(-12). Which is the fourth smallest value? (a) -5 (b) 0.137 (c) s (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-7 + -15 + 29 + -5 + -8).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2896886, -2, 8 in descending order.\nAnswer: 8, -2, -2896886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 6*w - 24. Suppose -o - 6*g = -7*g - 6, 2*g - 12 = -w*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3058601?\nAnswer: 7, 13, 19, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -7, -33\/4, -3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/105)\/((-14)\/(-3))*15.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -2*b. Suppose 5*i + 3*q - 45 = b, -2*q - 61 = -3*i + 3*q. Let n(h) = -h + 7. Let x be n(-6). Solve i = -5*s - 4*m + 3, s - 2*m + x = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**(-1)*j)*j)**(-5\/8)*j**(-2\/13)*j**(-3) assuming j is positive.\nAnswer: j**(-523\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 0, -73, 3 in decreasing order.\nAnswer: 3, 2, 0, -3, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1432907.\nAnswer: 7, 29243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 864 = a, -5*a = z - 0*a - 302. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((-586)\/16 - (-275)\/440).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 38144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2109 - -2110. What is the third smallest value in -9\/5, 3\/2, 0, p, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (8 - 1) + -518 + 545\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r. Suppose -4*k - 18 + 210 = 0. Suppose 0*p = 3*p + 3*f - k, 2*p - 3*f - 22 = 0. Let c(z) = 15*z - p*z + 3 - 3. Give m(c(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.4. Put -4\/5, u, 1, -4 in ascending order.\nAnswer: -4, -4\/5, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -122010002?\nAnswer: -122010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4\/2 - 6681*x**3 + 107037*x**2\/2 - 113766*x + 66930 = 0.\nAnswer: -4462, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -540, -2197, -4968, -8859, -13876, -20025?\nAnswer: -27312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2764 - 50*r**2 + 2764)*(r + 24*r - 10 + 7).\nAnswer: -1250*r**3 + 150*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 7*m**2 + 5*m - 6. Calculate the remainder when g(4) is divided by -6*((-4)\/6 + -2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 3:24 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 26*o + 2. Let k be i(-13). Solve 0*t + 10 = -k*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/4)*d**6*d**7*d**5*(d**8\/d**(-13))**28 assuming d is positive.\nAnswer: d**(2423\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-12 + 15 - (3 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5 + 7 + 0 + 7*a**2 - 3 - 9*a. List the prime factors of j(6).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -2\/45*n**5 - 3 - 1\/18*n**4 + 0*n**2 + 0*n**3 + 0*n. Determine f, given that o(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 18067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0441763kg in milligrams?\nAnswer: 44176.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1406370 is divided by 5909?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**5\/24 - d**4\/8 + 5*d**3\/6 + 29*d. Let p(l) be the second derivative of f(l). What is p(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 64 + 2b?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32626155 and 17730.\nAnswer: 195756930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 305654, 305653, 305652, 305651, 305650, 305649?\n\"Answer: -n + 305655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/280? (a) -4 (b) -5 (c) -225\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 12:01 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30999209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 36255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3087.010706 + -3087. Round k to 4 dps.\nAnswer: 0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222 - 1102?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/(-14))\/((-1)\/(5 + -6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160*w**3 - 116*w**2 wrt w?\nAnswer: 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2592 - -2587. Let a(v) = v**2 + 4*v + 4. Determine a(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31930123 > 31930117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 + 4\/(-72)*3. Let o(c) be the second derivative of -1\/4*c**4 + c - y*c**3 + 0*c**2 + 0. Find the second derivative of o(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25.6 - 158163\nAnswer: -158188.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 758 - 461. Let a = 1715\/6 - k. Let r = -1\/472 + 18883\/1416. Find the common denominator of r and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10*10\/(-38).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -83, -0.2, 1\/7.\nAnswer: -83, -13, -0.2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22202131 (base 6) to base 13\nAnswer: 1a57b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103689181 to the power of 1\/2, to the nearest integer?\nAnswer: 10183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 1 + 1)*(202 - 92 + 6*p + 489).\nAnswer: 12*p**3 + 1198*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 814 - 40. Suppose -742 - y = 4*j. Is 1\/3 + j\/(-6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/11*(-1)\/1*-2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/10 - (5 + (-3 - (-316)\/(-40)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 31882356.\nAnswer: 223176492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 66\/7, -2, 0.3302?\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4378611002?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21772.\nAnswer: 2, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -309.\nAnswer: -26\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1172?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 u, and 1 r when three letters picked without replacement from urauwuw?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 - c**4 + 0*c**4 + (6*c**4 + 3*c - 8*c + c)*(4 - 4 - 1) + (-c**3 + 4*c**3 - 4*c**3)*(-c + 0 + 0).\nAnswer: -4*c**4 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*f - 779985, -4*f - 203943 = -o - 593931. What is o rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 2940644.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9*b + 10. Is d(5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000571 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/53 (b) -1\/9 (c) 0.5 (d) 1 (e) 5\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 y when three letters picked without replacement from dygydugggiyeg?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = 8*k. Which is bigger: k or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-10\/9)\/(w\/(w*(w*w\/(w\/(w**(4\/23)*w)))\/w*w))*(w**(-24\/11)*w)\/(w**(-18\/5)\/w*w) assuming w is positive.\nAnswer: w**(39631\/11385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 5 = -10*j. Let s be (1\/(-4)*-2)\/(j\/30). Solve f - 17 = 5*b, -2*b - 5*f + 1 + s = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -68. Let y = o - 39.3. What is the closest to 2 in 1, y, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -33*t**3 + 1025*t**2 - 62*t = 0.\nAnswer: 0, 2\/33, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*i + 9. Suppose -5*t + 108*v = 111*v - 48, -5*t + 56 = v. Suppose -3822 = -t*g - i*g. List the prime factors of g.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 727062980.\nAnswer: 2, 5, 7, 491, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2 - 12 = 0. Solve -3*p - 7 = g, 2*p + 2*p = -x*g - 24 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1327 in 2\/15, -75, -0.4?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65603.75 hours to minutes.\nAnswer: 3936225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 5\/24*a**4 - 10*a**2 + 0*a + 0 - 1\/3*a**3. What is the tens digit of p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -517 + 526. Solve -b*j = j + 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 = 2*f - 151 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 6*w - 3. Let s be q(-2). Let v = 11 + s. Solve m - 2*l = -3*m - v, -m - l - 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-8)\/240*(-35)\/21.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/252390 and -151\/18?\nAnswer: 757170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 - 2*s**2 + 2*s - 1. Let w be m(1). Is w less than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 436 + -438. Let q = -137\/3 - -45. Which is greater: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426341.6s to nanoseconds.\nAnswer: 426341600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23008857?\nAnswer: 3, 37, 207287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*a**2*y + 3*a**2 - 6*a + 1857*y wrt a.\nAnswer: -12*a*y + 6*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48552 = 19*n - 48590 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 39*a - 1. Give b(39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2688 and 1008.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - q**2 + q + 5. Let z be f(0). Let m(n) = -n**2 + 12*n - 20. Let r be m(9). Let a = r + -2. Is z less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u - 6. Let l be n(3). Suppose -5*z = -2*h + 189, l = 5*h - 0*h - 5*z - 435. Let a(y) = -22*y - 1. What is the remainder when h is divided by a(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 510 and 2346?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a + 12 + 0*a + a. Let o = -8665 + 8659. Let b(q) = -4*q + 11. Give o*c(s) + 7*b(s).\nAnswer: 2*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2. Let d(v) = -3*v**2. Give d(o(m)).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*f, -3*g - 12 = -3*f - 0. Suppose g = 2*v + 3*t - 69, 3*t + t + 115 = 5*v. Let n = v - -92. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y = -5*u + 75, -3*u + 3*y + 27 = 0. Suppose -1063*j - u = -1070*j. Solve -3*t + o = -6*t, j*o = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2733411979?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3240 (base 5) to base 2.\nAnswer: 110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*t**2 - 35*t**2 + 5*t**2 + 32*t**2 - 6*t**2.\nAnswer: 122*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*r - 361 + 361 = 17*r. Which is the third biggest value? (a) -7 (b) -0.2 (c) 4 (d) 2\/9 (e) r\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3135940 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1792172 is divided by 761?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 11:04 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1669 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.503 - 1.79. What is w rounded to two dps?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36692441?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.08, -0.38, 4, -1.2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r - 12. Suppose 5*q + 26 - 69 = -r*f, -2*q + 19 = f. Let u = 21 - q. Calculate the remainder when u is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.2 times -0.2?\nAnswer: -6.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1959 to three decimal places.\nAnswer: 0.196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1100 and 80872.\nAnswer: 2021800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47116*q + 53378*q + 363196 = 0 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 512983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -93*c - 264. Calculate u(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 12*k - 7. Let y(a) = -12*a + 7. Let c be (75\/(-20) + 3)\/((-2)\/(-8)). Let t(r) = c*i(r) - 2*y(r). What is the derivative of t(f) wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-17)\/z)\/z)\/(z*(z**(2\/85)\/z)\/z*z*z)*(z**10)**(6\/23) assuming z is positive.\nAnswer: z**(-34046\/1955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 8306041?\nAnswer: 8306037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -322 - -316.4. Let r = 0.4 - x. What is the closest to 0.1 in r, 2\/19, -1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.75, 2\/9, -223 in decreasing order.\nAnswer: 2\/9, -1.75, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 - 28*h**2 + 123*h + 126. What is the ten thousands digit of a(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*((-3 + -23)*15 + 0) a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/48 - (-264)\/9. What is the highest common divisor of 87 and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1287193 is divided by 299.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eighteen fifths of a second?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7562?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3918 and 534.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (91 - (-10 + 7)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) 0.054 (b) -2 (c) -3\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*m**3*q**3 - 49*m**3*q**2 + 2*m**2*q**3 + 902*m*q**3 + 2*m*q**2 wrt m?\nAnswer: 60*q**3 - 294*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20000 (base 3) to base 10.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2695966*c**2 - 627761*c.\nAnswer: 5391932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7660128 or -7660129?\nAnswer: -7660128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-3)\/72*-2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*l - 50, -3*l + 1 = -5. Let s(f) = 12*f - 36. Let h be s(14). What is the greatest common divisor of p and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/2)\/((-940)\/465 - -2). Let p = n - 99. Put p, 5, -5 in ascending order.\nAnswer: p, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*z - 28 = 0, 2*a - 5 = 2*z + 11. Let i be a - 13\/(78\/40). What is the closest to 0.2 in 0.5, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(2))\/sqrt(3) - sqrt(22)\/sqrt(50)) + -5 + -1 + -3.\nAnswer: -9 + 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from wyywwywyyyyyywwyyyw?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 183 + -88. Suppose -5*l + 5*g = -120, 3*l + l - 3*g = m. Let t(p) = -p. Let r be t(-2). Solve 2*o - 14 = -2*d, -5*d + 0*o - r*o + l = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -603 and -0.086?\nAnswer: 51.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - p + 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 0*a - 4. Suppose 16 = 2*p - 0*u + 4*u, 4*p - 2*u = a. Solve p*i - 6 = -3*s - 0, 4*i - 12 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3, -3*o - 471 = 3*s + 912. Let y = -218 - o. Suppose 3*w + 29 = -y. Round w to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - 5*f - 287 - f + 291 as x + b*f and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 236231540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 461093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/17 - 17062*j\/17 + 1560092.\nAnswer: -2*(j - 1343)*(j + 9874)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 19 = -3*c - 81, 3*j - 15 = -3*c. Solve j = 26*m - 15*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -18. Suppose 2*i = l + 6. Is 34 a factor of 103 - (i - 12\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 + 39*l**2 + 119*l - 241. Give a(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 407 and 25382?\nAnswer: 279202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 + 642*j**2 + 236376*j + 18670176.\nAnswer: (j + 108)*(j + 588)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5 + 93*f**4 + 1950*f**3 + 10892*f**2 - 12936*f.\nAnswer: f*(f - 1)*(f + 14)**2*(f + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {q: 1, c: 10, j: 1, y: 1}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iisd when four letters picked without replacement from wdwddwsswdiiwdi.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6088?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(308)\/(-3*sqrt(99)))\/(5*-6*(sqrt(4) - sqrt(16)\/sqrt(4)*6)).\nAnswer: sqrt(7)\/270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**4 - 5*t**3 - 5*t**2 - 4*t. Let h(d) = -2*d**4 - 6*d**3 - 6*d**2 - 3*d. Let u(k) = -5*h(k) + 6*x(k). Find the second derivative of u(z) wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -438.5 - -439. What is the closest to 0 in 6\/7, l, 10\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -1 - (-322 + -9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442*m**2 - 1239765681 + 1239765681.\nAnswer: 442*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 106 = -x, 4*o - x = 31 + 108. Suppose -7*m = -5*b - 2*m + 55, -3*m + 3 = 0. Calculate the remainder when o is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - -1) + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-40)*15\/12. Let d(a) be the first derivative of -k*a**2 + 1 - 1\/9*a**3 - 2\/3*a. Factor d(o).\nAnswer: -(o + 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = y - 14. Let w be (162\/(-28) - 4\/(-14))*y. Let c(a) = -a**2 - 12*a + 4. What is the smallest common multiple of c(w) and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-3))\/((-2)\/(-72)). Suppose u = 2*o - 104. Let t = 54 + -38. What is the greatest common divisor of o and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.28, 11, 0.04, -0.1, 3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*((-4)\/(-3) - 2). Suppose 3 - 13 = -2*r + 4*u, -5*r = n*u - 95. Suppose 6*b = 3*b - r. Sort 4, -3, b in decreasing order.\nAnswer: 4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*f - 10, -1 = -a + 2*f - 7. Suppose b = -a*b. Let l be (-17)\/(-238)*14\/4. What is the biggest value in -0.4, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -522c (base 14) to base 12\nAnswer: -8234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 9*m**3)*(4 - 32*m + 20*m + 14*m) as g*m**3 + x*m + s*m**4 + y + t*m**2 and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/25356 and -137\/18.\nAnswer: 76068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3*j + 9 = 0, 6*j = 4*i + 3*j - 19 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, -806, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y - 5*o = 26, -1 = 4*y + o. What is the third biggest value in 6, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 78*2 - 4 - 0\/2. Calculate the highest common factor of n and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24431 - 24431.0000017325. What is n rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 12*s. Let k(g) = -4*g**2 - 24*g + 8. Let m(t) = -3*t**2 - 15*t + 5. Let w be (2\/(-12))\/(-7 + (-209)\/(-30)). Let p(z) = w*k(z) - 8*m(z). Give n(p(i)).\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 22 = -8*g + 19*g - 8*x, 5*g - 2 = 7*x + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*o + 24. Let w be (-3)\/(-21) + 83\/o. What is the highest common divisor of w and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 19*g - 2081. Give c(-56).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6954?\nAnswer: 2, 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 12 = 0, -7*o - 4 = 5*p - 4*o. Suppose 0 = -4*c - 7 + 23. What is the highest common factor of c and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/2 and (-1)\/5*13050\/120.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-75)\/10)\/((-171)\/(-156)). Let d = a + 670\/209. What is the common denominator of d and -76\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 79*m**4\/12 + 29*m**3\/3 - 3*m**2 - 17*m. Differentiate q(a) wrt a.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77868 and 558.\nAnswer: 2413908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 + 8*b**5 + 2*b**5 - 21*b**5 + 10*b**5 + 7*b**5 + (-b**2 + 0*b**2 + 2*b**2)*(b**3 + 2*b**3 - 5*b**3) + 0*b**5 - 5*b**5 + 4*b**5.\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 972*w**2 + 17*w + 30. Is j(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1330 and 9538?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 589 = -2*u - 278, 0 = 5*j - 5*u - 1440. Let s = j + -289. Suppose -2\/3*w**4 + 3\/2*w**3 + 0 - 1\/3*w**s + 0*w = 0. Calculate w.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -4267255427.\nAnswer: -4267255430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t - 3636 = 31*t. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*f**2 - 2)*(-f + 4*f - 4*f) + 4*f**3 - f**3 - f**3 + (2*f**2 + 124*f - 124*f)*(-6*f - f + 0*f).\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 1.78\nAnswer: 7.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {b: 1, m: 3, v: 1, a: 2, n: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 11*h**8\/24 + h**4\/8 - 33*h**3\/2 - 2*h**2 + 102*h. Find the second derivative of n(c) wrt c.\nAnswer: 3080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 504 - 563.1. Let m = -63 - x. Let y = m + 4.4. What is the third smallest value in -4, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 78*y + 9. Let t be h(-1). Let v be (-10)\/4 + (-5)\/(10\/t). What is the highest common divisor of 288 and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/3 + 3316*b\/3 - 1106.\nAnswer: 2*(b - 1)*(b + 1659)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (8 - 6) + -4 + 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 2*k**2 + 5*k - 41 - 1\/3*k**3. Factor q(r).\nAnswer: -(r - 5)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2. Let x be (-2)\/4*-8*1. Suppose 6*n = 5*n - 4*f - 6, 2*f + 8 = 2*n. Let l(r) = r + r - n*r + x*r. Determine l(h(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c - 171 + 170 + 58*c in the form t + h*c and give h.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30284 and 1356.\nAnswer: 90852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*b + 19325 = 2485 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 1)\/(3 - 1). Let m = 3 + v. Let n = 2492 + -2490. What is the lowest common multiple of m and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*q = -6. Suppose q*k + 26 = l, -3*l + 3*k + 97 = 10. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -z - 2*z**3 + 7*z**2 - 7*z**2 - z wrt z?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8654*l = 8305*l - 349 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-9)*(-18)\/60.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 226394599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-636)\/53*(-1)\/3*(-12)\/4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + 0.43. Let k = s + -0.8. Which is the second smallest value? (a) 4 (b) 3\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3 + 179310*g**2 - 8037481068*g - 48231341784 = 0. What is g?\nAnswer: -6, 89658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -124220 (base 5) in base 14?\nAnswer: -1b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 24*m - 44*m + 20*m - 63 - 416.\nAnswer: -2*m**2 - 479","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b - -1c755?\nAnswer: 1c719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**7\/168 - b**6\/60 - b. Determine z, given that o(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3726 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + m = 0, 0 = -5*v - 2*m - m + 8. Let a be 34\/(3 - v) - 5. Suppose -4*u - t + a = 2*t, 0 = 3*t. What is the remainder when u is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74510 or -74511?\nAnswer: -74510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/137 (b) 2\/71 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -145579049 and -3647.\nAnswer: -145582696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, o: 2, f: 1, a: 6}. What is prob of sequence kfk?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3670009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 3*z**2 + 13*z + 17. What is i(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 j, and 1 m when four letters picked without replacement from {v: 2, t: 2, h: 5, m: 2, j: 2, d: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 - -0.07. Which is the nearest to -10\/19? (a) -4 (b) -0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*(n**(-34)\/n*n)\/n*n)\/n))\/n*n*(n\/n**(-6\/5))\/n*(n**(-28)\/n)\/(n*n**2))**(7\/3) assuming n is positive.\nAnswer: n**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/5 + (-1048)\/(-40). Suppose -s + i = 2*n + 2*n, -5 = -s + 3*n. Calculate the least common multiple of 2\/(-5) + (-88)\/(-20) and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19, 13, -3, -29, -65, -111?\n\"Answer: -5*p**2 + 9*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -1. What is the third smallest value in 0.5, -4, -62, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 + -1 - (-2 - -3)) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 52.7.\nAnswer: 5.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*i + 2050035. Let h = -375244 + 85237. Let f = i + h. What is f rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 4.49, 63?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*w + 42*w**2 - 7*w**2 + 186*w - 66*w - 55*w.\nAnswer: 35*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 - -34 - (8 + -3). Solve h*l - 18*l + 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 (base 4) in base 10?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dadad. Give prob of sequence da.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 757281, 1514556, 2271831, 3029106, 3786381?\n\"Answer: 757275*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 344 or 26581\/77?\nAnswer: 344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 u, and 1 t when four letters picked without replacement from {g: 3, u: 2, w: 4, t: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k - 23. Calculate x(11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-286)\/(-99))\/(156\/(-3510))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 135664543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 241333121 - -24?\nAnswer: 241333200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1053) - (sqrt(1053)*-2*3 + sqrt(1053)))**2 - 1*(sqrt(1872)*-2 + sqrt(13))**2)*-1.\nAnswer: 155155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.76287 take away 0.0370692179?\nAnswer: 4.7258007821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 7 = -b + g, -4*b = -5*g + 33 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 266797777?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 24, -0.823?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0221133212 rounded to 4 decimal places?\nAnswer: -0.0221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 74778 = -5*j + 6010, 0 = -j - 4*g + 16172. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -30*g + 427. Let v(a) = 7*a - 106. What is 2*j(n) + 9*v(n)?\nAnswer: 3*n - 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 9 - 9)*(-2 + 2*m**2 + 2)*(m**2 - 2*m**2 + 0*m**2).\nAnswer: 14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knxdy. What is prob of picking 1 d and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 436 = 8*i - 675, -2*i - 2*y = -62. Solve -9*m - i = 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1144*q - 9. Let y(n) = 1429*n - 9. Let o(z) = -5*b(z) + 4*y(z). Suppose -g = 2*g - 18. What is o(g)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*x - 9*x - 23*x + 13*x in the form k + c*x and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 10*t - 4. Suppose 0 = -2*g - 4 - 10. Let h(f) = 7*f - 3. Calculate g*h(m) + 5*y(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -3\/2*x**2 + 19\/9*x**3 + 0*x + 1\/15*x**5 - 11\/12*x**4 + 77. Factor d(h).\nAnswer: h*(h - 9)*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/6*(-1294317)\/10. Let l = s - 582724. Let y = -1384\/5 - l. Find the common denominator of -11\/16 and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5156702.\nAnswer: 2, 2578351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -101110000100 (base 2) to base 16\nAnswer: -b84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 382498*a + 16. Let m be l(8). Round m to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 - -95.97. Which is the closest to 0? (a) 1\/6 (b) 2\/9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -153863700 to the nearest 1000000.\nAnswer: -154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 39 = -32*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3164127 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -663 + 5001 = 166*h + 22. Solve h*u = 45 - 97 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 11*u - 48 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-58 + 13 + 31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 866000 rounded to the nearest 10000?\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 0 - (2\/(-4))\/(6\/72) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782 = -5*g + 5*o - 817, -4*g - 25 = -5*o for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 5, -0.1, -62\/5, -0.3 in ascending order.\nAnswer: -62\/5, -0.3, -0.1, 4\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 8*z**2 - 1. Let d be y(8). Let u = 5 - d. Solve -2*w + 0*w = -u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.996 + 4. What is p rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1113 and 46587.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28358*k**2*s + 1386*k**2 + 881*k*s + 695*k - s + 15 wrt s?\nAnswer: 28358*k**2 + 881*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q - 12. Let j be b(17). Calculate the smallest common multiple of 45 and ((-360)\/j)\/((-2)\/(-7)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2733*f**3 + 5*f**4 + 0*f + 2718*f**3 - 6*f - 7*f as a + n*f**4 + y*f + b*f**2 + h*f**3 and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5534 + -571575?\nAnswer: -564041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2532 = 172. Let q be (3240 + 2 + -1)*k. Let d = q + 2752190. What is d rounded 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 smallest common multiple of 1554 and 26344?\nAnswer: 553224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 2:31 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**3\/6 + v**2 - 11. Factor u(a).\nAnswer: a*(a + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**2 - 6*j - 7. Let c(m) = -9*m**2 - 12*m - 14. Let z(h) = -3*c(h) + 7*g(h). Suppose -164 = 71*i + 191. Give z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**11\/w*w)\/w)**(-2\/3)\/((w\/(w\/(w\/(w**12*w)))*w)\/w*w**(-13)))**(2\/47) assuming w is positive.\nAnswer: w**(110\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1358\/291)\/((-4)\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/135*1\/((240\/(-75))\/16)?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1.99 (b) -6\/11 (c) 15\/7 (d) -15 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/31, 4\/43, 3\/8?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6720 is divided by 199?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 9. List the prime factors of (-6)\/(-15) - (-93)\/z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l. Let j(x) = -11581*x. Calculate g(j(s)).\nAnswer: 46324*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*y - 480, 5*r - y + 800 = 4*y. What is the common denominator of r\/(-55) + 1\/4*-2 and -1 + (-2)\/12*-139?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 67*c**2 + 8*c - 109. Let r(g) = -45*g**2 - 5*g + 71. Give 5*i(x) + 8*r(x).\nAnswer: -25*x**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*-4*(sqrt(1900) - (sqrt(1900) - (sqrt(1900) + 1 + 4))))**2.\nAnswer: 1520*sqrt(19) + 30761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 75 = 4*l. Let n = l - -9. Suppose -n + 4*a**2 + 50 - 26 - 4*a**3 = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r - 33 = 0. What are the prime factors of r?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 863143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-1) + 6)\/(1\/(-7 + 8))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*t**5 - 30*t**4 + 132*t**3 - 72*t**2 = 0. Calculate t.\nAnswer: -6, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) - (sqrt(1539) + -1))*6)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275003?\nAnswer: 275003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f = 0. Solve f = -3*t + 2*z + 3, -8 = -t + z + 2*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + (-65 - 0) - (33 + 65 + -101)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 15. Let u(f) be the third derivative of -f**4\/24 - 7*f**3\/6 + 2*f**2. Let b be u(h). Solve 5*j - 8 + 33 = b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 102 = -108. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 22*x + 252.\nAnswer: -2*(x - 18)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**4 - 156*k**3 - 152*k**2 = 0 for k.\nAnswer: -38, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (5 - -4)) + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -111 - -77 - (-2 + -22)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 318*a**2 - 642*a + 322.\nAnswer: 2*(a - 1)**2*(a + 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -4. Let h = p + -3.2. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/37, 0.5, -1\/6 in ascending order.\nAnswer: -1\/6, -1\/37, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -51*b - 4. Suppose 5*j = -2*u + 55, -28*u = -32*u + 4*j + 96. What is the remainder when s(-2) is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 6)*(-2*i**4 + 2*i**4 - 4*i**4) to the form h*i**2 + o*i**4 + x*i + z*i**3 + l and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**7\/180 - 19*a**6\/360 - 53*a**5\/360 + a**4\/72 + 2*a**3\/3 + 1995*a**2. Find k, given that d(k) = 0.\nAnswer: -3, -2, -1, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/21*(6\/(-7))\/((-3)\/63).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 753a + 12?\nAnswer: 7551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 10 - 10 + 1 + y**2 - 1 + (4 - 2*y - 4)*(-6*y + 2*y + 3*y) + (4 - 4 + 2*y)*(0*y - 3*y + 4*y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.4s in nanoseconds?\nAnswer: 94400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 167 = 121. Solve 24 = -2*k + r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1*(-36)\/(-9)*(-98)\/(-28)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1039147 + 16*a**2 - 28*a**2 + 9*a**2 + 1039147.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/10, 0.7, -3\/7, 4, -44\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137.7*-4238.\nAnswer: -583572.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1)*j)\/(j\/j**(-2\/23)))\/((j\/j**0)\/(j\/(j**(-8)*j)))*(j**(1\/4))**38*(j*j*j*j**(1\/10))\/((j*j*j**(2\/3))\/j) assuming j is positive.\nAnswer: j**(6157\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 11:36 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1070900255 by -5.\nAnswer: -214180051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s - 9. Let a be z(7). Suppose -d + a = 3*m - 1, -3*d = 4*m - 24. Suppose 8 = b + m. What is the smallest common multiple of 7 and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 2*h - 3074, -h + 2203 + 878 = 2*l. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -421997 divided by -421997?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/7 + 2\/7*r**2 - 8\/7*r.\nAnswer: 2*(r - 5)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 + 1 = 5*z, -21 = -4*i + 5*z. Suppose -p + 22 = -2*s + 3*p, -i*s - p - 62 = 0. What is the remainder when 15\/(-9)*s - 1 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 11*h + 8. Let c be l(11). Suppose -c = -5*j + j. Solve 0 = -4*t + j*z + 16, -2*z = 2*t - 5 - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14 - (-523 + (9 - 12)). Put 4, p, 0.3, 1 in decreasing order.\nAnswer: p, 4, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 44*k**2.\nAnswer: -k**2*(k - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12791048.\nAnswer: 2, 37, 79, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3915\/75 + ((-2)\/10)\/1. Suppose -p*l = -56*l. What is the units digit of -3 + 5 + l + 222?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 1. Suppose -66*x = 2*l - 28*x - 35*x - 67, 0 = -3*x + 45. What is the lowest common multiple of d(5) and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 3515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**6\/120 + q**5\/10 - 5*q**4\/24 - 14*q**3\/3 + q**2 + 2*q. Let l be d(-6). Put -3, l, -51 in increasing order.\nAnswer: -51, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 0*o + 2. Suppose 5*a + 3*w = -2346 - 409, -o*a = 5*w + 1121. What is the common denominator of (-2)\/(-9) - a\/126 and 7\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6560 = 631*d - 1643 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1206+0.0211\nAnswer: -1205.9789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25795862.\nAnswer: 2, 59, 71, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (10 - (11 + -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**25*v)**(12\/5) assuming v is positive.\nAnswer: v**(312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-17)*r**14\/r*(r*r**19*r*r)\/r*r**2 assuming r is positive.\nAnswer: r**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -1351?\nAnswer: -1351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 90*a**2 + 0 - 17*a**3 + 93*a**2 in the form z + f*a + x*a**2 + y*a**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 2436663.\nAnswer: -487332.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19873390.\nAnswer: 2, 5, 1987339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/6)\/a*a*a*a*a*a*a)**6\/(a**(-9\/4)*a*a*a\/(a\/((a**(2\/3)\/a)\/a))) assuming a is positive.\nAnswer: a**(439\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 0*x**2 + x + 0*x**4 + 6\/5*x**5 + 0*x**3 + 6. Find the first derivative of w(m) wrt m.\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4 - 713*x**3 - 1413121*x**2 + 8031393*x + 2834118 = 0.\nAnswer: -581, -1\/3, 6, 813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5876443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - f - 9 = 0, -x - 2*f + 0 = 3. Suppose 38 = -x*l + 48. Solve 7*t + 10 = l*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -3*l - 3*p, -2*p + 8756 = l + 8775 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) 1.1 (c) 0.24 (d) -5 (e) 1837\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - 7) + -37 + 40?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2373, 10768, 24759, 44346?\n\"Answer: 2798*f**2 + f - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001010101101001010 (base 2) in base 15?\nAnswer: 116022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.178 - -0.932. Let i = -1 + p. Let j = i + 0.09. Which is the closest to -0.1? (a) -1 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1978 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1.14, -2\/15, -2\/21?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2 - 27\/(-2). Let i be (20\/q)\/((-5)\/(-15)). Suppose -2*j + 10 = -4. Solve 3*r - 3*k + 1 = 5*r, -i*r = 3*k - j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -301 + 301.03. What is the second biggest value in 3, l, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61110989.1 minutes to weeks.\nAnswer: 6062.598125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8.106663 and -12.6202?\nAnswer: 4.513537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -29219.174?\nAnswer: -29219.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -696991240*n**5 - 4*n + 38636955?\nAnswer: -13939824800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 1. Let l be w(-2). Let c(f) = -2*f + 30. Let b be c(14). Solve -b*y = 1 + l, -2*y = -2*k - 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -z + 22 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 9060 = l, -17694 = -3*l + p + 9472. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**2*m**2 - 42*g**2*m - 236*g**2 + 1613*g*m**2 - 2*g*m - 41*m**2 + m - 5 wrt m.\nAnswer: -8*g**2 + 3226*g - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -33. Suppose 0 = -c*u + 28 - 20. What is the least common multiple of (-24 + 25)*2*17 and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 38. What is the units digit of 137\/9 + p\/63?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120224.6 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12057854.00189 + 12057971. Let v = -24.6 + -92.4. Let i = c + v. Round i to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 211560.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162481 + -9.\nAnswer: 162472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 7:38 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 6*b - 1. Let d = 56 - 48. Suppose 52 + 20 = d*w. Suppose 14 = -q + w. What is u(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2\/13 + 892*n\/13 + 10992\/13 = 0?\nAnswer: -12, 458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/9 + 0 + 74\/(-6). Let j be (a - -13) + 3*1088. Suppose j = 4*c + 669. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/22)\/((-18)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 1. Let z(y) = -y**2 - 2*y + 19. Let x(f) = -3*v(f) + z(f). Let h be x(0). Factor 3*r**4 - 3*r**3 - 2*r**4 - r + h*r**2 - 13*r**2.\nAnswer: r*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31770 - -31769.94. Let k = -4171\/13 + 321. Which is the closest to f? (a) 1\/2 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 minus 403?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172.705*706.8.\nAnswer: 122067.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/2 and -61\/1442.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-19140)\/(-127600)*(6\/(-4))\/((-3)\/(-5))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6288)\/5)\/(4\/(-50)).\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(7) + -3)**2*-2*-2.\nAnswer: -24*sqrt(7) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107425462.\nAnswer: 2, 389, 138079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -405*r**4 - 137736*r**3 + 404517*r**2 + 41124*r - 12348 = 0. Calculate r.\nAnswer: -343, -2\/9, 2\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14445 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 10) to base 6\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-5)*3\/6)\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**8\/840 - t**4\/12 + t**3\/6 - 2*t**2. Let p(d) be the first derivative of f(d). What is the first derivative of p(w) wrt w?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 5*m - 40, 2*t - m - 18 = -0*t. Let z be (-4 - 25 - 0)*-1. Let w = t + z. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382755 is divided by 382725?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w - 2. Let j(i) = 11*i + 4. Let g(v) = v - 17. Let l be g(21). Determine l*j(k) + 7*o(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c - 19. Let p be x(-9). Sort -0.1, p, -4 in descending order.\nAnswer: -0.1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8578, 8570, 8562?\nAnswer: 8554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 55*x + 735. Let p be c(13). What is the greatest common factor of 116 and p?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v - 82. Suppose -2*m + v + 5 = 0. Suppose -9 = -t + m. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 264 + -258. Let x(s) be the third derivative of 1\/120*s**a + 0*s**5 + 0*s + 5*s**2 + 1\/6*s**3 + 0*s**4 + 0. Differentiate x(f) with respect to f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*r + 647 - 2150 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216892 and 468442?\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 7*f**2 - 5*f + 5. Let k be o(-7). Let j = k + -2. Suppose -4*x + 26 + j = 4*l, 0 = x - 5. Calculate the remainder when l is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 361 or 8296\/23?\nAnswer: 8296\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4 (b) -1\/6 (c) 12 (d) 0.5 (e) -9.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16305589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -29. Let t = -21\/50 + -2\/25. Let c = -2 + 1.6. What is the closest to o in -2, t, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/35*(-77)\/(-22)*1. Sort u, -2\/5, -9, 1, 3\/8 in decreasing order.\nAnswer: 1, 3\/8, -2\/5, u, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 861, 3489, 7869, 14001, 21885?\nAnswer: 31521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**4 + 11710*u**3 + 70206*u**2 + 105282*u = 0.\nAnswer: -5849, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, w: 2, o: 1, h: 3, a: 1}. What is prob of picking 1 a, 1 w, and 1 o?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**17*h\/(h*h**(-7)*h) assuming h is positive.\nAnswer: h**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*h - 60*h + 16*t - 38*t + 115 = -33, 0 = -5*h + 5*t - 50 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 13439630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83 and 378725929.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 29534950.66 to the nearest 100000.\nAnswer: 29500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z. Let f(n) = -15*n - 1. Calculate f(t(b)).\nAnswer: 15*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4512*w**2. Let x(g) = -5*g**2 - g. What is x(i(z))?\nAnswer: -101790720*z**4 - 4512*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -25?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4181.3013933 plus -1?\nAnswer: -4182.3013933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 1a28110?\nAnswer: 1a2811b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r - 4*y = -36, -r = -4*y + 21. Let q be ((-5)\/(-2) + -2)\/(31\/62). Sort r, q, 2.\nAnswer: r, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.663134 days to milliseconds.\nAnswer: 316494777.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1436 + 20799.\nAnswer: 22235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 217567627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8993336 is divided by 11756.\nAnswer: 11752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-39)*0)\/(8\/2). Let s(i) = 2*i**2 + i - 5. Let r be s(-4). Suppose 3*n + 31 = -4*k - k, 3*k + r = -4*n. Put l, n, 2 in decreasing order.\nAnswer: 2, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548*h + 4560 = 549*h + 5*n, -13563 = -3*h - 2*n. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71025143 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 4072 = 4128 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (42 - 28)) + 18 - 29\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*j**2 + 3*j**2 + 2*j**2)*(4*j - 2*j - 3*j) - 2*j**3 + 0 + 0 - 4*j**3 + 5*j**3 + j**3 + 3*j**3 - 7*j**3 + 7*j**3)*(0*j**2 - 2*j**2 + 0*j**2).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61524, 245765, 552966, 983235, 1536680?\nAnswer: 2213409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 - 366*k + 677*k + 83 - 279*k.\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3189.\nAnswer: 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -7 + 6 + -1 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x + h = 977, 0 = 4*h + 20. Suppose 3*m - 1370 = -x. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*k = -133 - 5037 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0249814 rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -7*y - 2. Let w be m(-1). Suppose -14 = -2*g + 2*k - 4, -w*g + k + 25 = 0. Suppose -73 = -g*i + 4*o, 3 = i + 5*o - 0*o. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**3 - 9345*x**2 + 1 - 1 + 9141*x**2 to v*x**3 + y*x**2 + z + j*x and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u**3\/u)))*u)**(-38)*(u\/(u\/u**(-7\/3))*u)\/((u\/u**(-1\/3))\/u) assuming u is positive.\nAnswer: u**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*sqrt(55)\/(sqrt(33)\/sqrt(3)*2).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 117 + 8045?\nAnswer: 8162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8 - 88\/(-10))*385\/2.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 8*h + 7. Let u be t(5). Let w = 33 - u. Let x = w - -7. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8*t + 93. Let v be d(11). Solve -2*a = -f + v, 2*a + f - 2 = -1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + (-9 - -9) - 9) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(65)\/(sqrt(5) - (sqrt(80) - sqrt(5))))**2)*6.\nAnswer: 99\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670746205?\nAnswer: 5, 134149241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 5 - 3*r + 5*r. Let o be a(7). Let n be ((-540)\/(-75) - 7)\/((-5)\/(-225)). Solve t + o*t - n = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12\/19, -9, 2\/2987?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 2012035337 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: Solve -5*b + 3*a = -28, -498*b + 4*a - 16 = -502*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/7 (b) 2 (c) -105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -118.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*sqrt(36) - sqrt(4))\/(-1*sqrt(32)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -37?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - -4) + (51 - 71) + (-1 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - -118. Factor 5*m**4 + 291*m**2 - 72*m**2 + 40*m**3 - 129*m**2 - l.\nAnswer: 5*(m - 1)*(m + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -995307, -995308, -995309, -995310?\nAnswer: -995311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8*y = -3*y - 150, 0 = -2*z - y - 100. Let q = z - -20. Let k = q + 153\/5. What is the biggest value in -3, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79\/100 - -1\/25. Suppose -v + 1 = 0, -4 - 14 = -4*w + 2*v. Let f = 72.7 + -73. What is the closest to 0 in w, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 16) in base 3?\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 + -88. Suppose 5*q - 14 = s, 7*s - w = 6*s - 5*q. Let h = -3 + s. Calculate the greatest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -683362*q - 6150286. What is g(-9)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51452350 greater than or equal to 51452350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202846761 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -18, 4, -2\/13, -2\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Let n be j + 1\/(15\/(-24)). Let p = -2\/45 - n. What is the third smallest value in -4, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + -1*sqrt(120))*-3)\/(-5*(-4*sqrt(1000) + sqrt(10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (-4 + 3*sqrt(19)*4*-6)**2)*6.\nAnswer: -1182168 - 6912*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000487692 to 5 dps.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooeoeeoeooooeeeo. What is prob of picking 2 e and 2 o?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g + 3. Let y(w) = -26*w - 14. Let z(r) = 11*o(r) + 2*y(r). Calculate the remainder when 45 is divided by z(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3471395, 6942780, 10414165, 13885550, 17356935, 20828320?\nAnswer: 24299705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 2. Let z be n(0). Let l = 0.43 - 0.03. Let k = 0.43 + -0.13. Which is the nearest to 1\/3? (a) z (b) l (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 + 46*w + 2. Let m be r(23). Sort 5, -7, m.\nAnswer: -7, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9 - -6) + (1 - 1) - 0) + -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2. Let b(d) be the first derivative of 5*d**4\/2 + 94*d + 110. Let l(m) be the first derivative of b(m). What is n(l(j))?\nAnswer: 900*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4532 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230947?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttt. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124602?\nAnswer: 2, 3, 19, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2.2*-0.03\nAnswer: -0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 58, 89?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135983491.\nAnswer: 7, 373, 52081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5\/4 - 530*i**4 + 25629*i**3\/4 + 23986*i**2 + 2117*i - 31980 = 0.\nAnswer: -2132, -2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15616 and 366?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-375)\/(-20))\/25*(-2304)\/1512?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 592\/5032*1*-1. Let d = -1.2 + 2.7. Which is the closest to -1\/2? (a) k (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 76\/(-32) + 3 - 1. Let d be (-2)\/(-4) + 7\/(-2). Which is the nearest to 1\/2? (a) d (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14 + 15\/((-45)\/33))\/((-12)\/(-50)). Let o(h) be the first derivative of 36*h + m*h**2 + 26. Differentiate o(z) with respect to z.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(3\/(-54)*-24).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 4*m + 6. Suppose -k + w + 10 = -9, 4*k = 2*w + 86. Suppose k = 5*b + 4. What are the prime factors of o(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082338 rounded to 3 dps?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -66 + 14. Suppose b + q*b = -5*m + 170, 4*m = 12. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 127*k**3 + 2158*k**2 - 3*k + 72. What is w(-17)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 + 167*c**2 + 81*c + 114. Calculate u(84).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.587565nm to millimeters.\nAnswer: 0.000008587565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1058800*i**3 + 53063*i wrt i.\nAnswer: -6352800*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 554 + -551. Suppose 10 = -5*v - 0*q - 3*q, -6 = l*v - 2*q. Which is the closest to 2? (a) v (b) -1\/48 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 1548 - 72 = 0. Calculate the remainder when i is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43.453 - 21.127. Round b to 1 decimal place.\nAnswer: 22.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 44970?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -1)\/(-2)*20. Suppose -z = 10*x - 8*x. What is the nearest to -2 in x, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**4\/12 + 23*o**2. Let c(p) = -38*p. Determine s(c(f)).\nAnswer: -76*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24010635 divided by 5.\nAnswer: 4802127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 12*t**2 + 11*t - 25. What is the units digit of n(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -21*j + 11. Let d(l) = 10*l - 5. What is -13*d(o) - 6*w(o)?\nAnswer: -4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t*t**8)\/t*t**(1\/2))**8\/(((t*t*t**1*t)\/t*t*t)**(-4)*(t\/(t\/t**(2\/9))*t)**(-4\/29)) assuming t is positive.\nAnswer: t**(27188\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.31266 hours in microseconds?\nAnswer: 296325576000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/9*(-12)\/(-4). Suppose 2*u + 5*s + 6 - 27 = 0, s = v. Suppose 2*n + 3*x - u = 4*x, 12 = 2*n + x. Solve 3 = -3*i - d, -n*i - 2*d - 5 = 2*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.1 times 342?\nAnswer: 4822.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101550781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4547681 is divided by 83.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -116 + 11 + 56?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009999907 rounded to 6 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-6)*42\/28 - -7. Suppose n*a - 5*k = 885, -3*a + k = -474 - 61. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -654?\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 12:22 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at least 2041\/23986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**2\/4 - 3261*f\/4 - 650412 = 0?\nAnswer: -1869, -1392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1792320 divided by 3734?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**10\/30240 + t**9\/5040 + t**8\/3360 - t**4\/3 - 11*t. Let m(y) be the third derivative of s(y). Find p, given that m(p) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48400147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-26)\/6)\/(-13))\/(1\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3784*x - 3782*x - 42 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o + 172 = 0. Suppose -10 = o*l - 41*l. Let g be -15*(2 + l + 2). What is the greatest common divisor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*l**3 + 65*l**3 - 5*l + 5*l - 26*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 13. Let p be 2*(2 + r\/(-1)). Let u = 26 + p. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.75 + 0.25. What is the biggest value in t, -1\/4, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -r - 150, 4*r - 2*r - 135 = -5*y. Let t = 32 - y. Differentiate -7 + 42*p**t + 1 - 38*p**3 wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, 0.06, -1\/2, -1 in decreasing order.\nAnswer: 11, 0.06, -1\/2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 10*l - 22. Determine u(10).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74777587\/12 - 6235107. Let g = 3500 + -7149. Let a = c - g. Find the common denominator of a and -101\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(306\/378)*15\/((-420)\/(-8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2095, -8232, -18455, -32764, -51159?\n\"Answer: -2043*l**2 - 8*l - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkgkgg. Give prob of picking 2 g.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.46702 and -80.\nAnswer: -37.3616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d69 + -7?\nAnswer: -2d70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 8 - 16)*(5 - 4 + 2)*(-4*s**4 - 2*s**4 + 4*s**4).\nAnswer: 132*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.2867 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (898\/(-2))\/(-4 - 6\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from edgddeequedqqsqsdese?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, -2\/3, -1, -4\/3.\nAnswer: -4\/3, -1, -2\/3, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - u + 2, -3*r - 7 = -u - 0*u. Let y(i) = -i**3 + 3*i**2 - i. Let n be y(3). Let v be r\/n + (-6)\/(-9). Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 7*c**2 - 10*c - 12. Let l be p(-6). Suppose 4*h = -l, 3*m - h = 8*m + 3. Solve 3*j + m*j + 9 = -2*k, -15 = -3*k + 5*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*i**3 + 9 - 9 + 23*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 3. Let d be (1 + -1)\/(b + 0). Let v = -3 - -7. Solve 2*o - v = -d*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 158789307.3 to the nearest 1000000.\nAnswer: 159000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 11*w - 11*w + 7 - 4*w. Let y be i(4). Sort -3, y, -1.\nAnswer: y, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 11}. What is prob of picking 3 k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15408)\/64 + 4\/(-16). Round h to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 117 - 83. Calculate the remainder when n is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 5:12 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, d: 3, g: 5, r: 1}. What is prob of picking 4 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + -10 + -2 + 14 + 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/5 - 18*k**4\/5 - 18*k**3\/5 + 98*k**2\/5 - 12*k = 0. Calculate k.\nAnswer: -6, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - 0.4. Let h = f + 0. What is the third biggest value in 5, h, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - a - 29, -4*z - 989 = 4*a + 47*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*y - 10952 + 29477 = 0 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/14)\/((-4)\/(-28)) - (-50)\/(-46).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7117.428um to millimeters.\nAnswer: 7.117428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3963*q - 1086. List the prime factors of s(4).\nAnswer: 2, 3, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*q - 27. Suppose -2 = w - q. Let k be (w*3\/(-6))\/(-3). Calculate the greatest common factor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 0 + 30)*(2*n - 2*n + 3*n)*(1 - 1 + n) to q*n**2 + i*n + r and give q.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c9 + 1094?\nAnswer: eba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1002*o**2 - 1 + 27*o - 11*o + 4 - 18*o.\nAnswer: 1002*o**2 - 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(325) + 1)*-4 + sqrt(325))**2 + -6*(sqrt(325) + sqrt(325) + 0)**2 + -4 + (-4 + sqrt(325) + 0)**2)*-2.\nAnswer: -160*sqrt(13) + 9044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.988 + -0.098. Let q = t - -24.11. Which is the closest to -0.1? (a) 2 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/2 + 212\/53. Suppose -d + 216 = x*b, -5*b - 5*d + 534 = -d. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + sqrt(7) + sqrt(63) + 3))**2*-3.\nAnswer: -15984 - 5184*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 1. Let z = m - 8. Let g(n) = 20*n**2 - 6*n + 8. Let f = -10 - 4. Let j(y) = -7*y**2 + 2*y - 3. What is f*j(q) + z*g(q)?\nAnswer: -2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38381145 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*y + 99*y - 29. Are -2\/2737 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 316 = -4*v, 6*m - 64 = -v + m. Suppose 3*x = 2*o - 62, 4*x + v - 20 = 2*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 -4*l + 9*b + 2 = 6*b, 5*l + 2*b - 14 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 221 = 2*w, 373 = -d - 4*d + w. Let g = 79 + d. Let l(z) = z**3 - 3*z**2 - 3*z + 6. Give l(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 147. Give j(35).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287 = -9*o + 944. Suppose 2*h - 471 = -o. Suppose -3*x + m + h = -4*m, 0 = -5*x + 4*m + 323. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -42*l + 331. Is c(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -183 (b) 2\/13 (c) -0.3 (d) 2\/3 (e) 12 (f) -26\/3 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 62111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -2\/17 (c) -0.07 (d) 2\/9 (e) -0.03 (f) -5\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46258 (base 9) in base 15?\nAnswer: -9208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/13 + 254*m**2\/13 - 1936*m\/13 + 3808\/13.\nAnswer: -2*(m - 119)*(m - 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.19 - 6.14. Let z = 0.0877 - -21.2623. Let h = c - z. What is h rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -456 divided by -5.\nAnswer: 456\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (2 - -3) + 0. Let j = -782 - -782. Solve j = 4*v + 12, 3*v - 16 = d*x - 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78 or 186?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*s - 5*s + s)*(3 - 7 + 3).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943139 is divided by 134709.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 58*f**3 - 4*f**2 + 12*f - 159. Let k(c) = -56*c**3 + 5*c**2 - 15*c + 159. Let i(g) = 4*k(g) + 5*y(g). Differentiate i(w) wrt w.\nAnswer: 198*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y**4 + y**3 - 165 + 328 - 154 to n*y**4 + a*y**3 + b*y**2 + q + x*y and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2209334?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 20*f + 129 = -0*j + 3*j + 53, -j = -24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f - f + 12*f - 1. Let n = -21 + 30. Let w = n - 15. Give y(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k = 4*c + 10, 4*c = 2*k - 8. Let f be (8 + -7)*k\/1284. Let x = f + -17812\/2247. What is the common denominator of x and 61\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 v when four letters picked without replacement from wxsxvwxvxxx.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u - 12. Suppose 10 = -u*l - 2*l, -3*l = 5*c - 109. What is the remainder when 43 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*v - k, -3*v + k - 4*k = 30. Let s be (-6)\/9 + v\/(-3). What is the remainder when 21 is divided by s\/(-1*(-3)\/33)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146915, -586680, -1319295, -2344760?\nAnswer: -3663075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 23624, -1 in decreasing order.\nAnswer: 23624, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 177992249 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1028 + 1024. Which is smaller: v or 325?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -923 + 1368. Suppose 0 = -4*z + 2*d + 356, -z - 4*z + j = -d. What is the remainder when z is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 4863268?\nAnswer: -4863265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2 - 2*z + 1 - 3. Let l(s) = -63*s**2 - 444*s + 48. Let v(n) = -13*n**2 - 92*n + 10. Let y(q) = -5*l(q) + 24*v(q). Calculate i(y(b)).\nAnswer: -6*b**2 - 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkkk when four letters picked without replacement from {k: 1, l: 11}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uooouuu. What is prob of sequence ouo?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = -3*m - 9*m - 80 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 22 = o, 4*y - o = -110 + 130. Suppose -3*a = -a. Solve a - 8*w**2 + 8\/3*w + y*w**3 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27590 and 558.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 7:03 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 653 - 11*p - 653 to f + d*p and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 0*t + 2 - 4*t - 2*t - 3. Let c be j(-1). Suppose c = y, o + o - 5*y = -3. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104477 (base 12) to base 11\nAnswer: 165711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3 + 34*h**2 - 321*h + 630 = 0.\nAnswer: -42, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a microgram in nanograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/11 - 39948*m**2\/11 + 82952610*m\/11 + 1302154454536\/11.\nAnswer: 2*(m - 12181)**2*(m + 4388)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f - 16115 - 9638 + 25753.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 57?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9842*y + 228 + 2390 = -9831*y. Solve -28 + y = -30*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -10831*s**2 + 3*s - 1. Let a be w(1). What is the hundreds digit of (-6)\/(-10) + a\/(-85)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h + 612 = 0. Suppose -4*n - 2*n + h = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017555912 to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n - 5 + 7*n + 4*n + n + n**2. Let y be l(-7). Find the second derivative of 154*p**2 - 171*p**y + 14*p + 4*p wrt p.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/52954 or 0?\nAnswer: 7\/52954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 105 = -2*a. Suppose r + 28 = 5*j - r, -j + 12 = -2*r. Suppose -5*k - 3*q = -10, 5*k + 10 = j*k - 3*q. What is the highest common divisor of a and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6)*(6 - 3). Find the second derivative of 2*t**2 + 47*t**2 + 262*t**2 - 21*t**y + 137*t wrt t.\nAnswer: 580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2957\/20 - -148. Calculate the common denominator of -103\/98 and x.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = -p. Let r(q) = -10*q + 6. Let a be (-8)\/6 + -4 + 76\/12. Let n be r(a). Sort p, -0.4, n in ascending order.\nAnswer: n, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161 - -72. Let t = x - 153. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -395*q**2 - 4750.\nAnswer: -790*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330221 (base 4) in base 6?\nAnswer: 100533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 2*r**2 + 4*r - 1. Let l be a(3). Suppose -2*m + 0*m + 77 = 3*v, 0 = -l*v + m + 49. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, c: 7}. Give prob of sequence ccf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 12. Let w = -12 + t. Suppose -5*p = 4*z + 12, z = 3*p + 6*z + 15. Are w and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/35310 and -68\/4565?\nAnswer: 2930730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-2)\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*m + 610 + 508, -286 = -m - 2*v. Let l = m - 233. What is the remainder when l is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*i. Let c(m) = -m**3 - m + 3. Let r be c(0). Suppose i*v + r*v = 63. Calculate the remainder when 62 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 + 0)*(2 - 3 - 1 + (-6 + 4 + 3)*(-3 + 2 - 1))*(-80207*p + 80207*p + 54*p**4 + (-2*p**2 - p**2 + 2*p**2)*(-2 + 2 + p**2)).\nAnswer: -1060*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1501*t**2 + 1871*t + 13101. Is v(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 1 = -d, 0 = -m - d - 0 + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 6*m**2 + 9*m - 10. Calculate h(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 6046*r - 84895. What is h(14)?\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/781 and (-790)\/(-50)*4\/568.\nAnswer: 7810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2\/5 - 678*g\/5 - 114921\/5 = 0. What is g?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + ((-40)\/(-5) - 2). Let i be (1 + (-8)\/s)*-1059402. Let z = -1678206 + i. Round z to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484084 is divided by 43995.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -0.1, -40\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 3*f**2 + 4*f + 3. Let k be p(-4). Let u(m) = 30*m - 6. Let n(a) = 30*a - 5. Let r(g) = 4*n(g) - 3*u(g). What are the prime factors of r(k)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111203323012 + -1?\nAnswer: 111203323011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -90, -1\/30, -5, 3 in descending order.\nAnswer: 3, 1\/2, -1\/30, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 2*h**7\/21 - 7*h**4\/12 - 5*h. What is the third derivative of m(x) wrt x?\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from cre?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95 - 8283.\nAnswer: -8188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(13) + 1) + -1.\nAnswer: -6*sqrt(13) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5593*l**2 + 512*l - 2 + 393*l - 903*l to the form w + y*l + x*l**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 - 0.63. Let g = 0.7 + z. What is the second biggest value in -4, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -116. Suppose 2*b - 4414 = 4*q, -2*b - 164 = -q - 1266. Calculate the remainder when (q\/10)\/(-1) + 9\/15 is divided by a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -553, -879, -1251, -1687, -2205, -2823, -3559?\n\"Answer: -3*i**3 - 5*i**2 - 290*i - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53*p**4*y**2 + 3*p**2*y**3 + 6*y**3 - 52 wrt p?\nAnswer: 212*p**3*y**2 + 6*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*d**3 + 57*d**3 - 162*d**3 + 58*d**3 + 11*d - 46*d**3.\nAnswer: -3*d**3 + 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -5, 5, 0.1661, -199 in decreasing order.\nAnswer: 5, 0.1661, -1\/2, -5, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1330.884 to 0 decimal places.\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2237249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 34 + (-1 - -6)*(23 + -22). What is the greatest common factor of d and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -922*q + 10095 + 10189 = 0 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 5*o - 35, -2*o = 27*z - 30*z + 1. Solve -2*k - 13 = -z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103549\/46 <= 2250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1559 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14982, 28511, 42040, 55569?\nAnswer: 69098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w + 2922 = 5*w + 858. Solve -5*u = -33 + w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -4.5, 0.7 in decreasing order.\nAnswer: 21, 0.7, -4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64204624*h**3 + 68379085*h wrt h.\nAnswer: -385227744*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 5*y - 2. Let k be s(5). Let c be (0\/k + -1)*-5. Find the third derivative of a**5 + 0*a**2 + 0*a**c + a**2 wrt a.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 + w. Let g be h(-1). Let s = -1216\/5 + 244. Solve s - g*f - 2\/5*f**3 + 8\/5*f**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -3*z**2\/2 + 29*z - 18. Let x be 21*(-4 - -3) + 4. Let b(s) = -s + 10. What is x*b(l) + 6*a(l)?\nAnswer: -l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 1\/4*f**3 - 5\/48*f**4 - 4 - 9*f + 0*f**2 - 1\/80*f**5. Suppose u(y) = 0. What is y?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 2, 43.\nAnswer: -2, 2, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-132))\/(9\/(-27)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134133396 is divided by 52?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/56)\/(-9)*76\/342.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a factor of 235640482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**5 - 3205*l**4\/4 - 228975*l**3 - 49679055*l**2\/2 - 96635970*l - 3310. Find s, given that q(s) = 0.\nAnswer: -213, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - r**3 + 0 + 4 to the form x*r**2 + f*r**3 + o*r + m and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + sqrt(147)*-1*2 + sqrt(147) + -4 + sqrt(147) + 1 + (sqrt(147) - -2*sqrt(147)*-2)))**2.\nAnswer: 12096*sqrt(3) + 49932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 2*z - 9, -682*z + 344*z + 20 = -339*z + 3*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 39*n**2 - 227*n - 366. Calculate the least common multiple of m(-33) and 1970.\nAnswer: 5910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 996 = 2*t. Find the third derivative of 2*k**3 - t - 10*k**2 + 498 wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/5 - 4)\/((-1)\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, i: 9, n: 2, t: 5, s: 1}. What is prob of picking 1 t, 1 i, and 1 r?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**4\/12 - c**2. Let l be a(1). Suppose l = 2*m - 10. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 4*o**2 + 6*o - 2*o + 6*o**2 as w*o**2 + f*o + t and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.2. Suppose 7*v = 6*v + 4. What is the nearest to 2\/3 in o, v, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2460*h - 4426. Let d(g) = 2437*g - 4428. Let q(o) = 5*d(o) - 6*y(o). What is the first derivative of q(v) wrt v?\nAnswer: -2575","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -9. Let m(k) = 5*k**3 + 6*k**2 - 5*k - 11. Let s(p) = 11*p**3 + 12*p**2 - 11*p - 23. Let d(q) = 13*m(q) - 6*s(q). Let w be d(h). Does 1\/2 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3504, -6916, -10246, -13500, -16684?\nAnswer: -19804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 5*l + 3*l)*(-3*l + 138 - 61 - 55).\nAnswer: -6*l**2 + 44*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (9 - 3)) + -107 + 136\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -343, -7, -14, 26, -3 in descending order.\nAnswer: 26, 5, -2, -3, -7, -14, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3498, -7270, -11042, -14814?\n\"Answer: -3772*x + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*b + 495 = 47*b + 36*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 143*x**3 + 2*x**2 + 144*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) 76213 (c) 1\/7 (d) 0 (e) 2\/5 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -1176.\nAnswer: -1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*sqrt(363) - sqrt(363))*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16454 or 0.3?\nAnswer: 16454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*s + 22, 41*s - 37*s = -a + 14. Solve 0 = t + 5*z + 10, -4*t - s*z = 32 - 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1512 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(1100)*-2 + 1)**2*3.\nAnswer: 1200*sqrt(11) + 1320003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 661\/8 or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*a = 79*a + 16772. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 393 - 229. Let x = h - -8. What are the prime factors of x?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 3*v**5\/25 - 11*v**4\/30 + 4*v**3\/15 + 2*v**2. Factor p(a).\nAnswer: 4*(a - 1)*(9*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 + -85. Let h(f) be the first derivative of -f**4\/4 - 2*f**3 + f**2 + f - 611. Determine h(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, q: 3, v: 3, k: 2, a: 2}. Give prob of picking 3 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 95407970995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-8)\/(-12)*2\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c3 - -3?\nAnswer: -1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 106*m - 169*m - 2.\nAnswer: -63*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 11:58 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u + 2*u - 2*u)*(5*u - 2*u - 2*u) + 13*u**2 + 11*u**2 - 13*u**2 to q + d*u + t*u**2 and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2498 and 413971058?\nAnswer: 2498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 3:56 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, -1\/4, -299, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r + 46*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 j when three letters picked without replacement from jjqjqxqqjxjxqjqxj.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 x when four letters picked without replacement from {r: 1, b: 1, z: 2, e: 2, x: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 455*l**4\/2 - 2*l**3\/3 + 3*l**2\/2 - 469*l + 1009. Find the second derivative of q(k) wrt k.\nAnswer: 5460*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*k**2 - 5*k**2 + 0*k**2 - 8 + 3 to the form l*k**2 + u + m*k and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = y + 5*a - 5, -2*y - a + 9 = 0. Let x be 2\/(-4)*-1*y. Suppose -2*i = -3*d + 2*i + 20, -18 = -5*d - i. What is the highest common factor of d and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36457335*z**4 + 41152090*z?\nAnswer: 437488020*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -6) + -1 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 9*i**2 + 18*i - 28. Let z be m(7). Let s = -29590 + 6036373\/204. Let w = s - -1\/51. Which is greater: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -932918 divided by 74.\nAnswer: -12607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 3*o - 3. Suppose -6*b = -235 + 205. Calculate q(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 0.2, -1\/6, 14, -719?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 8:30 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 2 (b) -3\/2 (c) -1328\/7 (d) 0.1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a microgram in nanograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(121)\/sqrt(275)))\/(-4*sqrt(9)\/(sqrt(9)\/sqrt(3))).\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*sqrt(1088))**2 + 4 + 3).\nAnswer: -17436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 24 - d - 40 + 17. Let r(u) = -3*u + 1. Let g(h) = h - 1. Let p(z) = -2*g(z) - r(z). Calculate -i(o) + p(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63\/(-18)*22\/(-1) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/7 and 17\/72186350.\nAnswer: 505304450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -740733*-2.\nAnswer: 1481466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -1\/90*w**5 + 2\/9*w**2 + 7*w + 1\/9*w**3 + 0*w**4 + 0. Factor y(d).\nAnswer: -2*(d - 2)*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 318255601 and 2?\nAnswer: 636511202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 less than 409.129?\nAnswer: 422.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4691 - -4715. Which is the second smallest value? (a) 0 (b) 1\/10 (c) 3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 10*z**2 - 12*z - 6. Let y be t(-10). Suppose v = -5*p + y, 4*v + 48 = 2*p + 2*v. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 88. Let z be 2\/3 - d\/9. Solve -3*y + y - 18 = 4*s, z*y + 1 = s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4643*y - 16813 - 265329 = -471*y + 70724 for y.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -413?\nAnswer: -413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*n = -229 - 79 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - f = 5, 2*j - 29*f + 30*f = -7. Sort -4, 3, j in decreasing order.\nAnswer: 3, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - m + 7283 = 0, 6*z + 3*m = z + 18208. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 - -14689\/102. Find the common denominator of u and 3\/12 + (-20294)\/(-1752).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + u = 2, 6*h - h - u + 5 = 0. Let v(z) = -z**3 - z**2 + z - 1. Let o(r) = r**3 - 10*r**2 - 8*r**2 - 6*r + 21*r**2 + 4. Calculate h*o(p) - 4*v(p).\nAnswer: 3*p**3 + p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**6\/72 + m**5\/120 + m**3 + 3. Let p(z) be the third derivative of d(z). Give p(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 828 + 147. Let c = x + -930. Which is greater: c or 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/4 - 1384\/32. Let a be -4*(p\/16 - -2). Solve -n = a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 72*z + 5659. What is s(-82)?\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 844*i**2 - 14. Let n(c) = 169*c**2 - 3. Determine -14*n(j) + 3*z(j).\nAnswer: 166*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/21 (b) -0.334 (c) -5 (d) 143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1387348*y**4 - 11*y**3 + 143110373*y**2 wrt y?\nAnswer: -33296352*y - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 21 = 3. Suppose 0 = -j*r + 3840 + 906. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2764*q**2 - 4*q - 8. Let g be h(4). Round g to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s - 19*s + 37*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/21 + 6346*a**2\/21 - 2116*a\/7.\nAnswer: 2*a*(a - 1)*(a + 3174)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - 44. Let g be 140\/(-8)*12\/h. Suppose -2*i - g = 5*s, 6*s - 2*s + 14 = -3*i. Solve a - 8 = -3*c, -4*a - 2*c + 5*c + i = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 0*k**4 + k**4 + 8*k**2)*(3*k - 3*k - 3*k).\nAnswer: -3*k**5 - 18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4376, 17367, 39018, 69329?\n\"Answer: 4330*q**2 + q + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.22308 and 5.\nAnswer: 4.77692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*w - 7*w - 8*w + (3 - 2 - 4)*(-2 - 1 + 2)*(-3*w + 5*w + 3*w).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2\/11 (c) 58 (d) -0.196 (e) -0.3 (f) -2\/7 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -167 - -176. Sort u, -2, -2\/5, -1\/4 in descending order.\nAnswer: u, -1\/4, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u - 4. Is u smaller than -5\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (-2 - 0)) + (-64 + 53 - -14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*b - 1, 0 = -z - 0*b + b + 5. Let d = -2\/1067 + 1071\/2134. Let -j**2 + 0*j + 1\/2*j**4 + 0 + d*j**z = 0. What is j?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-171)\/171 + (0 - 15)*4\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Let j be ((-15)\/(-9))\/(3 + 40\/(-15)). Sort n, j, -5 in ascending order.\nAnswer: -5, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = 2*n + 4*b, 3*b = -2*n - 15. Let r be 2*((-5)\/(-3) + 8\/n). Solve -r*a + 2 - 1 = 5*j, 5*j = 4*a - 17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 5. Let j(g) be the third derivative of g**6\/60 - g**5\/12 + g**3 + 4205*g**2. Let m(z) = z**3 - z**2 + 1. Calculate i*m(d) + j(d).\nAnswer: -4*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 245 or 261?\nAnswer: 245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 1132464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 33576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -6*x - 1060. Suppose 1 + 14 = 3*v, 3*o = 4*v + x. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11673005 divided by 1\nAnswer: -11673005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*(a*(a\/(a\/a**(-7)))\/a*a)\/a)\/(a\/((a\/(a\/(a**(-8\/7)*a)))\/a)))\/(a**(-3)*a\/(a\/(a*a**0\/a)*a)*a))**(-2\/105))**16 assuming a is positive.\nAnswer: a**(384\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -592150, -1184300, -1776450, -2368600, -2960750, -3552900?\n\"Answer: -592150*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187854*d + 0 + 1 + 19 + 187976*d.\nAnswer: 122*d + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 70560*v**4 + 53413915*v**3 + 10027983415*v**2 - 30567302600*v + 2166000 = 0?\nAnswer: -380, 1\/14112, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 11:29 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.513*0.3101281\nAnswer: 0.1590957153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -c, 5*c + 29 = 5*r + 4 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n + 10. Let j be i(-3). Let d = 539 - 534. Suppose -1 = 5*g - 11. Sort j, -3, d, g.\nAnswer: j, -3, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 11. Let v = b - -5. Suppose 0 = -2*l + 34 + 6. What is the highest common factor of l and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + 5*w = -13*n - 31, -4*w - 29 = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -150?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1001\/3, -4\/3, -0.4, 106 in ascending order.\nAnswer: -4\/3, -0.4, 106, 1001\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1124221 - 4?\nAnswer: -1124230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -13. Let n = 9 + q. Let c = -2.1 + 2. Is n bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 + -1.99. Let b be ((330\/25)\/(-6))\/(1\/46). Let u = -101 - b. What is the smallest value in -8\/5, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n**2 + 9*n + 6. What is the units digit of i(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 6:31 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 502 - 77. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47068.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2347*z**5 - 2*z**4 + 2905*z**3 + 2*z - 5331198.\nAnswer: 46940*z**3 - 24*z**2 + 17430*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*7\/42*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 15. What is the third derivative of -h*w**2 + w**2 + 10*w**5 + 2*w**5 - 3*w**5 wrt w?\nAnswer: 540*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94 + 96. Solve -s + 5 = -h*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -18*i + 13*i + 8800, -2*i = -5*o - 3543. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpi when three letters picked without replacement from {p: 2, i: 2, b: 8, g: 2, v: 3}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 + 101. Let k(t) = -1627*t + 235969. Let b be k(145). Calculate the greatest common divisor of v and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b = -2*i + 18*b + 21052, 3*i - 31578 = -2*b. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 20 = h, 7*h - 2*h = 2*l + 100. Suppose 6*k - 6 = 24. Suppose -k*b + 179 = 29. What is the highest common factor of b and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1605586.\nAnswer: 3\/1605586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -33*z**4 - 321*z**3 - 591*z**2 + 945*z = 0.\nAnswer: -63\/11, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-31)\/2511)\/(7 - (-246)\/(-36)))\/(2\/60)\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 48*k = -37*k + 91290700. What is k rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-45)*(-12)\/(-4). Let l = -8 + 12. Let d be ((-3)\/18)\/((-1)\/3). What is the nearest to d in p, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in 2\/17, -0.5, -4, 1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 7*h. Let i be w(-8). Let f be (i\/(-6))\/(12\/(-2)). Let v = 8 - 7.7. Which is the closest to f? (a) 0.4 (b) v (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41380.\nAnswer: 2, 5, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/8 - (-280)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 139048*u + 14. Let w(b) = -69524*b - 7. Let j(n) = 4*c(n) + 7*w(n). Let q be j(7). Suppose s - q = 613325. Round s to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55346608, -55346612, -55346616, -55346620, -55346624, -55346628?\nAnswer: -55346632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 + 3*k**4 - 2*k**4 - 3*k**4 + 4 - 4 + (k**3 - k**3 - 4*k**3)*(k - 2 + 2).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**5 + 142*c**3*p**3 + 100*c**2 - p**3 wrt c?\nAnswer: 120*c**2 + 852*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 9*r + 1. Let w(f) = -2*f**3 + f**2 + 10*f. Let x(a) = -4*o(a) - 3*w(a). What are the prime factors of x(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000401512761 rounded to five dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 + 395\/(-10). Let q = -28 - o. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + sqrt(490)\/(sqrt(10)*-2))\/(sqrt(224)\/sqrt(8)) + -4.\nAnswer: -4 + sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1901 and -14\/19?\nAnswer: 36119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4560\/855 + 15\/9 - 52\/10. What is b in k + 1\/5*b**2 - 6\/5*b = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-15)*6 + (-258 - -255).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (20\/300)\/((-42)\/(-50)) and 5\/567?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 468711, 0, 2, -5.\nAnswer: -5, 0, 2, 468711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(12)\/sqrt(216)*3.\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -13*s. Let x(c) = -8028*c. Determine d(x(q)).\nAnswer: 104364*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*b - 5, 2 - 1 = -a. Let p be 1\/(-3)*b - -43. Let u = 42 - p. Is u < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 10, 5*l = m + 4 + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + (0 - -3))*-2. Let l be -4*2*w\/8. Suppose 6 = q + l*q. Solve 19 + 12 = q*h - 5*z, 2*z - 5 = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -75.6\nAnswer: -37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1207*a**4 - 896*a**2 - 107734*a + 35 wrt a.\nAnswer: -14484*a**2 - 1792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3)*(-6)\/(-4). Let n = 7\/66 - 79\/330. Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 0. Suppose 5*b + 4*i = -20, 4*i + 0 = -2*b - 8. Which is greater: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205240 (base 6) in base 12?\nAnswer: 9820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23434.71 micrograms in milligrams?\nAnswer: 23.43471","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**4\/12 - 2*t + 19. Let k(y) = 11*y. Calculate z(k(s)).\nAnswer: -121*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x - 5*n + 62, 2*x = -3*n + 138. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 52*z**2 + 252*z - 9539. Determine j(53).\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-6)*(-2 + -1). Suppose 2 = 2*a + t, 6 = -5*a + 5*t - u. Is 110\/2 + (a - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o - 7*o**2 + o**2 - o + 0*o**2 wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 4*c - 4. Calculate the greatest common factor of c and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11308)\/(-572) + 15\/65.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 + 1174*b - 1170*b - 309*b**3 - 62*b**3 as d*b**3 + p*b + t + m*b**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3744 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36.7 - -34. Let f = m - -3. What is the smallest value in -1, f, 1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + 94. Let i be v(28). Calculate the highest common factor of 190 and i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2 = -k. Let c(g) = -9*g + 162*g**2 + 330*g**k + 9*g + 1. Is c(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 36*p + 7. Let c(u) = -26*u - 5. Let w(o) = -7*c(o) - 5*k(o). Let g(v) = -6*v**2 - 1. What is w(g(x))?\nAnswer: -12*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 10*r**2 - 13*r + 17. Determine s(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 33 = 3*j, -5 = 1365*j - 1366*j for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110001010 - -10?\nAnswer: -1110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-120)\/(-25))\/(-3) - (2 - 4). Which is the smallest value? (a) 21 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + q = -3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*x + 2*x - 3*x)*(3 - 2 - 3) + 4*x - 3*x - 3*x + 4 - 4 + 2 - 2*x.\nAnswer: 32*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14888614 (base 9) to base 7\nAnswer: 120144541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -896042.525 and 2.\nAnswer: -896040.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**5 + 10*q**4 - 59*q**3 - 28*q**2 + 188*q - 112 = 0 for q.\nAnswer: -14, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in 0.1, -128\/5, -0.14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + 0 + (-4 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = 29*j - 533. Let z(i) = -9*i + 10*i**2 - 10 - 25*i**2 + j*i**2. Give z(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 348599 and 0.408.\nAnswer: 142228.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1378?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**6)\/m*m)\/(m\/(((m*m\/(m*m**(1\/10)*m)*m)\/m)\/m*m)*m))**(-9\/2) assuming m is positive.\nAnswer: m**(639\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 972298, 972174, 971972, 971698, 971358, 970958, 970504?\n\"Answer: c**3 - 45*c**2 + 4*c + 972338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.233 - 0.233. Which is the closest to -3\/7? (a) r (b) 4 (c) 0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 470 and 15839?\nAnswer: 158390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (0 - 142\/(-8)) + 2\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.461967333 minus -37.08?\nAnswer: 37.541967333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (-1 - 1) - 2. Suppose -2*b - 3*b - 255000 = s. Round b to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 17192899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 6:25 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**5 + 15128*d**2 - 1824*d**3 - 64*d**3 - 44500*d - 392*d**3 + 52500 + 164*d**4 - 528*d**2.\nAnswer: -4*(d - 21)*(d - 5)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-338403)\/381788*(-22)\/(-12)?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2651 + -756. Let z be s + 9 - (-4)\/(-1). What is z rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-2) - 3\/6. Let g be (134\/1)\/(h\/(-4)). Let t = g + -185. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 3\/7 (c) 1 (d) 5 (e) 341 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -15c?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -16. Let v = u - 2. Let z(h) = h. Determine z(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + 27. Let d(p) = -477756*p**2. What is q(d(r))?\nAnswer: -456501591072*r**4 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121000 + -2?\nAnswer: 2120221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452712594.\nAnswer: 2, 3, 75452099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66*u**2\/7 - 204*u\/7 + 18\/7.\nAnswer: 6*(u - 3)*(11*u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6) + (-241)\/(-186). Let a = d + -1967\/1550. Let n = a - 202\/75. Calculate the common denominator of 31\/9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -74*c - 1. Let z be u(-1). Suppose 2*a - 13 = z. Let h = a + -83\/2. What is the third biggest value in h, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*n - 173 = -3*a - 166*n, 5*a - 294 = -4*n. Suppose 0*t + 2*t + 32 = 0. What is the remainder when a is divided by (-200)\/t*24\/10?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 15*p**2 + 13*p - 19. Let j(r) = -8*r**2 - 6*r + 10. Let w(o) = 6*d(o) + 11*j(o). Let b be w(-8). What is u in 6 - 8\/3*u**3 + 50\/3*u**2 - b*u = 0?\nAnswer: 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*l**2*m**2*p + 7*l**2*m*p + l**2 - 4*l*m**2 - 9*l*m*p + 2*l*p wrt l?\nAnswer: -76*m**2*p + 14*m*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 3*k - 3. Let l(y) = -2*y**2 - 5*y - 5. Let z be (-8)\/4 + (4 - 1). Let g be ((10 - -2)\/4)\/z. Give g*l(x) - 5*t(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 12*a - 4. Let c(w) be the third derivative of 1\/12*w**4 + 0*w - 53*w**2 + 0*w**3 + 0. Determine g(c(d)).\nAnswer: 24*d - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k - 9 = 0. Suppose 0 = 4*z - k - 7. Solve -o + z*o = 5*v + 32, 4*o = -4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98799 (base 12) to base 6.\nAnswer: 4153113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6634 (base 12) to base 2\nAnswer: 10110000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/16)\/((-1)\/((-8)\/(-30)))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -317259992265 - -0.286\nAnswer: -317259992264.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9823c + 186?\nAnswer: 983c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrmrsmsmmsmmmsosm. Give prob of sequence morm.\nAnswer: 7\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 737153341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 17*s - 9*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = 10*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 - -9277555?\nAnswer: 9277557.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3855 = 4*o - 1436, 0 = o + 4. Is 38 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/9563493 and -95\/18?\nAnswer: 57380958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7)\/h*h)**(-8) assuming h is positive.\nAnswer: h**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -5 + 2 + 0 - -12) + -15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5 = -4*w - 102, p + 4*w - 139 = 0. What are the prime factors of p?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from nsssn?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 32*l - 124. Give h(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, 1 v, and 1 w when four letters picked without replacement from {v: 4, w: 3, s: 1, p: 3, x: 2, k: 4}?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**4\/3 + 8*l. Find v, given that u(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*u - 3, -u - 12 = 4*y - 0*y. Let o(q) = -2*q + 5. Let d be o(u). Let f(k) = -k**2 - 5. Let r be f(d). Round r to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -193 - -192 - (1 - (-32)\/(-14)). Which is the second smallest value? (a) 0.13 (b) -65 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 490 and 67311545.\nAnswer: 134623090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.9015881 + 0.69841222. Let w = 9.6 - a. Round w to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 893.978 - 896. Let j = 2 + l. What is j rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (136\/(-85))\/(4\/((495\/(-1419))\/((-3)\/2)))?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3435 or 1396?\nAnswer: 1396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 22344.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2 + 2*l - 1. Let z be b(-1). Let r be (-15)\/(-3) + z - 4. Solve -r*x = 3*a - 24, -a - 10 = -5*x + 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/348718770 and 133\/23247918?\nAnswer: 348718770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 7 = 0, 3*b + 14 + 27 = -4*r - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -66 (base 10) to base 14\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + -1 + -3)*5 + -4)*-5.\nAnswer: -275*sqrt(17) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/45 + (-176136762)\/459. Round u to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (5 + -8 + 2 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -35. Differentiate -d*w - 19 + 12 - 12 with respect to w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*r = 3, 3*v - r + 9 = -0*v. Let n = v + 3. Let f = -1 - n. Let c(d) = 2*d**3 + 2*d**2 + 2*d + 1. Calculate c(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2*55\/(-22) + (-70)\/(-36) and 49\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1142 divide 60036082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 4*z - 1. Let q(d) = 355*d**3 - d**2 - 4*d - 65. Let t(c) = -q(c) - r(c). Differentiate t(b) wrt b.\nAnswer: -1065*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 1. Let q(x) = -30. Let k(r) = -11. Let n(p) = -11*k(p) + 4*q(p). Give -m(a) - 2*n(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 6, 5, 2\/15, -2\/7, 3788?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2184754 is divided by 3130?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87052813423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69 or -2\/7?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -217, -5, 6 in ascending order.\nAnswer: -217, -5, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 340 + 305 = -u, 4*u = -3*g - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 23 = y, y - 13 - 4 = -3*q. Suppose y*n = p - 49, n + 2*n = -p + 59. Let r = p - 26. Does 23 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*p + 109520 = 0, 5367*j - 5372*j + 5*p + 136890 = 0. Is j a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1169 or 1171?\nAnswer: 1169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12615)\/(-27) + (-4)\/18. Suppose 4*i = -103 + g. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*m - 1198295 = -410775. What is the least common multiple of 1070 and m?\nAnswer: 24610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:27 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 12) + -2 + 9 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251850035 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35.37 - 2.81. Round x to 0 dps.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 6. Let m(w) = -27 + 11 + 8 + 7. What is a(v) + 6*m(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1. Let z(x) = -x**3 - 3*x**2 - 3*x - 5. Let k(h) = -4*g(h) - z(h). Suppose -2*u = r + 4, 2*u - 19*r + 4 = -15*r. Calculate k(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:49 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**5\/60 - f**4\/4 - 2*f**3\/3 + 5*f**2. Let t(r) be the first derivative of z(r). Let j = 1 + -6. Give t(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -862*r = -858*r + 4*x + 60, -6*x - 98 = -2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/2)\/((-1)\/(-2)). Solve -a*q - q - 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49916755, -49916754, -49916753, -49916752, -49916751?\n\"Answer: h - 49916756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 8*o**2 + 14*o + 151. Determine c(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c = 224. Suppose 3*v + v = c. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46213?\nAnswer: 37, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*g**3 + 160606*g**2*q - g*q + 6*q - 559876 wrt g.\nAnswer: -18*g**2 + 321212*g*q - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121772502 to the power of 1\/3, to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14452317*v**5 + 9*v**2 + 149108*v.\nAnswer: 867139020*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3 - 61505670*o**2 = 0. What is o?\nAnswer: 0, 12301134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - w**2 - w + 1. Let m(a) = a**3 - 2*a**2 + 4. Let b(y) = m(y) - 2*z(y). What is the units digit of b(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 974964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/(-4))\/((-15)\/(-240))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 - -93. Suppose -7683 = 4*p - f*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 7:29 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) + (-66548)\/77 + 2. Let l = -862 - w. What is the closest to -1 in 6, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 439088.1cm?\nAnswer: 4390.881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) 4 (c) -0.39 (d) 3\/7 (e) 5 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1552*q - 1537*q = -75. Let g = -0.02 - 0.38. Which is the nearest to -3? (a) -0.1 (b) g (c) q (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-1))\/(1\/(-6)). Suppose -3*r - v = -c, 5*r - 4*v + 0*v - 27 = 0. What is the second derivative of h + h**3 + 0*h**r + 0*h wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 314820345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19181 is divided by 3963.\nAnswer: 3329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 255*s**2 + 4*s - 30 + 251*s**2 - 504*s**2.\nAnswer: 2*(s - 3)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/21))**(-1\/11)\/(a*a**6)**(4\/15))**(6\/7) assuming a is positive.\nAnswer: a**(-4332\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, k: 8}. Give prob of sequence iiik.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = 2*g + 75. Suppose 0 = -j - g + 6. Let c be (-8 - -5) + j\/(-23). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2334051, 4668005, 7001959, 9335913?\n\"Answer: 2333954*k + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**7\/210 - z**6\/40 - z**5\/20 - z**4\/24 + 3*z**2. Factor f(p).\nAnswer: -p*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**2\/2 + 128067*b - 5467052163\/2 = 0?\nAnswer: 42689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 7*o - 4*o = -7*o - 32, -13*f - 4*o = 160 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 + (-136 - -135) - (29 - -2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**3 + 2*x. Let n(f) = -f**3 - 1. Suppose 4*j + 5*o = 29, -10 = -5*j - o - 0*o. Give j*r(q) - n(q).\nAnswer: -2*q**3 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + m - 1, -4*f + 4 + 0 = 4*m. Let v(d) be the third derivative of f + 0*d + 1\/33*d**4 + 4*d**2 + 1\/330*d**5 + 1\/11*d**3. Factor v(y).\nAnswer: 2*(y + 1)*(y + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u - 9*u + 2*u + 3*u. Let q(b) be the third derivative of -b**5\/60 - 2*b**2. Determine q(k(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 570\/(-17290) + (-3)\/78\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7053*x - 7032. What is q(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 6. Let a be t(9). Let f = 79 + a. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -569, -808, -1075, -1370, -1693, -2044?\nAnswer: -2423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, y: 2, s: 6, m: 2}. What is prob of picking 2 i and 1 s?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n - 11. Suppose -u + 0*p + 4*p = 18, -p = u + 3. Let d be o(u). Suppose 316 = 5*a - z, 2*a - 71 = 5*z + d. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - 52. Suppose 0 = 5*p + 4*h - 1404, a*p + 3*h - 5 - 558 = 0. Let o = -25 + p. Is o a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1837\/6 + -306. Let v(y) be the third derivative of -11\/96*y**4 + d*y**3 - 7*y**2 + 7\/240*y**5 + 0 + 0*y. Factor v(z).\nAnswer: (z - 1)*(7*z - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((1 - -1)\/(-10)) + 4. Let v be -4*3\/(-54)*r. Solve 0*h + 4*h - 2*f = 0, 0 = -v*f + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 7*k**4\/3 - 8*k**3\/3 + 38*k**2. Let j be s(5). Find the third derivative of j*c**2 - 135*c**2 - 13*c**6 - 114*c**2 wrt c.\nAnswer: -1560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6) + (6 - (-153)\/(-18))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(11 - 590\/50)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 52.6562 centimeters?\nAnswer: 526.562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4845*h + 4845*h + h**2 + 10066 + 1557 to the form y + i*h**2 + k*h and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(336\/(-18)))\/((-8070)\/(-1883)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (166995\/40)\/(-3) - 15\/40. Which is smaller: -1388 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2317561.18 + 0.3?\nAnswer: -2317560.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 19128000 to the nearest 100000.\nAnswer: 19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 14 + 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s. Let a(w) be the third derivative of -w**4\/8 - 494*w**3\/3 - 2157*w**2. What is m(a(k))?\nAnswer: -6*k - 1976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**4\/24 + 11*n**3\/6 - 2*n**2. Let u be (18\/(-4))\/9*-18. What are the prime factors of j(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 - (15 + 5 + -17).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + -72441177?\nAnswer: -72441205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-seven quarters of a millennium?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 27. Suppose -q*m = -m - 44. Is 11 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h + 0*h = 11*h - 0*h + x - 52, 3*h = x + 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 3 - 7*n**2 - 3)*(0 + 4 - 5) + (2 + 4 - 5)*(-n**2 + n**2 - 2*n**2).\nAnswer: 5*n**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*g**2 - 415*g - 57.\nAnswer: (g - 19)*(22*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 91\/(-28))\/(12\/(-8)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -v. Let a(f) = -f**2 + 5*f + 1. Let p(m) = -m - 1. Let b(t) = -2*a(t) - 4*p(t). Calculate b(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 9809250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17521 (base 10) to base 15\nAnswer: 52d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 11. Suppose y*a - 95 = 17. Suppose 29 = 4*j - 3*b, -3*j + 0*j + b = -a. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + -54. Let r = -69.3 - c. Let u = 0.6 - 0.8. Sort r, u, -1, 3 in increasing order.\nAnswer: -1, r, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*((sqrt(972) - (-1*(sqrt(972)*2 - sqrt(972)) - sqrt(972)))\/(sqrt(36)\/(6*sqrt(36))) + 2).\nAnswer: -648*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 3*l**3 + 21\/2*l**2 + 6*l - 2. Find b such that h(b) = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -237863 and -0.039.\nAnswer: 9276.657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473650873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2 - 66*x + 887. Give c(35).\nAnswer: 2252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 19. Suppose 2*p + 3*p - 42 = -4*d, -i = -3*d + 3*p. Suppose 3*a - d = 1. Round a to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 14 + 4 + (-3 - 2) + -5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -2 - (3 + 7 + -12 + -13)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 10458756*k**4 - 41838258*k**3 - 209123375*k**2\/4 + 16169*k - 5\/4 = 0.\nAnswer: -1, 1\/6468, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 407, 315, 207, 77, -81, -273?\n\"Answer: -r**3 - 2*r**2 - 79*r + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/71127 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3699*z**2 - 3697*z**2 - 3696*z**2 - 3*z**3 + 11092*z**2.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6909 is divided by 2534?\nAnswer: 1841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(19) - ((sqrt(190) - 1*sqrt(190))\/sqrt(10))**2).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m + m)*(-5 + 1 + 0) + 2 - 2 + 2*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 49 = 5*t. Let x be -1*(-1 + (2 - 3)). Differentiate -2*a**2 + 5*a**4 - 43 + 37 + x*a**t wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115533 - 1732993\/15. Factor -128\/15 - k*u**2 + 32\/15*u.\nAnswer: -2*(u - 8)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30512121\/1363 - -22386. Let p = a + 83203\/27260. Let v = 65\/348 + -90\/29. Calculate the common denominator of v and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millimeter in nanometers?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/8 - (-2 + 1). Suppose 0 = f + 2*f - 6. Let d = -2721 - -2721.13. What is the nearest to l in 0.4, f, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/137? (a) 0.56 (b) 3\/8 (c) -0.4 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 2*c**5\/75 - 7*c**4\/30 - 8*c**3\/45 + 28*c**2\/15 - 1196. Solve x(l) = 0 for l.\nAnswer: -2, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1166731 to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 23. Suppose 12*h + y = 34. Solve u = -u + h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8877 times -0.2?\nAnswer: 1775.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*i = 90799996, -4*m + 12*i - 9*i + 363199994 = 0. Round m to the nearest one million.\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408 and 19204118?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*j - 2*v + 1460, 1458 = 2*j - 2*v. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + y + 2. Determine w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01519 + 0.18481. Is -0.829 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 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: Convert 7.517912 hours to milliseconds.\nAnswer: 27064483.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 15) to base 14\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 2. Let q(l) = 13*l + 140. Let g(d) = 6*i(d) - q(d). Let t(c) = -2*c. Give g(t(p)).\nAnswer: 2*p - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 110405 + -2?\nAnswer: 110403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 15) to base 3.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 3*x. Let z be p(2). Suppose -z*i + 7*i - 1175 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 10*s + 11. Let r be l(7). Let m = 18 + r. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(sqrt(2) - ((sqrt(32) - sqrt(2))**2 + 4)) - (sqrt(16) + sqrt(2304)*-2)\/sqrt(8)) + -1.\nAnswer: -265 + 150*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -505949 divided by -1\nAnswer: 505949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h - 11*h - h**2 + 7*h - 72. Let d(a) = -3*a**2 - 35*a + 7. Let l(g) = -2*g**2 - 25*g + 5. Let j(r) = 5*d(r) - 7*l(r). Determine w(j(t)).\nAnswer: -t**4 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7090 - -33 - 3\/((-6)\/8). Let x = 70467\/10 + z. Calculate the common denominator of x and ((-2)\/(-16))\/((-1)\/(-2)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 1:06 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -686551143\/7496 + 91589. Are 0 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*h**(-1\/2))\/h)\/h)\/h)**(6\/19)*(h\/((h*h**(-2\/7)*h)\/h*h))**(-28))\/((h**(-4))**(-4\/17))**32 assuming h is positive.\nAnswer: h**(-3523\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136528 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -156.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**3\/2 - 144669*v**2 + 868053*v\/2 + 578694 = 0.\nAnswer: -96449, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 267479983.8 rounded to the nearest 10000?\nAnswer: 267480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3))\/j*j**(-1\/4))\/(j**(-4)*j*j\/((j\/(j*j**(-2)\/j))\/j)) assuming j is positive.\nAnswer: j**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1118 from 2.\nAnswer: -1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfa when three letters picked without replacement from {v: 4, k: 4, f: 1, c: 1, a: 1}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8212?\nAnswer: 2, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64437299 or -64437301?\nAnswer: -64437299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 3*c - 4*c)*(0 - 1 + 0)*(5 + 11 - 6)*(-3 + 3*c + 3) + 20*c**2 + 18*c**2 + c**2.\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23218 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -147*n**3\/2 + 1142736*n**2 + 653010*n + 93288 = 0. What is n?\nAnswer: -2\/7, 15548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(16)\/sqrt(512).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24396?\nAnswer: 2, 3, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0 - (7 + -8)) + (19 - -51 - 91).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*a - a - 2*w, 4*a + 5 = -w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 180*d**4 - 45*d**3 + 171. Let k(b) = b**4 - b**3 + 1. Let r(s) = -c(s) + 45*k(s). Find the first derivative of r(j) wrt j.\nAnswer: -540*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**4\/5 - 1527464*s**3\/5 + 194425291728*s**2\/5 - 1649724513704696*s - 57749885342888788\/5 = 0. Calculate s.\nAnswer: -7, 127291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.116, -9\/5, -9, 0.03 in descending order.\nAnswer: 1\/5, 0.116, 0.03, -9\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320033 (base 4) in base 15?\nAnswer: -3761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -274.8 + 274.8. What is the nearest to -0.16 in -2\/13, 0.4, d?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/24*(-6 + 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -380*p**2 - 67*p + 2?\nAnswer: -760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*o**2 + 12*o**3 - 6*o - 13*o**3 - 2*o**3.\nAnswer: -3*o*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - c7a?\nAnswer: -c7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 1 (b) -7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rucfuuuururfb. What is prob of picking 1 f, 1 u, and 1 c?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 678958 divided by -1.\nAnswer: -678958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/14 - (3270\/(-70) + 42\/(-49)). Let h = 557 + -293. Calculate the greatest common divisor of b and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -1)\/(((-27)\/6)\/9). Let q(t) = -t**3 - t**2 - 3*t. Let p be q(b). Let m = p - 102. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = 22 + 8. Suppose 15*k - 5*u = 11*k + 363, u - 185 = -t*k. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 4. Suppose -5*n + 61 = 5*s - n, 5*s - 33 = 3*n. What is d(s)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 96*k**3 - 96*k**3 - 97*k**4 - k**2 + k**2 + k**4 + (k**2 + 0*k + 0*k)*(-5*k**2 + 0*k**2 + 3*k**2).\nAnswer: -98*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1765678 and 78446?\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -2. Let i be (f - (0 + -2))*-1. Suppose 4*w + 14 = 5*d, 2*w + i*w + 3 = -d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -96, -320, -770, -1524?\nAnswer: -2660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310465137?\nAnswer: 3, 181, 571759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-4 - -3 - (-16 - -3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -242365 (b) 1 (c) 1\/4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4367)\/(-33))\/(1\/(-18)*-3). Let a = 801 - f. Let b(z) = -z**2 + 13*z - 9. Let o(s) = -3*s**2 + 38*s - 26. Let y(m) = 11*b(m) - 4*o(m). Give y(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*p**2*v**2 + 203225*p**2*v + 509*p*v**2 + 331*p*v - 5*v wrt p.\nAnswer: -12*v**2 + 406450*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 222 - 148. What are the prime factors of h?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 2*o**2 + 18*o - 3. Suppose 0 = -2*q - 3*z + 75, -2*z = -2 - 0. Calculate the remainder when p(-6) is divided by q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/2917369 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x = -2*u + 1687, -5*u = -5*x - 4215. Let n(i) = i**2 + 45*i + 25. Let g be n(-39). Let o = g + u. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-57858*p - 4*p**3 + 57858*p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 l when three letters picked without replacement from yybqbbalqlmlyqqayqqy?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w**2 - 942*w + 946. What is f(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/99 + -625\/198. What is the common denominator of u and (-20)\/35 + (-1160)\/(-462)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**2 - 11*h**2 - h**2 - 2*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 34842.8428 to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -339 - -1044. Let i = -45 + -25. Let h = i + d. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -137554 and 5.\nAnswer: -687770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlcl when four letters picked without replacement from rlrcl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t**2 - t - 2. Let q(f) = 17*f**2 + 315294 - 2*f + 315296 - 630596. Calculate 11*o(l) - 4*q(l).\nAnswer: -2*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from ooququoou.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 57*s = -184, -2*u - 527*s = -530*s - 17 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-70)\/(-77)*(-121)\/33.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 9*r + 16. Let f be s(-7). Solve -4*k + 8 = -f*z, -3*z + 8*z - 4*k = -8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1146)\/(-2674))\/(2\/42)*(-4)\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 28. Let j be (-100)\/36 + 3 + o. Factor 1\/3*i + j + 1\/9*i**2.\nAnswer: (i + 1)*(i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - m - 42 = 0, 2*j + 5*m - 5 = 5. Solve j*l + 3 + 7 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54733532?\nAnswer: 2, 7, 1954769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006200921705 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78 (base 13) to base 7.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8422 - 8415. Solve -59*f - 312 = -k*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 16*q**2 - 17*q - 2. Suppose 0*m = -3*m - 15. Let o(n) = n - 12. Let x be o(m). Let y be t(x). Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4039415 a multiple of 1001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -0.4383?\nAnswer: -4.5617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-42))\/(2\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 - 2915\/(-3180)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -56*d**4 + 4*d**3 - 6*d**2 + 6*d + 2831. Let m(n) = 112*n**4 - 8*n**3 + 11*n**2 - 11*n - 5662. Let c(t) = 11*j(t) + 6*m(t). Differentiate c(o) wrt o.\nAnswer: 224*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 2. Let k(l) = -2*l + 5*l - 5*l - 5 + 2. Suppose -3*z = 6 - 0. Let n be 6\/(-4)*1*z. What is n*j(u) - 2*k(u)?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -424\/825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/10 - (-32)\/160\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*w**4 - 210*w**3 - 3*w**2 + w - 17016937?\nAnswer: 36*w**3 - 630*w**2 - 6*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 4715896.\nAnswer: 3\/4715896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -q, -a = -2*a. Suppose -18 = -16*k + 13*k. Let o = k - 9. Is q at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 1 - 1191*j**3 + 2*j**4 - 1223*j**3 - 57*j + 2415*j**3 as d*j + q*j**3 + g*j**4 + l*j**2 + v and give d.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/60608 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 9*w - 7*w. Let p(m) = 58*m**2 + w - 28*m**2 - m - 29*m**2 + 9. Is p(-9) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480761018 a multiple of 551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 59257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times 4812\nAnswer: -4330.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/7)\/(7338\/8561).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 - 8.06. Let m = -7 - q. Which is the closest to m? (a) 0.3 (b) 0.2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -112\/9, 5, -2414?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 5 = 5*a. Suppose -a*r - 13 = -55. Calculate the remainder when 27 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + v + 3. Let q be k(-2). Suppose -q*f - 2836 + 115 = -2*y, 0 = y - f - 1362. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 9:56 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210011 (base 3) to base 6.\nAnswer: 10004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**6\/60 + f**5\/60 + f**4\/24 + 211*f**3\/6 + 3*f**2 - 2*f. What is the tens digit of w(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (2 - -7)) + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 80 = 280. What is the lowest common multiple of b and 21?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khkkkkkhkkh. Give prob of picking 1 k and 3 h.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9842)\/(-28120))\/(7\/(-8)). Which is greater: -10298 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - 2*sqrt(112))*6 + (3 + -1 + sqrt(112) - sqrt(112)) + 2)**2.\nAnswer: -192*sqrt(7) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26364578479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137738, -550937, -1239646, -2203901, -3443738, -4959193, -6750302?\nAnswer: -8817101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/6 + 4\/12 + -3. Suppose k = -5*t - 1 + 11. Let u be (-2500004)\/20 + t + (-18)\/10. What is u rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 110753*z**2 - 3*z - 8. Let h be a(7). Suppose 3*w = -5 - 10, -4*i = -4*w + 57707452. Let d = h + i. Round d to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v - 47. Let x be o(3). Suppose 4*q = 6*q + 118. Does q = x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 143205 = 5*u, -168580 + 54012 = -4*x + 5*u. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791.9732 seconds in milliseconds?\nAnswer: 791973.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.4 - -10.6. Sort u, -20\/9, -0.1.\nAnswer: -20\/9, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 18 = 5*v - 4*a, 2*v - 3*a = 19. Solve 3*n = 2*o - 6, -3*o + v*n = o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1747? (a) -0.5 (b) 1\/4 (c) 0.025 (d) 0.108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 + -71. Suppose -27 = -2*z - 2*v - 9, 5*z = -2*v + 30. Solve -j*x = -2*u - 16, 3*x - u = -z*u - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14215 - -31644?\nAnswer: 15427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 13\/933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/4))\/((t\/t**(2\/7))\/t))\/(t**(4\/5)*t*t\/((t\/(t*t**(-7)*t))\/t)) assuming t is positive.\nAnswer: t**(523\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 3*f**2 - f - 3. Let g be k(-4). Suppose 2*v + g = 55. Calculate the remainder when v is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0105160915 rounded to 5 decimal places?\nAnswer: -0.01052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 3*b + 1. Let r(z) = -150*z**2 - 540*z + 180. Let l(a) = 180*i(a) - r(a). Let k(g) be the second derivative of g**4\/12 - g. Determine k(l(j)).\nAnswer: 900*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -37.949 + 0.1\nAnswer: -37.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19534851*a**2 + 17218568?\nAnswer: 39069702*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/544 and -29\/64?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**2 - 10*j + 67. Calculate r(-8).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.26 + -0.04. Let x = -16 - b. Let o = x - -1.2. What is the second biggest value in -2\/17, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.78 + -5.78. Let h = 0 + 0.3. Let y(i) = -i**2 + 7*i - 4. Let j be y(7). Which is the nearest to -2\/3? (a) o (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 0.32, -2 in increasing order.\nAnswer: -2, 1\/7, 0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56161*q + 16 - 112266*q + 56133*q - 16.\nAnswer: 28*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33032930 by 16516465.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**3 + 119*o**2 + 133*o + 596. What is a(31)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 6:29 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)\/sqrt(3))\/sqrt(7))**2 + sqrt(5) - sqrt(15)\/(-4*sqrt(3)) - ((sqrt(500) - ((sqrt(500) - (-4 + 1 + sqrt(500) + sqrt(500))) + sqrt(500))) + 3).\nAnswer: -35*sqrt(5)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.16, -234510.\nAnswer: -234510, -1\/4, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 3. Let i(k) = -k - 2. Let r be (-3)\/(9\/24*-2). Let c(s) = r*i(s) + 3*a(s). Give c(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2 + 2 - 14*k + 13*k. Let v(q) be the second derivative of 1\/12*q**4 + 0*q**2 - 2*q + 0 + 0*q**3. Determine v(o(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (52\/10)\/((-788)\/(-260) + -3). Is c < 168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*n - 112*n - 19*n + 2 - 2 + n + (3*n - n + 0*n)*(-1 - 2 + 5) + 4*n - 2*n + 0*n - n + 4*n + 0*n.\nAnswer: -102*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**2 - 6*j - 24. Let k(x) = x**2 - x - 6. Let a(g) = -b(g) + 4*k(g). Calculate a(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 440\/3 - 2\/3. Let g be a\/3*(-6)\/4. Let p = -36 - g. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*v**3 - 74*v**4 + 55*v + 0*v**3 + 26*v - 18*v**4 wrt v.\nAnswer: -1104*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -2*q + 0*q**6 - 1\/20*q**5 + 0*q**2 + 0*q**4 + 0 + 1\/42*q**7 + 0*q**3. Determine y, given that o(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -21.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**4 - 6782990*d**3 - 15626*d**2 - 67.\nAnswer: 48*d - 40697940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226538, 226539, 226540, 226541, 226542?\nAnswer: 226543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -3a63297?\nAnswer: -3a63292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.36 + 16.76. What is the third biggest value in 50, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -18*o**3 + 6*o**2. Suppose 35*j = -28*j - 167 - 85. Let g(i) = i**3 + i**2. Give j*g(r) + y(r).\nAnswer: -22*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198097 is divided by 2477?\nAnswer: 2414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.778 - 0.052. Let i = y + -0.17. What is the fourth smallest value in -4, 1, i, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*m - 39. What is the highest common factor of m and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 8*(30\/8 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -1967089*a. Let n(i) = -i. What is n(f(o))?\nAnswer: 1967089*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5)\/f)\/f)\/f**(-11)*(f*f**(-17)\/f)\/(f*(f\/((f**(-5)\/f*f)\/f)*f*f*f)\/f) assuming f is positive.\nAnswer: f**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78447 or -78405?\nAnswer: -78405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/((-54)\/126)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 1 - 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.39753t to micrograms.\nAnswer: 59397530000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(12))\/(sqrt(6) + (sqrt(6) - (sqrt(150) + sqrt(150)*-1 + sqrt(150) + sqrt(150)))).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -245.4 + 36.4. Let f = -211 - q. What is the third biggest value in -8\/11, f, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/10)\/((-54)\/1215). Solve -2*a = g - 1, 3*a = -3*g - 0*g + z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 1. Let v(x) = -3*x**2 - 11*x - 11. What is 22*d(h) + 2*v(h)?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*258\/176 + 11\/((-440)\/(-15))\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4927*u = -4812*u + 3565 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.4 (b) -2.6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giitggazgiigttgg. What is prob of picking 1 g and 1 a?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61953887?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35.9 - 4116998537.\nAnswer: -4116998572.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -39. What is the smallest value in v, -0.06, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13066*g**4 - 6*g + 52?\nAnswer: 156792*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 - q**2 + q**2 + (-1 + 4 - 2)*(3*q**2 + 0*q**2 - q**2) + 1 - 1 - q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 12*b - 1. Let h be a(9). Find the second derivative of -5*d + h*d - 17*d**4 + 59*d**4 - 93*d**4 wrt d.\nAnswer: -612*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 419067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9416 - 2581. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1756\/(-30) + (-8071)\/17295\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3300 - -3300.11585. Let g = x + 0.204098. Let q = g + -0.32. Round q to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2. Suppose -d + 5*d = 8. Suppose 0*c + 4 = d*c. Determine k(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*z - 1185, 0 = -z - 2*i - 124 - 173. Let r = 314 + z. Calculate the least common multiple of r and 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 + (-15 - 60) - 26\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (0 - 0) - -3. Let i = -346 + 348. Solve -14 = i*j - g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*a**2 + 12*a**2 - 10*a**2 + (2*a - a + 0*a)*(-a - 3*a + 2*a) + 7131 - 10*a**2 + 8*a**2 + 30*a - 7127 as w*a**2 + n*a + c and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1188 and 1430352.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -12*r - 180. Let h(j) = -j - 2. Let o(z) = 2*h(z) - w(z). Calculate the remainder when o(0) is divided by 62.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.39 (b) -0.05 (c) 7 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 95*n*o**2 - 206*n + 38*o**2 + 5*o - 45 wrt o?\nAnswer: 190*n*o + 76*o + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 2*x - 1. Let u be d(2). Suppose 4*j = u + 17. Suppose -1 = 3*y - j. Solve -l - 4*s - 20 = l, -l + y*s = -6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 5:03 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-7\/2)*t*t)\/(t*t\/t**(-2\/49)*t)*t**(-1\/2)*t**2 assuming t is positive.\nAnswer: t**(-51\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 35*u**2 + 33*u + 76. Let x be s(36). Let y be (x\/(-20) + 6\/10)*-5. What is the nearest to y in 1, 0, -1\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.26 and 3.\nAnswer: -15.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3275014517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/2214 + 609\/(-5166)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 75.\nAnswer: -6, -5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 621347476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23336263 and 18707.\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -53 - (11 + -17 + -7 + 10).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10748*o + o**2 - 10750*o + 4*o**2 + 831 to a*o + q*o**2 + c and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1123 + 2*h + 143*h**2 - 26*h**3 + 54*h**3 - 143*h**2 - 26*h**3.\nAnswer: 2*h**3 + 2*h + 1123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5.7 (b) 1\/6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*w - 2*w. Suppose -12*n + 10*n + w = 0. Suppose n = -b + 7. Sort b, 4\/9, 9 in decreasing order.\nAnswer: 9, 4\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 804797\/4 - 201200. Let x = 4 + -2. Which is the closest to -1? (a) h (b) x (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.28, 4, -0.5, 1\/4 in descending order.\nAnswer: 4, 0.28, 1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*(-1)\/100)\/(-76*166\/(-23655)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 2)*12\/30*(-34025)\/(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a - 98*a = -158 - 2217 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 16. Let v(k) = -5. Determine -2*d(o) + 7*v(o).\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 - 21\/(-6) - ((-5769)\/18 - -2) is divided by 318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 - 90\/(-12))*1556\/3?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-2)*(-2)\/((-42)\/(-7)). Let y = -6 - -7. Sort k, y, 10 in ascending order.\nAnswer: y, k, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffc when three letters picked without replacement from {c: 2, t: 1, u: 4, o: 3, a: 2, f: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 6*d**3 + 7*d**3 - 40*d**2 - 4*d**3.\nAnswer: -3*d**3 - 35*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184478 times -0.4?\nAnswer: -473791.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-40))\/(3\/30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 4*t**3\/21 + 1590*t**2\/7 + 3163. Suppose u(r) = 0. Calculate r.\nAnswer: -795, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -3c6?\nAnswer: -3c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066640.7 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2138, 4274, 6410, 8546, 10682, 12818?\nAnswer: 14954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -178395?\nAnswer: 178392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 8*k**2 - 2. Let z(b) = b**3 - 16*b**2 + 2*b. Let w be z(16). Let y be w\/(-10) + (-20)\/25. What is the units digit of g(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2217)\/(-33) - -2) + (-1488)\/1364*7\/42?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Let o(v) = -11*v + 3. Let y(b) be the third derivative of -b**4\/6 + b**3\/6 - 2*b**2. Let c(k) = -3*o(k) + 8*y(k). Calculate c(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -2. What is the third biggest value in -1, -0.4, y, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmymymy. What is prob of picking 2 m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**4\/4 - 7*n**3\/3 - 7*n**2\/2 + 6*n + 5. Let d be z(-6). Let b be (1 + (-44)\/d)*3. Put 4, b, -4 in decreasing order.\nAnswer: 4, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -22. Let r(q) be the first derivative of -1\/6*q**2 + 1\/12*q**4 - 1\/3*q - h + 1\/9*q**3. Factor r(x).\nAnswer: (x - 1)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10001011?\nAnswer: -10001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49517 and 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/203 in -30, -0.5, 4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*c**2 + 22897*c - 22897*c + 417*c**2 - 211*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4)*(-2)\/4. Let g = -29 - -29.52. Let j = 0.92 - g. Which is smaller: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 223*b**3 + 37*b**3 - 225*b**3 + 413*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**6\/60 + i**5\/15 + 721*i**2 - 2. Determine f so that c(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*i*v*w**2 - 200*a**3*i*v*w + a**3*v**2*w**2 + 200645*a**2*i*v**2 - 6*a**2*v*w + 2*a**2 + a*v*w + a*w + 2*i*w**2 wrt v.\nAnswer: 2*a**3*w**2 + 401290*a**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1.4, -94, 0.4, 1\/3, 4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 2*a - 13. Let p be h(6). Suppose 0 = 5*d - 46 + p. Let o(j) = -102041*j**2 + 2*j - 5. Let g be o(d). Round g to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2 - (-45 + 35)) + -2 + 30\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -281\/2, 138, -8, -8\/3?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -1453.\nAnswer: -116.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 70, 68, 66, 64?\n\"Answer: -2*o + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/21 and -46\/2678433.\nAnswer: 18749031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155481 + -5292.\nAnswer: 150189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 742.9927ng?\nAnswer: 0.0000000007429927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*y + 104*y - 17*y**2 + 77*y**2.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.92 - -15.92. Is 0.11 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-112)\/(-6)*(114\/(-18))\/((-72)\/486) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 12, e: 3, t: 2}. Give prob of picking 1 d, 2 e, and 1 t.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*x + 77*x - 56 = 0. What is the least common multiple of x and 18?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2\/(-6) + ((-3)\/(-3) - 271502\/(-123))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-12 - -5) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12059.87cm to kilometers.\nAnswer: 0.1205987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6573 - 6565 = -4*l, 3*b + 2*l = 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k - 9. Let f be d(6). Let w be 12\/f*3\/2. Let s(g) = 4*g**2 - 2*g**w - 3*g**2. Let l(b) = -2*b**2. What is l(s(c))?\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -304156727*t**2 - 11*t + 17184844.\nAnswer: -608313454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013209 to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3228\/7 + 11575\/28. Let d = 48 + h. Solve d*f**2 + 0*f - f**3 + 0 = 0 for f.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 826827968 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -122 from 146.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**8\/420 + u**4\/8 - 2*u**3\/3 + 4. Let q(w) be the third derivative of x(w). Differentiate q(c) wrt c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 - 224. Let s be (l\/6)\/(-9) - 4. Sort -1, s, 4\/3, -0.4 in decreasing order.\nAnswer: 4\/3, -0.4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16030432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2248 and 3400?\nAnswer: 955400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**5\/20 - 7*x**4\/12 + x**3\/6 + 5*x**2 - 16*x - 3. What is u(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -5. Let h(t) = 3*t**2 + 3*t - 2. Let g be h(6). Suppose g = s*y - 2*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33856044 or -33856049?\nAnswer: -33856044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) -0.02 (b) 0.08 (c) 0.3 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 654578474 to the power of 1\/2, to the nearest integer?\nAnswer: 25585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104136 divided by -52068.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 37, 46, 69, 112, 181, 282?\n\"Answer: o**3 + o**2 - o + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3770352 is divided by 700?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -5*x**3\/6 - 3*x**2\/2 + 3*x. Let z be b(-2). Let h = 13 - 8. Solve -h*g + 2 - z = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.003, 2\/9, -5, 0.1, 0 in increasing order.\nAnswer: -5, 0, 0.003, 0.1, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 2*k + 1. Let b be q(-2). Suppose 0 = -0*v - 4*v - b*m - 2500, 4*m - 16 = 0. Round v to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3 = -3*y, -y - 4*o = o - 1. Put -16, y, 2 in decreasing order.\nAnswer: 2, y, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 6*f - 15*f. Suppose 4*d = -4*i + 44, -5*i = -4*d + 30 + f. Suppose 4*h = 2*q + 80, 2*h = -q + d + 34. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 2*z + 20 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 12 = 10. Suppose -5*b = -s*j - 27 + 9, -b = 3*j - 7. Suppose d - 1 = 6. Solve 0 = b*m - d*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2 - 815*g - 49049. Give q(-90).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18603*l**2*v**4 - 3*l**2*v**3 - 367299*l**2 wrt v?\nAnswer: 74412*l**2*v**3 - 9*l**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.8288725 to the nearest integer.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 2:24 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z + 4*p + 25 = 0, -2*z - 3*p - 6 = 0. What is the remainder when ((-20)\/(-15))\/(20\/675) is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.5, -1\/4, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -94, -225, -414, -667, -990?\nAnswer: -1389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 864*r + 1795 wrt r?\nAnswer: 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*c + 161 - 638 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505143 is divided by 167938.\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Let z = 1 + i. Suppose z*v - 4*r + 610 = -0*r, -v - 122 = 4*r. Round v to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 611 and 945687.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*w = 348*w - 276 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(5))*5 - sqrt(80)*1)**2.\nAnswer: -20*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from addbdbddqxuqbqbd.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1655 and 61862245.\nAnswer: 1655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 18. Let q = -0.5 - -4.5. Let j = -3 + q. What is the nearest to 1\/4 in 0.5, s, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 - 243 - 48 + 56)*(2*w - 2*w + w).\nAnswer: -314*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -29. Let r(s) = -s - 10. Give r(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11494888 + 11494887.93849717. Let o = -0.0615 - b. What is o rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-80))\/((-1)\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 4. Let u be a(-4). Suppose 2*l - 3*f - u = 9, 5*f = 4*l - 31. Let n = -2.9 + 3. Put 0.3, l, n in increasing order.\nAnswer: n, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2838.166mg?\nAnswer: 2838166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**7\/630 + c**6\/180 - 5*c**4\/12 + 3*c. Let s(r) be the third derivative of u(r). Let s(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17615 is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -1a79?\nAnswer: 1a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -412858, -825387, -1237912, -1650433, -2062950, -2475463?\nAnswer: -2887972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612 is divided by 43.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p + 9 = 4*s + 46*p, 0 = s + 5*p - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/19 - ((-46024)\/418 + 9). Solve p*h = 89*h + 72 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.5301 centuries in years?\nAnswer: 1653.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*y - 291*y + 146*y = 16, -6*z = -10*z - 0*y + 3*y + 40 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 0 - (-307 + 335)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3 - 5887*m**2 - 2858*m wrt m?\nAnswer: -6*m - 11774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 - 25*x**3 + 8*x**3 + 6*x**3 + x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**5 + 3326*m**4 - 228962*m**3 + 4622234*m**2 - 13585316*m - 214187680 = 0.\nAnswer: -5, 14, 31, 1592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/4))\/(d\/(d\/((d*d**(-5\/4))\/d*d*d*d)))*(d*d*d*d**(-2\/19))\/(d*d**(-2\/3)*d) assuming d is positive.\nAnswer: d**(121\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1234, -1231, -1228, -1225, -1222, -1219?\n\"Answer: 3*k - 1237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 + 0*c - c**4 + c**3 + c**3 + 0 + 8*c - 3 to the form u*c**3 + t*c**4 + l*c + y + s*c**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*s - 25. Let q(r) = 3*r**2 - 6*r - 7. Let d(n) = n**2 - 2*n - 2. Determine s*q(p) + 7*d(p).\nAnswer: p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxa when three letters picked without replacement from {x: 3, g: 3, a: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjjmnrjnmjaaaaajajn. What is prob of picking 1 j and 1 r?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1848)\/1155)\/((-8)\/50).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 191363*p**3 - 186*p**2 - 372. Let i(f) = 5172*f**3 - 5*f**2 - 10. Give -186*i(o) + 5*l(o).\nAnswer: -5177*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 5\/4 (b) -1\/3 (c) 3 (d) -0.1158 (e) -0.04 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -0.032?\nAnswer: -16.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 760253 (base 8) to base 5\nAnswer: 31112443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6*s**(-2\/23)\/s)\/((s\/(s*s**(2\/19)\/s))\/(s\/s**3)) assuming s is positive.\nAnswer: s**(882\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 3\/(-2))*-12. Let d(f) = f**3 - 5*f**2 + 2*f + 14. Let v be d(4). Let k(p) = -v - p - 7 + 1. Calculate k(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-123840)\/37152*3\/28\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631118 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*y + 3285003, -3*s + 4*s = 2*y - 1095002. Round s to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 154850*a**2 + 0 + 22282*a**2.\nAnswer: -132568*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) + 1906\/4. Suppose -4*c = -0*c - s. Let m be 34*2\/((-20)\/(-5)). What is the greatest common factor of c and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 878 divide 640519753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 233\nAnswer: 46.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7052699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13554 and 352413036.\nAnswer: 4518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 443052 (base 10) to base 14\nAnswer: b7668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5426158, 10852326, 16278494, 21704662, 27130830, 32556998?\nAnswer: 37983166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17708591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 167521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -4, -3\/2, -0.2, -0.347?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbwzzzbbzzjk. What is prob of sequence wbz?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**1*o)\/o)\/(o**(-3\/4)*o)*o**1*o*o**(-6)*(o\/(((o**(-4)*o)\/o)\/o))\/o*o*(o**(-1\/7)*o)\/o*(o*o*o*o*o**6\/o)\/o**(4\/7) assuming o is positive.\nAnswer: o**(337\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 7*m - 9. Let h(z) = -z**2 - z + 8. Let v be h(3). Let g be t(v). Suppose g*i = 1839 + 1494. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 26. Which is smaller: m or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-402)\/44 - -9)*(-4)\/(-3)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*d - 37. Let s = -9 + d. Let o = -147 + 152. What is the closest to -1 in s, -5, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16256 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (2 - (-3)\/(-12)). Let h be 4\/(-10) + 44\/60. What is the second smallest value in h, 3, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 4) + 2 - -2 - (-4 - 4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 123 = -2*u, 3*u = 5*v + 61 - 247. Let p = 26 + -12. Calculate the remainder when v is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5346 (b) 15 (c) -3 (d) 3\/4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/366336 and -47\/3571776.\nAnswer: 14287104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 0. Let f = -3 - s. Let z = -0.3 + f. Sort -1, z, 2\/19 in descending order.\nAnswer: 2\/19, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (467 - 7) + (-28)\/7. Let q = -302 + u. List the prime factors of q.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-405))\/((-2)\/((-8)\/(-2)))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 11*s**2 - 3*s - 15. What is the units digit of w(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8479041965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*r + 50 = 7, 8 = -4*r. What are the prime factors of 2 + a + -4 - -446?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(1375\/132)*(-6 + 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 18*i + 17. Determine k(15).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, h: 1, q: 1, x: 1}. What is prob of sequence xq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*-33*48\/(-97416)\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 85\/((-29240)\/1392) + -1*(-2)\/(-3)*-6\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3199468040 to the power of 1\/2, to the nearest integer?\nAnswer: 56564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.137 - 0.503. Let n = 19 - 20.7. Let b = r - n. What is b rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7605530 divided by 3802765\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2891346 * 0.4.\nAnswer: -1156538.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.0437?\nAnswer: 0.1311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/15 of a hour?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -1\/6*w**4 + 2\/3*w**3 - w - 1\/20*w**5 - 5\/2*w**2 + 0. Calculate the remainder when 41 is divided by t(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 - 8*r**3 + 2*r**3)*(2*r**2 - 9 + 9) - 3*r**5 + 2 - 2.\nAnswer: -23*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**2 - 408*k + 10404 = 0. What is k?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v + 5. Let d(l) = -l + 6. Let i(m) = 3*d(m) - 2*o(m). Suppose 0 = 2*j + j + 3, 3*u + j = 137. Calculate the remainder when u is divided by i(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/5)*j)\/(j\/j**6))\/(j**(-1\/4))**13)**(-18\/13) assuming j is positive.\nAnswer: j**(-1593\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25851\/120638*4\/18.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -157, -235, -309, -379, -445, -507?\nAnswer: -565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*q**5 + 76*q**4 - 2*q - 3*q**2 + q - 67*q**4 + 231 - 12*q**3 + 69*q**3 + 65*q**5 wrt q.\nAnswer: 120*q**2 + 216*q + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 3*h - 4. Let i be n(-5). Suppose m = -i*m + 35. Find the second derivative of 290 + 22*y - 30*y**m - 146 - 144 wrt y.\nAnswer: -600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 81*v**2 + 6*v + 13. Is o(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577876109 is divided by 490.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -2. Let g = -105 + 104.67. Let p = -0.23 - g. What is the second smallest value in p, m, 0.06?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 267119258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 89\/(890\/(-100))*((-8)\/5 + 0)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let t(d) = 281*d - 1951 + 1951. Determine v(t(g)).\nAnswer: 281*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-10\/3)\/a)\/a**(-19))**15)**(-22) assuming a is positive.\nAnswer: a**(-4840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013438846 to seven dps.\nAnswer: -0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3637*y**2 + 15044*y + 322670241 wrt y?\nAnswer: -7274*y + 15044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 5:54 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.6 + -5. Let a = 2.6 - 2.4. Let q = 18.29 - 17.99. Sort -3, c, q, a in ascending order.\nAnswer: -3, c, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2280437?\nAnswer: 19, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 + 162. Let s be 5\/(-3)*429\/(-65). Suppose 1837 + s = 22*q. Calculate the greatest common divisor of p and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 0*y - 4*y + 5*y - 2*y + 1 + 23*y**2. What is the remainder when 44 is divided by j(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*((r\/((r*r**(10\/11)*r)\/r*r))\/r)\/r))\/r*r\/(r**(-8)*r)*r assuming r is positive.\nAnswer: r**(131\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003206 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6*6\/(-20). Suppose -r - 4 = -3*r. Let c = -5 - -3. What is the closest to -1 in r, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 186, 1099, 2618, 4743, 7474?\n\"Answer: 303*x**2 + 4*x - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10\/141 (b) -10 (c) 1 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1922858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1235 = 14*k. Let m = 97 - k. What is the smallest common multiple of (-2)\/(-8) + (-142)\/(-8) and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7*c = -4*y + 17, -4*c = 3*y - 14. Let q be (y\/(-6))\/(1\/15). Let m = 3.91 - -0.09. Sort -0.2, m, q in decreasing order.\nAnswer: q, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5713*r - 14156 + 4645 = -129484 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8)\/6)\/((14\/(-738))\/7)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 15 = -46*v - 25 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**9*a*a**(3\/10))**50)**(-35) assuming a is positive.\nAnswer: a**(-18025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 1\/(-3)*3 + 8. Let o(z) = -9*z**2 + 9*z**2 - f*z**2. Let h(s) be the first derivative of s**3\/3 + 1. Give o(h(l)).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, t: 3, i: 1, f: 2, c: 3}. What is prob of sequence yf?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539)*1*5.\nAnswer: 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 331*l + 7. Let u(t) = -331*t - 6. Let d(z) = -6*c(z) - 7*u(z). Let a(g) = g**2. Determine d(a(k)).\nAnswer: 331*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1031031307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4*m + 52, -2*g - 26 = -m - 54. Put 0, g, -2, -5 in ascending order.\nAnswer: -5, -2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14352\/(-572) + (-2)\/(-22). Suppose -4*l - 31 = -11. Sort l, m, 2.\nAnswer: m, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from xrxjrrxjjjrxxr.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 6 = 9*r. Solve -3*h + r = -1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56.9264 - -1.2964. Let b = a - -57. Let g = b - 1.37073. What is g rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.03749l in millilitres?\nAnswer: 5037.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29372 = t + 3*o, 4503*t + 29348 = 4502*t + 3*o. Round t to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - 1.55. Let z = s + 0.367. Round z to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**4\/4 - 7*u**3\/3 - 9*u**2\/2 + 4*u + 5. Is v(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 0. Suppose -m*n + 6 = -3*n. Let z(x) = -2*x**2 + 2*x + 118 + x**3 - x**2 - 120. What is z(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9238897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -8*u**2 - 7*u + 7. Let x(d) = 4*d**2 + 4*d - 4. Suppose g + 3*a = -1, -7 = -g - 5*a - 6. Let q be (-6)\/15 - 66\/10. What is g*s(o) + q*x(o)?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1575, -3136, -4695, -6252?\nAnswer: -7807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2540 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 295.863711 and 253.\nAnswer: 548.863711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = d - 11, -5*d - 5*m = 18 + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002581338 rounded to six decimal places?\nAnswer: 0.000258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1929 + -522. What are the prime factors of l?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3564605 = 2*x - 20435403, -2*x = 5*b - 24000020. What is x rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72098\/1277 <= -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52147*s**5 + 4*s - 9 wrt s.\nAnswer: 1042940*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*sqrt(76)\/sqrt(2))\/sqrt(2).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.931*-3.\nAnswer: 8.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13178*n + 0*v + 13 = 13175*n - 2*v, 16 = -3*n + v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*n. Suppose n = -2*b + 65 + 13. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 637 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00195503 rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19402058?\nAnswer: 2, 13, 746233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -0.0251?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39\/44 + -15\/11. What is the common denominator of 11\/12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10089, -1, -2 in ascending order.\nAnswer: -2, -1, 10089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 308248103 to the power of 1\/2, to the nearest integer?\nAnswer: 17557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/150969650 and -1\/26100.\nAnswer: 2717453700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/(-45) + 6\/(-18). Let j = -7\/26 + -2\/65. Let k = t - j. Which is the second biggest value? (a) 1\/2 (b) 18 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25957007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 4*p - 9*p)*(0*p + 0*p + 2*p**4) + 4*p - p**5 - 4*p.\nAnswer: -27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8750, 70233, 237136, 562169, 1098042, 1897465, 3013148?\n\"Answer: 8785*x**3 - 12*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17422 is divided by 5806.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2780 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 70309 + -1.087?\nAnswer: 70307.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, r: 1, g: 1, c: 2, e: 3}. Give prob of sequence gcj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - j + 2*j**2 + j**3 - 6 + 3*j**2. Let o be f(-6). Let c be (-5)\/3 - (o + -1). Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asaaafssssfassfs. Give prob of picking 3 s and 1 f.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 2*v**2 + 2. Let j be z(-3). Let f(k) = 26*k + 326. What is the hundreds digit of f(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 30 = -10*p. Let d = 3 + p. Which is the closest to 3\/8? (a) -4 (b) 3\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*j, -1 = 4*f + 4*j - 33. Is (-4 + 3)*f\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125876.\nAnswer: 2, 31469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6940.504 rounded to the nearest integer?\nAnswer: -6941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 7:10 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12649 + 4144 = -81*c. Solve -163*s = -178*s + c for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b - 2*b)*(110*b - 546 + 546) - 7*b**2 + 4*b**2 + b**2 + (-1 + 1 - 2*b)*(-3*b + 7*b - 3*b) + b**2 + b**2 - 4*b**2 - 4*b**2 - 3*b**2 + 5*b**2.\nAnswer: -228*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**5\/150 + m**4\/60 + 3*m**2\/2 + 4. Let a(f) be the second derivative of o(f). Suppose a(v) = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (497\/142)\/((-1)\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 2:47 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 358?\nAnswer: 35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2493 = -3*a - 3*c, 2*c + 749 + 79 = a. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.482 rounded to one decimal place?\nAnswer: 13.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 5)\/4*-30. Let h = 11 - j. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97312102 to the power of 1\/3, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (35 - -1) + (31 - (36 + -33 + 32))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -609 - -621. Solve -4*t - i = 2*q, 4*q + 4*t + 4 = -0*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*sqrt(171)*-2.\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021020311 (base 4) in base 10?\nAnswer: -299573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**1\/(j\/(j*(j\/((j\/j**(-1))\/j))\/j))*(j**(-2\/9)*j*j)**(-2) assuming j is positive.\nAnswer: j**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/10)\/((-3)\/30). Let w be 14\/4*x\/(-14). Let l(o) = -o**2 + 7*o - 6. Give l(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/3 + 248*s**2\/3 - 1580*s\/3 + 2200\/3.\nAnswer: -4*(s - 55)*(s - 5)*(s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**6\/15 + 7*w**5\/4 + 49*w**4\/6 + 20*w**3\/3 + w + 78. Find s such that u(s) = 0.\nAnswer: -2, -1\/2, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and (1 + -17)\/(-2)*(4 + -2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -131*t**2 + 267*t**2 - 145*t - 131*t**2.\nAnswer: 5*t*(t - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24192281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g + 0*g)*(2 + 3*g**2 - 2) - 2714507*g + 2714507*g + 917*g**3 + 3*g**2.\nAnswer: 923*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -525, -1, -5, 4 in ascending order.\nAnswer: -525, -5, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -235*c - 11673. Calculate i(-49).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 20*z + 173. Let h(y) = 7*y + 86. What is -4*g(n) + 10*h(n)?\nAnswer: -10*n + 168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e50b + -9?\nAnswer: e502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 17 - (-2 + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11584243 and 20339?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -2551612\nAnswer: -2551628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 21 + j - 10*j + 9*j to the form d + m*j and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1739, 2164, 2593, 3026, 3463?\nAnswer: 3904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -1, 345?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -176\/9 + 1042\/45. Solve 8\/5 - 32\/5*q - s*q**2 = 0.\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3080192 is divided by 357.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 4*m**2 - 6*m - 7. Let a be q(-3). Solve -5*r - 27 = -a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5295334.022 to the nearest one hundred.\nAnswer: 5295300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189 and 162?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - v = 78, v - 20 = -5*y + 102. Suppose -2*c + 2*f + 12 = 0, y = -4*f + 5. Are c and -5\/24 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 25350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/67, -2\/9, 1\/3, 0.17, 0.5, -2\/11, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((3\/7 - 486\/(-189))\/(-1)). Solve 2*r - 3*t - 27 = -8, g = 5*r + 5*t + 15 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4862*x + 9722*x + 2*x**2 - x**2 - 4860*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 847 + 5?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 + -0.16975?\nAnswer: 194.83025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3515*g. Let t(c) = 432*c**2. What is z(t(b))?\nAnswer: -1518480*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + ((-648)\/(-32) - -6)*36?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -131. Let j = l + 126.9. What is j rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 3*v. Let y(s) = -s**2 + s. What is 2*w(l) + 6*y(l)?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5660547 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - (-3 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 v when four letters picked without replacement from lvvpvvlvvuulp?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*m - 3)*(1 + 4 - 3) + m - 4*m + m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p - 46*p + 1397827 = -7475422. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 839 - 12*z**2 - 839 + 9*z**2. Let f(c) = 5*c. Let h = 18 + -19. Let k(y) = -y. Let x(o) = h*f(o) - 4*k(o). What is x(t(i))?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 0. Let y = 5 + -5.5. Let j = -0.2 - -0.1. Which is the nearest to 0? (a) j (b) y (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n - 3*t + 340 = 0, 204 = 3*n - 5*t. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aajajjaajjja. Give prob of picking 1 j and 1 a.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 1:18 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 5*i + 4. Let j be t(-3). Suppose -k + 3*c = 2 - 1, 3*k - 5*c = -j. Sort 3, -2, k in descending order.\nAnswer: 3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -506, -518, -528, -536?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 1608682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33, 58, 83?\n\"Answer: 25*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 2*c**5 - 6*c**5 + 11*c**5 + (-2*c**4 + c**4 + 0*c**4)*(-c + 4*c - 2*c) + 2 - 2 - 2*c**5 - c**5 + 4*c**5 - 4*c**5 + c**2 - 2*c**5 - c**2.\nAnswer: -3*c**5 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 5:08 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16 - 1.84. Which is the nearest to q? (a) 1 (b) -2\/19 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 555133 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 -17 + -6c?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.66883615 + -39.33116327. Let x = 59 + p. Round x to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 11 = -5*z, 0 = d + z - 7 + 3. Suppose d*n + 5*p = 2*p + 231, n = -4*p + 77. List the prime factors of n.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 204 - 200. Let h(o) be the third derivative of 1\/3*o**3 + 0 + 3*o**2 + 1\/12*o**a + 0*o. What is the derivative of h(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l + 2. Let a(m) = m + 1. Let i(j) = -7*a(j) + 4*y(j). Let g be i(5). Let p = -7 + g. Is -2 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*i**2 + 549*i**2 + 105*i**2 + 811*i**2 + 68*i**2.\nAnswer: 1459*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 3*a - 8*a)*(-6*a + a + 3*a) + a**2 - 3*a**2 + a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 42 = -u - 4*y, 5*y + 25 = 0. Suppose 7 = 6*c - u. Suppose -491 - 280 = -c*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -10 - 5 + 22 - 12 - 47*b. Let l be u(-3). Let q = l - 65. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6) + 4\/3. Let r(s) = -5*s - 6. Let d(u) = 6*u + 7. Let a(l) = 4*d(l) + 5*r(l). Let v(h) = h + 3. Let m(t) = 6*a(t) + 4*v(t). Calculate m(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 19212*i + 7647480.\nAnswer: 4*(i - 4365)*(i - 438)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - t + 4*t)*(1 + 1 - 3) - 137*t + 44*t + 10*t - 74*t.\nAnswer: -158*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clclnnll. What is prob of sequence lncc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-5) - (-18)\/15. Let h be 5\/3 - t\/(-3). Suppose -5*w + 2*a = -16, -a - h = -4*w - 3*a. What is the remainder when 3 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/12*((-12)\/18)\/((-124)\/(-434))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o**2 + 35*o + 105. Let v(d) = 4*d**2 + 18*d + 52. Let w(a) = 2*k(a) - 5*v(a). Factor w(n).\nAnswer: -2*(n + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - w - 4*w = 3, -15 = 2*z + w. List the prime factors of (-81)\/(-6)*(-4)\/z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 666110 is divided by 7479?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-9)*3\/(2*3)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 4*x**2 + 4*x + 2. Let m be d(-2). Let h = m + 3. Let i = 4 + 2. Solve r + h = -4*o - i, -2*o + 2 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14\/15, -13, -2?\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 3 + 0)*(4 + 2 - 3) - 22 + 87 + 282)*(-2*s**3 - 3*s**4 + 2*s**3) to l*s + g + c*s**4 + u*s**3 + t*s**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-4))\/((-1)\/(-20)). Suppose -5*a = h*n - 255, 0*a - 4*a + 104 = 2*n. Determine q, given that -2*q + 52*q**2 + 0*q - n*q**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -474.63 rounded to the nearest ten?\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-2 + (-10)\/(-15)). Suppose -2*h + 9*b = 7*b + 884, 2*b = r*h + 1770. Let t = -254 - h. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (64\/96)\/((-4)\/30). Let v(n) = 3*n - 8. Let h(l) = 2*l - 5. Determine a*v(r) + 8*h(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 8*b**2 + 17*b - 25. Let h be g(-10). Let a = -1 - -5. Sort a, -5, h in ascending order.\nAnswer: -5, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 92, 192, 304, 428, 564, 712, 872?\n\"Answer: 6*i**2 + 82*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 + 2*f**2 - 5*f + 79*f**3 - 64*f**3 + 2*f + 4*f in the form n*f**4 + s + k*f**2 + y*f**3 + t*f and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q - 5. Let s(b) = 3*b. Give g(s(u)).\nAnswer: -9*u - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2 - 2*d + 11. Let u(s) = 5*s**2 - s + 10. Let r(h) = -5*u(h) + 4*y(h). Determine r(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6\/2 + 2 + 0 and (4\/5)\/(36\/270)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 18*f - 3*f + 23*f + 0 - 10*f + 5*f.\nAnswer: -3*f + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m*m**(-1\/4))\/m)\/(m*m*m**(-3)*m))\/(m**(-2\/3)*m*m**(2\/7)*m))**(1\/69) assuming m is positive.\nAnswer: m**(-73\/5796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 18 - 24. Let l be (-1*v)\/((-6)\/(-28)). Let w be (76 + 8)*(-16500)\/l. What is w rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*o + 5*o - 252 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uusgssghsdrgrd. Give prob of picking 1 d and 3 s.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 253822747 to the power of 1\/2, to the nearest integer?\nAnswer: 15932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 6*l**2 + 8*l - 4. Let g = 12 - 16. Let u be c(g). Put -2\/13, -11, u in ascending order.\nAnswer: -11, u, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5351276 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**7\/2520 + a**6\/60 + 3*a**5\/10 - 2*a**4 + 25*a. Let p(w) be the third derivative of q(w). Factor p(b).\nAnswer: (b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15914?\nAnswer: 2, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**5 - 2*r**3 - 2*r**2 - 3*r - 2. Let o(a) = -a**4 - a**5 + 1 + 254*a + a**3 - 253*a + 2*a**4. Let i(j) = -k(j) - 2*o(j). Factor i(l).\nAnswer: -l*(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**2\/2 - 1. Let x be 4 - 3\/6*4. Let s(v) = 3*v + v + 2*v - x*v. What is s(f(r))?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = 3. Let k(h) = -h + d*h - 4 + 0. Give k(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/633, 0.2, 85?\nAnswer: 2\/633","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(17\/5)*j\/(j**(2\/3)\/j*j*j)*j)\/(j\/(j\/(j**(1\/12)*j)*j))**(1\/11) assuming j is positive.\nAnswer: j**(-709\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*j**2 - 1468*j + 328.\nAnswer: -4*(j + 41)*(9*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -52 + 28 - -8\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1024 + -4?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from hbbbbbbhbbbbhbbbbhb?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140756173?\nAnswer: 140756173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2939189, -5878368, -8817547, -11756726?\nAnswer: -14695905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 49*f - 169. What is the units digit of u(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57374095 rounded to four dps?\nAnswer: 0.5737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/d**(4\/5))\/(((d\/d**(2\/31))\/d)\/(d\/(d*(d**(-9)\/d)\/d))) assuming d is positive.\nAnswer: d**(2521\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4051978104 a multiple of 6979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660540 is divided by 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i*v**2 + 13*i*z**2 + i*z - 6*i + 4*v**2*z - 12*v**2 with respect to z.\nAnswer: 26*i*z + i + 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 148103*h - 2073430. Determine n(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27088*k**4 + k**2 + 9618?\nAnswer: 650112*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 9:53 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 + 105*n + 48. Suppose 60*a + 296 = 52*a. Let q be p(a). Calculate the highest common factor of q and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 17*w**2 + 8*w - 3. Suppose -5*h - 1 = -21. List the prime factors of k(h).\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64865 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 134 - 0?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - 6*(sqrt(143) - 1*sqrt(143))) + -1*sqrt(143)*-4)\/(1*sqrt(99) + ((sqrt(132) - (sqrt(132) - sqrt(132)*1)) + sqrt(132))\/sqrt(12)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247615.\nAnswer: 5, 49523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8648.008 nanograms to micrograms.\nAnswer: 8.648008","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 1561 - 1553. Solve u = 15*g - 13*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251 + 151 + 179*i**2 + 100.\nAnswer: 179*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*y + 1293 = 977*y - 6039 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) -1\/3 (c) 4 (d) -0.1 (e) 5 (f) -8 (g) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(-4\/9))**(2\/21)*(n*n**(-1\/2)\/n*n\/(n*(n*n**6\/n*n)\/n))\/(n**0\/n)**(-22) assuming n is positive.\nAnswer: n**(-10757\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-15) - 2472\/30. Let a = 80 - y. Is 27 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 441*u**2 - u - 8. Let z(y) = 661*y**2 - 2*y - 13. What is 8*r(o) - 5*z(o)?\nAnswer: 223*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -5*x - 1, 3*l + 0*x + 4*x = 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*h**2*n**3*q**3 - h**2*n**2*q**3 + 414*h**2*n**2*q**2 - h**2*n**2 + 41*n**3*q**3 - 5 wrt n?\nAnswer: -96*h**2*q**3 + 246*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 10. Let m be d(13). Determine u so that u**4 + 13*u**5 + 9*u**3 + 8*u**4 + m*u**2 - 10*u**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-10 + 5) - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16467 + 18668?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25*(-3)\/15)\/((-2)\/(-4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -397055216, -794110431, -1191165646?\n\"Answer: -397055215*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-2)*6\/(-42)*(-14)\/133?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6652845 divided by -2217615\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -5 (c) -754\/7 (d) 0.0357 (e) 22\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5503?\nAnswer: 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -0.3 (c) -5\/3 (d) 2\/167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.28, 2, 2\/3, 15, 12, -191, 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 + 2.04. Let p = -1.78 + -0.02. Let j = -2.2 - p. Which is the third biggest value? (a) 0 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = 14 - 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 9:58 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z. Let k(q) = 11564*q. Give m(k(d)).\nAnswer: -23128*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 + 6*b + 2. Let o be t(-2). Suppose 0 = -z + 3. Suppose -2 = z*k - 8. Solve o*n + k = -6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 6. Let x be d(15). Is 15 a factor of (126\/27)\/(2\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 362 + 204 = -191. Let d(l) be the first derivative of 12 - 4\/15*l**u - 1\/20*l**4 + 0*l - 3\/10*l**2. Let d(t) = 0. What is t?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-6)\/81)*384\/256\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -254387900?\nAnswer: -254387896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333*u**2 - 192*u + 192*u.\nAnswer: -333*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 8. Let a be i(0). Let f(d) = -d**3 - 8*d**2 - 3*d + 5. Let r be f(a). Find y such that 29*y**2 - r*y**2 - 6*y**4 - 3*y + 9*y**3 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*r = 306*r - 55 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4095441 and 567.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 + 48*p - 1634. Give d(-33).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + -72 + (4 - -27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -21*z**2 - 6*z. Let v(y) = 21*y**2 + 5*y. What is -3*g(k) - 4*v(k)?\nAnswer: -21*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o + 1. Let j(x) = -1. Let n(z) = j(z) - k(z). Let u(d) = -4*d**2 - d. Let w be u(-1). Is n(w) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2 - 0. Let m(v) = 1 + v**3 - 6*v - 2 + 0*v**2 + 5*v**2. Let a be m(-6). Put 4, a, g in descending order.\nAnswer: 4, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8249588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 35. Let v(l) = -424*l + 3. Give k(v(q)).\nAnswer: -424*q + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(560) + sqrt(560))*4)\/(sqrt(500) + (sqrt(500) - (sqrt(500) + 5*(2*sqrt(500) + sqrt(500) - sqrt(500) - sqrt(500))))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*o + 82*o = 248 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -375 minus -1.22129?\nAnswer: -373.77871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*u + 1733 = -6439. Let o = u - 390. Do o and -164 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2919590 is divided by 1742?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -24 - (2 - (1 - 1)). Let i = t - -519\/20. Suppose 5*r - 9*r = -2*n + 22, 5*n + 5*r + 20 = 0. Which is bigger: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2 and 25\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006587 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 18. Suppose -g - 4*h - p - 8 = 0, 3*g = -2*h - 8. Let f = -5 + 9. Solve -2*v = m - f, -5*m + 3*v + 3 - 35 = g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(0 + sqrt(11)*-2))**2*1 + 1)*1.\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1389*y**2 + 2363*y**2 + 4289*y**2.\nAnswer: 5263*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1959.\nAnswer: 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 31 = 5. Suppose -63 = -4*a - 2*h - 23, 0 = -a + 3*h + 10. What is the second derivative of a*d - 19*d - n*d - 3*d**5 wrt d?\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*o + 603355 = 27*o + 599884 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5698 + 5703 - j + 5*j.\nAnswer: 4*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.152 to one dp.\nAnswer: 47.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/7 (b) -14 (c) -0.002 (d) -2 (e) 2.638 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a. Let p(x) = 21082*x + 12. Let y(f) = 21084*f + 10. Let z(b) = -5*p(b) + 6*y(b). Determine z(q(w)).\nAnswer: -21094*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -8212715\nAnswer: 8212719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24555411259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 3, -2, -143.\nAnswer: -143, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 5*x**4\/4 + 17*x**3 + 5*x**2 + 3*x - 367. Let f be o(-10). Solve -49\/2*p**f - 2*p + 0 + 14*p**2 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7387118 rounded to 3 dps?\nAnswer: 0.739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 + 11*u + 28. Give p(-4).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*3\/(-54) - 246\/1350.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**2 - 4467*l + 4494*l + 17*l**2 to b*l**2 + x + o*l and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -532 - -568. Is h < 248\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 6*n + 9. Let g be z(5). What is the greatest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2304\/(-21))\/32)\/(6\/21).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*f - 17. Suppose 12 = f*m - 4*k, 2*m = -2*m - 3*k - 9. What is t in -2*t**5 - 2*t**4 + m*t**5 + 6*t**2 + 2*t**3 - 4*t**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -4) + 3 - 7020\/1890.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) 3 (c) -44 (d) 4 (e) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l - l**3 - 1092 + 543 - 4*l**2 + 548 in the form r*l**3 + p*l + q*l**2 + m and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 2, d: 1}. Give prob of picking 1 s and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153966 or -153967?\nAnswer: -153967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 7*w + 2. Let c be g(-5). Let u(b) = b**2 + 19*b + 19. Let v be u(-18). Let m be (-2)\/(2 - (-15)\/(-10)). Sort c, v, -1, m in ascending order.\nAnswer: c, m, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239776.885 rounded to the nearest 100?\nAnswer: -239800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 4. Let m be s(-2). Let p be (m + -1)*(-3)\/(-27). Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -4*o, -5*o - 1 = -x + 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-33))\/(31\/(-11))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1726)\/1500 - (11 + -12). Let g = o - 2\/125. Which is the third biggest value? (a) 2\/7 (b) g (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - 2 + 3 - 13 + 6*j**3.\nAnswer: 4*j**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 2*y + 2*y + 1 - 2*y - 1 + (2*y + 0 + 0)*(1 - 4 + 5) + (7 + 16 - 3)*(-y + 2*y - 4*y) - 2*y + 2*y - y - 2*y + 2*y + 3*y.\nAnswer: -54*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4018*x - 3251*x + 1246*x.\nAnswer: -6023*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 6876472.9723?\nAnswer: -6876468.9723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a4 (base 14) in base 12?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*5\/12*1*6\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 7:10 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/18554957 and 6\/24540427?\nAnswer: 760753237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -559.9086045 to the nearest 10.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 12*x**2 + 11*x + 6. Let g be j(11). Suppose -3*u = -2*u. Suppose u*f = -f. Solve 0 = -3*v - g - f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011294944478 to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 6*j - 5. Let f be x(5). Is f less than 10\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 398753*f*v**3 + 17*f*v**2 + 7*f*v - 4*f + v**3 - 3*v**2 + 3768*v + 8 wrt v.\nAnswer: 2392518*f*v + 34*f + 6*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266973892 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = -2*v, -5*v + 12 = -3*l - 0. Suppose 31*t = -44 + 13. Let r = -8 + 8.4. Sort t, r, v, -0.6.\nAnswer: t, -0.6, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23139401 or 23139393?\nAnswer: 23139393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 1. Let h(b) = -7*b**4 + 14*b**2 + 68. Let m(p) = h(p) - 5*t(p). Find the first derivative of m(r) wrt r.\nAnswer: -28*r**3 + 38*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 0)*(-3*h + 9*h**2 + 3*h) in the form b*h + q*h**2 + d and give q.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(2\/(-1)) - -3. Let c(d) = 2*d. Let i be c(1). Suppose -3*g + 5*y = i*g - 10, -a*g = 2*y - 8. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47163*k + 57772.\nAnswer: 47163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -7\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2\/5)\/m**(-1\/9))**(1\/2))**(9\/13))**14 assuming m is positive.\nAnswer: m**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8772304 is divided by 7347.\nAnswer: 7333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 28*q**3 - 7*q**2 + 4*q + 4. Let d(l) = l**2 + 3*l + 4. Let v be d(-3). Let b be o(v). Suppose u - 6*u = b. Round u to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276, -551, -828, -1107, -1388?\nAnswer: -1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 23*h**2 + 10*h + 312. Calculate the remainder when 1556 is divided by i(-23).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4190 - -4194. Let f(n) = 30*n - 3. Let l(h) = 90*h - 8. Let i(v) = -8*f(v) + 3*l(v). What is the tens digit of i(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12675 is divided by 2533?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/((-1150)\/207))\/((-21)\/(-1))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8098893.104 to the nearest 100.\nAnswer: -8098900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/867 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhmxmhxh. What is prob of sequence xmh?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5 + sqrt(11)*-1 + 4 - (6*(sqrt(1100) + 0) + -1))**2.\nAnswer: -1586*sqrt(11) + 41100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 673098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -615 - -614. Sort -21, i, 1\/7.\nAnswer: -21, i, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/(y\/(y\/y**(4\/5))))*y**(-2\/31))\/(y**(-1\/2))**(-21) assuming y is positive.\nAnswer: y**(-3337\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36639 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q*q*q**(-2\/5)*q*q))**38\/(q\/q**(-4)*q*(q*q\/(q**4*q*q))\/q) assuming q is positive.\nAnswer: q**(-499\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - -8. Suppose -4*i + 87 = -21. What is the lowest common multiple of g and i?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12584.72 rounded to the nearest 100?\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 smaller than -1\/17078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.007, -0.3, 2110, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17884113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -213 + 173.1. Let x = -40 - h. Suppose -6 = 3*j - z, -j - 5*z + 0*z = 18. Which is the closest to 0? (a) -2\/3 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 * -8.847\nAnswer: -1.23858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 703514 by 3.\nAnswer: 703514\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26351 + 15032 + 20259 = -518*s for s.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**5\/20 + d**4\/2 - 3*d**2\/2 - 9*d. Determine q(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 - 18*q + 17. Give y(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.3 - 21. Which is the smallest value? (a) g (b) -2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 - -159. Let j = y - 35.11. Suppose -5*d - 5 + 26 = 4*i, -4*i + d - 9 = 0. What is the closest to 1 in i, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + 1110110000000001001?\nAnswer: 1110110000000010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxhxxxxxxxhh. What is prob of sequence hh?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 4*t - 10. Let a be (-22)\/(-20) + (-8)\/80. Let x(o) = -o + 1. What is a*v(d) + 6*x(d)?\nAnswer: d**2 - 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 3 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1853376 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -2, 0.5, -0.023, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1588*x**2 + 735 wrt x.\nAnswer: -3176*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5201 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 + 2*c**2 - 64*c - 60*c + 184*c = 0. What is c?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (14 - 13)*8\/(-20)*-35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1056 and 5793744.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7304?\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11023991 a multiple of 797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y. Let s = -8 - -26. Calculate the least common multiple of y - (2 + -3 - 3) and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 9*q + 2 + 1\/45*q**3 + 1\/150*q**5 - 1\/45*q**4 + 0*q**2. Let c(o) be the first derivative of b(o). Factor c(d).\nAnswer: 2*d*(d - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2228 + 1818.05?\nAnswer: -409.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000521681 rounded to seven dps?\nAnswer: -0.0000522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whahabawaehaaw. What is prob of picking 1 b and 2 h?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.43*-6\nAnswer: -2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/15)\/(136\/(-2380))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -503*y**2 - 489*y**2 + 993*y**2. Let z(o) = -39*o**2 - 17*o - 9. Let s(g) = -10*g**2 - 4*g - 2. Let u(i) = -9*s(i) + 2*z(i). Give t(u(n)).\nAnswer: 144*n**4 + 48*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*b + 14576 + 2169. Let f = b - 481. Is f a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7686244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/444 and -143\/25338?\nAnswer: 1875012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 2\/13 (b) 53\/14 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016127105 rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3 = 1. Let b be c\/(-4) - (-23)\/2. Suppose -2*q = 2*q - b. Solve -n - 4 = -p, -q*p - 12 = -6*p + n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.8 + -3. Let o = y + -28.8. Let n = o - -29.0055. What is n rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -8*u**3\/3 - 8. Let j(w) = w**2. Calculate v(j(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -890422 - 165.\nAnswer: -890587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -2.4\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 37. Suppose z*m - 3*o + 35 = 137, 0 = 2*m + 2*o - 28. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**4 + 621*c**3 - 32001*c**2 + 62127*c - 30750 = 0.\nAnswer: -250, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 18 + 17 + y + 2. Let k be a(0). Solve 4*t - c - k = -6*c, 5*t = 3*c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 1\/5 (c) -0.4 (d) 27.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 97 divided by -1601\nAnswer: -97\/1601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1700) + -1 + sqrt(1700)*2*-3)*4)**2 + 5.\nAnswer: 4800*sqrt(17) + 680149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*i - 78, 4*i - 38*k = -33*k + 57. Solve 0 = -3*n + 2*p - 6, 5*n + 2*p + 33 - i = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17198 - 17200. Which is the second smallest value? (a) -30 (b) -9\/4 (c) h (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -10, -5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and (-90)\/(-25)*(-5)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = r - 3*r, -o + 3*r = -0*o. Solve 229 = 4*p + 5*k + 194, -p - 5*k + 20 = o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - (sqrt(12) - -2*sqrt(60)\/sqrt(5))) + sqrt(300)*-4)\/(2*sqrt(36)\/(sqrt(6) - (4*(sqrt(54) + sqrt(6)) - sqrt(6))))*-6.\nAnswer: -924*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 x when four letters picked without replacement from xkkkkkkkxk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 9:19 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 4 + -4 - (4 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 107.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -15*j. Let t be (-1244)\/(-28) - (-20)\/35. Suppose 5*z - 116 = -6. Let h(p) = -t + 23 + p + z. Give h(a(d)).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, 1, -20, -5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1aadd + -2?\nAnswer: -1ab01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.193 + -0.193. What is the second biggest value in -0.4, u, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(288)*4)**2 + (0 + -2*sqrt(288) + sqrt(288))**2 + 3*(sqrt(288) + -1 + sqrt(288))**2 + 1 + -5.\nAnswer: -144*sqrt(2) + 45215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -21.2. What is the second smallest value in -4, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/10, 273, 0.2?\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 189? (a) -3 (b) -2 (c) -0.2 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -24*u**3 + u**2 - u - 1. Suppose 14 = -2*n + 4*w, -4*w = -5*n - 13 - 4. What is the remainder when s(n) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1836*u - 114822 - 10128 = -614*u for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2 - 96*h + 196. What is r(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnrmmrmmnmhnnnnrrn. What is prob of picking 3 m?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b8 - 1?\nAnswer: -1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 54530 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*l = 6, -2*c + 4*l - 36 = -6*c. Let s be (2 - 1)*c\/(-21). Let k = 86\/7 + -402\/35. What is the second smallest value in k, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59596580 divided by -908.\nAnswer: -65635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*t - 6, -2*i - 1 = -3*t - 19. Suppose 0 = -3*l - 5*d - 2, i*l - 5*l + 2*d + 20 = 0. Solve l*c = -4*w + 5*c - 14, 0 = -2*c + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 4*y + 20 = 0, 98*y = 103*y + 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-8\/13))\/(k*k*k\/(k**(-9)\/k)*k*k*k) assuming k is positive.\nAnswer: k**(-174\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from guguuuuuuugu. What is prob of sequence gguu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 4. Let l be y(4). Let k be (-1 - l) + (-2 + 0 - -5). Suppose 4*w - 498 = -5*a, 0 = 7*a - k*a + 10. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from kckcfkccnfkfzck.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7 (b) 1\/28 (c) -29252 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 116*h + 941. Let o be g(29). What is the highest common divisor of o and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o + 1. Calculate n(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 5.6 and 16261 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5759, -0.2 in descending order.\nAnswer: 0.5, -0.2, -5759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 902060499 divided by 300686833?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + (51 - -11) - 20.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98466, 196924, 295382, 393840?\nAnswer: 492298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one fifths of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.096166 rounded to 3 decimal places?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 12\/953 (c) 6.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 1, 52, -4, 14.\nAnswer: -4, 1, 3, 5, 14, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**2 + 10*k + 7. Let i(t) = -5*t**2 - 11*t - 6. Calculate -4*a(c) - 5*i(c).\nAnswer: c**2 + 15*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42465 by -1.\nAnswer: 42465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15040926.999745 - -15040981. Let o = 0.64 + -54.64. Let s = o + b. What is s rounded to five dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 8. Suppose 0 = -i*l - 0 + 8. Suppose -7 = -3*a + l*a. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -s - t, 0 = t + t + 2. What is the least common multiple of 5 and -3 - s*20\/4?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -14*s**3 + 21*s - 7. What are the prime factors of o(-4)?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*m = 102 + 336, 4*p - 4*m = 584. Is 33 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2261857.\nAnswer: 13, 257, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -2. Let t = -3 + 4. What is the greatest common factor of t and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224 and 321412?\nAnswer: 2571296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38142.565 + -38144. Sort -1, -5, w.\nAnswer: -5, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 23*g + 2. Let u be z(2). Let q = 67 - u. Calculate the remainder when 74 is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -11*n**3 - 5*n**2 - 5*n - 5. Let m be (-308)\/12 - (-2)\/(-6). Let p = m - -21. Let v(j) = 27*j**3 + 12*j**2 + 12*j + 12. Determine p*v(f) - 12*r(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-136)*(16 + (-1148)\/70)*-85.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5 - 232*q**4 + 236*q**3 + 232*q**2 - 234*q = 0.\nAnswer: -117, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + 9*j**2 - 9*j. Let w(u) = u**3 - 10*u**2 + u - 14. Let s be w(10). Let x(h) = h**3 + 4*h**2 - 4*h. What is s*z(g) + 9*x(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + m + 1)*(-4*m**2 + 2*m**2 + 4*m**2) - 6*m**3 + 4*m**3 + 3*m**3 - 2482*m - 1219*m**2 + 2480*m + m**3 - 104 + 1208*m**2.\nAnswer: 4*m**3 - 11*m**2 - 2*m - 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20108704 and 1848.\nAnswer: 60326112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 132125 - -5?\nAnswer: 132133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d, -3*v = -4*v - 2*d + 32. Let s = v + -19. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 + 31*v + 12. Let c be p(11). Let q(x) = x**3 + 9*x**2 - 6*x + 47. Let n be q(c). Solve 3*b = i + 2*b + 7, 3*i = -4*b - n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0 + 8. Let m be (27\/9)\/(3\/h). Let w(c) = c**3 + 5*c**2 + 5*c + 5. Calculate w(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 5*f**5 + 95*f**4 - 20*f**3 - 380*f**2 = 0.\nAnswer: -19, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (25 - 15) + -21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 13*i**4\/24 - 7*i**3\/6 - 12*i**2. Differentiate c(p) wrt p.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20318.\nAnswer: 2, 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8728 and 13672412.\nAnswer: 27344824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42331*f**5 + 384*f**3 - 849805113*f?\nAnswer: 846620*f**3 + 2304*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v + 27. Let g(w) = 4*w - 27. Let r(y) = -6*g(y) - 5*p(y). Let x be r(9). What is the smallest common multiple of 34 and (-160)\/x - 2\/(-9)?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 10) to base 7\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 35 = 49. What is the highest common factor of f and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*t + 260 = 148 - 464 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l**2 + 469*l - 82. What is t(66)?\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31.7 - 0.231.\nAnswer: 31.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 - 335 = 36*k + 65 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -12, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/10*-5*1. Suppose -a + 2*b + 22 = 2*a, 3*b = -3*a - x. Find the common denominator of 43\/3 and (2\/a)\/(33\/550).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 10:49 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -41. Suppose -5*t + 364 = -w. Suppose 0 = -5*p + t + 53. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1\/(-1) - 126\/(-2835)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 959, -1\/3, 3, 0.3, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*-2*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37046094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2652861 and 766.\nAnswer: 2653627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 227808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7964.098 kilometers?\nAnswer: 7964098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -93*k - 3427. Let d be m(-37). Solve -d*c = -24 + 38 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -4 + (0 + 1 - 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435671314 to the power of 1\/2, to the nearest integer?\nAnswer: 37890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 t, 1 d, and 1 f when four letters picked without replacement from abaxdatbaftt.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2104182, -4208360, -6312526, -8416680, -10520822, -12624952?\n\"Answer: 6*i**2 - 2104196*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-14)*208320\/1984?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 less than -10?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 12:51 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 3:00 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 26*h + 26. Let w = 79 - 77. Let a(d) = 5 - 10 + 2 - w - 5*d. Calculate 16*a(b) + 3*s(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 + 27*t - 4. Let m be a(13). Suppose m*i = 14849 - 512. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -7. Suppose -p = 5*o - 113. Let s(n) = n**2 + 3*n - 39. What is the remainder when s(9) is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4, 0 = 4*s - 0*n - 3*n - 293. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-4))\/(5\/(-10)))\/(-2)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*q**4*u + 16205375*q**3*u - 6443013*q**2 + u wrt q?\nAnswer: -192*q*u + 97232250*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -33, 1\/3, -0.1, 6, 5, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 41. Suppose -5*y + 4*y + r = -2782, 25 = o*r. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 189.8 (b) -6 (c) 0.4 (d) -0.4 (e) 0.3 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, f: 7, n: 1}. What is prob of sequence ffn?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289, -449, -687, -1003, -1397, -1869?\nAnswer: -2419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r - 243. Let o be s(11). Let b be (-115)\/(-30) + 7*(-5)\/o. Solve -3*l = 3*f + 15, 0*l - 2*f = b*l + 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 385 and 114135?\nAnswer: 1255485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399 - 395 = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37196.091ns in hours?\nAnswer: 0.0000000103322475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1339162622 is divided by 4808?\nAnswer: 4806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 21*f**2 + 5*f. Let w(r) = -20*r**2 - 3*r. What is -3*d(t) - 4*w(t)?\nAnswer: 17*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -8 + 221. What is the remainder when r\/(-3) - 5\/(-15) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - o**3 + 0*o**3)*(-1612 - 6585 + 832).\nAnswer: -7365*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3950, 1, 13 in ascending order.\nAnswer: 1, 13, 3950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4 = -12. Suppose 3*r = s*g + 26, 17 = 5*r + 7. Which is the second smallest value? (a) 4 (b) g (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -19*q + 10. Let o(r) = -67*r + 35. Let s(k) = 7*a(k) - 2*o(k). Let p(i) = 2*i + 373. Determine p(s(f)).\nAnswer: 2*f + 373","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/11 or 1509?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -24*p + 136. Let v(w) = -28*w + 135. Let o(h) = 2*u(h) - 3*v(h). What is the derivative of o(z) wrt z?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10810 and 1315?\nAnswer: 2843030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 16. Let u be h(-14). Suppose 3*p - 5 = 4*v, u*p - v = -6*v + 11. Suppose -4*x + p = -5. Solve -a - x + 4 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5289398 is divided by 293828.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*z + 251*z - 8 + 15 + 428*z - 8.\nAnswer: 577*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1572241585?\nAnswer: 5, 127, 2475971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48717054 by 6.\nAnswer: 8119509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 785 - -1d?\nAnswer: 7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0836 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1622 + 4725*d**2 + 1740 + 945*d**2 - 173*d**2 - 20*d**2 wrt d.\nAnswer: 10954*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128 * 1.9.\nAnswer: 243.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1481363 to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1927394 and 434?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w + 38*w - 4*s + 842 = 0, 0 = -2*w + s + 565. Calculate the highest common factor of w and 376.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*(0 - (-15)\/25). Suppose -l*z + 4 + 86 = 0. Let w = z - 4. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + -9?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - a**2 + 5. Let h be c(0). Suppose 7*g - 32 = h*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 -16133 + 70902 = 58*b + 741*b - 32322 for b.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 118*d - 138*d + 15860. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -676, -2658, -5960, -10582, -16524, -23786?\n\"Answer: -660*i**2 - 2*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 + 52 = -11*f. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*b - 1 = -8, 0 = -3*r + 2*b + 7. Suppose w + 764 = r*j, -j + 2*j - 140 = -3*w. Is j a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**3 - 2*q - 2. Let m be f(-1). Suppose m*c - n = 3*n + 312, -c = -3*n - 70. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000d (base 16) to base 14.\nAnswer: 35ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3858 - -6858. Does 30 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12445*d**3 - 8*d**2 + 6215*d**3 + 6388*d**3 as z*d + o*d**3 + s*d**2 + a and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 2)*(-2 + 0 + 3)*(3*x**3 - 4*x**3 - 10*x**3) as u*x**2 + d + p*x**3 + c*x and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4690.157 rounded to the nearest 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 82 and -1.7.\nAnswer: -139.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 71, 137, 177, 179, 131, 21, -163?\n\"Answer: -2*t**3 - t**2 + 83*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 11 = 14. Suppose -20 = -4*z + 4*u, 4*z + 0*u + u - 15 = 0. What is the first derivative of -2*n**z + 3*n**4 - 4 + v wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1539193753 rounded to the nearest one million?\nAnswer: -1539000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(11)*2))\/sqrt(3).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 2. Let s = y - -2. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h - 767 + 245 + h + 270 + 252.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*t - 20 - 11 = 0, 2*t = 4*z + 34 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + (33 - (15 + 29))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1135167 divided by -11?\nAnswer: 103197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.8 - 15. What is the nearest to 1 in 3\/4, 2, p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 4088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72831 and 20889255.\nAnswer: 229781805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*h - 13*h + 4425 = 7*h - 47*h for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddffddmmdddfdd. Give prob of picking 1 d and 1 m.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**2 - 60*t + 616 = 0.\nAnswer: -22, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.16 - 0.1600028. What is c rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74710638 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2439910?\nAnswer: 2, 5, 11, 41, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 19 - 20 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/36 and 29\/7524951.\nAnswer: 90299412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 3*j + j + 14, 0 = 2*d + j + 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-8 - (13 + -27)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tchtschctthtshtth. What is prob of picking 1 c and 2 t?\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585690 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + 5. Suppose 2*r + 0*r = 86. Suppose -4*f + 131 = r. Calculate the least common multiple of s and f.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34, -46, -58?\n\"Answer: -12*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3492 or 15372?\nAnswer: 3492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023109 rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 449799 and 29409.\nAnswer: 4409379597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10000043 (base 5) to base 9\nAnswer: 128171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1240 (base 7) to base 4.\nAnswer: -13111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -510, -997, -1476, -1941, -2386, -2805, -3192, -3541?\n\"Answer: l**3 - 2*l**2 - 488*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 - x - 6*x - 2*x**2 - 11*x - 434.\nAnswer: x**2 - 18*x - 434","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.17992274\nAnswer: -0.35984548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d = -20*d + 27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (38\/6)\/(2\/12). Let a = 41 - 15. Let f = 31 + a. What is the greatest common factor of f and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -18. Solve -m*x + 3 = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*h - 3*a - 7 = 179*h, -2*a = 2*h - 22. Calculate the highest common factor of 20408 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -737 divided by -382248.\nAnswer: 737\/382248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((3*(-5 + 2*sqrt(1620)))**2 + 2).\nAnswer: -292735 + 16200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -29*p**3 + 11*p**2 + 13*p. Let k(r) = 14*r**3 - 5*r**2 - 6*r. Let v(q) = 6*j(q) + 13*k(q). Find the third derivative of v(c) wrt c.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 5 (c) -4\/3 (d) 0.3 (e) 0.5 (f) -888\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -6 - (4 + -10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 + -38)\/(4\/(-84)). Let d = 14 + 3. Suppose d*f - k = 14*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 337007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a3 + a5a?\nAnswer: 9a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n**5\/5 - 1342*n**4\/5 + 41220*n**3 - 6344776*n**2\/5 + 2711200*n - 672000 = 0. Calculate n.\nAnswer: -300, 2\/7, 2, 50, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.508 - -4.492. Let j = 1.1 + -1.15. Let d = 0.25 - j. Which is the nearest to l? (a) 5 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184368 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0361 + 0.0361. Let u = 0 + 0. Let x = w + u. What is the closest to -1 in -5, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/3 + 40342*s\/3 - 73910108\/3 = 0. What is s?\nAnswer: 2038, 18133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1108*y - 144 + 15 + 11*y + 125.\nAnswer: -1097*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 236. Let t(a) = 72*a + 594. Let i(d) = c(d) - t(d). Determine i(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2540350 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.180315441 rounded to three decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -52\/3. Let u = -3.15 + -0.85. Let x be 1*(-4)\/(7 + 1). Which is the closest to 1? (a) x (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + 4. Suppose -20*l = -r*l + 129. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -3. Let q = i - 7. What is the third biggest value in 0.02, -1\/9, q?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x. Let z(i) = 7*i**2 - 3103061. What is z(h(s))?\nAnswer: 28*s**2 - 3103061","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (11271\/(-4335))\/(2\/(-10))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 11:14 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 14*w**2 - 257*w + 32. List the prime factors of s(25).\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 274598041*c**3\/9 + 273802633*c**2\/9 - 264944*c\/3 + 64.\nAnswer: (c + 1)*(16571*c - 24)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416*b = 419*b + 30645. Is 4 - 13 - -1 - b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -20. Let q = n - 12. Factor 8 + 12*c - 9*c**2 + q*c**2 + 0*c**2 - c**2.\nAnswer: -4*(c - 2)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20815323 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 197 - 167 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f**2 - 6*f - 6. Let y(j) = -20*j**2 - 17*j - 17. Let c(r) = 17*m(r) - 6*y(r). Let u = -4 + 6. Let g(p) = -2*p - u*p + p. Calculate c(g(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + -20021020?\nAnswer: -20021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 3:59 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94\/18 - 40\/180.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894715123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -224 (b) -20\/49 (c) -129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -24*k + 62. Let s be a(-25). What is s rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -8. Let g = 3382 - 3386. What is the closest to 2\/7 in g, t, -11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*l**2 + 72*l**2 - 18*l**2)*(0*l**2 + 3*l**2 - 2*l**2).\nAnswer: 36*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43572804 to the nearest integer?\nAnswer: 6601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + 12. Let q(r) = -r**3 + 9*r**2 - 10*r - 2. What is the tens digit of q(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**3\/3 + 4*b**2 + 2*b - 2. Let q be p(-8). Let l be ((-5)\/25)\/((-2)\/q). Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 71857974 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(0 - -1)*-1. Let k(i) = -3*i**2 - 6*i - 3. Let p(m) = -13*m**2 - 23*m - 11. Let o(y) = -9*k(y) + 2*p(y). What is o(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 15 = 5*f. Let m be 0 - f - (0 - 2). Solve -m*o - o + 25 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/t**(2\/9)*t)\/t*t)*t\/(t*t**(4\/11)))**19)**(-9) assuming t is positive.\nAnswer: t**(2147\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8580 - 8580.8877. What is w rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*a**2 - 2*a**2 + a**2 - a**3 + 2*a**3 as z*a**3 + i*a**2 + m*a + y and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-384)\/(-144) + ((-264)\/153 - 1)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 78456 = -78356 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 2*l**2 + l**2)*(0 + 4 - 6) + 0 + 12*l**2 - 13*l**2 - 4 - 2*l.\nAnswer: 5*l**2 - 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 37*l**2 + l. Let c be o(-1). Let a be 2\/(-9) - 812\/(-9). What is the greatest common divisor of a and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4362 and 9.\nAnswer: 13086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/46171 - 412111\/79137094. Calculate the common denominator of -49\/2 and w.\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 83*l + 8418 = 108*l for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*p + 258*p - 610*p + 70*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 2*p**2 + 0*p**2)*(2534*p**2 - 4564*p**2 + 634*p**2).\nAnswer: -1396*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 4*v = -12*h + 1234, -2*h = -v - 423. Suppose -4*w = -5*t - 71, 58 + 22 = 4*w + 4*t. Calculate the greatest common divisor of w and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 64*i**2 - 442*i - 1156.\nAnswer: -2*(i - 17)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -145*z**3 - 2611*z**2 + 107*z + 2243. Give a(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 8 = 0, 0 = 2*q + 3*p - 419 + 417 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -3. Let g(t) = t - 2. Let i be g(7). Suppose -c = -h*c + i*j + 46, -2*c + 28 = 4*j. What is the lowest common multiple of c and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-7))\/((-4)\/28). Let m(y) = -y**2 + 8*y - 8. What are the prime factors of m(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -890403526*k**3*r**6 - k**3*r**2 + 5*k**3*r + 595*k*r**2 - k - 3*r**2 - 6*r wrt r?\nAnswer: -106848423120*k**3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -12\/1447?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 4*z + 45. Let b be g(9). Let m be 2\/(0 + -2) - 1. Let u be m\/((-10)\/4 - -2). Solve -4*i + d - 7 = b, u*i + 3*d + 11 = -0*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3355a (base 11) in base 9?\nAnswer: -73574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3238*d*f**3 - 40884*d*f**2 + 4*f**3 wrt f.\nAnswer: -19428*d + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14960, -30217, -45472, -60725, -75976, -91225, -106472?\nAnswer: -121717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2724\/420 - 9) + 3 + (-6)\/21\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 + 812*o\/11.\nAnswer: 2*o*(o + 406)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48413701.99 + 0.\nAnswer: -48413701.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 8149a?\nAnswer: -81498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*o**3*s*w**3 - 3*o**3*s*w**2 - 3*o**3*s + 28*o**3*w - 2*o**3 - s*w**3 wrt w.\nAnswer: 78*o**3*s*w - 6*o**3*s - 6*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**3 + 16*g**2 + 228*g - 377716 with respect to g.\nAnswer: -3*g**2 + 32*g + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001111111000000111110 + 101001?\nAnswer: 11001111111000001100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -0.04, 412\/11, 2\/9, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82653 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 9 = 15*r - 5*g, 25*g = 13*r - 20*g + 71*g - 21*g + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.6175 - -0.0555. Round w to one dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**2 + 33040*a - 823500 = 0. What is a?\nAnswer: 25, 8235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3721478 + 0.3718. What is o rounded to 5 decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 3*w, -3*c = w - 7872. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*(-4)\/(-20))\/(1\/(-12)). Which is greater: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 68*k - 311. Let x be a(63). Suppose 4*g + p - 108 = 0, -p = -0*g - 3*g + 74. Suppose 5*l - 49 - g = 0. Solve z = x*z - l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1598 - 1625 = 3*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -7*i + 3. Let s be i\/3 - (-192)\/36. Is s less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 3*s**2 + 10*s - 14. Let w be r(2). Solve 3*u - 18 = w*k, 0*u = -3*u + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m = -22*m - 5. Let g = 5 - 2. Suppose g*h - 19 = m. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**3 - 185*c**2 - 350*c = 0. Calculate c.\nAnswer: -35, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 7. Let k be n(5). Let p = -30 + 17. Put -5, p, k in decreasing order.\nAnswer: k, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -19 + 8 + 22 - 7 - -16.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 871 and 1005.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x + 5. Suppose 4*u = z + 7, -2*z + x*u - 47 = -5*z. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152 - -270. Suppose 0 = 2*r - x - 235, -2*r + 5*r - x - 353 = 0. Let t = r - z. Sort t, 1, -2 in decreasing order.\nAnswer: 1, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-12) - (-2)\/8. Let j(h) = 10*h**2 + 2*h + 1. Let x be j(z). Calculate the highest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-p**2 + 0*p**2 - p**2)*(3 + 3 - 4) - 78*p + 2*p**2 + 78*p)*(-p + 0*p - 1 + 0) in the form g*p**2 + z*p + b + j*p**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 3*a - 4*a + 2*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*v, 4*m + 1884 = -v - 3*v. Let u = 477 + m. Solve i = u*i - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35520 by -6.\nAnswer: 5920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 - 183*c**2 - 134*c - 3888. Calculate u(-91).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13761111?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 2 - 1\/6*o**3 + 0*o + 0*o**2. Factor m(a).\nAnswer: -a**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -834767, -834769, -834771?\nAnswer: -834773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 603*l - 4313. Give i(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*w + 163*w - 50*w - 59*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v - 13. Let f be i(5). Let p(z) = -z + 24*z**2 - f*z - 3*z - 25*z**2. Is 8 a factor of p(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/182601 and -71\/67630.\nAnswer: 1826010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*c + 51 = 0, -2*w = -0*c - 4*c + 130. Let z(p) = -8*p**2 - 2*p + 2. Let q be z(2). Let g = q - w. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 4*u + 12 = 0, 2*w - 166*u + 9 = -163*u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1560*i**4 + 643*i**3 - 5207*i + 690 wrt i.\nAnswer: 18720*i**2 + 3858*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t + 0*t + 0*t - 5*t + 2*t + t + (-t + 6*t - 4*t)*(0 + 1 - 2) to k*t + w and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 260*g + 1 - 18*g**2 + 63*g + 37*g**2 + 3*g**3 - 19*g**2 to the form f*g**2 + r*g + t*g**3 + y and give r.\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48120 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413 = 2*t + 3*u, u - 627 = -3*t + 4*u. Suppose 0 = 3*z - 6, -z - 3*z + t = r. What is the highest common divisor of 80 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/2 - 892196*v**2 + 1784393*v\/2.\nAnswer: -v*(v - 1)*(v + 1784393)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -5105455?\nAnswer: 5105503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3231294 is divided by 201.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34692 and -25?\nAnswer: -867300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 1:12 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from cwivccciggcvcigw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 13*n**2 - 14*n + 3. Calculate a(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -133995c?\nAnswer: 1339966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z**3 - 44926366086*z**2 + 44926366086*z**2.\nAnswer: -19*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -17, -1\/18, -7\/613, 1\/8?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 928 and 1376?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 6, j: 1, r: 3, o: 3}. What is prob of picking 2 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -16*h + 11*h. What is the biggest value in h, 0, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 841.769 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 42\/10 - 2\/10. Let g(c) = -c + 2. Let d be g(z). List the prime factors of 1 + d\/(-1) + 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 2*p**3 - 2*p + (-2*p**2 - 2*p**2 + 5*p**2)*(3*p + 0*p - p) - 16*p**3 + 40*p**3 - 10*p**3.\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)\/(d**(8\/5)\/d)*((((d**2\/d)\/d)\/d)\/d*d)**10)\/((d\/(d**(-2\/7)\/d)*d)**(1\/8)\/((d\/(d*d\/d**3*d)*d)\/(d*d**(-3)*d))) assuming d is positive.\nAnswer: d**(-4203\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 139*y + 1750. Is m(40) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + c = 5*j + 16, 3*j - 4*c - 12 = 0. Solve v - 2 + 1 = -d, 8 = j*v + 2*d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 2*z - 4. Let m be q(-3). Let n(r) = 1928*r - 3. Is n(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 7:37 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97.7 - -92. Let k = 10 + -10.7. Let x = u - k. Which is the closest to -1\/3? (a) x (b) 0 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -2. Let b(d) = -d**2 - 10*d - 6. Let c be b(l). Let f = c + 9. Calculate the smallest common multiple of 2 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 9180930296972 + -4.3\nAnswer: 9180930296967.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:37 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*n - 25, -n + 2*n - 13 = -5*c. Suppose 4*o - n = 13. Suppose -o*f + 2*f = -24. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4718.\nAnswer: 2, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v**2 - 20*v**2 - 17*v**2 - 9*v**2.\nAnswer: -29*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -140, -195, -346, -641, -1128, -1855?\n\"Answer: -8*i**3 + i - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**2\/7 - 5817884*t\/7 + 5817888\/7 = 0. Calculate t.\nAnswer: -1454472, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2532541 (base 6) to base 14\nAnswer: 37b77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46e (base 16) in base 9?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 3239213?\nAnswer: 9717639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/42 and -43\/9?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 t when three letters picked without replacement from ttttttttltttlttttllt.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 3\/4, -2\/3, -403, -50963.\nAnswer: -50963, -403, -2\/3, 1\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570584 is divided by 222?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 108414, 216716, 324902, 432966, 540902, 648704?\n\"Answer: -o**3 - 52*o**2 + 108465*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0924417kg?\nAnswer: 0.0000924417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 770070 + -339909. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 5*v + 2. Let a be c(3). Suppose -o = o - a. Suppose -m - m + 42 = 3*i, o = 2*i. What is the highest common factor of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * -104\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z + 63 = -48 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.29012583 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-267 - 11272139\/(-42222))*((-16)\/(-10))\/4.\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 7346?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6)*18\/(-6). Let x(f) = -28*f - 1. Calculate the remainder when x(r) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 4, -0.383, 1\/6, -49?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6657 = 9*v - 15771. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242769.9kg to grams.\nAnswer: 242769900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -45. Let m be (-3 + 0)*15\/(-9). Suppose 2*i - 5 - 5 = -4*p, -m*i + 25 = 3*p. Solve 2*s - o = -p*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = v + 6*f - 15, 3*f - 5 = 2*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 9 - 5)*(212*g - 212*g - 22*g**3).\nAnswer: 308*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -598 greater than -598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2021, -1\/6, -0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2627, 3, 0.7, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39037 is divided by 4879.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {m: 1, s: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, 4, 33, -2\/23, -720, -6?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 40. Let k = -24 + v. Suppose 2*y = k*s + 24, 0 = y + s + 3*s + 14. Solve -o = -2*g, -6 = -y*g - o - o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2052) - -2*sqrt(2052))\/sqrt(3).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g - 8. Let o(r) = -9*r + 17. Let l(j) = 5*f(j) + 2*o(j). Let v be l(9). Let u = v + -5. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 10*i**2 + 15*i - 5. Let h(n) be the first derivative of -5*n**3\/3 - 4*n**2 + n - 88. Let x(k) = -2*a(k) - 5*h(k). Factor x(z).\nAnswer: 5*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3005536829, 3005536830, 3005536831, 3005536832, 3005536833, 3005536834?\nAnswer: 3005536835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 9:49 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -1898 (c) 0.5 (d) -2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -181*v**2 + 4*v**2 - 2*v**3 + 5*v**2 - 58*v**2 + 11*v**3 as f*v**2 + x + c*v**3 + o*v and give f.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*1*(-3 - -1) + 5. Let a be (11 + 57\/(-6))\/(w\/20). Solve -a*h = -9*h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1351 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 78*c - 234. Let z be m(3). Solve 5*f - 5*w - 1 + 41 = z, -2*w - 5 = 5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 63. Let p(c) = -c + 31. Let t(g) = 13*p(g) + 6*u(g). What is the remainder when 193\/3 + 6\/9 is divided by t(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 48157037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*v - 1751 - 408 = 0, w = v + 429. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 1\/2*f**5 - 4*f**2 + f**4 - 7\/2*f - 1.\nAnswer: (f - 2)*(f + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 846040 rounded to the nearest ten thousand?\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13153140?\nAnswer: 2, 3, 5, 7, 11, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c - c)*(37 - 66 - 76*c + 31).\nAnswer: 76*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 14354060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 0.5, -5, 4, 0.74?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70718 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -852 - 1488 = 52*q + 78*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - 35*r + 2. Suppose -73*u = 1136 - 504 + 536. Give m(u).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*h + 12*h + 6 + 558 = 0 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - (57 + -18) - (-1 - -24)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -1b08?\nAnswer: 1b10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7727.4 - 7727. What is the closest to -11 in -5, u, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/3, 155, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -0.502?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b - 22561 = 16346. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26520 divided by 40.\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 8 + 8 - 2*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 take away 137903?\nAnswer: -137833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8370 and 46713900.\nAnswer: 420425100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -259 - -82. Let y = -167 - f. Calculate the least common multiple of y and 186.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*f = 271*f - 618. Let i = f + -124. What are the prime factors of i?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 513 + (2 + 0)*-1. Round h to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161744 and 7348?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 440894 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2075, -4141, -6207, -8273, -10339, -12405?\n\"Answer: -2066*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 19*y**2 + 63*y - 64. Let j be h(-22). Solve 5*o + 3 = 4*u - 3, 0 = -4*o - j*u + 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -713, -1427, -2145, -2867, -3593, -4323?\nAnswer: -5057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 138, 140, 144, 150, 158?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o + 1. Let q be f(4). Let d = 101 - q. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 9:20 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 49\/4 of a milligram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-18) + (-1)\/2. Let a = -8.7 - -43.7. Let s = 31 - a. What is the closest to 1\/3 in b, -1\/14, s?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1468, -1393, -1268, -1093, -868, -593?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 6*y + 26 + 6*y to p + b*y and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuqquuq. What is prob of sequence qu?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, a: 3}. What is prob of sequence ooaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**12\/((s\/(s*s**(-14)))\/s) assuming s is positive.\nAnswer: 1\/s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j. Let f(x) be the second derivative of x**6\/180 - x**3\/3 - x. Let u(p) be the second derivative of f(p). Calculate u(d(r)).\nAnswer: 50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 687 - 681. Let v(i) be the second derivative of 1\/10*i**m + i**3 + 1\/14*i**7 + 0*i**2 + 0 - 1\/4*i**4 - 4*i - 9\/20*i**5. What is y in v(y) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 4*f = 18, -13*f + 36499 = 2*r + 36456 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c\/((c\/((c*c**11)\/c))\/c))))**(2\/35) assuming c is positive.\nAnswer: c**(26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6280*i + i**3 - 4*i**2 + 3*i**3 + 8 + 3140*i + 3141*i in the form m*i**3 + g*i + j + d*i**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -537980.03999952 - -537980. Let c = y + 0.04. Let w = c - 0. What is w rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, d: 8, o: 1, a: 2}. What is prob of sequence ao?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167 - 99. Suppose -10*c = -11*c + l. Suppose 13*d - 11*d - c = 0. Calculate the remainder when d is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/84*(-1 + 3\/(-6))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -30*f - 1443. Determine n(-48).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 2\/15, -8842, -1\/6, 0.3 in decreasing order.\nAnswer: 3\/5, 0.3, 2\/15, -1\/6, -8842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4620 - -4755. Solve 2*l + u = 47*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6*w - 4*w + 6, -a = -4*w - 12. Solve -3*l - l = a, -2*u - 4*l - 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4917.599 litres?\nAnswer: 4917599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -1\/5, -8.8, 34, -0.3, 1 in descending order.\nAnswer: 34, 30, 1, -1\/5, -0.3, -8.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -3, 2\/5, -0.5, -4301, 2 in ascending order.\nAnswer: -4301, -3, -0.5, -1\/5, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lumo when four letters picked without replacement from {u: 1, m: 3, z: 3, l: 6, o: 1}?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 29763?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (4 - 4\/(-2)). Solve a - h + 4 = 3*l, 4*l - 10 = 5*a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 14) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7179747, 7179750, 7179763, 7179792, 7179843, 7179922, 7180035, 7180188?\nAnswer: 7180387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-28)\/(-6) - 4)*12*-30. Let s = 390 + m. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8875 + 24?\nAnswer: -8851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -8*a + 3*a. Suppose 0 = 2*n - 0*n - a. Solve 4 - n*b**2 - 2 - 8*b - 2 = 0 for b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-81))\/(2\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10340832563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {m: 6, v: 1, s: 2, b: 7, e: 2, u: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.1, -1, -271, 3\/116, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 4*v**2 + 2*v + 7. Let g be a(-3). Let k(l) = l**3 + 8*l**2 - 3*l + 12. Is 6 a factor of k(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = 6*l - 25*l. Let i = -3 - -8. Suppose 2*f + 0*f = 2*t + l, i*t - 65 = -5*f. Calculate the remainder when 31 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/21)\/((-65)\/35)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -240*j + 236*j - 5*t + 2, 0 = -j - 4*t + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from gvgagwgawawagwgggvg.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*i - 7942 = -6412 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h + 23. Let k be u(-4). Suppose -4*v - 34 = -2*f, 24 = k*f - 3*v - 18. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15234088 divided by -25222.\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.897 + -0.197. Let g = 6.7 - u. Which is the nearest to g? (a) -3 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 2*y - 22, 8*p - 3*y = 12*p + 19 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37022, 74024, 111026, 148028, 185030?\nAnswer: 222032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41416*m**6 + 1163*m**2 - 3*m + 2.\nAnswer: -4969920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 8*x**2 - x - 2. Let q(l) = -40*l**2 + 6*l + 11. Let y(v) = 2*q(v) + 11*t(v). Give y(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -788*c**2*x**2 - 200229*c**2*x - 78*x**2 - 2*x wrt x.\nAnswer: -1576*c**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89.9 - 90. Sort m, -1, 7 in descending order.\nAnswer: 7, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*w + 18*w - 105 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xggxxmmxxxxxmgmmmxxg. What is prob of picking 2 g and 2 m?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.72 - 0.53. Let n = -4869842 - -4869842.19000168. Let s = m - n. What is s rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*j - 11. Let n = -4 - j. Let m(l) = l**2 - 3. Does 17 divide m(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3 - 2*s + 2*s - 8*s - 8*s**2. Let f(a) = -4*a**2 + 1 - 3*a - 2*a**2 + 3*a**2 + 0*a**2. Determine 11*f(o) - 4*t(o).\nAnswer: -o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 6 = -a - f, -4*f = a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = b - 9, -b + 4*g + 45 = 4*b. Let m be 65\/15 - 3\/b. What is the third biggest value in 0.3, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 145, 3, 784, -4 in ascending order.\nAnswer: -4, -2, 3, 145, 784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18310246 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -14, -37, -92, -191, -346, -569, -872?\nAnswer: -1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 20 - 44. Suppose g + v - 92 = 0. Calculate the highest common factor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x - 9*x + 8470 = 0. Let g = 245 + x. Solve g*r - 5 = -14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 10*v**2 + 4*v - 2. Let i be -6*(-4)\/36*-18. Let q = -14 - i. Is 6 a factor of o(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 44928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*i - 12, -3*o + 10 - 2 = -i. Suppose -5*r - 2*d = -1 - 25, -i*r - 2*d + 22 = 0. Suppose 7*q - 33 = r*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/((sqrt(1452) - (sqrt(1452) - sqrt(1452)*2)) + sqrt(12)) + -2.\nAnswer: -2 + sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/2 - (-40 - 5). Find the common denominator of (-140)\/6 + 7\/r and (-3)\/1 - (5 - 90\/(-24)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -48 + -3?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344) + -2*sqrt(1344) - sqrt(42)\/sqrt(18))\/((sqrt(7) + 2*sqrt(700) + sqrt(7) - sqrt(7)) + sqrt(7) + sqrt(49)\/(-2*sqrt(7))).\nAnswer: -50*sqrt(3)\/129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 24*s**2 + 21*s - 44. Calculate p(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2\/p*p)**(-3\/4))**23 assuming p is positive.\nAnswer: p**(-69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 672123554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**4\/9 - 214*r**3\/9 - 452*r**2\/9 + 1448*r\/3 - 576 = 0.\nAnswer: -6, 2, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29337817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 1093605?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**4\/24 + l**3\/6 + 2*l**2. Let y(c) = -2*c + 4. Let f(o) = 2*b(o) - y(o). What are the prime factors of f(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11858 and 12034418.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4175 and 10564.3124661.\nAnswer: 10564.7299661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/2106*3 - 50\/(-225)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 1\/6, -7\/956, 4?\nAnswer: -7\/956","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((0 - -4)\/156)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-10)*((-5)\/(-2))\/5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191106288 a multiple of 9?\nAnswer: True","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 {h: 2, v: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*w - 6*w. Let f(v) = -117*v**3 - 10*v**2 + 2*v + 7. Let s be f(w). Round s to the nearest 1000.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390, 770, 1140, 1494, 1826, 2130?\nAnswer: 2400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-520)*68 - (-108)\/(-72).\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -489*h = 400*h - 16002 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2457)\/(-9))\/(141\/66 - 2).\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 533 divided by 84861\nAnswer: 533\/84861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*r - 873, 1679*r - 1680*r + k = -213. Let b(o) = -23*o**3 + o**2. Let i be b(-1). Calculate the greatest common divisor of i and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -945*o + 112. Is h(-39) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-5) + (-108)\/(-45). Suppose 108 = 5*p - c*p. Calculate the remainder when (-4)\/((-64)\/20) + 2815\/20 is divided by p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 690 and 2593830.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 o when four letters picked without replacement from {k: 2, o: 3, z: 1, m: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from kkkgtottggtktggtkkk.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olo when three letters picked without replacement from {o: 2, l: 9, s: 5}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204086 is divided by 301014.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/13 in -4, 0.7, 5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45934 is divided by 316?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 12:11 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22916 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10\/83 (b) 3 (c) -101\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1789, -6161, -13413, -23545, -36557?\n\"Answer: -1440*x**2 - 52*x - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 261. Let z be 10\/4 - 2\/(-4). Suppose z*h - 4*q - y = 0, h - q = -4*q + 85. What is the remainder when h is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -38*k**2 + 579*k + 671. Let n(y) = 9*y**2 - 147*y - 168. Let d(o) = -2*g(o) - 9*n(o). Find a, given that d(a) = 0.\nAnswer: -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 2*d**5\/5 + 3*d**4\/4 + d**3\/2 + 61*d**2\/2 - 18*d + 1. What is the second derivative of z(g) wrt g?\nAnswer: 48*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 15*v - 18.\nAnswer: 3*(v - 6)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -41*r**7\/105 - r**6\/24 - 4481*r**3\/6 - 3*r**2 + 218*r. Differentiate z(f) with respect to f.\nAnswer: -328*f**3 - 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*d - 3*h, 3*h = d + 2*d + 6. Let w(c) = c**2 - 2*c + 10. Let b be w(d). Suppose 2*t = 4*r + 128, 0 = -5*r - b - 15. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 16, -209*d - 6*h = -207*d + 8*h + 46 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 44*j**2 + j. Let z(y) = -31*y**2 - 8*y. Let r(p) = -18*p**2 - 5*p. Let h(u) = 8*r(u) - 5*z(u). Calculate o(h(d)).\nAnswer: 5324*d**4 + 11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18682.43843 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5619368 is divided by 510851.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) -18 (c) 1\/3 (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-513)\/(-12) + 9\/(-12). Let z = f - -18. Calculate the highest common divisor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2*s + 8 = 0, -4*d - 3 - 13 = -24*d + s - 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 56787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 59. Let q be 0 + (1\/y)\/((-4)\/152). What is the greatest common factor of q and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 5*c**4\/2 - 5*c**3 - 62*c**2 - 31*c - 2. What are the prime factors of a(-5)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/40 and 53\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127\/3 - -517\/12. Let f = 71 + -145\/2. What is the third biggest value in -1\/2, f, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3143604 decades to years.\nAnswer: 3.143604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r**2 + 13*r**3 + 17*r**2.\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2496 = -19*b + 6*b. Let h = -160 - b. Calculate the greatest common divisor of h and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, 4, 345, 5, -7 in decreasing order.\nAnswer: 345, 5, 4, -2, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 947 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 3*q**5\/10 - q**4\/6 + q**3\/6 + 7*q. Calculate f(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -14, -44, -74?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**4\/4 + 4*u**3\/3 + 3*u**2\/2 + u + 1. Let v be a(-2). Find the third derivative of -3*n**2 + 4*n**2 + v*n**6 - 5*n**6 wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2385 and 68\/286995.\nAnswer: 860985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -15*a - 257. Let d(t) = 7*t + 129. Give -9*d(r) - 4*p(r).\nAnswer: -3*r - 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 15. Let h be o(-4). Suppose 5*a - l = 3354, -h*l + 6*l = 2*a - 1343. What are the prime factors of a?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-1 + 2 + 1). Suppose q = -x - 2*x. Let h = 2 + x. Calculate the remainder when 2 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4113.223271 rounded to one decimal place?\nAnswer: -4113.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8307529, 8307530, 8307531?\nAnswer: 8307532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) -6 (b) -2\/21 (c) -4129 (d) -0.5 (e) -1 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.89681 years in months?\nAnswer: 898.76172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7787586 divided by -6?\nAnswer: -1297931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u = -18. Suppose -4*i - u = -98. Suppose -5*p + 50 = 4*g, -p + 6*p - 10 = 0. Calculate the smallest common multiple of g and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 152\/26 + (-4)\/(-26). Suppose -f*o + 4*o + 12 = 2*i, i = o + 4. Suppose 4*x - 3*x + 14 = w, 47 = 4*w + i*x. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 9*w - 7. Let l be m(-8). Solve -l = -f + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 1041*i**3 + 2*i + 224. Let n(o) = 2081*o**3 + 5*o + 444. Let d(h) = -2*n(h) + 5*y(h). Differentiate d(b) with respect to b.\nAnswer: 3129*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(768\/20)*(-48)\/(-105)*(-36)\/144.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -17\/7 (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35827, -37205, -38583, -39961?\n\"Answer: -1378*s - 34449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(24)\/sqrt(4)) - sqrt(17)) + sqrt(272) + -4 + -5.\nAnswer: -9 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1944745\/34 or 57199?\nAnswer: 1944745\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7 - -0.7. Which is the closest to -1? (a) k (b) -0.04 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 15 (b) 4 (c) 0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2065 - 2070. Which is the smallest value? (a) k (b) 2\/3 (c) 0.06 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (-11)\/(-2))\/((-2)\/(-44)). Sort 4, -1\/4, o in descending order.\nAnswer: 4, -1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 761475.3 - 90.\nAnswer: 761385.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 19185090.\nAnswer: 19185090.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 57\/12 - 1\/(-4). Suppose 4*s + n*a - a = 40, -4*s = -a - 15. Let y = -2 + s. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z + 4. Let q(o) = -15*o + 11. Calculate -17*b(n) + 6*q(n).\nAnswer: -5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25411830397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-31 + 13)\/((-4)\/(-6)). Let t = g - -29. Suppose 3*p - t*f = -p + 246, -5*f - 202 = -3*p. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 19*p. Let i be l(15). Calculate the greatest common factor of 48 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 9. Let i(t) = 3*t - 18. Let g(h) = 5*b(h) - 3*i(h). What is the units digit of g(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48154497?\nAnswer: 3, 269, 59671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1. Let l(k) = 98*k + 4. Let y(r) = l(r) - 2*m(r). Let w be y(2). Let h = -63 + w. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 7) to base 14.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5477 = -111*x - 1162 - 208 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9862 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*d*i**3 + 5*d*i - 194*d + 2*i**3 - 2 wrt i?\nAnswer: 33*d*i**2 + 5*d + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 7 = 21. Let w be (-6)\/j + 180\/(-518). Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 4, a: 2, p: 1, r: 7}. Give prob of sequence ap.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7)*o**10*(o**0)**(-22))**(-49) assuming o is positive.\nAnswer: o**(-476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 2 - 20)*(-27 - 21 + 3)*(-c**2 + 2*c**2 - 2*c**2).\nAnswer: -1845*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Put 49.1, 2, -1, -5\/4, 15 in ascending order.\nAnswer: -5\/4, -1, 2, 15, 49.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1214 - -1225. Which is the closest to -2\/7? (a) s (b) -0.4 (c) -5\/3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2287 + 1.1?\nAnswer: 2288.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 20. Suppose 4*b = 4 + r. Let x(i) = -7*i + 3. Let a be x(-3). What is the greatest common divisor of b and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 9*g**2 + 4*g - 5. Let p(n) = n**3 + n**2 + n - 1. Let v(l) = -4*p(l) + y(l). Let f be v(2). What is the greatest common factor of f and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1128 + 81*d - 142*d + 815*d**3 + 61*d wrt d.\nAnswer: 2445*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -39 - (19 - 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 1:07 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*i**2 - 6*i**2 - 332*i**2.\nAnswer: -419*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -765874769 divided by -4095587?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 385 and 2145.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18122 is divided by 244.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = -0 + 6. Which is smaller: p or 3\/22?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 12*t**2 - 7*t - 2. Suppose 5*a + p + 4*p = 110, -a + 5*p + 40 = 0. Suppose -10 = 3*h - a. Is m(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 16812355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -212.373949 rounded to one dp?\nAnswer: -212.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -189933 (base 11) in base 5?\nAnswer: -33310113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.903 + -9.103. Which is greater: d or -2686?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 2*85\/(-40))*(-1232)\/(-210).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/8))\/g**(-9\/7)*(g*g*g**27*g)\/(g\/g**(-37)) assuming g is positive.\nAnswer: g**(-327\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5105070, -5105053, -5105026, -5104989, -5104942?\n\"Answer: 5*h**2 + 2*h - 5105077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 109425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14 from -17550.\nAnswer: -17536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-32))\/(1 - (-989)\/(-988)). Let r be 2\/(-3) - q\/(-78). Sort r, -2, -5.\nAnswer: r, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/12211 + 24404\/109899. Let w = -2 - -8. Which is the third smallest value? (a) w (b) g (c) -0.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 291, 1451, 3385, 6093, 9575?\n\"Answer: 387*h**2 - h - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.339 rounded to 1 dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 50 = 2*m, 3*m - 2 = -0*i - i. Let s = 25 + i. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 612 and 23030712?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 33496*l**2 + 468797*l + 1640618.\nAnswer: (l + 7)**2*(l + 33482)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11564 - -6314. Is t bigger than -5250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -102*(-1)\/(-9)*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.89852 to two dps.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -557156, 1\/69, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 416 and 572?\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0*(-2)\/(-4))\/3. Suppose z*r = -5*r + 50. Let m(k) = k**2 + 3*k. Let h be m(-4). What is the greatest common factor of h and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354144 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9560052 and 677484.\nAnswer: 86040468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 2\/9, 248\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1451, -5896, -13305, -23678?\n\"Answer: -1482*h**2 + h + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkdrfdrddfrfrkf. What is prob of sequence kfr?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + o = -14, -n = 262*o - 261*o + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w + 17. Suppose 14 = -2*f + 2*b + 4, -5 = -5*b. Let j be n(f). Solve -2*g - 3 = j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103616609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42451 * -37.8.\nAnswer: 1604647.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15225740 divided by 4\nAnswer: -3806435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1.92?\nAnswer: 3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/17*(-48)\/(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145843358?\nAnswer: 2, 43, 1695853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/3275 + 3341\/108075. What is the closest to -4 in m, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k**5 - 412*k**4\/7 + 1720*k**3\/7 - 292*k**2\/7 - 78*k\/7 = 0. Calculate k.\nAnswer: -13, -1\/7, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 12.7 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(3)) + (sqrt(60)\/sqrt(4) - sqrt(15))\/sqrt(5).\nAnswer: -sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 83457*b**2*h**2 - 2*b**2*h + 3*b*h**2 - 1309027*h**2 wrt b?\nAnswer: 166914*b*h**2 - 4*b*h + 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**3 + 4*x**4 - 18 + 18 - 2*x**2 + 2*x**4 to the form w + s*x**4 + h*x**2 + m*x**3 + t*x and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -806638 <= -805853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**2 - 6*y**2 - 27*y**2 - 22*y**2.\nAnswer: -44*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = 3*u - 37*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -450 + g + 450. Let r(o) = 3*o - 36 + 36. Give v(r(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -7.3. Let j = 4 + -3.6. Let c = 1043.8 + -1044. What is the third smallest value in w, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - n - 5, -3*n = 3419*h - 3420*h - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 less than -3.424644880453?\nAnswer: -3.164644880453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8982\/24*(-4)\/(-3)*(-3)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 15. Let k(w) = w + 5. Let a(q) = 4*f(q) + 11*k(q). Let h be a(-6). Let y be (0 - 6\/9)*-6. Put h, -5\/6, y in descending order.\nAnswer: y, h, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4800 is divided by 65?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/8 + (-5)\/(-20). Let j(d) = -1 - g + 3 - 4*d - 1. Does 9 divide j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50.7 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 5*u**2 - 4*u + 14. What is a(-6)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 132.97 and -2552.\nAnswer: -2419.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3452789*a*g**2 - a*g - 2*a + 30*g - 529719985 wrt g.\nAnswer: -6905578*a*g - a + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3462006, -6924016, -10386026, -13848036, -17310046, -20772056?\nAnswer: -24234066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73827884?\nAnswer: 2, 13, 23, 61729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 3. Let m be k(-4). Let d = 1119 - 657. Let q = d + -463. Put 1, -4, m, q in decreasing order.\nAnswer: m, 1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/10 - 762*r**2\/5 + 27189*r\/10 - 60993\/5.\nAnswer: (r - 1506)*(r - 9)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1518, -6071, -13660, -24285, -37946, -54643, -74376?\n\"Answer: -1518*v**2 + v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/((-66)\/8). Let m = 1.51 - 1.71. Put m, 4, p in descending order.\nAnswer: 4, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1354155 divided by -5.\nAnswer: -270831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 45\/(35\/7) + (-5 - -2). Which is the nearest to l? (a) -11\/2 (b) -2\/5 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41419 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-5))**30 assuming o is positive.\nAnswer: o**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2681095, -2681097, -2681099, -2681101, -2681103, -2681105?\n\"Answer: -2*n - 2681093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -45. Is u > 2\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 525, 2084, 4683, 8322, 13001, 18720?\nAnswer: 25479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -33253 (base 6) in base 3?\nAnswer: -20100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -10*y + 2\/39*y**3 + 0 - 1\/78*y**4 + 0*y**2. Find r, given that n(r) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1 = 2*k - 1, -19 = -t - 4*k. What is the remainder when 7 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404149 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12*b**3 + 5*b**2 - 8*b - 5. Let l(t) = 6*t**3 + 2*t**2 - 4*t - 2. What is -2*f(q) + 5*l(q)?\nAnswer: 6*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1554 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 31*z - 14. Let q be l(-13). Is -20*(q\/8)\/(27\/18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -80. Let k be 10*(-6)\/a + 9\/(-12). Let j(y) = y**3 - 3*y**2 + 2*y + 6. What is the units digit of j(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5. Suppose d + 1 = -3*h + z, 0 = 5*h + 2*z - 13. Let m = 4 - h. Solve -c = 4*p - 2, -4*p - m*c + 0*c + 6 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4. Let q(u) = -u**3 + 4*u**2 + 7*u - 1. What is the smallest common multiple of -1 + 1 + 10 + p and q(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4246\/7 in 15, -22\/9, 0.3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 8*p**2 + 12*p + 1. What is g(10)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9 - 9 - 8) + 6777.\nAnswer: 7, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2845*p + 998. List the prime factors of y(17).\nAnswer: 49363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 - 222 = -38*q. Solve -10*k = q - 41 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u - 5*i - 105, 76 = 4*u + 4*i. Suppose 0 = 3*n + 3*a - 648, 0 = 5*a - u - 5. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g + 2*h = 8, 5*h = 5. Let r(d) = d**2 + 3*d - 3. Is r(g) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1401108 and 1431?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -14, -6 in ascending order.\nAnswer: -54, -14, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -783*v**4 + 6*v**2 - 829. Let z(x) = -3912*x**4 + 28*x**2 - 4146. Let d(k) = 14*i(k) - 3*z(k). Find the first derivative of d(y) wrt y.\nAnswer: 3096*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 12 - 23 + 12. Let c be 48 - 46 - (-1)\/((-2)\/2). Let t(q) = 8*q + 9. Determine c*t(p) - 6*w(p).\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-5))\/((-5)\/(-25)). Let k = -5 + 3. What is the closest to -2\/9 in d, -1\/3, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 7*a**2 - 8*a + 9. Let d be t(5). Suppose -d = -2*b + 497. List the prime factors of b.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n - 24 + 17. What is the smallest value in 0, n, -116, 1\/4?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211011012 (base 3) in base 5?\nAnswer: -1004101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-470764.\nAnswer: 5649168","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/66 and -67\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3 - 1. Suppose -3*i - x = -4, x - p = i - x. Suppose -i = -c + 4. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -220244?\nAnswer: 220242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + 71. Solve 3*n = 3*a + 7*n - 26, 0 = 4*a - 4*n + t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7413*s - 14791*s + 7575*s.\nAnswer: 197*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.74595145 rounded to four dps?\nAnswer: -5.746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5*m**3 + 2 - 4*m + 4*m to the form y*m + b*m**3 + w + g*m**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3300*f**6 - f**5*s**2 - 10*f**2*s - 2158*f*s**2 wrt f.\nAnswer: 396000*f**3 - 60*f**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/((u**(2\/9)*u)\/u))**(-41)*(u**(-2\/9))**(-30) assuming u is positive.\nAnswer: u**(-596\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39769 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: -3.4 * 0.05\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -671001?\nAnswer: -2684004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 15\/(-5) - (-1 + -314). What is the greatest common factor of 45 and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziwwziiiiziwi. Give prob of sequence iiwz.\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12745, 12757, 12769, 12781, 12793?\n\"Answer: 12*d + 12733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3197737121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.8 - -2. Let t = h - 0.2. Let v = 1.99 + -2.09. Which is the closest to 2? (a) t (b) 4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 1:25 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/28322 and 45\/448.\nAnswer: 906304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**5 + 680*p**4 + 17085*p**3 + 46420*p**2 + 30020*p = 0 for p.\nAnswer: -19, -2, -1, 0, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 7178017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 17 = d - 143, -3*w = -3*d - 189. What is the greatest common factor of w and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 231929 = 394277. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w + 132. What is y(20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 582, 1627, 3132, 5097, 7522?\n\"Answer: 230*n**2 + 355*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g + 6. Let f be 198\/9*(-5)\/10. Let q be 62\/8 - 1\/(-4). Let x(b) = -3 + 5*b + q + 6. What is f*n(r) + 6*x(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 3:18 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -7) + (35 - -2). Let w = 94 - z. Let g = w - 52. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a + 1840 = 1853. Solve -a + 1 = 10*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, u: 3, t: 4}. Give prob of sequence uuj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. What is the least common multiple of d and (-240)\/32*(-4)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -13*j**3 + 10*j**2 + 1245*j - 2507. Give g(2).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4.64*3\nAnswer: -13.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 - 2419673\nAnswer: -2419673.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 1668*w + 187*w - 146 + 114.\nAnswer: -1481*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**3\/5 + 3*c**2\/5 - 27*c\/5 - 27\/5 = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 8*t - 3*m - 13 = 0, 2*t - 4*m = 14. Suppose 5*h = a - 55 - 283, 2*a - 696 = t*h. List the prime factors of a.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 170303725, 340607453, 510911181, 681214909, 851518637, 1021822365?\n\"Answer: 170303728*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -539 + 549. What is the remainder when 88 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1115571 - -1115406.00129. Let l = 165 + t. What is l rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 10:37 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 6. Let p be (-1)\/(26\/(-6) + 4). Let z be f(p). Let q(l) = -290001*l**2 + 3*l. Let r be q(z). Round r to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22224211 + -10?\nAnswer: 22224201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from aaweawtwdww?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(2 + 3 - 1)*(2*z**4 + 2*z**4 - 5*z**4 + (z**2 - z**2 - 2*z**3)*(0*z - 4*z + 2*z)) in the form j + r*z**2 + b*z + t*z**4 + y*z**3 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -92, -205, -350, -515, -688, -857, -1010?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(153) + -2.\nAnswer: -7 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*(sqrt(176) - (sqrt(176) + 2*sqrt(176) + sqrt(176)))*-5 - ((1 + sqrt(176))*-5 + sqrt(176)*1 + -4)*-2)**2.\nAnswer: 17248*sqrt(11) + 1690788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124300, -124463, -124904, -125761, -127172, -129275, -132208, -136109?\nAnswer: -141116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**7\/1365 + 23*h**6\/390 + 227*h**5\/130 + 874*h**4\/39 + 5776*h**3\/39 + 30*h**2 - 18*h. Factor r(n).\nAnswer: 2*(n + 4)**2*(n + 19)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 694 - 310. Suppose 4*d = k + 173, 2*d - 109 = -2*k + 7*k. What is the remainder when d is divided by 4\/6 - x\/(-18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5663 + 7307. Is y a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 6*v**2 - 4. Let f be y(5). Let t be f - (-1 - (-1 + 0)). What is the units digit of 0 + (t\/3 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3454701*k + 17273498. Calculate i(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 10. Suppose 37 = 2*r - 2*m - w*m, -4*r - 2*m = -14. Let z be 261\/198 + r\/(-4). Sort z, -1\/3, -1 in descending order.\nAnswer: z, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 97\/15420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7615, -7638, -7661, -7684, -7707, -7730?\n\"Answer: -23*j - 7592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6223.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119065 is divided by 388?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 9. Suppose 0 = h*w + 3*n - 0*n, n = 2*w - 10. Find the second derivative of 2*v**5 - w*v - 7*v**5 + 7*v wrt v.\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464820527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18526 is divided by 87?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 - (2 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.873 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8819 and 2.309.\nAnswer: 20363.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 16600 = -5*h + 12086, -n + 5734 = h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1.391\nAnswer: -0.2782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 506651.2s to milliseconds.\nAnswer: 506651200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 3, 0.06?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**2*i*q**2 + 363*g**2*i - g**2*q**2 - 51*g*q + i*q**2 wrt i?\nAnswer: -2*g**2*q**2 + 363*g**2 + q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3 = a. Suppose -a*h = -h - 92. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (28\/63)\/(9383545\/1340505 + -7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -5, -2, -31 in increasing order.\nAnswer: -31, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2227 + 2191. Let p be ((-3)\/(-4))\/(1\/(-4)). Sort -5, s, p in ascending order.\nAnswer: s, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven eighths of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00066361 to 6 dps.\nAnswer: -0.000664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(15)*-4*-2)\/((sqrt(5) - ((sqrt(40)\/sqrt(2))\/sqrt(4) - sqrt(5) - sqrt(5))) + -2*sqrt(245) + sqrt(245) + sqrt(5))*-1.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74338 is divided by 73673?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 - (-1 + 4 + 8 + -19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 9. Let m be z(6). Let q = -38 - -107. Let p = q - 67. Solve -i + 3*i = -3*l + 17, -l + m*i + p = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/8011122 and -139\/4577784?\nAnswer: 32044488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5668 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v + 3*h + 40 = 0, -5 = v + 2*h. Suppose 0 = 3*r + 5*z + 13, -z - 7 = -r + 3*z. Let x = 2 - r. Solve o = -l + v, -7*o = -2*l - 2*o + x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 94953*j - 569802. Determine r(6).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2. Let a(n) = 18*n + 18. Let l(r) = 9*r + 10. Let u(p) = 5*a(p) - 9*l(p). What is c(u(i))?\nAnswer: -243*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 9*q - 2. Let j be w(-9). Let o be ((-10)\/(-4) + j)*-2. Let b be 8\/90*40\/(-16). Which is smaller: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 592963.\nAnswer: -59296.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 4*y, -3*v + 100*y - 37 = 95*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.9357 litres in millilitres?\nAnswer: 207935.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0451*-4.\nAnswer: 0.1804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = k - 95 + 26, 0 = 4*k + p - 295. Suppose k*n = 67*n + 6454. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 - a?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 35*m**3 + 493*m**2 + 490*m - 2. Calculate h(-1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 7:50 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 5*j + 1. Let h be n(-6). Let i = h - -9. Suppose -14312*f - 150 = -14342*f. Solve -6*w - f = i*z - 3*w, 3*w - 20 = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, m: 1, e: 1, s: 4, a: 3}. Give prob of picking 1 s and 2 n.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 495.531729us to weeks.\nAnswer: 0.0000000008193315625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 17 - 4. Suppose -3*m - 4*u + 9*u = -14, -4*m = -u - o. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -291, -420, -499, -510, -435, -256?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -30*i - 190. Does 13 divide n(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43184*s**4 + 3*s**2 + 92378*s wrt s?\nAnswer: 518208*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4588)\/1327079)\/(2\/(-13)).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a - 1506 = -43*a. Suppose -11*l + a = -189. What is the lowest common multiple of 110 and l?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 4*k**2 - 2*k**2)*(-2 - 8226*k + 17912*k - 8842*k).\nAnswer: 1688*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + -1 - 0\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30804 and 1020.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -692, -685, -674, -659, -640, -617, -590?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 193, -4, 189 in ascending order.\nAnswer: -11, -4, 189, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((w*(w*w\/(w\/w**(2\/19)))\/w)\/w)\/w)\/w*(((w\/w**(11\/6)*w*w)\/w)\/w)\/w)**45)**(-2\/9))**(-1\/9) assuming w is positive.\nAnswer: w**(-2125\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -851, -3411, -7681, -13667, -21375, -30811, -41981?\n\"Answer: -n**3 - 849*n**2 - 6*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r**2 + 2*r. Let d(x) = 69*x**2 - 21*x. Let o be (-4)\/(-3) - 1 - 496\/(-24). Let i(m) = o*f(m) + 2*d(m). Let c(g) = 2 - 2 + 2*g**2. What is i(c(v))?\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2013*q**2 - 407*q**2 - 1829*q**2 + 385*q**2 to the form v*q**2 + a*q + l and give v.\nAnswer: -3864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (4 + 6 + -8) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4809\/20 + 1246\/5. What is the common denominator of u and (-196)\/9*6\/16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 4 - 0\/2. Let d = -12 - -20. Suppose 0 = 5*b - d - 17. Put b, n, -3 in decreasing order.\nAnswer: b, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14839 - 0.04839. What is the nearest to q in -4, -0.1, -0.22?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 139936530?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-11 + 5) - -2) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggo when three letters picked without replacement from jjjgodzjgjjbdjdzg?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84062 is divided by 12008.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979292?\nAnswer: 2, 47, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.009?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 11*f**4\/12 - 19*f**3\/3 - 6*f + 1. Find the second derivative of r(u) wrt u.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -798919\/36 - -22189. What is the common denominator of -89\/12 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1026\/11923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-78)\/4*161\/(-69). Let z = -1222 - -1223. Do l and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 35, 2 in descending order.\nAnswer: 35, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -41*f**2. Let j(q) = 80818*q**2. Give p(j(x)).\nAnswer: -267793514084*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2. Let i(f) be the second derivative of f**4\/6 - f**3\/2 - 20*f + 3. Calculate z(i(n)).\nAnswer: 4*n**4 - 12*n**3 + 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((((sqrt(72) - 4*sqrt(72)) + 5)*-6 + -5)*4)**2.\nAnswer: -120960*sqrt(2) + 392845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 22*z**2. Calculate o(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -59*k**3 - 3*k**2 + 3*k + 5. Let v = 272 - 274. What is the units digit of n(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14728288?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i**(1\/23)*i)*i*i**(-30))\/((i\/(i**(2\/21)\/i))\/(i\/(i\/(i**(-1\/15)\/i*i)))))**(-3\/7) assuming i is positive.\nAnswer: i**(79731\/5635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2568\/110852*(-21)\/(-27).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 7:19 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6390610 is divided by 2114.\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -7)*6\/(-9). Suppose -v*x + 12 = -0*x. Suppose -4*q + 4*l + 1 = -7, x*l - 1 = -4*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 4*n**3\/3 + 2*n**2 + 6*n. Is 9 a factor of k(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Suppose 0 = -u + 9 - 3. What is the greatest common factor of q and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22162.7 + -22163. Sort n, -2\/49, -2, -6, 4\/9 in descending order.\nAnswer: 4\/9, -2\/49, n, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6075, -6074, -6073?\nAnswer: -6072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 10*i + 4. Let n(k) = -k**3 + 2*k**2 - k + 4. Let s be n(3). Let p be z(s). Is 3\/p - 133\/(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -7 + (2 + -43 - -52) - 25.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**6\/24 + 20*s**5\/3 - 415*s**4\/24 - 135*s**3 + 33*s**2 - 16. Factor i(k).\nAnswer: 5*(k - 2)*(k + 1)*(k + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30990? (a) 2\/27 (b) -0.3 (c) 4 (d) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 407654 (base 14) in base 9?\nAnswer: 4070070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - 794694?\nAnswer: -794678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 8. Let i be q(-4). Let s be -5 + 10 + i + -1. Suppose s*p = -w + 5, -4*w + 2*p = 7*p - 42. Calculate the greatest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2. Let i(j) = j. Let t(l) = -5*l - 1. Let y(a) = 4*i(a) + t(a). Let m(x) = 2*x + 3. Let o(w) = -2*m(w) - 6*y(w). Give f(o(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**5 + b**4 - b. Let a(l) = -5*l**6 + 3*l**5 + 3*l**4 + 2*l**2 - 3*l. Let s(f) = a(f) - 3*q(f). What is the third derivative of s(o) wrt o?\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -355a7 (base 15) in base 8?\nAnswer: -514060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2 + 215*q - 408. Give g(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.02 (c) 0 (d) -4 (e) 2 (f) 0.2 (g) -20\/601\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-14)\/20) + 1. Let n = -0.4 - 1.8. Let h = -2.6 - n. Which is the biggest value? (a) h (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433722.1 millennia to centuries.\nAnswer: 4337221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s**4 + 5*s**4 - 3*s**4)*((s + 4*s - 3*s)*(-2 - 3 + 7) + (-4 - 3 - 4)*(-s - 9*s - s)).\nAnswer: -1000*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31910, -63836, -95762, -127688, -159614, -191540?\nAnswer: -223466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -67 + 9*r - 29*r - r**2 - 33.\nAnswer: -(r + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k**2 - 2*k + 6. Let q be c(-4). Suppose 0*d - 5*d + q = f, 0 = 5*f + 3*d - 950. Does 22 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 0 - 31191*h + 7.\nAnswer: -31191*h + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4010221 (base 12) to base 2\nAnswer: -101101101001001000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40320 is divided by 1008.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - 2*i)*(-13530 + 29220 - 11360 + (-1 + 4 - 2)*(3 - 1 - 1) + 0 - 3 + 1).\nAnswer: -8658*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -202, 352, 1140, 2168, 3442?\n\"Answer: f**3 + 111*f**2 + 214*f - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 1446 in decreasing order.\nAnswer: 1446, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9809*t + 2475 = -9644*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 8:31 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -3406, -41.\nAnswer: -3406, -41, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 4)*(-3 + 2 - 1)*(-7 + 0 + 23*d + 9)*(4 - 4 + 4*d**2) in the form m*d**3 + c*d**2 + q + y*d and give m.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m**2 + 13*m + 20. Let q(y) = -18*y**2 + 38*y + 61. Let v(n) = 8*a(n) - 3*q(n). Find the first derivative of v(d) wrt d.\nAnswer: 12*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 409 = 29. Suppose 3*f - 8*f = -c. Does 19 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + m = -2*w + 3, -w - 8 = 4*m. Let o be -160*(8 + w - 5). Calculate the highest common factor of 20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-2))\/(((-1)\/1266)\/(-1)). Let c be (m\/(-24) - 4) + 5\/(-40). Calculate the greatest common factor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*d + 88 = 109*d. Solve x = 2*h - 4 - 5, -4*x = -d*h + 28 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.49475*11.8.\nAnswer: -29.43805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 2:08 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2 + 1 - q - 2 + q**2. Suppose -15 = -5*l - 0*l. Let h(t) = -8*t**2 + 4*t - 5. Let r(o) = -o**2 - 1. Let n(j) = l*r(j) - h(j). Give 3*k(v) - n(v).\nAnswer: -2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -24*y + 195. Let f be l(8). Solve -2*m - 5*g + 23 = 0, 0 = -5*m + 5*g - f*g + 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -33, -3, 3\/13, 0.18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 2938 (c) -0.5 (d) 2 (e) -444 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.9? (a) -2\/7 (b) 0 (c) -8 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 - 934*i + 13 + 932*i)*(-4 + 4 - 3*i**2).\nAnswer: 6*i**3 - 192*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 711.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/50 and 139\/240840?\nAnswer: 1204200","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**4\/4 - z**3 - 6*z + 24. What is the lowest common multiple of s(4) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*z + 6 = 0, 3*z - 24 = -3*m - 2*m. Calculate the smallest common multiple of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11996487.56 to the nearest ten thousand.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + -2 - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -42 + 3. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(sqrt(75) + sqrt(75) + sqrt(75) + -1 + -3) - (4*(sqrt(108) + sqrt(108)*1) + 1 + sqrt(108) + 3)**2).\nAnswer: 804*sqrt(3) + 17544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-3))\/((-8)\/12) + 27911\/715 + -35.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 + 226*x**2 + 230*x - 224. Let d(c) = 40*c - 6. What is the smallest common multiple of v(114) and d(4)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/2 - 3) + 1. Let q = -4 + s. Suppose -5*z = 3*h + 4080, -q*h + 4080 = -6*h - 3*z. Round h to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from ojjjd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/35 - 2 - (-2)\/5. Let v(b) = -55*b**3 - 2*b**2 + b + 2. What is the units digit of v(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4939867?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2220 - 101?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -367*p**4 - 12*p - 24 wrt p.\nAnswer: -4404*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -210341*c**2 - 210410 wrt c?\nAnswer: -420682*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522.28575 days to weeks.\nAnswer: 74.61225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**5\/5 + 5*j**4\/2 - 2*j**2 + 62*j. Let v(m) = m**2 - 2. Let f(s) = r(s) - 2*v(s). Find x such that f(x) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -0.01 (c) 0.4 (d) -4.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m + 10. Let l(r) = -3*r + 15. Let p(v) = 6*v - 29. Let g(h) = 7*l(h) + 4*p(h). Let t(u) = -5*g(u) - 6*z(u). What are the prime factors of t(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/179 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 20630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (512\/60)\/4. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-nine fifths of a decade?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 10 - 15. Let i = 100 + -95. Sort i, h, 2 in descending order.\nAnswer: i, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13508)\/28 - (-6)\/14. What is the units digit of (a\/(-2))\/(1\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*z + 2)*((-3 + 4 - 3)*(-6*z + z + 2*z) + 2*z - z - 2*z - z + 0*z + 3*z) + 74 - 17*z**2 - 72 + 3*z**2.\nAnswer: -35*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 5. Let o(w) = -9*w**2 + 220*w - 92. Let v be o(24). Put v, t, -10 in descending order.\nAnswer: v, t, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/26 - 91\/507. Suppose -6*y = -2*y. Which is smaller: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*d - 17 + 2, -4 = -4*r. Let p be 2\/(-6*d\/1297926). Let k = p + -127321. What is k rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -1 - 3*b - 6*b**2 - 2 - 4*b**2 + 3*b**2. Let g(d) = d**2 + d + 1. Let z = -22 + 21. Determine z*l(f) - 3*g(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 12) to base 8.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyz when three letters picked without replacement from {y: 1, z: 1, t: 1, p: 1, k: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 457, 0.3, 2\/3, -17, -13, -1\/3 in increasing order.\nAnswer: -17, -13, -1\/3, 0.3, 2\/3, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**2 - 246*j + 765 = 0.\nAnswer: -85, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 62 + 31 = 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 + 0*g**2 + g**3 + 0*g**3. Let i be c(2). Solve i = 5*v + 2*t + 10, t + 2 = -v - 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (199 - 17 - 25)*(-a - a + 0*a) in the form v + m*a and give m.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (293012\/77979)\/((-14)\/(-231)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0. Suppose -2*b = -0*b + p + x, 5*b + 3*p = -5. Solve -b*u - 5 = 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 19033*b - 76117. Calculate j(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 134*z + 2. Let v be w(5). Calculate the highest common divisor of 21 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/2 - 196\/378*21.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175131 by 671.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0585 times -5278?\nAnswer: -308.763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1731956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-21) + ((-10125)\/(-1260))\/((-3)\/8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7990?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -107, -16, -5, -2 in ascending order.\nAnswer: -107, -16, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2046)\/31 + 3813\/31.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 395 - 395.852. Let j = o + -0.048. Let y = j + 0.9. Put 0.5, -0.4, 0.08, y in increasing order.\nAnswer: -0.4, y, 0.08, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14900)\/(-3515) - 4 - -1. Let w = t + -22\/19. Let x = w + 25\/148. What is the closest to 2\/5 in -1\/11, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000056717 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**5 + 84*x**4 + 284*x**3 + 204*x**2 = 0. What is x?\nAnswer: -17, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l + 5. Let q = l + -5. Suppose p + q*p - 127 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (5\/(-10))\/(36\/(-488)) and -43\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 11:07 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 3*k + 4. Let g be v(3). Let f be g\/(-21)*21\/18. Sort f, 0.2, 2 in descending order.\nAnswer: 2, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -4. Suppose -5*q = -x - 2*q - 37, -2*q = 2*x + 50. Calculate the lowest common multiple of l and (-2)\/(-7) + (-272)\/x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129861 is divided by 176?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 558467 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6270223.1 and 14.01768.\nAnswer: 6270237.11768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.353222+70263\nAnswer: 70262.646778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 631561069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-3)*(-609)\/14. Let l = f - -255. List the prime factors of l.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 466 = -2*l, -3*r + 19 = l - 680. Suppose 0 = 3*h - 109 - r. Suppose 2*u - f - h = -5*f, 0 = -5*u + f + 329. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -32*r**2 - 173*r + 378. Give v(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:08 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 228 = -2*s, -6*d = -2*d. Let u = -75 - s. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (-13 - (-4 - 1)) - (1 + 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 7*m - 15 = 0. Suppose m*t = -4*v + 27, -3*v - 16 = -2*t - 3*t. Suppose 2 + 0 = 2*r, -4*d = -v*r - 3353. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84670 is divided by 227?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11042 or 7797?\nAnswer: 11042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6897.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 59946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r**4 - 40*r**3 - 58*r**2 + 24*r + 78. Let f(g) = -g**4 - 2*g**3 - g**2 + 2*g + 1. Let u(w) = d(w) - 6*f(w). Factor u(n).\nAnswer: -4*(n - 1)*(n + 2)*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2268386.4119 - 32271297.2009. Let c = h - -30002784.78900063. Let r = c - -126. Round r to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -822970 divided by -103\nAnswer: 7990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/11)\/(1\/(-3)). Let m = -3.6 + 14.6. Let g = 6 - m. Which is the second smallest value? (a) -0.1 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - b = 196 - 190, g = -5*b - 12. Let r(m) = 4*m + 5. Calculate the remainder when r(5) is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(3\/(-1464)) - 4. Let q = v - -831. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4716001 a multiple of 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4 - 10*w**3 - 4*w**2 + 16*w = 0. Calculate w.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218879 by -2.\nAnswer: 218879\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/45 in 0.746, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1622 - -12?\nAnswer: 1634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43.967 - 45. What is o rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4223, 8348, 12473, 16598?\n\"Answer: 4125*s + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -11403?\nAnswer: 11402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + -10 - (70 + -114)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7260, -14526, -21780, -29016, -36228, -43410, -50556, -57660?\nAnswer: -64716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 10*j**3 - 34*j**2 + 42*j.\nAnswer: 2*j*(j - 7)*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*x + 35 = -5*j, -x = 4*j + 16. Suppose -4*v - 14 = 3*l - 54, 2*v = l + 10. Let h(r) = 2*r. Let a(b) = b. Give v*a(t) + x*h(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 12:59 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-136)\/731) + -44?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 + 6*l**5 - 2*l**5 + (-l + l + 3*l**4)*(-1 + 1 + l) - 69*l**5 + 8*l + 5*l**2 + 74*l**5 - 10*l.\nAnswer: 11*l**5 + 5*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 16*w**2 - 1784*w + 2898. Give m(110).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 60 = -11*y - 5*h, -2*y + 5*h + 15 = 0. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 740 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18803172 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-12) - ((-1)\/3)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -723 (base 10) to base 5.\nAnswer: -10343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 104049*u = 104048*u + 10, 4*h = 8*u - 57 - 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.02 * -82323.\nAnswer: -330938.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -78*y**3 - 10*y**2 - 23*y - 10. What is the tens digit of n(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*w + 330*w + 6820 = 0 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2423 + 0.1577. Which is the closest to -11? (a) w (b) -0.3 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 - 3.97. Put 0.1, u, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, k: 2, z: 3, f: 2}. What is prob of picking 2 z and 2 s?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.66 - -1.66. Which is the nearest to -4\/3? (a) -4 (b) h (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 4. Let z be j(-3). Suppose -2*v + 68 = 2*v + z*x, -70 = -5*v + 5*x. What is the highest common factor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 2:38 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3909505 to the nearest integer?\nAnswer: 1977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7739 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*q - 25*q + 1 - 9*q**2)*(5 - 5 - q**2).\nAnswer: 9*q**4 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 2:02 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 5 - 0\/2. Let l = 8 + a. Suppose 0 = -l*m + 2 + 13. Calculate the smallest common multiple of m and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1750869*p. Let w(i) = -179*i. What is w(m(k))?\nAnswer: -313405551*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 209 = t, -4*f + 473 = -4*t + 1325. What are the prime factors of t?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3 = -0*l. Let y be 8\/l*(-1)\/1. Suppose 258 = y*r - 198. What are the prime factors of r?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83741 + -11221359\/134. Let a = l + -1\/67. Which is smaller: -13 or a?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 17734*w - 3 - 17931*w in the form y*w + r and give y.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/s**(-1))\/((s**(-1\/22)*s)\/s))\/(s**(-46)*s*s)**(-2\/29) assuming s is positive.\nAnswer: s**(645\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (4 - (4 - 14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6032703 + 4?\nAnswer: 6032707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/11 + 1295\/77. Let z(n) = 20*n**2 - 23*n. Let i(c) = 6*c**2 + 8*c + 78. Let m(u) = -u**2 - 6. Let b(v) = -i(v) - 13*m(v). What is p*b(l) - 6*z(l)?\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 14*i**2 - 14*i - 12. Let l = 49 - 48. Let b(k) = -k**2 + k + 1. Give l*x(u) + 12*b(u).\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 438*k**4 + k**2 + 1761.\nAnswer: 1752*k**3 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 9. Solve -4*n + x = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-5*m + 0*m + 3*m)*(0 - 2 - 15)*(1 - 9 - 36)*((4 + 0 - 2)*(3 + 1 - 6) + 1 + 3 - 3).\nAnswer: 8976*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7441?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 67, 80, 77, 52, -1, -88, -215?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37\/97 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 4*g + 5. Let t = -9 - -4. Let y be p(t). Suppose 27 = -y*m + 3*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 33430203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1833, 2500, 6833, 11166, 15499?\nAnswer: 19832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8739299 a multiple of 1105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 40*g**4\/3 - 2206*g**3 - 45188*g**2\/3 + 7114*g - 2408\/3 = 0.\nAnswer: -7, 1\/5, 1\/4, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 2*q + 0*q)*(4*q + 2*q - 4*q)*(-2 + 2 + q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 410 = 5072. Is (-51)\/(-68) + g\/(-8) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -26.16, 2\/3, 0, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0, -4\/31, 6, 12, -71?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k + 1. Let j = 10 + -6. Suppose x = -x - 3*l + 4, -l + 8 = j*x. Suppose 5*b - 3 - x = 0. Determine y(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55\/3 + 223\/12. Find x such that 0 - k*x**2 - 1\/4*x = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoxohexhho. Give prob of picking 1 x and 2 h.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -5)*(2 + -1 + -5). Let w be 1227378\/o + (-10)\/(-8). Is (-42)\/189 - (w\/(-18) + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377209649 less than 96.351?\nAnswer: -377209552.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 7 = 2*f. Solve -2*b + f = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7194.7711 - 7193. Round q to two dps.\nAnswer: 1.77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 137679 and 1806308160?\nAnswer: 1806170481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 10. List the prime factors of f(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2052 + 2562. Are 511 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**2 - 15*x + 6. Let a be n(-4). Suppose -5*k + 2 = -3. What is the hundreds digit of 2\/12*489*a\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-7))\/(((-5)\/(-4))\/((-12075)\/(-460))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -273706 - 0?\nAnswer: -273706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-96) - 69\/(-45))\/(-3)*-1*8\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*h - 20*r + 27*r, 5*h = 3*r - 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 3*b + 1. Suppose 0 = 3*v - 4 - 2. Suppose -6 = -3*n - v*c, 0 = n - 7*c + 4*c - 13. Determine f(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-966)*8\/(-6).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2888*q - 2. Let o(m) be the second derivative of m**3\/6 + 6259*m. Calculate o(a(t)).\nAnswer: -2888*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 + 0 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (6 + -4 - 7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8332094 + -8332092.39999944. Let k = f + -1.6. What is k rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c = -2*q - 19, q = -2. Solve 0 = -0*r - c*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9097*c**3*x - 8*c**2*x**3 - c*x**3 + 2438*c*x + 2*x**3 - 1 wrt c?\nAnswer: 54582*c*x - 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r**2 + 8*r + 4. Let w(j) = -j**2 - j - 1. Give -s(v) - 6*w(v).\nAnswer: -v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 51 = -29. Let g(t) = -c*t + 37 - 30*t + 19*t. Let d(h) = -1. Let j(f) = -4*d(f) - g(f). Differentiate j(k) wrt k.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 5*v + 3. Let c(t) = -4*t**2 - 20*t + 12. Let m(s) = 2*c(s) - 9*z(s). Determine m(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -11, -5.\nAnswer: -11, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2458?\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-60)\/80)\/((-9)\/(-8 + 116)). Let b(p) be the first derivative of 19\/2*p**4 - 44 + a*p + 1\/3*p**3 + 0*p**2. What is the third derivative of b(z) wrt z?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 - 39*u**3 + 2*u - 3*u**5 + 17 + u + 2 - 7 wrt u.\nAnswer: -60*u**3 - 234*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**1*b**(-1\/4))\/(b*b\/(b**(2\/3)*b))**(2\/27))**21 assuming b is positive.\nAnswer: b**(-623\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c**3 + 37*c**3 - c**2 + 38*c**3 - 22*c**3.\nAnswer: 66*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4156*w - 110291 - 30387 = -32622 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4\/5)*b*b*b*b\/(b\/(b\/b**32)))\/(b\/(b\/b**10)*(b*b\/(((b**(-28)*b)\/b)\/b))\/b))**41 assuming b is positive.\nAnswer: b**(-14104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45 or 690?\nAnswer: 690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -341126606*c**4 - 286279195 with respect to c.\nAnswer: -1364506424*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 2646.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45.05 + 0.95. Let b = -45.81 + r. Let g = -0.29 + b. Which is greater: g or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 + 75. Which is the nearest to -2.3? (a) u (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65612 divided by -60?\nAnswer: -16403\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + o + 3. Suppose -4*s - 10 = -9*s. Suppose s*l = -l. Let c be w(l). Solve 2*i + 3 = c*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + -0.1. Let w = g - -0.5. What is the nearest to w in 5, 1\/5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 + h - 44*h**3 - 2*h**2 + 64*h**3 - 18*h**3 to y*h**3 + v + u*h**2 + d*h + t*h**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*z = 16407 + 69512, 3*k + 6*z = 64446. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1544 (base 7) to base 11\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4560274764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -24 - -8 - -13\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91387, 91391, 91377, 91339, 91271, 91167, 91021, 90827?\nAnswer: 90579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 7*c**2 - c + (0*c + 0*c - c)*(4*c - 4*c + c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -1\/30*t**5 + 0 + 0*t - 79\/3*t**3 - 1\/2*t**4 - 88*t**2. What is the derivative of w(o) wrt o?\nAnswer: -4*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336578 is divided by 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -79563 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzzf when four letters picked without replacement from {z: 2, t: 1, q: 5, e: 1, f: 3}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-22)\/(h*h**(-1\/4)) assuming h is positive.\nAnswer: h**(-91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 84, 47, -16, -111, -244, -421?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/15185 - -182206\/106295. Find the common denominator of g and ((-2)\/(-10))\/((-6)\/(-395)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1105898525.9 and 240.\nAnswer: -1105898285.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + 79. Suppose y + 13 = 3*u, -y + 5 - f = -5*u. Let n be 0\/(0 - (y + 0)). Solve 0 = 4*p - n*k + 3*k + 19, 28 = -3*p - 5*k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4800 - 4566. What is the smallest common multiple of 1846 and c?\nAnswer: 16614","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 93*g - 1002. Let l be k(20). Which is the closest to -2? (a) 2 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3296*i = -3293*i + 12, 4*i = -2*n + 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23548 to two decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4454 + -2\nAnswer: 4452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + (-48 - -7) - -46.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 71 + 3 - 42*q**2 - 76 - 4*q**3 to v + f*q**2 + l*q + n*q**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -17*z - 831. Let f be u(-49). Solve 29*d - 2 = 27*d + f*t, 5*d = -4*t - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(2448) + 0) + (0 + sqrt(2448))*-5 + 5 - (5 + 2 + 1*sqrt(2448))*-6) + -3)**2.\nAnswer: -1056*sqrt(17) + 4384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 13\/2*a + 19\/6 + 1\/6*a**3 + 7\/2*a**2 = 0?\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*35\/20*(-88)\/(-14). Solve 0 = 25*t - n*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 3 (c) -1\/6 (d) 6.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 44 + 3*f - 90 + 31. Let l be m(6). Solve -3*g + 6*g = -l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(16) - sqrt(64)\/sqrt(4))\/sqrt(2) - (sqrt(648) - sqrt(648)*1)) + -1)**2 - -4*(-1*sqrt(648) + -5)**2.\nAnswer: 720*sqrt(2) + 2693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnqp when four letters picked without replacement from nnnpqpnqnnnnnnqpqnnp.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 46.759494396 + -106\nAnswer: -59.240505604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/15 - 102*x**2\/5 - 126*x - 954\/5.\nAnswer: 2*(x - 159)*(x + 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sutd when four letters picked without replacement from sdfut.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**3*w**3 + s**3 - 1496*s**2*w**2 - 2*s*w**3 - s*w**2 - 2*w**3 + 123*w wrt s.\nAnswer: -6*s*w**3 + 6*s - 2992*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 20 = 8*m - 2*c, -c = 0. Let p(r) = r**2 - r - 16. Let w be p(-3). Let a be 3*(w - (-2 + -1)). Put 2, a, 5, m in decreasing order.\nAnswer: 5, m, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/233064 and 169\/846720.\nAnswer: 913610880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/11 (b) 20 (c) -212362 (d) 0.5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(567) + (-1 + sqrt(567))*1 - sqrt(567))**2 - (sqrt(567)*-1 + -2 + sqrt(567))) + -5.\nAnswer: -18*sqrt(7) + 562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -705 - 150. Calculate the common denominator of t\/10*(-2)\/(-12) and 73\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -7408254.\nAnswer: -7408254.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 7 = 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44671, 19, -4.\nAnswer: -4, 19, 44671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-158\nAnswer: -47.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -877244 and 148.\nAnswer: -877096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -431*m - 117*m + 9261 - 11156 - 39753 for m.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 6*d**2 + d - 3. Let z be (14\/(-4))\/(5\/(-10)). Suppose -17 = 8*l - z*l. Let k = l + 11. What is t(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e7c + 2a?\nAnswer: -e52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 147\/(-28)*8\/6 + 15 + -6. Solve -3*c = v*u - 13, 3*c - 10 = -13*u + 8*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 7*u**2 + 2*u - 1. Let d be (42\/12)\/(2\/(-4)). Let s be k(d). Let v = s + 67. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*k - 88*k - 1216. Is k < -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-614)\/(-3) - (-6)\/(-9). Let f be h\/306 + 2*10\/(-48). Which is the nearest to f? (a) 0 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -106 + 22*j**4 - 18*j**2 + 106 wrt j.\nAnswer: 528*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/4*(-80)\/(-6). Suppose -85*r + 79*r - 204 = 0. Let d = 42 + r. Calculate the greatest common factor of g and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 166865692 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*o - 19 = 94, 12 = 4*o. Suppose 2*x - z = x. Calculate the remainder when x is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-756)\/(-22) + (-24)\/66 + (19 - 33)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25.1607 and 0.4?\nAnswer: 10.06428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/200)\/((-5)\/((-50)\/6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/7 + 5*x**2\/7 + 6*x\/7.\nAnswer: -x*(x - 6)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3.5405 - 18521973.4\nAnswer: -18521976.9405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7425810.711 - -0.047.\nAnswer: -7425810.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137 by 5.\nAnswer: 137\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01272 and 0.2.\nAnswer: 0.002544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/3*(-41*(-4)\/16)\/(-7). Are n and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 - -0.95. Let f = -0.45 - n. Which is the closest to -0.2? (a) -1 (b) f (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 82 = -2*s. Let k be -2 - 32\/16*(-10)\/4. Suppose k*i + 0*i - 8 = -4*q, s = 5*q - 4*i. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 24 = o, 52*m - 25*m - 3*o = 22*m - 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-32)\/12)*(-16)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 9 + (0 - 1) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 20, -114*q + 112*q + n + 11 = 0. Solve -2*f + 2*b = 0, 6 = -3*b - q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - c - 6. Let p be k(-4). Suppose 0 = -p*d + 3*d - 66. What is the common denominator of 3\/(-1)*74\/d and 85\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203 - 136 - 137 - 65\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 0 - 1) + (-1 - -1) - (-17625 - -17592)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60880331951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * -1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-130)\/4)*(-28262)\/7609.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Suppose -2*w - j = -w - 2, 5*w - 4*j = 19. Suppose 2*b + w*b - t - 45 = 0, p = -5*b - t + 35. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3159) + sqrt(3159)*-3 + sqrt(3159))\/(sqrt(192)\/sqrt(4))*4.\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/40 - (-4 - (-581384)\/(-80))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**2\/3 - 146*k\/3 - 5329\/3 = 0.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -97924 smaller than -97923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*g - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3973, 7909, 11771, 15523, 19129, 22553?\n\"Answer: -6*u**3 - u**2 + 3981*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 29 - 72 + p + 37.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932498093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -145582.5 - -145582. Let k = 0.03 + -4.03. Which is the third smallest value? (a) 11 (b) w (c) k (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -2a?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 10. Let f be x(7). Suppose -4*k + 1 = 2*v + 7, -f*v - k + 11 = 0. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -6*m + 1199. Suppose 0 = 2*i + 325 - m. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 11880. Let b(y) = -9*y. Give b(u(k)).\nAnswer: 9*k - 106920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 15 = -3*r, 4*r - 20 = -3*f - f. What is the tens digit of r + -2 + -5 + 2*101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 287, 795, 2, -6 in descending order.\nAnswer: 795, 287, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2183 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 + 9*r**3 + 6*r**2.\nAnswer: 3*r**2*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 28*b - 57969 = 0. Let y = b - 938. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100 - 54. Is 12 a factor of f - (3\/(-12) + 65\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 10 = 5*c, -9*c + 2 = -5*c - 2*x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 303, 5, -1 in ascending order.\nAnswer: -1, 5, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + 29*w**2 + 59*w - 5. Give u(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**4\/4 + b**3\/3 + b**2\/2 + 4*b - 32. Let c be (-3 - 2\/(-2)) + 0. Let j = 1 - c. What is d(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-4)*(3915\/145)\/27\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w - 4*w - 8*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2630 - 2635. Let m(n) = n**3 - 4*n**2 + n. Let l(g) = g**3 - 2*g**2. What is v*l(d) + 3*m(d)?\nAnswer: -2*d**3 - 2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4733 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011110101011110011 (base 2) in base 9?\nAnswer: -650888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.007614um in kilometers?\nAnswer: 0.000000004007614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.24 + 0.24026. What is f rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 2. Let g = -7 - k. Is g*((-15)\/1 - 1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108584 divided by 1108?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s**3 + 6*s**2 - 7*s + 4. Let u(d) = 13*d**3 - 12*d**2 + 13*d - 7. Let v(x) = -7*k(x) - 4*u(x). Factor v(p).\nAnswer: -3*p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2187*j**3\/8 + 3057*j**2\/8 - 1311*j\/2.\nAnswer: 3*j*(j - 1)*(729*j + 1748)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/88 and 33\/37252.\nAnswer: 819544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*r**3*t**2 + 3997*r**3 - 3054*r**2*t**4 - 2 wrt t.\nAnswer: -6*r**3*t - 12216*r**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -1, -1\/2, 3\/2, 0.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -74 and -0.089.\nAnswer: 6.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 9*c + 13. Let m be y(10). Suppose 3*k - 20 = 2*k + m*i, -5*k + 4*i + 56 = 0. Calculate the remainder when 13 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120.6 + 125. Let l = d + -4.8. Suppose -5*r - 5 = 5. Which is the nearest to -2\/3? (a) 1\/2 (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 1968?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 7*t + 6. Let o be b(7). Let s = o + 76. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0441196851 + -0.42.\nAnswer: -0.3758803149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 12*q**2. Let j be i(1). Let l = j - 7. Factor -2\/3*c + 0*c**4 + 4\/3*c**3 + 0 - 2\/3*c**l + 0*c**2.\nAnswer: -2*c*(c - 1)**2*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8 - (-40 + 29) - (-1 - -7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 + 17*j**3 + 2*j**2 + 2*j**2 - 2*j + 3 + j**2. Let g be p(2). Suppose 51 = -b + g. What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 12*n - 4. Let b be a(0). Sort -2, 2, b, 2\/115 in increasing order.\nAnswer: b, -2, 2\/115, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-386)\/(-3088))\/((-1)\/(-56)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) + sqrt(17)*2 + 4 + 0).\nAnswer: 8 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*v - 442 + 8 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*n - 74*n + 75*n + 230*n.\nAnswer: 499*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225651115.\nAnswer: 5, 17, 2654719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 577154 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 203\/261 + 4\/18\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 3*d - 4. Let g be (-7 - -6)\/(1\/(-3)). Is s(g) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*u - 27. Suppose -d + 1 + u = 0. Suppose -2*s + 5*s - n = 16, -23 = -5*s - 2*n. What is the smallest common multiple of s and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 6\/7 - 2088\/(-3857). What is the fifth biggest value in -15, -1\/2, a, 1\/2, -0.1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 119*n - 343. What is p(116)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - s + 8 = 0, 5*s - 5 - 17 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2 + 3*o - 91. Is s(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110011010000 (base 2) to base 5\nAnswer: -214001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 344 - 124. What is the greatest common divisor of 20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 183*x**5\/5 - 14*x**4\/3 - 150*x. Find the third derivative of s(t) wrt t.\nAnswer: 4392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*m + 3*c, 3*m - 122*c - 26 = -126*c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69000534433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/308 - 58\/77. Let h = -0.26938 - -0.06938. Let m = 8 - 12. What is the fourth smallest value in d, 1\/4, m, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120258 divided by -1\nAnswer: 120258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, 4, 68, 158, 274?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = 22*g - 35*g. Suppose 2*q = 4*f - 66, f + q + g - 37 = 0. Calculate the smallest common multiple of f and 78.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 25*j + 233. What is the tens digit of s(31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, m: 1, h: 3, d: 1, u: 3}. What is prob of picking 1 d and 1 m?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 595883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/4, -0.5, 1433, -0.2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9108 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 10*g. Let n(t) = 27351*t**2. Calculate n(u(f)).\nAnswer: 2735100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {a: 1, v: 3, g: 4, c: 4, r: 1, s: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b. Let l(n) be the third derivative of 0 + 0*n**3 - 3*n**2 + 0*n - 1\/12*n**4. Determine l(f(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 + 3*o + 2. Let i(k) = 2*k**2 - 6 + 0*k - 2*k + 5. Calculate 4*f(r) + 7*i(r).\nAnswer: -2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -40*q**5\/3 - 15502*q**4\/9 - 30824*q**3\/3 - 16500*q**2 - 2208*q + 738 = 0.\nAnswer: -123, -3, -1\/3, 3\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, r: 2, i: 3, a: 9}. What is prob of sequence rsrs?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 512 and 188568?\nAnswer: 12068352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 13 = w, 2*b = -3*w + 2*w + 8. Solve 0 = -5*u - b*o - 5, 5*o + 2 + 3 = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474 = -3*y + l, 0*l = y + 4*l - 158. Let w = y + -155. Solve w*r - 4*d = 23, -r - 2*d = -d - 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) - (3 + sqrt(1573))))**2 - (-3*sqrt(13) + 5).\nAnswer: 69*sqrt(13) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -11*r - 2. Let c be i(-1). Solve 2*y - 3 = -c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 13*d**2 + 5*d + 11. Let w(j) = j**3 - 13*j**2 + 6*j + 12. Let k(t) = 3*g(t) - 4*w(t). List the prime factors of k(12).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 5*h**2 + h - 5. Let n be l(5). Suppose 0 = -5*c + 2*c + 5*o + 25, -2*c + 19 = -o. Suppose -2*p + 26 + c = n. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 503 + -846. Let v = -245 - g. Suppose -m - 5*x + v = 3*m, 46 = 2*m + x. Calculate the remainder when m is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -364.2794239 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 7. Let d be 4\/(-6)*3 - -5. What is the remainder when g is divided by (-4)\/d*6\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6 = -5*n + 14, 1 = 2*n + 3*v. Suppose 33 = 2*o + 5*d - 68, 2*d - 2 = 0. Suppose 4*l = o - n. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**3 - 2*h**2 + 2. Let b(z) = -5*z**3 + 3*z**2 - z - 3. What is 2*b(s) + 3*o(s)?\nAnswer: 5*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.993433ml to litres.\nAnswer: 0.009993433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 404978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 2 - (-1 + 2). Let n(v) be the third derivative of -17*v**6\/40 + v**5\/30 - v**3\/6 - 8*v**2. What is the units digit of n(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308 - 273 = -7*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + k**3 + 0)*(1 + 2*k - 1) + 6*k**4 - 2*k**4 - 2*k**4 - 2*k**3 + 4634*k - 4634*k + 993*k**4.\nAnswer: 997*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5 = 3. Let a = 13999 + -13991. Solve 4*j - a = m*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -165 + 165. Suppose y = 7*l - 2050 - 2199. List the prime factors of l.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:42 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 2\/3*z**3 - 1\/2*z**2 + 56 + 2*z - 1\/4*z**4. Calculate g(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(117) - -2*sqrt(117)) + sqrt(117))*1)\/(sqrt(360)\/(3*sqrt(10) - sqrt(10))).\nAnswer: -14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 932518, 932554, 932590, 932626, 932662?\n\"Answer: 36*n + 932482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 4*q**2 - 2*q - 10. Suppose -34 = -2*r + 4*l, -3*r - 3*l = -l - 19. Is d(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*i**3 + 5*i**4 - 15 + 31*i**3 - i**4 - 2*i**2 - 2*i - 68*i**3 in the form h + z*i**3 + u*i**2 + c*i + t*i**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-10))\/((-13)\/(-1950)*12).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4\/9 + 140*x**3\/9 - 148*x**2\/9 - 140*x\/9 + 16 = 0.\nAnswer: -36, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 26 = -2*l, 5*l + 19 = 2*s + 2*l. Suppose -s*x - 384 = -11*x. Let q = -116 + x. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474631825 to the power of 1\/4, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 91*r - 656. Give n(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6 (b) 1 (c) 0.05 (d) -2080\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/661, -0.07, 1.909.\nAnswer: -0.07, 3\/661, 1.909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h + 3*h + 0*h - h - 1. Suppose -15 = o - 4*o. Suppose 3*s + 37 = 5*v - s, 40 = o*v - 5*s. Give q(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27820 + 27831. Solve -q + h = -4*o, -3*o = o - 5*q - 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -170*i**3 + i - 2*i - 136*i**3 - 14 + 205*i**3 wrt i.\nAnswer: -606*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28334c + 1?\nAnswer: 28334d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2071794 to the nearest integer?\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 10. Let n = -22 - -13. Let y = 9 + n. List the prime factors of z(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4507903018.\nAnswer: 2, 10301, 218809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 7. Let z be g(-7). Suppose z = 4*x + 8 + 12. What is the second biggest value in x, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5)\/b**6)**(-38)*((b\/b**(-3\/2))\/(b*b**4\/b))\/(b**1)**(3\/8) assuming b is positive.\nAnswer: b**(8437\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.8926 and -12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/5 - 627*v\/5 = 0 for v.\nAnswer: -627, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1113*39 + 944\/118?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 - 12*x**3 + 23 - 10*x**4 + 24 + 108*x - 109*x to the form d*x**4 + k + z*x**2 + u*x**3 + t*x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 2*x = 102. Let i(o) = 5*o**2 - 19*o + 27. What is the lowest common multiple of i(x) and 1?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3))**(1\/15)\/(n*(n*n*n\/n**(2\/3))\/n)**(-20)*(n**(-1))**(-12)*((n\/(n*n**(2\/7)*n))\/n)**(-3\/43) assuming n is positive.\nAnswer: n**(797101\/13545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 65025327?\nAnswer: 65025326.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/7 (b) -6.6 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.28 - -23604?\nAnswer: 23637.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 40*c + 161. Calculate b(-36).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/4 - 107*i**3\/4 + 1113*i**2\/4 + 2551*i\/4 + 665\/2.\nAnswer: (i - 95)*(i - 14)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (sqrt(684) - (sqrt(684) + 1 - sqrt(684) - sqrt(684))))**2 + 4 + (sqrt(684) + 3)**2 + 3.\nAnswer: 24*sqrt(19) + 1385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9073127?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -8130 to the nearest one hundred.\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/7 + 272*x**2\/7 - 1670*x + 23100.\nAnswer: -2*(x - 66)*(x - 35)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -859, -2011, -3463, -5203, -7219, -9499, -12031, -14803?\n\"Answer: 2*d**3 - 162*d**2 - 680*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132342 divided by 138?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1578305 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.03 - -1.33. What is z rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Let h be 2 + (p - 3) - -3. Solve 2*c - 2*s = -h, 0*c = -3*c + 4*s + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 25*h + 47. Let k(d) = 26*d + 4. Let c(r) = -f(r) + k(r). Determine c(-18).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 5*z + 5 = l, -3*z = -4*l. Suppose -4*c - 3*h = 72, c + 6 + 21 = -l*h. What is the tens digit of ((-20)\/c)\/((-4)\/(-126))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4342 = -688*u - 29110 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2 - 9*g - 22. Let w be k(-7). Suppose 6*r + w = -123. Calculate the smallest common multiple of 5 - (7\/(-5) + (-24)\/r) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19061\/294 - 10\/12. Put -5, u, 5 in decreasing order.\nAnswer: u, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-6)*31*(70 - -36) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(84)*2)\/(-2*sqrt(864) - sqrt(6)))\/(sqrt(18)\/(sqrt(9) - sqrt(9)*-2) + sqrt(2) + 1*sqrt(98)).\nAnswer: 6*sqrt(7)\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/4412 and 119\/13236.\nAnswer: 13236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2368224 years?\nAnswer: 0.02368224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -47*a**3 - 842*a**2 + 72*a + 4. Give p(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -4. Suppose -i*u = -u - 230. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 q when four letters picked without replacement from {u: 2, q: 6, j: 4, a: 6}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - l = 2*c + 6, -c + 15 = 4*l. Let a(w) = 8*w - 1 - 3*w**2 + 4*w**3 - 5*w**c + 6. What is the units digit of a(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2592283, -2592293, -2592309, -2592331?\n\"Answer: -3*o**2 - o - 2592279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5\/2 + 12*m**4 + 91*m**3 + 180*m**2 - 567*m\/2 = 0. Calculate m.\nAnswer: -9, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32031 = 12*n + 31779 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6677, 13331, 19959, 26561, 33137, 39687?\n\"Answer: -13*u**2 + 6693*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-19 + 13 - (-13 + 3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -1792*g + 1793*g. Suppose 2*q + 7 = 5*n, -2*n + q + 3 = -0. Sort n, -15, -1, g.\nAnswer: -15, -1, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(2)*-5)*-2*4 - (1*sqrt(22)*3)\/sqrt(11).\nAnswer: -51*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -65*b + 15*b**2 + 10 + 32*b - 9 + 34*b. Give g(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -112 + 306. Let j(m) = 4*m**2 + 2*m + 4. Let g be j(5). Suppose -k = -4*n + g. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 k when four letters picked without replacement from mkmkmkmkmm.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-4))\/3 - -1. Let z = 0 + 2. Let c = z - 3. Which is greater: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68560*m**3 - 449271.\nAnswer: -205680*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 1944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 13, 1 in increasing order.\nAnswer: -2, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 20. Let x be v(-28). Solve -9*j + 4 = -x*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1267.5024 and 1.\nAnswer: -1266.5024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(35)\/(sqrt(125) - sqrt(125)*-1).\nAnswer: sqrt(7)\/10 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-6) - 36\/(-8). Solve 0 = o*n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132966, -133723, -134480, -135237, -135994?\nAnswer: -136751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 167*h - 350*h + 3 + 174*h. Calculate w(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, k: 1, s: 3, t: 2, e: 4, z: 3}. What is prob of sequence elsk?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050 a factor of 10313180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 72763705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 87823348?\nAnswer: -87823347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*z**5 + 117*z**4 - z**3 - 10*z**2 + 16*z wrt z?\nAnswer: 480*z**2 + 2808*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 - u**2 - u + 2. Suppose 2*k = 6*k + 8. Let m be w(k). Suppose 0*o = -2*o + m. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 3*k - 3. Let l be w(4). Let g be l\/1 - (-3 - -1). Suppose -g*v - 2*v + 20 = 0. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 7*s + 11. Let z be r(-8). Suppose -2*j + 1 = z. Find the common denominator of 50\/11 and 2 - j - (-27)\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-497375)\/(-345))\/(-173)*(-18)\/(-70).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10db9 (base 15) to base 8\nAnswer: -150734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f + 7. Let w(k) = k - 1. Let g = 13 + -11. Suppose 4*i - u = 11, 3*i + u = 8 + g. Let o(s) = i*z(s) + 21*w(s). Give o(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 13*u - 17. Let i be 0 - (-1 + 1 - -9). Let y(k) = 2 + 2 - 5*k + 8*k - 8. Determine i*y(n) + 2*v(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 3 = 2*s. Suppose 4 = s*d + 4. Suppose d = -3*k - k + 56. Solve k = 5*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-570)\/55*12595\/(-24045).\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1595, -220, -0.4 in ascending order.\nAnswer: -220, -0.4, 1595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/12)\/((-25)\/(-50)). Determine s so that 1\/6 + 0*s - d*s**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 2 + 2*n**2 + 2 + (n - 2*n + 3*n)*(0*n - 6*n + 2*n).\nAnswer: -6*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*q - 35, -32 = -u + 2*q - 3*q. Let h = u + -10. Suppose h = 2*p + 4*y - 35, 5*y - 115 = -5*p. Is 19 equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(980) - (sqrt(980) + 2*sqrt(980) + sqrt(980) - sqrt(980)))\/((-2*sqrt(70) + sqrt(70))\/sqrt(7)).\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15943 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 6*n - 1. Let j be y(6). Let p(h) = -h - 4. Let c be p(-3). Are c and j unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8359 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1567?\nAnswer: 3134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**5 + 54*t**4 + 87*t**3 - 168*t**2 - 396*t - 192 = 0.\nAnswer: -16, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*(4 + sqrt(192) + -3*sqrt(192)) + 3))**2*3.\nAnswer: -24000*sqrt(3) + 232275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q - q - 2*q. Let x(o) = -2*o**2. Calculate i(x(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 16) in base 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 16*x**3 + 3*x**2 - 2*x + 1. Let l(g) = 49*g**3 + 11*g**2 - 7*g + 3. Let z(t) = -7*i(t) + 2*l(t). What is z(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 19 = 25. Let q(u) = j*u - 4*u - 4*u. Let s(p) = -2*p. Calculate s(q(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 4:31 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2338 - 4769\/2. Let g be (0 - -24)\/3 - 2. Let w = -159\/22 + g. Find the common denominator of w and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*q + 148124 + 124856. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4808 - 9?\nAnswer: -4811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 12:52 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-16)\/(-428))*8*1. Let v = -172 + r. What is the remainder when 333 is divided by v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -407034 divided by -6\nAnswer: 67839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1246 - 0?\nAnswer: 1246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -1\/208 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 26 + 38 = 0. Solve b*c - 40 = -22 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, y: 1, u: 4}. Give prob of sequence lyu.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1356)\/84 - -17) + (-900)\/70.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a meter in millimeters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -55 + 209. Let q be (-15)\/10 + 319\/r. Factor -q*s + 4\/7*s**2 + 0.\nAnswer: 4*s*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, n: 3, j: 5, i: 3}. What is prob of picking 1 d and 1 n?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, z: 9}. Give prob of picking 2 z and 2 l.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 701979470 + -1473.95?\nAnswer: 701977996.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 43552000 (base 6) in base 10?\nAnswer: 1305504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*v - 331 - 18570 = 215*v for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -431, -413, -395, -377, -359?\n\"Answer: 18*i - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.9 - 12. Let l = 0.9 - y. What is the smallest value in -2, l, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407.6803mm in centimeters?\nAnswer: 40.76803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/9)\/(-4)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 0)*48\/20. Let x be (-4)\/3*12\/8. Let y be 11 + t - (-4)\/x. Sort -9, y, 1.\nAnswer: -9, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p + 2*p)*(3*p**3 + 0*p**3 - 2*p**3)*(-p + p + p).\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 11:53 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 286533?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002734628475 rounded to six decimal places?\nAnswer: 0.002735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2. Let x(i) = 4*i**2 + 3*i + 1. Let t = -8 + 6. Let k be x(t). Let w(f) = 6*f + k*f - 11*f. Determine w(r(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35273, 70582, 105941, 141350, 176809?\n\"Answer: 25*q**2 + 35234*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/((w*w\/(w*w*w**(-4\/9))*w)\/w))\/w)\/(w*w**(-2\/19)*w))**18 assuming w is positive.\nAnswer: w**(-458\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 7*b + 4*b**2 - b**3 + 70*b**3 + 15*b + 6*b as d*b + q*b**3 + g + w*b**2 and give q.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 539845291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 6*f**2 - 163*f - 357. Determine v(-18).\nAnswer: -1311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5 - 54*q**3 - 108*q**2.\nAnswer: 2*q**2*(q - 6)*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 968 equal to 974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -11*o - 11. Let p(j) = -5*j - 10. Let u be 1*(-1 - (-4 - -2)). Let x(k) = 1. Let a(r) = u*p(r) + 5*x(r). Determine 13*a(d) - 6*n(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z + 14. Let b(y) = -y**3 - 3*y**2 - y + 3. Let x be b(-3). Let i be h(x). Let d(o) = -2*o**3 - 5*o**2 + 3*o + 2. Does 14 divide d(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from gnnngggggnngg.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -258.54 and 1.6?\nAnswer: -413.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 12}. Give prob of picking 1 t and 1 n.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9 = 3. Find the third derivative of -10*a**2 - 5*a**d + 22*a**2 - 7*a**2 wrt a.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*t - 0*j - j, -3*j - 12 = 0. Suppose t = -w - 3*a, 3*w = 4*w - 3*a - 6. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1932 - 95*r**2 - 1932 as g*r**2 + z*r + j and give g.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.6. Let s be (-9)\/(-13)*5\/30. Let f = s + -61\/78. Which is the closest to 0? (a) f (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35 - -73?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**4\/6 + m**3\/3 + 2*m**2 + 26. Give b(-9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11133566 divided by 5566783?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 15*g - 65 = 0. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 4:03 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -3*p. Let t(j) = -j**3 - 8*j**2 + 2*j + 18. Let h be t(-8). Suppose 4 = -h*o - p*o. Is o >= -1\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-5632)*-66)\/((-15)\/100*6\/4).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -160184, -320363, -480542, -640721, -800900?\n\"Answer: -160179*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - -4. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+8730\nAnswer: 8730.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -5 + 0*d**2 + 5\/3*d**3 - 4*d. Differentiate f(m) with respect to m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209\/(-31)*(-28)\/(-84)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxkcccxccckxcc. What is prob of sequence kkc?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3569 and 46895?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 9. Let x(q) = -30*q**2 + 28*q**2 - 2*q + 2 + 4. Let t be x(-3). Is t >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 21*i + 2. Let r(n) = 42*n + 4. Determine -13*q(y) + 6*r(y).\nAnswer: -21*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 + 109. Suppose 33*p - s*p = 805. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 373*r - 8. Determine a(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*d - 1568 = 64*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77879.64mm in micrometers?\nAnswer: 77879640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z. Suppose 4*f - c = f + 589, 3*c = -2*f + 400. Let k(p) = -197 + f + 2*p**2. What is t(k(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -6 - -5) + -8 + 3 - (-21 + -2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36858 - -73691. What are the prime factors of r?\nAnswer: 36833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 3*k**2 - 5*k - 2. Let b = 11 + -15. Let q be r(b). Solve -x - 10 = -0*g - 4*g, 0 = -q*g + x + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714689 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c**2 - 6*c - 14. Let s(o) = -2*o**2 + 2*o + 5. Let f(a) = -8*a**2 - 1. Let r be f(1). Let z = -3 - r. Give z*p(w) + 17*s(w).\nAnswer: 2*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -980613 and 4.2.\nAnswer: -4118574.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337*o - n = 335*o + 654, 0 = -4*n + 16. Calculate the greatest common divisor of 45073 and o.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.897 + 43.82. Let x = 0.077 + p. Which is smaller: 1\/13 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 441456, 882938, 1324420, 1765902?\n\"Answer: 441482*s - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27698, 27626, 27556, 27488, 27422, 27358, 27296?\nAnswer: 27236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1779693*t**4*w + 2*t**3*w - 3*t**3 + 35*t**2*w + 5*t**2 + t*w - 95*t - 12*w + 3 wrt t?\nAnswer: 42712632*t*w + 12*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 303 and -0.62.\nAnswer: -187.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32 and -3181.\nAnswer: -101792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77773*a**2 + 155536*a**2 - 77758*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**3 - 10504*p**2 + 20996*p - 10496 = 0?\nAnswer: 1, 2624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**5\/60 + z**4\/8 - z**2. Let b be a(-3). Suppose b*w + 345 = 5*w. What is the highest common divisor of 46 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51233683 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-447)\/1192*(-3264)\/324. Factor o + 1\/9*x**2 - 19\/9*x.\nAnswer: (x - 17)*(x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*f - 8*f**2 + 49*f - 2*f**2 - 2.\nAnswer: -10*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011011011001001 (base 2) in base 10?\nAnswer: -46793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 3*v**2 + 5*v + 9. Let k be l(5). Let o be 0 + (-9)\/(k\/(-28)). Suppose -o*i + 12\/13*i**2 + 2\/13 = 0. Calculate i.\nAnswer: 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0099 + 17.5699. Let i = -14.5 + -2.5. Let r = i + x. Round r to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in decades?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20*(32\/10)\/4. Suppose -2*w = 4*a + w - f, 4*w - 11 = 5*a. Suppose -4*n + a = -11, -6 = 3*x + n. Sort -2, 2, x.\nAnswer: x, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1483 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 3\/(-5))\/((-18)\/180). Let f(x) = -3*x + 16. Let r be f(y). Suppose 0*p + r*p - 244 = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 244 or 243?\nAnswer: 243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**2 + 17*r**2 + 86*r**5 - 10*r**2 + (-3 + 3*r**2 + 3)*(0*r**3 + r**3 + 0*r**3) - 2*r**5 - 1 + 1.\nAnswer: 87*r**5 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) + (-12)\/(-56)*81. Let a = z + -715\/42. Let w(u) = -u + 3. Let j be w(7). What is the closest to -2\/39 in a, 4, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*y**3 - 61*y**3 - 335*y**2 + 35*y**3 to the form o*y**3 + d + w*y + r*y**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -2. Let v(g) = -g**2 - 6*g + 9. Let y be v(-6). Let s = y + q. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -73*v**2 - 59*v + 438. Let c(o) = -24*o**2 - 20*o + 155. What is -17*c(a) + 6*s(a)?\nAnswer: -30*a**2 - 14*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/2 - 373319*o**2\/2 - 34840462287*o\/2 + 243901528983\/2 = 0. What is o?\nAnswer: -186663, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 7.7, 0, 3\/7?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - 0.3. Let q = 0.08 - 1. Let x = -0.82 - q. What is the second biggest value in x, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*x - x - 14, 3*x = -h - 10. Suppose -7 = -h*p - 5. Let j(i) = -i + 3. Let z be j(5). What is the closest to z in p, -0.5, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 541 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + 44819d6?\nAnswer: 4481a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 2 (c) -70 (d) -0.1 (e) -2\/47 (f) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*4\/(-16)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3414 + 360513?\nAnswer: 364230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(4 - 2)\/(-2). Let d = -0.33 + 0.23. What is the closest to d in -0.4, -1\/5, q?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/9)\/m*m*m**(-1\/4))\/(m\/(m*m\/(m\/m**(1\/3))))**(5\/7))**(25\/4) assuming m is positive.\nAnswer: m**(-1475\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -766 - -1219. Suppose t + 657 = 5*j. What is the tens digit of (j\/(-9))\/(2\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*t + 17, -u + 24 = 2*u - 3*t. Let -7*y**4 + 4*y**2 - 10*y**4 - 54*y**5 + 18*y**u + 17*y**4 = 0. What is y?\nAnswer: -1\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*y + 0)*(8242*y**2 - 16464*y**2 + 8224*y**2 + 352*y).\nAnswer: -4*y**3 - 704*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 23892542*g + 23892542*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {m: 7, p: 2, k: 1}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 6, 1 + 8 = -2*h - b. List the prime factors of (-1)\/(-1) - h - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -12. Let c = -0.43748 - -0.03748. Sort c, 4, t, -2\/9 in descending order.\nAnswer: 4, -2\/9, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuxkkxuuxyx. Give prob of picking 2 k, 1 u, and 1 y.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 - 29*c**2 + 20*c - 10. Let a be h(14). Let g = -62 + a. What is the lowest common multiple of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38592)\/(-57888))\/(1*(2\/(-2) + (-139)\/(-138))).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 243 + 37 = 5*j, 0 = -4*j + 5*s + 215. Calculate the greatest common factor of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 3, 0.1, -56, -288?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17621?\nAnswer: 67, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12957.7 greater than or equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1429, 1455, 1497, 1555?\nAnswer: 1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 plus 2987552822327?\nAnswer: 2987552822298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 2\/7, 3\/17, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19462 is divided by 124.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (3 + (-9 - 1) + 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 625.17826 days to weeks.\nAnswer: 89.31118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 6:41 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * 0.183.\nAnswer: -0.01464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6711 - 1651. What is the thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16\/5 + -17\/10. Let n = -64\/97 + -2\/291. What is the closest to n in -0.5, c, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szfmo. Give prob of picking 1 m and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*h**2*z**3 - 9*g*h*z**3 + g*h*z**2 + 91*g*h - 3*g*z**3 + 2*h**2*z**3 - 2327930*h**2 + 36*h*z**2 - z**2 wrt h.\nAnswer: -2*g*z**3 + 4*z**3 - 4655860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5973 - -5826.3. Round z to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4004 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19189539583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 47. Let g = -16 + w. Let y = g + -6. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - q + 0*q)*(-3*q + 3*q - 6*q) - 2*q + 2*q + 1 + 2*q**2.\nAnswer: -10*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -7 + (-2 + -8 - -18) + -1\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -11. Let l = 4 - r. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -217713, -435427, -653141, -870855, -1088569, -1306283?\n\"Answer: -217714*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 374*o**2 - 693*o + 127. What is a(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15305516 and 7860.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -733549*p**5 - 553514*p wrt p?\nAnswer: -14670980*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8767 to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97268.\nAnswer: 2, 24317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*16\/(-140))\/(2\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(4\/11))*h**5*h*((h\/(h*h*h**(-3\/11)))\/h)\/(h**(-6)\/h))\/((h*h*h**(-2\/3))**(-15\/8)*(h\/(h\/h**(-8)))\/(h\/(h*h**9))) assuming h is positive.\nAnswer: h**(273\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 6*b**2 + b - 3. Let g be l(6). Let a(k) = -k - g*k - 3*k. Let j(z) = -13*z - z - 4*z + 0*z + 17*z. Give j(a(p)).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2620.781 kilometers in millimeters?\nAnswer: 2620781000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (16 - (-2 + 2 + 4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, i: 2, h: 1, e: 2, j: 2, t: 4}. What is prob of picking 1 j and 1 h?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1101*r - 539*r - 542*r = 160 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -28*t**3 + t**2 + 5*t + 5. Let b be k(-2). Let y = b + -147. What is the greatest common divisor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1 + 10 - 10 + 29*k + 1. Let o(l) = 4*l. What is o(u(b))?\nAnswer: 116*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 22\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -806*m**2. Let w(i) = -43*i**2 + 45*i**2 - 83 + 83. What is h(w(b))?\nAnswer: -3224*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9.6787 + 2108.1\nAnswer: 2098.4213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8544\/5)\/(-2) - (-552)\/(-920). Let l = -846 - z. Solve 3*w + 3 + l = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 955959 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 528608 and 1168.\nAnswer: 38588384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*(70\/75 + -1)*15. Let r(u) = -u + 20. Let p be r(15). Let y = p + -23\/4. Put y, -0.03, m in descending order.\nAnswer: m, -0.03, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -543 + 205552?\nAnswer: 205005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 14910.\nAnswer: 164010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from wrwrrwzrz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2592532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2151641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1399*g = -1380*g + 38 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7758 and 828.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1466, -1106, -648, -92, 562, 1314, 2164?\n\"Answer: 49*f**2 + 213*f - 1728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2885 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: Solve 0 = -7*i + 11*i - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/156 and -41\/30.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = 24 + 16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75147 and 1221?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - t - 3*t = 0. Solve -z - l - 3 = t, -4*l + 0*l - 12 = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -27*f - x, 0*x + 3*x = -15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -32*c - 1. Let h be x(1). Let y = -27 - h. Let l(w) = -43057*w**2 + 12*w - 20. Let g be l(y). What is g rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 6*h**2 - 5*h + 4. Determine p(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**25\/s**(-3\/4) assuming s is positive.\nAnswer: s**(103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -2\/5, -0.27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350*u + 338*u + 99672 = 0. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 n when three letters picked without replacement from nnnnnbnnu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -1007283182.\nAnswer: -1007283181.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 41659*y**2 - 83318*y**2 + 9222*y + 41660*y**2 in the form r*y**2 + i*y + h and give i.\nAnswer: 9222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47883 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15807, -31598, -47389, -63180?\n\"Answer: -15791*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 13*z + 252. Suppose -13*y + 16 = -z. Find the common denominator of y\/(-18)*1005\/(-70) and -43\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59985*j + 59994*j + 5*n - 83, -2*j + 2*n = 22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 1:45 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48.09 + -0.09. Let p = t - 47.9999832. What is p rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -0.2 (c) 1\/4 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n**3 + 104*n**2 + 3*n - 46. Is 3 a factor of m(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.41, -4\/5, 9\/175?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1721156 by -13.\nAnswer: -1721156\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 0, -0.032261, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23bb + 2?\nAnswer: -23b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 9.5233\nAnswer: -9.2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87\/670 - -2\/67. What is the second biggest value in y, -4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*s + 94*s - 183*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 388 - 181. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -26*x + 35*x + 200 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 - 117 = -4*j - 4*c, 5*c + 175 = 2*j. Let q be 1*-6*(-8)\/(-48)*-3. What is the smallest common multiple of (j\/(-2))\/(-10 + 6 + q) and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-6\/13))**(7\/3)\/(r**(-1\/15)*r*r*r**(-4)))**(22\/5) assuming r is positive.\nAnswer: r**(7832\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-36)\/3) + (-123)\/(-18). Suppose -t*u = -157 - 74. Suppose 0 = -9*b + 10*b - u. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 384 + -371. What is the closest to -1 in -1\/4, y, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1520\/(-22) - 343\/(588588\/(-1872)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6129 + 6*k + 12256 - 6127 - 35*k**2 in the form i*k**2 + f + z*k and give i.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 800801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 104.123 and 29716780.\nAnswer: 29716884.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 114 in descending order.\nAnswer: 114, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 218733036 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-18) - (-943)\/(-90) and 130\/30 - (32\/132 - 1).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/881497?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 3, -1, 1117, 1, -1\/4 in increasing order.\nAnswer: -3\/2, -1, -1\/4, 1, 3, 1117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) 2 (c) -0.4 (d) -3\/4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.415 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 3, g: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Let a(r) = -r**2 + 5. Let p(q) = -q**3 + 75*q**2 + 410*q + 51. Calculate the least common multiple of p(-5) and a(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618*k - 17546 = -242 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 42 = m - 5*m, -5*x = 4*m + 146. Let a = -16 - x. What is the highest common factor of a and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1498460.4 months to centuries.\nAnswer: 1248.717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -4)\/(3\/(-15)). Suppose 4*v + 101 = 5*f, -3*f + 82 = f - 2*v. Suppose 4*w - f = 3*r, -l*w + r - 3 + 21 = 0. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (83\/1 + 0)*7\/(-7). Let x be -10 - -8 - (1 + 251\/d). Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2557, 2558, 2559, 2560?\nAnswer: 2561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 13 = 3*x, x - 21 = 6*a - a. Let z = 70 + a. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20891 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y**2 - 15*y + 10. Let k(z) = -z**2 + 2*z + 6. Let t(b) = -4*k(b) + r(b). What is t(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/72*8)\/(40\/(-12))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.2 - 9. Let i(w) = 4*w**2 - 8*w. Let k be i(0). Which is the nearest to l? (a) k (b) 1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-7) - 615\/287. Let p(h) = -86*h - 25. List the prime factors of p(c).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11156.58 to the nearest one hundred.\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 88.2041 centuries?\nAnswer: 8820.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 2*p + 364 = -p + 374, 0 = 2*g - 7*p + 12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r**(-10)*r*r)\/r*r*r)\/(r*r*r**(3\/4)\/r))**(-2\/25) assuming r is positive.\nAnswer: r**(27\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -653, -975, -1293, -1607, -1917, -2223?\nAnswer: -2525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -3*w**4\/2 - 11*w**3\/3 + 19*w**2\/2 - 6*w + 49. Factor z(m).\nAnswer: -(m + 3)*(2*m - 1)*(3*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - ((sqrt(3) - (sqrt(27) + 0))**2 - sqrt(3))) + sqrt(27) + -2.\nAnswer: -14 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -12 + 6 + 8. Let t(m) = m + 3. Let g(i) = 3*c(i) - 2*t(i). Let d(p) = -9*p. What is d(g(f))?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 14*l**4 + 7*l**2 + 8*l + 33. Let k(o) = 5*o**4 + 2*o**2 + 3*o + 11. Let v(t) = -3*a(t) + 8*k(t). What is the derivative of v(i) wrt i?\nAnswer: -8*i**3 - 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r - 1. Let f(u) = -u + 12. Let g be f(7). Let o = g - 8. What is the units digit of n(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 greater than or equal to -8054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 54*y + 3438 = -127*y. Sort y, 1, -2, -83.\nAnswer: -83, y, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5204922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98\/3 - -33. Let c = -16586 + 16591. What is the nearest to -1\/3 in c, d, 2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/6 and 21\/(-42)*(-624)\/3272.\nAnswer: 2454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141614 is divided by 259.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 - 0 - (-150)\/(-50). Solve 5*a + u*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/12 - 13193*o - 158315\/12.\nAnswer: -(o + 1)*(o + 158315)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.80067 - -15.8. Round u to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m\/m**(3\/14))*m\/m**(-4) assuming m is positive.\nAnswer: m**(59\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.1 greater than 32641834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p + 3*r - 62, 2*r + 72 = 2*p. Is p a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 5*n - 2. Let c(i) = 11 + 0*i + 3*i + 1. Let u be c(-6). What is p(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497782 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23526401 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-12.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4524*l - 4548*l + 120 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1111 or 1109?\nAnswer: 1109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*q = -2 - 22, 3*q + 12 = 0. Let h(v) = 17*v - 1. Is 8 a factor of h(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15557 - 15563. Let c(b) = -4*b**3 + 6*b**2 + 2*b + 4. Let l(q) = 3*q**3 - 6*q**2 - q - 5. Let d(j) = -4*c(j) - 5*l(j). What is the units digit of d(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 7. Let u be g(5). Let x(b) be the third derivative of -b**5\/30 + b**4\/24 + b**3\/6 + 49*b**2 - b. Determine x(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9390.\nAnswer: 2, 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + -9 - -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*f + 20*f - d + 44, 3*f = -d - 40 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5476052 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166767569*x**2*y**2 - 3*x**2*y - 43*x - 3972829*y**2 wrt x?\nAnswer: 333535138*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3849)\/((-21)\/36 + 9\/27). Suppose 15*s - 3*s - h = 0. What are the prime factors of s?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345702508.\nAnswer: 2, 86425627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*a + 3)*(-a + 0*a + 0*a)*(5*a + a + 0*a).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 33 - 183. Calculate the remainder when (-18)\/(-12)*(w + 2) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0138 + 3.98063094\nAnswer: 3.96683094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 6:26 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 896 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -68*i - 748, -5349*i + 5344*i = 3*m + 55 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 556127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 - 842*q + 1687*q - 845*q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p**2 - 4. Let a(l) = 3*l**2 + 1. Let i(v) = v**3 + 7*v**2 + 4*v - 5. Let s be i(-6). Calculate s*a(g) + 2*j(g).\nAnswer: 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from {a: 5, k: 1, b: 3, r: 3, v: 1, d: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.08 from -201593200349.\nAnswer: -201593200349.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1 (c) -5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -9532.7 and -31251.689.\nAnswer: -40784.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 - 49. Calculate the smallest common multiple of 78 and i.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**4 - 1279*p**3 - p**2 + 2*p - 4025 wrt p?\nAnswer: 12*p**2 - 7674*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Suppose q = 4*x - c + 5*c - 60, 0 = -5*c + 5. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(847))**2 + 2)*-5 + (sqrt(378)\/(-1*sqrt(9)))\/(sqrt(6) - (sqrt(6) - -5*sqrt(18)\/sqrt(3))).\nAnswer: -16950 + sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -10. What is the third biggest value in -2, 0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4852 = -3*j + 3485. Suppose w = -63*y + 66*y + 921, 3*w - y - j = 0. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(3\/6) - -2. Let l be (-1)\/(-4 - z - -5). What is the units digit of 19 + 3 + 3 + l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 10. Let v be 13\/(-2) + (-2)\/d. What is the units digit of 114\/27 - v\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s = -30*s + 8. Suppose -2*f - 6 = -s*q - 2, -2 = -q - 2*f. What is the highest common divisor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b = 59*b + 4*b - 3747315. Round b to the nearest one thousand.\nAnswer: 96000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 16, 0*i + 2*i + 3*h - 6 = 0. Let j be 4\/(-15) + i*4\/30. Let f = -15.5 - 1.5. Is j at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 16*u + 60. Let r(y) = 3*y + 10. Let b(f) = 6*r(f) - x(f). Let p(q) = -758*q. What is p(b(l))?\nAnswer: -1516*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-738)\/90)\/(18\/15)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 2*-129189) + 0. Let c = 164378 - j. Round c to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1561 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.9908556 days?\nAnswer: 85609923840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 63*j - 60*j = -16, 0 = 4*d - 2*j - 24 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*d = -7*z, -d + 6 = -5*z. Let t be (-13646250)\/30*(z - (-22)\/6). What is t rounded to the nearest ten thousand?\nAnswer: -1210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 1324?\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d + 2. Suppose 3*w + 0*w + 5*q - 22 = 0, 2*w - 18 = -5*q. What are the prime factors of y(w)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6167422 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 18. Let r(g) = -g**2 + 3*g - 2735. Give -3*i(j) + r(j).\nAnswer: -j**2 - 2681","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = -23*k - 48*k + 162 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3541\/9 + -393. Which is the second biggest value? (a) t (b) 4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(133)*-6)\/sqrt(7) - ((sqrt(209) - 1*sqrt(209)*-2)\/sqrt(11) + -3))*1.\nAnswer: -39*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59.1017 + -59.2417. Let r = -3 - -1\/2. Which is the second smallest value? (a) r (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 31*i - 20. Let q be m(4). What are the prime factors of ((-90)\/4)\/9*q\/(-5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 1. Let y be 6\/(-3)*3\/(-2). Let a(q) = 2*q**2 + 0*q**2 - 2*q**2 + y + 5*q**2. Let w(n) = -a(n) - 3*l(n). Let r(c) = -c**2. Calculate r(w(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101 - 532164?\nAnswer: -532265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 5*a + 7*a**2 - 7*a**2)*((-5 + 3 + 0)*(-1 - 1 + 3) + 2 - 6 + 2 - 2 + 3 + 5).\nAnswer: -4*a**3 + 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(y + y - 3*y) + 2*y + 0*y - y - 2*y + 6*y - 5*y - 2 + 2 + 2*y)*(12*y**2 - 22*y**2 + 75*y**2).\nAnswer: 195*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 143347594\nAnswer: 143347593.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -62.999937. What is z rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 17. Let d be r\/(-2*(-3)\/6). Find i such that 0 + 2 - 3*i**2 - 5 - 3 - d*i = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/3 - 5*d**2\/3 - 8*d\/3 - 4\/3.\nAnswer: -(d + 1)*(d + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 5, 20.\nAnswer: -1, 0, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/84*32\/168?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 42. Let m be y(-20). Suppose 0 = -t + 2*r - 7, r - 1 + 40 = -m*t. Let w = t + 114. List the prime factors of w.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2117792 and -0.03.\nAnswer: -2117792.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 7) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0417 (b) 0.46 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3165 - 0.33. Let v = 0.02 + o. What is v rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -34*o**2 + 5*o - 5. Let u(m) = -m**2 + m - 1. Let j(c) = -c**3 + 13*c**2 - 8*c + 109. Let s be j(13). Determine s*u(h) - g(h).\nAnswer: 29*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1031.5 - -858.42. What is d rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 38 = 5*v - 2, 3*v + 60 = 5*g. What is the remainder when 38 is divided by g + (-3 - -2) + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(360) - sqrt(360))\/(sqrt(8)*-6 + sqrt(2)).\nAnswer: -6*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1162 is divided by 608.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 247846 to the power of 1\/2, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2095 - 2.\nAnswer: -2097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 307*j - 332*j - 187*j + 1 - 1 + 2*j + (2*j + 0 + 0)*(-3 - 1 + 2) to the form u + b*j and give b.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 0. Let x = -8449\/33 - -256. Let k = x - -4\/11. Which is the third biggest value? (a) m (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (17 - (-4 - -43)) - 6 - 86?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-10) + (-462)\/(-1485). What is the third biggest value in 4, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/777579 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -64\/7*o + 60\/7 - 4\/7*o**2 + 8\/7*o**3 = 0.\nAnswer: -3, 1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 6. Suppose -c = 3*c - v*r - 404, -309 = -3*c + r. Let s = 23 + c. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002012121 (base 3) in base 10?\nAnswer: 21292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 45\/7, -0.1, -0.892, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4562805109 to the nearest integer?\nAnswer: 1659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148598 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334875 = -8*b + 24*b + 28*b + 332103 for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -38*g**2. Let y(f) be the first derivative of -5*f**3\/3 - 244. Give d(y(m)).\nAnswer: -950*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 7:38 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 1\/20 (c) 57 (d) 24 (e) 3 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3057 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/26 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 19 = -i - 2*n, -i - n = -9. Suppose -f = -i*f + 3. What is the derivative of p + 1 + f - 1 wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2044 and -69328595.8.\nAnswer: -69328595.5956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + sqrt(297)\/sqrt(729))\/sqrt(11) - ((2 + sqrt(3))*-6 - ((sqrt(3) - (2 + sqrt(108) - sqrt(108))**2) + sqrt(3)))) + -3 + 2.\nAnswer: 7 + 82*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*u**3 + 5*u + u - 4*u to m*u**3 + i*u**2 + y + s*u and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37390152 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (348\/290)\/(2*2\/(-20))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*14\/(-7)*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = 13*q - 331. Find j such that -1\/8*j**q + 1\/8*j**3 + 0 + 1\/4*j**2 + 0*j - 1\/4*j**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 + 19*x**2 - 10. Let q(i) = -7*i**3 + 77*i**2 - 46. Calculate 2*q(k) - 9*z(k).\nAnswer: 4*k**3 - 17*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 814 divided by -3142?\nAnswer: -407\/1571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 476 - 7ab4?\nAnswer: -763c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 499922177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/136 and 46\/2057.\nAnswer: 16456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 12, s: 1}. Give prob of sequence bbsb.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -46, -87, -144, -223, -330?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -3*o**5\/10 - o**4\/3 - 40*o**3\/3 - 11*o**2\/2 - 26*o. Is k(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6d (base 14) in base 11?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/(-3)*1*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -10, -58, 4 in descending order.\nAnswer: 4, 2, -8, -10, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 82*d**2 - 262*d + 40. Give f(-44).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - 2 - 4 - (0 + 4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 645887 and 1562?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -98837*r - 75493?\nAnswer: -98837","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364*n - 61*n + 37*n.\nAnswer: -388*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41281727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*v + 1)*(-2 - 2 + 2) - 2 - 4*v - v + 4*v.\nAnswer: 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**5\/390 - i**4\/78 - 35*i**3\/39 + 137*i**2 + 39. Let x(d) be the second derivative of o(d). Factor x(u).\nAnswer: 2*(u - 7)*(u + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1365604 and 76?\nAnswer: 25946476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1246951, -4987837, -11222647, -19951381, -31174039?\n\"Answer: -1246962*i**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 8*x + 1. Let i be (7\/21)\/(1\/21). Let s(h) = 2*h - 5. What is the remainder when n(3) is divided by s(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 13 - 47. Suppose 0 = -18*t + 25*t - 56. Suppose 0 = -t*p + 3*p + 4*x - 77, -3*x + 11 = -p. Are p and f nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**3 - 13*m**2 - 5*m - 12. Let a(z) = -2*z**3 - 5*z**2 - 2*z - 5. Let b(y) = -17*a(y) + 7*p(y). What is b(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39234 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 157.38 to the nearest integer.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3173954 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -7, -6 in increasing order.\nAnswer: -7, -6, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9 + (-102)\/(-10))*450.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30896377 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-9)*(a**11*a*a*a)\/a*(a*a*a*a*(a**(-5)\/a)\/a)\/a**(-4) assuming a is positive.\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 - 7 - 9 - 3. Let h be i\/((-54)\/(-24)) - (-24)\/4. Solve h*l + 2*l - 25 = -5*b, -2*b = -5*l - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -50*w**3 - 2*w**2 + 44*w + 91. What are the prime factors of z(-5)?\nAnswer: 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233373 is divided by 233368.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3906.\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**3\/3 - 8*c**2 - 3729*c. Give j(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g + 7. Let i be m(-2). Let t(k) = -k**2 + i - 20 + 5*k + k. Calculate t(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105 + 105. Let t(f) be the second derivative of 1\/42*f**4 - 1\/21*f**3 + w + 0*f**2 + f. Factor t(y).\nAnswer: 2*y*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32273156 + 67445208. Let i = q + -16772062. Suppose 4*k = 6*k + 2*n + 9200004, -5*n = -4*k - i. What is k rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {f: 2, s: 6}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.409342 weeks?\nAnswer: 2061970.0416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1099+0\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.65466t in milligrams?\nAnswer: 21654660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16226612 divided by 4.\nAnswer: 4056653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of (-34054)\/(-8) - (-261)\/(-348)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*n + 3356 - 14371 = -78*n + 9625 for n.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/14, -2\/9, -0.4, 1?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - (8 - ((10 - 2) + -35 + 30)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 18922?\nAnswer: -1891c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 - 41754*k.\nAnswer: 2*k*(k - 62631)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646 - 488 + 128*z - 102*z - 158.\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-160)*((-992)\/93)\/(-2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(80)*2 + sqrt(80))*-6)\/sqrt(10)*1)\/(-2*(sqrt(196) + 2*(sqrt(196) + (sqrt(196) - sqrt(196)*-2 - sqrt(196)) - sqrt(196)))))**2.\nAnswer: 162\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128840 and 132640?\nAnswer: 427233440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3774227, -7548451, -11322675?\nAnswer: -15096899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yylylyyyyy. Give prob of picking 4 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*a**3 + 30*a**3 + 2*a**3 + (1 + 2*a - a - 2)*(98 - 98 - 14*a**2) to the form k*a + j*a**3 + w*a**2 + r and give j.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 81619067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3711*(82\/42 + -2). Let y = 177 - x. What is the third smallest value in -3, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 1. Let v = 3 + 1. Suppose i - 2604 = k*q - i, -v*q - 2*i - 2596 = 0. Round q to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 212\/5 - 42. What is the second biggest value in -3\/13, c, -2, -5?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9 (b) -1207.83 (c) 85 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1687 - -1690. Solve 3*f + 2*i - 7 + 2 = 0, -3*f - d*i = -3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5 + 423*w**4 - 1676*w**3.\nAnswer: -w**3*(w - 419)*(w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26329, -26372, -26523, -26842, -27389, -28224?\nAnswer: -29407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09 - 3.91. Let m = g - -3.6. Let y be (-3 - -6) + -3 + -1. Sort y, -5\/3, m in descending order.\nAnswer: m, y, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25053 (base 8) in base 6?\nAnswer: 121551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 968\/59 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 481742\/3 + 205\/(-123) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15 + -7)*(-20)\/(-48). Suppose -14\/3*d**2 + 4\/3*d - z*d**4 + 2\/3*d**5 + 6*d**3 + 0 = 0. What is d?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15880, 34426, 52986, 71566, 90172, 108810, 127486, 146206?\n\"Answer: i**3 + i**2 + 18536*i - 2658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.114590468 rounded to three decimal places?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 317 + -4123\/13. Let y = z - -17\/26. Which is the closest to 1\/5? (a) y (b) -1\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4325943 is divided by 872?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 213980690 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -26. Let k = -20 + t. Suppose 2*s = 7 - 1. Calculate the lowest common multiple of k and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -241, 46, 30, 1 in decreasing order.\nAnswer: 46, 30, 11, 1, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -26270\/31519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 19472.793 to the nearest 10.\nAnswer: 19470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 433033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + sqrt(52))*2)\/(sqrt(4) + (sqrt(4) - (sqrt(40)*-2)\/sqrt(10)) + sqrt(4)) + ((3*(-2*sqrt(91) + sqrt(91)))\/(sqrt(14)\/(2*sqrt(2))))**2 + 1 + 1.\nAnswer: 8*sqrt(13)\/5 + 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3*r - 41*m**2*r + m + 7*r - 1 wrt m?\nAnswer: -6*m*r - 82*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 + -1.43. Let m = 334809.1699956 + -334809. Let c = t - m. What is c rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2313\/1799*70\/6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 18 = 2*i. Let j be i + -1 + 1 + 2. What is the greatest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/63)\/((-1)\/7). Solve x*l - 5*l = -3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Suppose a = -3, i*a - 6 = 3*l + 2*a. Suppose 5*g = 6*g - 3. Solve -5*y = -g*x + 2, 3*x + y + 4 + 0 = l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 196\/10 - 24\/40. Suppose -4 + 1 = -g. Suppose z = g*i - 3*p + 4, -1 = p. Solve i*b = 4*u, -2*u + 5*b - 20 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 241.7 from 0.5.\nAnswer: -241.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299789*y + 299898*y = -2321 - 3129 for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 - 16*p + 5. Let x be y(5). Suppose -2*l + 52 - 6 = x. Let r = l - 18. Solve 0 = -r*s - 12 + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1519 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 2) + 187\/(-11). Is -0.8 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0 - 6. Let h = 1.9 + -2.9. Let k = h + 0. What is the second biggest value in k, -1\/2, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.12 * -710\nAnswer: -2215.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c = -26*c + z + 3, 3*c = -z + 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/31, -54\/11, 3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 + -36. Suppose 0 = -4*d + 55 + s. Let m = -28 + d. Solve m*p = 4*p + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416 divided by 6?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 + 4577407?\nAnswer: 4577253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*p - 3*c, 0*p - 2*c = -p + 4. Factor 1 + i**p + i - 5 + 2.\nAnswer: (i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 719.2348 millilitres to litres.\nAnswer: 0.7192348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019788 to 4 decimal places.\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 195895 + 23089750.\nAnswer: 23285645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**5 + 139*l**4 + 1180*l**3 - 79*l**2 - 3*l - 24.\nAnswer: 60*l**2 + 3336*l + 7080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -58, -114, -182, -256, -330, -398, -454?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1379769166 to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2790 in 1, 2\/25, -2\/7, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 2 = -5*s, 111 = 5*x - 5*s + 121 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -5. Let f(l) = l - 5. Let b be f(m). Put 5, -1, b in decreasing order.\nAnswer: 5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = 7. Calculate the remainder when 25 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2.5, -2\/3, -478, 0.5, -0.3 in increasing order.\nAnswer: -478, -2.5, -2\/3, -0.3, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6248.155 litres to millilitres.\nAnswer: 6248155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 641963 and 626.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + -0.7. Let p = t + 0.3. Let j = 9 + -8. Which is smaller: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -8 - 1\/21*v**3 + 1\/126*v**4 - 3*v**2 + 0*v + 1\/630*v**5. Factor n(t).\nAnswer: 2*(t - 1)*(t + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404215253.\nAnswer: 13, 19, 29, 56431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + (-3 - 0\/(1\/1)). Suppose -2*t - 7 = -r*t. Let d(j) = 48*j - 19. Is d(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1965*t**3 + 1693*t**3 + 679*t**3)*(-2 + t + 0 + 4) to i + v*t**3 + c*t**4 + q*t + r*t**2 and give v.\nAnswer: 8674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 0 (c) -28601\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p + 4*z = 950, 4*p = -4*z + 760. Suppose 2*l - p = -4*s, -3*l - 7*s = -2*s - 283. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -19*w + 24*w. Solve 4*n + 8 + 12 = w, -2*j - n - 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 7*l - 6. Let p(z) = 8*z + 7. Determine 7*h(b) + 6*p(b).\nAnswer: 7*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*u + 56, 3*j = -2*j - 2*u + 140. Calculate the remainder when j is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1050 - 174?\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 277, 64, -1, 13 in descending order.\nAnswer: 277, 64, 13, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one thirds of a decade in months?\nAnswer: 2440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29622 - -29626. Let h = 9 - 10. What is the closest to 1 in h, z, -7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v**2 + 21*v - 2. Let d(r) = r**2 + r. Let b(n) = 2*n + 21. Let z be b(-12). Let p(f) = z*d(f) + t(f). List the prime factors of p(-6).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j + 33 + 17 - 2703*j**2 + 2760*j**2 as b + u*j + v*j**2 and give b.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3294\/90)\/(231\/(-385)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0097564704 rounded to four decimal places?\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3753613 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 718 + 1257. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = -3*j + 4, 28 = 2*r + 2*j. Let m be 60\/r*8\/(-3). Let p(v) = v**3 + 9*v**2 - 12*v - 7. What are the prime factors of p(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.486 - -0.15. Let k = -0.064 + u. Which is the biggest value? (a) k (b) 3 (c) 5\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, 2\/9, -1\/6, -4, 0.3, -6\/13?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - v - 13 = 0, 2*c + 3*v - 9 = -c. Let k be c\/(-18) - ((-285)\/189)\/1. What is the second biggest value in 5, -0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 118453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16078129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*d**5 - 38718*d**4 - 10864200*d**3 + 291182838*d**2 - 478338039*d + 198058152 = 0. What is d?\nAnswer: -599, 8\/11, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + 267. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -9. Is 0 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129120433?\nAnswer: 13, 607, 16363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o = 2*d + 30, 4*d - 12 = 4*o. Let b be 7\/6 + o\/12. What is the nearest to -1\/5 in -4, -2\/7, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-3))\/((-2)\/36). Let c be 0\/(-1) + u\/(-3). Let a(g) = 497501*g + 4. Let k be a(c). What is k rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3800002*i**2 - i - 3. Let q(w) = -7600003*w**2 + 2*w + 5. Let v(k) = 5*n(k) + 3*q(k). Let z be v(-1). Round z to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -339*g + 2*g**4 + 176*g + 2*g**2 + 192*g + g**2 to n*g**3 + q*g + m*g**4 + y + s*g**2 and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552620 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 31149*f - 38235*f + 28611*f as p + u*f and give u.\nAnswer: 21525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ekkaskekkkaa?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -767*z**3 + 655*z - 16. Let y(b) = b**3 - b**2 + 2*b - 16. Let k(p) = -n(p) + y(p). Find the third derivative of k(v) wrt v.\nAnswer: 4608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 63001711 and -8.\nAnswer: -504013688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in seconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*j + 74, 5*b - 15 + 0 = 0. Suppose -3*h + j + 193 = 0. What are the prime factors of h?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197575 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 399353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5753\/436 + 53\/4. Which is the third smallest value? (a) -4 (b) -1\/6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03147181 rounded to 5 dps?\nAnswer: -0.03147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**5 - 1296*m**4 + 13197*m**3 - 27966*m**2 - 52740*m + 132600 = 0. Calculate m.\nAnswer: -442, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 9*v - 4. Let i(g) = g**2 - 8*g + 4. Let f(z) = 5*i(z) + 4*l(z). What is the smallest common multiple of f(3) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*p - 147*p - 144*p = -405*p - 1464 for p.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = -t + 88, -3*t + 2*f + 276 = 0. Let b(k) = -92 - t - 2*k + k + 184. Let o(h) = 125*h**2. Calculate b(o(l)).\nAnswer: -125*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3.3445359 - 859\nAnswer: -855.6554641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -137*y + 11. Calculate the remainder when t(-2) is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 1 + 7. Let i = -4 - -1. Which is bigger: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 11*s**2 - s + 6. Let t(z) = -4*z**2 - 2. Let j(u) = -3*c(u) - 8*t(u). Let i be j(2). Solve n + 2 = -i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/1782 and 56\/1089?\nAnswer: 19602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -51*m - 3. Let p(z) = -2*z. Determine i(p(q)).\nAnswer: 102*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3 + 141*p**2 = 0. What is p?\nAnswer: 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f - 4166 - 30*f + 14*f + 6*f - 112.\nAnswer: -2*f - 4278","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - 3*m**2 - 3*m - 2. Does 8 divide t(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15703 + 30440. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - -49. Factor 30*b - 30*b**3 - 5*b**4 - 19 - 10*b**2 + 44 - a*b**2.\nAnswer: -5*(b - 1)*(b + 1)**2*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 9:45 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 140732203*u**3 - 141802793*u**2?\nAnswer: 844393218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-28)*(-24)\/(-80)*44.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -736*s**2 + 151*s**2 - 1 + 2035*s**2 + 7429*s**2.\nAnswer: 8879*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 113887+-136\nAnswer: 113751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(4 + 5*(1 + sqrt(242) + 3 + sqrt(242) - 6*sqrt(242)*1)))**2.\nAnswer: -99000*sqrt(2) + 876825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 4*c - 4*c + (-3 + 0 + 0)*(-2 + c + 2))*(-2*c**3 + c**3 + 0*c**3).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -80\/9, 94.3, 1 in decreasing order.\nAnswer: 94.3, 1, -80\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 3 = -2*s, 4*s - 4909 = -p - 4912 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 4, -5, -14, -23?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 2*p - 5*j + 11, 4*p - 13 = j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112795?\nAnswer: 5, 17, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 41*f**2 + f - 38. Let u be v(41). Find the second derivative of -19*i**3 + 2*i + u*i**4 + 20*i**3 + 23 - 8*i wrt i.\nAnswer: 36*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 6 + 1)*(s - 10 + 10) in the form n*s + p and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 6 + (3 - 4 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34666, 35028, 35594, 36334, 37218?\n\"Answer: -5*t**3 + 132*t**2 + t + 34538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38 and -26\/3837.\nAnswer: 3837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -1\/4, -19, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*b + 2*b, -2*i - 5*b + 28 = 0. Suppose -x**4 + 1 - 3 + i - x**2 - 3*x**3 + 0*x + 3*x = 0. What is x?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6342*v + 2488*v + 1090*v - 882880 for v.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5 - 16*a**4 - 49*a**3 + 98*a**2 + 320*a - 352 = 0.\nAnswer: -11, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 - -47 - (13 - (-2 + (2 - -3)))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(70)*-5)\/sqrt(10).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-8)*8\/2*3\/(-18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 29656310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8697655, -17395365, -26093075?\n\"Answer: -8697710*x + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25429*y**2 - 33328*y wrt y?\nAnswer: -50858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(sqrt(2448)*-3 + -2)*-4*-3 + 5.\nAnswer: -5184*sqrt(17) - 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134078835 is divided by 20810?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005975723 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c*r**4 + 2*c*r**3 - c*r**2 - 4*c*r - c + 3*r**4 - 19*r**3 + 78*r**2 wrt r.\nAnswer: 24*c*r + 12*c + 72*r - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 507 + -268. Let n = v + 48. Calculate the remainder when n is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a + 64. What is u(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + (3 - 11))*64\/10. Is -44 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25327 and 91977?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*d = -1603*d - 2846 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 4*p**2 - 7*p - 3. What is b(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 2*w**2 - 8*w - 10. What is v(-6)?\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 76860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -47.\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3*2\/(-9))\/(-2). Factor -1\/3*k - p*k**2 + 2\/3.\nAnswer: -(k - 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -220*o**2 + 857*o**2 + 933*o**2 + 859*o**2 as q*o**2 + m + c*o and give q.\nAnswer: 2429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(6\/7))**(-1\/2)\/(((k\/((k\/(k*k*k**(2\/121))*k*k)\/k))\/k)\/k*k**(-3\/7)) assuming k is positive.\nAnswer: k**(119\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292051 is divided by 123?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**5\/20 + 11*n**4\/12 + 8*n**3\/3 - 9*n**2 - 118*n. Let d be j(-9). Solve 0 = -2*s + 3*q - d*q - 3, s = 2*q - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.8, -2, -5\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 425104.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1175\/(-15))\/(-5) - 2\/(-6). Let k be (-200)\/x*(-12)\/10. Let n be ((-6)\/(-10) - 69\/k)*-2. Is 10 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**4\/12 - 2*n**3 + 2*n**2. Let b be g(8). Suppose -1 + 0 = r, -3*a = -b*r - 31. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 10:34 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2311 (base 7) to base 10\nAnswer: -841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 9*g**2 + 3*g - 8. Let u be -2*(5\/(-10) + -4). What is the units digit of j(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -5. Let q(h) = h**3 + 6*h**2 + 7. Give q(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57, 94, 69, -60, -335, -798, -1491, -2456?\n\"Answer: -7*l**3 + 11*l**2 + 53*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304 - p**2 - 2*p - 304.\nAnswer: -p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 5*b**2 + 5*b)*(0 + 5 + 0).\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2. Let p(r) = -r - 51. What is p(w(k))?\nAnswer: 2*k**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 - 4) + 18\/(-6). Solve -2*u - 9 + o = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6191, -0.176, 4 in decreasing order.\nAnswer: 4, -0.176, -6191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k + 9*k + 111. What is the remainder when 71 is divided by k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/16)\/(19978\/5708).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 4\/(-8)*2. Suppose 4*d + 49390 + 28922 = q. Let u = 35422 - d. What is u rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 1. Let p = -0.29 + 5.49. Let o = p - 4.9. Sort -3, o, n.\nAnswer: -3, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -589 + 711. Calculate the remainder when 342 is divided by a.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of (-3211963)\/(-816)*8 + 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 28*c - 13. What is the tens digit of l(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 65. Let k be i\/4 - 4\/16. Let o be (10\/25)\/(1\/k). Which is the smallest value? (a) -2\/7 (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1411 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 8*u**2 + 15*u - 30. What is v(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 269*t + 142834. What is f(-531)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 3*b**2 - 2*b**2)*(1 - 2 - 2)*((3 - 5 + 1)*(-1 + 0 - 1) + 2 - 2 + 3 + 0 - 1 + 3 - 4 + 1 + 4 + (3 + 1 - 3)*(3 - 3 - 2)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.04703 and -5.\nAnswer: 40.23515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6*s + s = 13, 0 = -4*l + 4*s + 20. Find the second derivative of 0*x - 2*x**2 - l*x + 2*x + 5*x wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406027931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(1\/(-1 + 2)). Suppose 3*d + 5*g - 16 + 6 = 0, 2*g = d + 4. Are r and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 23*h**2 + 6*h**2 + 42*h**2.\nAnswer: 71*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 645, 635, 611, 567, 497, 395, 255, 71?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 97022996.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 1, e: 1, n: 3, c: 1}. What is prob of picking 1 h and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 7:55 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2641875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*x + 6 - 3 - 813*x**3 + 851*x**3 - 3.\nAnswer: 38*x**3 - 40*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z - 5. Suppose 3*v - 8 = -v. Let g be r(v). Let n be (-2)\/(-2) - (-42)\/3. Calculate the highest common factor of n and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21420*s**4 - 1612*s**3 + 2*s**2 + 173061308*s wrt s.\nAnswer: 257040*s**2 - 9672*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 927 = 528. Let m = -143 + f. Let i = 202 + -164. What is the highest common divisor of m and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 - 13*o + 6. Let x(w) = -4*w**2 - 14*w + 7. Let n(a) = 3*j(a) - 2*x(a). Let i(k) be the first derivative of n(k). What is i(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 1:41 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.521 take away 0.0298?\nAnswer: -0.5508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 + -15. Let t = -427 + 515. What is the highest common divisor of t and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8*h + 9 - 1 + 4*h**2 - 2. Let u(t) = t + 1. Let x(k) = -c(k) + 8*u(k). Find the first derivative of x(a) wrt a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232074 = -8634*q - 709032 for q.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3954936 and 2136.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1026935 is divided by 342282.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 98829 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 949 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1956*n**3 + 102*n**4 - 633*n + 1956*n**3 + 260*n**4 - 407*n wrt n.\nAnswer: 4344*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 318 - 315. Suppose 0 = -m*g + 13*g - 1570. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 0*j**2 + 3\/4*j - 1\/4*j**3 - 21. Let x(p) = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 3*d = -3, 895*d - 896*d = -v - 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c = 5*c + 3*a - 59, 0 = 4*c - 2*a + 34 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(19) + -1 + 5.\nAnswer: 2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -22. Suppose 0 = -2*n + m*n - 400. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 226 + 89 = 0. What is the smallest common multiple of 15 and y?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10480000 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9501664, 9501660, 9501654, 9501646?\n\"Answer: -h**2 - h + 9501666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23665346 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -10. Suppose o*v - 4*v = 4, -299 = -5*l + v. Suppose -18 = 2*w - l. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/36 and 65\/1376.\nAnswer: 12384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 15*k + 7*k. Solve k*h - 34 = -14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*o - 75 = 0, 5*m - 72 = -3*o + o. What is the smallest common multiple of m and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173024 is divided by 15728?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -23610.92571 less than 2?\nAnswer: 23612.92571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006012 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2948*o - 2953*o + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h\/h**(-3\/2))\/h*h)*h**2*h)**(3\/2) assuming h is positive.\nAnswer: h**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, p: 2, g: 1, d: 1}. Give prob of sequence dgp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 + -134. Calculate the remainder when 26 is divided by (-345)\/(-39) + (-2)\/k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 2. Let t = -2 - l. Let u be (1 - -1 - 2)\/t. Solve u*d + 9 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.51 + 12.3. Put s, 0, 1, 2\/5 in ascending order.\nAnswer: s, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -16*v**2 + 16. Let l(s) = 3*s**2 - 3. Let j(u) = 2*u. Let g be j(1). Suppose -2*h - 11 = -3*h. Give g*n(w) + h*l(w).\nAnswer: w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (56\/21)\/(4\/6) + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from {u: 2, y: 1, m: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57217 or -49?\nAnswer: -57217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -231*n**4 - 5*n + 421*n**4 - 216*n**4 - 1 + 6*n to the form a*n**3 + r + j*n + g*n**2 + k*n**4 and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w - 2*w)*(3*w - w + w) + 474*w**2 - 556*w**2 + 254*w**2.\nAnswer: 169*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1349*h**3*s**2 - 13*h**3*s + h**3 wrt s?\nAnswer: 2698*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*o + 2*o - 5*j, 0 = -4*j - 20. Let a = -5000 - -5137. Calculate the remainder when a is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a30a (base 12) to base 13\nAnswer: 20c35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 829 + -772. What is the remainder when 625 is divided by b?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 18*s - 25. Let x be u(-19). Sort 2\/13, 0.3, 0.1, x.\nAnswer: x, 0.1, 2\/13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 9 = -5*k + 27, 2*k - 8 = 0. Solve 4*j + 0*j - 4 = -y*r, 3*r - 3 = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.34 minus -6.8173529946?\nAnswer: 20.1573529946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61\/2*b**2 - 1800 - 1\/4*b**3 - 960*b = 0 for b.\nAnswer: -60, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9425 - 4591. Suppose 5*b - d = 4*w, -w - 1911 = -2*b + 25. What are the prime factors of b?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 7146*a**2 + 28557*a + 27. Calculate s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 - 29*s + 40. Let o be u(8). Let m be (o + -6 + 5)\/(-1 + -290). Is -1 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t - 75. Let v be o(-11). Suppose v*y - 2 = -3*y + p, 0 = -4*y + 4*p - 8. Solve -2*w = 4*b, -3*b - 5*w - 6 = y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153)\/(-1479)*29*(2\/4)\/((-104)\/(-16))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-645)\/114*2 - 2002\/(-182)\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 440 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_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: Collect the terms in 50*i**2 - 25*i**2 + 7 - 23*i**2.\nAnswer: 2*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3 - 5805332*o**2 - 29026738*o + 81274788 = 0.\nAnswer: -7, 2, 2902671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(11) + -1)*-4 - sqrt(44)*2)*-6.\nAnswer: -72 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169513?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -72\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 904*k + 3264*k + 1 - 1 as y + l*k and give l.\nAnswer: 4168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**3 - s**2 - 3*s + 3. Let c be b(2). Suppose -3*q + 197 + c = 0. List the prime factors of q.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57\/(-12) - -3*35\/21\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-25))\/i**(-32)*i**(10\/7)\/(i\/(i\/(i**(-2\/7)*i))) assuming i is positive.\nAnswer: i**(411\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 84*t + 66. What is the thousands digit of n(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43420 divided by -3340?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q**2. Let y(k) be the first derivative of k**3\/2 + 3*k - 9. Let x(f) be the first derivative of y(f). What is n(x(a))?\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-5*(-2)\/(-10)*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -5*w**8\/56 + 2*w**4\/3 - 5*w. Find the third derivative of h(r) wrt r.\nAnswer: -600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 3*g**2 + g + 8. Let a be s(-4). Suppose -2*m - a = -320. What is the greatest common divisor of 34 and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*s - 130 + 130)*(2 + 7 + 2)*(4 + 0 - 1) - 3*s - 4*s + 5*s to the form v + b*s and give b.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*x - 4. Calculate the least common multiple of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, f: 3, p: 5, h: 1, e: 6}. Give prob of sequence ehbb.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1162.\nAnswer: 2\/581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4\/9, -3\/130, -10\/11 in descending order.\nAnswer: 4\/9, -3\/130, -10\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9888 = -11239*b + 11445*b for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 0*i - 1\/8*i**4 + 1\/84*i**8 + 0*i**3 + 0 + 0*i**7 + 4*i**2 + 0*i**5 + 0*i**6. What is the second derivative of u(l) wrt l?\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + 8. Suppose -2*d = f - 22, 2*f + 3*d = n + 6. Calculate the remainder when 47 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -516 (c) 0.5 (d) 0.3 (e) -3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 9*l + 14. Let t be s(-8). Let m be (-456)\/133 + t\/14. Let g(c) = -c**2 + 2*c + 3. Calculate g(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-40))\/(11 + (-387)\/36). Let j(n) = -n**2 + 3*n + 2. Let x be j(3). Which is the closest to 1\/4? (a) -0.2 (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158 a factor of 5575770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-1)*g))**(-12\/5))**19)**31 assuming g is positive.\nAnswer: g**(-7068\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o + 4. Suppose -o*n + 57 = 2*q + q, -58 = -2*n - 4*q. Suppose 3*d - 6*d + n = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 4*m**2 + 5. Let b be x(-4). Let y be b*(2 + (-1 - -1)). Suppose y = s - 2. What is the least common multiple of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1527*l**2. Let x(d) = 5*d**2 - 15. Give x(w(t)).\nAnswer: 11658645*t**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 5:08 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*i - 171*i = 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 250377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 50 times -113019\nAnswer: -5650950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 612075?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2940, -2939, -2936, -2931, -2924, -2915, -2904?\n\"Answer: j**2 - 2*j - 2939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -481.29*0.3.\nAnswer: -144.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -11*z**3 - 2*z**2 + 2. Let f(m) be the third derivative of 6*m**6\/5 + 9*m**5\/20 - 9*m**3\/2 - 5*m**2 + 2. Give -2*f(s) - 27*p(s).\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85174 = 25*r - 4*r - 88979. List the prime factors of r.\nAnswer: 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3*t**3 - 3827535*g**3 - 123*g*t**3 - 3*g*t**2 - 6583*t**3 - 2 wrt t?\nAnswer: -6*g**3 - 738*g - 39498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -12. Let s(i) = 2*i**2 + 2*i - 2. What is the units digit of s(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87859452*k**3 - 28*k**2 + 11926*k + 103 wrt k.\nAnswer: 527156712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -2 in ascending order.\nAnswer: -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5417 + 75*o**2 - 36*o**2 - 5417 - 35*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 219\/71 < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 37*b + 0*b**3 - b**2 + 0 + 7\/30*b**5 + 0*b**4. Let m(f) = -f**2 + 3*f**2 + 7*f - 7*f. What is m(r(h))?\nAnswer: 392*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 15. Let k(v) = -1317*v**3 - 13*v**2 + 4*v + 15. Let y be k(s). Let z = 1484325 + y. Round z to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 45*p**2 + 2. Determine f(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkck when four letters picked without replacement from {c: 1, d: 2, l: 1, k: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (170\/8)\/(1030\/(-824)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 674090340 by -571263.\nAnswer: -1180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 2*y. Let h(n) be the first derivative of -n**6\/360 + n**5\/40 - 2*n**3\/3 - 3. Let s(i) be the third derivative of h(i). Give 3*f(v) - 2*s(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 3*b**2 - 5*b. Let a(j) = -2*j**3 - 4*j**2 - 6*j + 1. Let h be (-32)\/4*(-2)\/20*-5. Give h*m(i) + 3*a(i).\nAnswer: 2*i**3 + 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/122709202 and -97\/55776910.\nAnswer: 613546010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3522 * 0.0816\nAnswer: -0.02873952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 5, -6*t + 5*r + 5 = -t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2200\/(-1540)*(-4)\/(-10). Let i = -38 + 34. Which is the third biggest value? (a) i (b) x (c) 2\/9 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 11*g + 36. Let t(k) = k**2 - k - 1. Let b(c) = l(c) + 3*t(c). Suppose b(s) = 0. Calculate s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.614 times -70?\nAnswer: -42.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + -10214?\nAnswer: -10134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -586766 or -586760?\nAnswer: -586760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590 = -8*t + 3*t + 5*k, -t + 4*k - 121 = 0. Let u = t + 122. Suppose -i - 24 = -u*i. Let q(p) = p**2 - 5*p - 7. What is q(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34371488 and 652650.\nAnswer: -33718838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8394 + 244940.9\nAnswer: 253334.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 5851130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/3)*s*s**15)\/(s*(((s*s*s**5*s*s)\/s)\/s)\/s)**(4\/17) assuming s is positive.\nAnswer: s**(647\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/2 + 36*k**2 - 1063*k\/2 + 1785 = 0. What is k?\nAnswer: -85, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + f. Suppose f = -4*c - c + 5. Suppose -6 + c = -x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10155 + -10153. Solve b = -r, -12 + 18 = -4*u - 3*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/135 and -187\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**2 - 530*i + 12240 = 0. What is i?\nAnswer: 34, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*g**2 - 91*g**2 + 400 - 400 to t*g + i*g**2 + z and give i.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 6:28 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10775 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: (-16)\/(-7) - ((-64)\/(-28) - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 1. Let w = 28 - 25. Let j(q) = 2 + 0*q**3 + 37*q - 2*q**w - 35*q - 6. Let v(h) = -j(h) + 4*o(h). What is the second derivative of v(z) wrt z?\nAnswer: 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 22346?\nAnswer: 22345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183315558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3367122 rounded to two decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4449365, 17797457, 40044275, 71189819, 111234089, 160177085, 218018807?\n\"Answer: 4449363*h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*w + 633 - 316 - 321.\nAnswer: 16*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30668 divided by 4.\nAnswer: 7667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*r + 5302 = m + 216*r, 0 = -m - 2*r + 5320. List the prime factors of m.\nAnswer: 2, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/6, -50 in decreasing order.\nAnswer: 3, -1\/6, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**18*z**25*(z*z**(2\/15)\/z)\/(z*z**1) assuming z is positive.\nAnswer: z**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 9*h + 3. Let z be t(9). Let g(i) = i**2 + 3. Let w(k) = 2*k**2 + 2. Let n(q) = z*w(q) - 2*g(q). Let l(x) = -6*x**2. Determine n(l(y)).\nAnswer: 144*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 198.01768 + -0.01768. What is the biggest value in -0.4, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-39 + 69 - 76)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*a = -2*d - 39*a + 17, 4*a = -3*d - 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*(3 - 9\/15). Let n = -9 + u. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3 - 2*l - 4 - 1. Let f be o(-6). What is the third derivative of -8*x + 8*x - 2*x**f + x**2 + 0*x**4 wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/70 and 83\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67621 and 16283.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (-700)\/(-42) + (-10)\/((-1680)\/1862)\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308 and 15862.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 0*r - 15 - 7 + r + 5. Let a be q(12). Does 4 divide 2*-8*(-2 - a\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -78, -62, -20, 60, 190, 382, 648?\n\"Answer: 2*h**3 + h**2 - h - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 511311 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/11)*(t\/(t\/(t\/(t\/((t\/t**(-23\/5))\/t))))*t)\/t)\/(t**(-46)\/t*t\/(((t*t*t**(-41))\/t)\/t)))**(-3\/10) assuming t is positive.\nAnswer: t**(-1539\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11298.7417 rounded to the nearest 100?\nAnswer: -11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98119 or 4?\nAnswer: -98119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-40))\/(-1)*88\/66?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.5, 22, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + r. Let o(h) = h**3 + 5*h**2 + 7*h - 1. Let i = -24 + 28. Suppose n = -i*n - 5. Calculate n*o(b) + 5*g(b).\nAnswer: -b**3 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -131, -438, -1047, -2060, -3579?\nAnswer: -5706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 4 - -4 - -1) + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5\/2)*l)**(-2\/29)\/(l*l**(-1\/8)\/l)**(2\/21) assuming l is positive.\nAnswer: l**(281\/2436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**3\/7 + 3497*t**2\/7 + 10484*t\/7 + 6988\/7 = 0.\nAnswer: -3494, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3332*b**3 + 2840*b wrt b?\nAnswer: -19992*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*x + 468 = -24*x - 31*x - 168*s, 3*s = -2*x + 171 for x.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 0*t - 7*t - 15*t. Let a(q) = -4*q**2. Give a(b(l)).\nAnswer: -1936*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 7:17 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -p - 3*p. Suppose 0*j = 4*j + 16, -b - 3*j = -98. Suppose 4*g = -g + b. Calculate the remainder when p is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4 + 2*n - 2*n**2 - 9*n + 0*n + 3*n**2 + 1. Let x(j) = -j**2 + 14*j + 5. Give 5*q(k) + 3*x(k).\nAnswer: 2*k**2 + 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*o + 259. Let u = o + 39. Find the second derivative of -9*n + 4*n - 7*n - 13*n**u wrt n.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 5*u + u)*(-3 + 4 - 7)*(-5*u - u**2 - 42 + 42).\nAnswer: -12*u**3 - 60*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*i - 12 = -0*i, -r + 4*i + 19 = 0. Let k be 39\/27 - 3\/r. Factor 2*t**5 + 8\/9*t - k*t**2 - 20\/3*t**4 + 74\/9*t**3 + 0.\nAnswer: 2*t*(t - 1)**2*(3*t - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 26*p + 181. Let y(f) = 4*f**2 + 80*f + 549. Let t(n) = 7*u(n) - 2*y(n). Calculate t(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4*i + 9 - 13 = 0, 0 = 3*i + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 694 = 11*d. Is d - 3\/(4\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -305 - -331. What is the highest common factor of 1547 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1284622, -0.3, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23912, 47988, 72064?\nAnswer: 96140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 + 792700*f + 20610369\/2.\nAnswer: -(f - 1585413)*(f + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lluulluluuuuulluulul. What is prob of sequence ull?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**6\/120 + x**5\/6 - 2*x**4\/3 - x**3\/6 - x**2 + 112*x. Determine y(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 157, 2, 691, 0 in ascending order.\nAnswer: 0, 2, 39, 157, 691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (-1)\/((-10560044)\/2640012 + 4). What is o rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49821?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -3*g**5\/20 - 5*g**4\/3 + 17*g**3\/6 + 7*g**2\/2 + 23*g + 2. What is the tens digit of a(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j + 11*j - 123*j**3 + 5*j.\nAnswer: -123*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((3\/12)\/(5*(-2)\/(-520)))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6511558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*m**2\/11 + 328*m\/11 + 2496\/11.\nAnswer: -2*(m - 24)*(9*m + 52)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4950525.\nAnswer: 3, 5, 149, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 11:39 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/27 - 3\/((-12)\/(-8)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.07 + -0.07. Let q be (-34)\/17*(-4)\/(-48)*-2. Which is smaller: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 11. Let l(c) = c**2 + 7 + 3 - 1 - 6*c - 3. Let w be l(s). Is 2\/3 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (101\/4848*-270)\/((-10)\/(-8)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/15972579 and 32\/15972579.\nAnswer: 15972579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -194843 or -194842?\nAnswer: -194843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 7:19 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -1\/36*s**4 + 0*s + 2\/27*s**3 + 2*s**2 + 2 - 1\/135*s**5. Let q(f) be the second derivative of c(f). Factor q(a).\nAnswer: -2*(a + 2)*(2*a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31634 (base 14) to base 10.\nAnswer: -119214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -21*f**2. Let s(b) = 20*b**2. Determine -7*d(c) - 6*s(c).\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2977509494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 72*z + 21 to i*z + t and give i.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4 - 29. Suppose o*n = -3*k + 29, -3*n + 3*k = -0*k - 3. Suppose 4*r + p = 24, 5*p - 30 = -n*r + 2*r. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from wfii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 104*c**3 + 0*c + 86*c**3.\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008869036581 rounded to five decimal places?\nAnswer: -0.00887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21696, -22253, -23180, -24477?\n\"Answer: -185*y**2 - 2*y - 21509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244799787.\nAnswer: 3, 23, 3547823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33642 is divided by 841.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 + 55. Let x be (6*(-4)\/l)\/(4 - 6). Let q(z) = 5*z + 2. Let o(j) = -6*j - 2. Let a(c) = 2*o(c) + 3*q(c). Calculate a(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + z**2 + z + 6. Let r be k(0). Let l(x) = 3 - 2*x - 4 + r. Let w be 2*14\/4 - 3. Determine l(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*w + 0*w + 4*w)*(-1 + 5*w + 1) - 1949 + 106*w**2 + 1949 to g + i*w + o*w**2 and give o.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1004 and 0.2.\nAnswer: -1003.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -74539, -77617, -80695?\n\"Answer: -3078*r - 71461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18018 (base 11) to base 3\nAnswer: 1021201100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -39.24. Let m = -0.44 + k. Suppose 2*h + 31 = 5*z, h - 7 = -0*h - 2*z. What is the second smallest value in h, m, 2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-7) - (1 + -4). Let w(s) = 2*s**3 + 4*s**2 + 5*s + 6. Let c(h) = -2*h**3 - 5*h**2 - 6*h - 7. What is d*w(y) + 4*c(y)?\nAnswer: 2*y**3 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2382, -5110, -8548, -13050, -18970, -26662, -36480, -48778?\nAnswer: -63910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3490.618452 to 1 dp.\nAnswer: 3490.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 1852, -2\/9, -1.45 in increasing order.\nAnswer: -1.45, -2\/9, 3\/5, 1852","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -13510?\nAnswer: 13510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5564789?\nAnswer: 631, 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 - 234 + 155 + 38 + 6735*s + 41)*(2*s**2 - 4*s + 4*s).\nAnswer: -4*s**5 + 13470*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4 = -2*i. Is -26*(10\/(-4) - i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1020*x**4 - 50470*x**3 - 224132*x - 2*x**5 + 75076 - 2*x**5 - 82079*x**2 + 304023*x**2 - 64*x**4 - 21330*x**3.\nAnswer: -4*(x - 1)**3*(x + 137)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*a - 316 - 317, 5*x = 5*a + 1095. Calculate the remainder when x is divided by 47 - (1 + -2 + 3)*(-104)\/(-208).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) 13 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*l**2 + l**2 + 0 + 0 + (2*l - 5*l + 2*l)*(3*l - 4*l - l) + l**2 + l - l + (-3 + 3 - 2*l)*(l - l - l).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 a when three letters picked without replacement from naqzan?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 - 0.06. Let m = 2.9 + -2.65. Let p = m + -4.25. What is the third smallest value in t, p, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -8, 283, 48, -4 in descending order.\nAnswer: 283, 48, 7, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5973804 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-14)*-1)\/(-6). Let y = 1.02 - 0.82. Which is the smallest value? (a) -1 (b) v (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3 - 177. Suppose 5*i + 5*g - s = 0, -36 = -4*i - 0*i - 5*g. Suppose 0 = z + p - i, 1 = -5*z + p + 22. Round z to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -10.56 (b) 1\/6 (c) 3 (d) -4 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304376 = 4*t + 2*c - 304390, 0 = 2*t + 5*c + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2327 is divided by 2301.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 80 = 128. Let a be z\/(-15) + -2 - 10\/25. What is the nearest to 0 in -5, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -4, -52, 0.09, 5, 0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.1 - -10. What is the closest to p in 1\/4, 8, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + 4 + 5 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 4*f - f. Suppose 2*k - 4*s = k + 14, -3*k + 5*s = -f. Let w = -2145 + 2147. Solve 5*m - w = k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 8*o - 5*o - 12 = 0, 4*a + 3*o - 19 = 0. Suppose -16*k + 171 = -a*k. What is the remainder when k is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7599758 or -7599893?\nAnswer: -7599893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (6 - 4) - (-293 + 286)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80925 is divided by 15963.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 6*w**2 + 3*w - 8. Let r be o(5). Let q be (-2)\/(-9) - ((-58)\/r - 1). Let c(j) = -j**3 - j**2 - 3*j - 3. Calculate c(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 665000 - 198970. Suppose 211970 + q = -2*l. What is l rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 57*j - 12. Let g(q) = 59*q - 10. Let z(c) = 6*g(c) - 5*l(c). Let k(d) = 4*d. Calculate k(z(p)).\nAnswer: 276*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 132*g = -3*y - 130*g + 29, -4*g - 7 = 7*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 4*q + 3. Let k be a(4). Let y(d) = 7*d**3 + 8. Let x(n) = n**3 + 1. Calculate k*y(w) - 24*x(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 1\/2 (c) 27196 (d) -3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 129*r**2 + 246*r.\nAnswer: 3*r*(r + 2)*(r + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fapvtttxpppttxvap. What is prob of sequence af?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 234040 (base 8) in base 15?\nAnswer: 18a1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 - 265 = 19*j. Solve j = -68*p + 182 + 90 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 41*q**2 + 13*q - 289. List the prime factors of y(-29).\nAnswer: 5, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 173217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35993608 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 7\/24*r**4 + 0*r - 1\/60*r**5 + 0 - 2*r**2 + 7\/6*r**3. Calculate g(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4 - 20 + s - 3*s. Let x(w) = -w - 72. Let h be x(-60). Let d be g(h). Solve d - 6 = -2*y - 4*q, 0 = -2*y - 5*q + 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**3 - 4*d + 4. Let g(p) = -36*p**3 + 21*p - 21. Let f(q) = -21*c(q) - 4*g(q). Calculate f(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 8*v**2 + 8*v + 1. Let d be r(-7). Let j(a) = -2*a - 5. What are the prime factors of j(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 - 18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 210, 405, 622?\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = -2*i - 19, -79 = -5*y + 2*i. Solve -3*b + y - 27 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60.019 + -0.181. Let z = 60 + k. What is the closest to z in 0, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v - 3*f = -8, v - 4*f = 21. Let x be (-4)\/(-20) - 3\/v. Let a = 9 + -9.3. What is the closest to 0.2 in -6\/5, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8*w + 5. Suppose -5*z - 4*m = 20, -3*z + 5*z = m + 5. Let h be d(z). Sort 16, -5, h, 0.\nAnswer: -5, 0, h, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29600120?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*a + 61*a = 1992 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1053) - (sqrt(1053)*1 + -1)**2).\nAnswer: -4216 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxqxnqbbqbqqqxw. Give prob of picking 1 w and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**4\/4 + 2*u**3\/3 + 3*u - 53. Give z(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81611662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)*y**(-5)\/y)**43\/(y**(-4\/7)*y**(-6)\/y*(y**(1\/3))**(-4\/17)) assuming y is positive.\nAnswer: y**(-150779\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = j - 19 + 16, 3*t + 2*j = 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 9*m**4 - 8)*(-1 + 4 + 0).\nAnswer: -27*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d**2 + 12*d + 30. Let y(h) = h**2 - 2. Let g(a) = -u(a) + 12*y(a). Factor g(p).\nAnswer: 2*(p - 9)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6938161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*q = 3566, -11 + 1 = 2*q. Suppose 2*p = 3*s - 17, 0 = -2*p - 2*s - 2*s + 4. List the prime factors of 20\/30*o\/p*1.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1 - ((-137 - -116) + 16 + 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000111101010010100100 - 11100?\nAnswer: 10000111101010010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 13) in base 12?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27 - -43)*(0 - -1)*-1. Put 2, a, 4 in ascending order.\nAnswer: a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 k, and 1 g when three letters picked without replacement from {w: 1, k: 3, d: 5, g: 7, i: 2}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + -0.6. Let n be ((-4)\/16)\/((-6)\/(-16)). Which is the third smallest value? (a) n (b) 5\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.66 take away 0.5?\nAnswer: 49.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.7 and 14?\nAnswer: 163.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/8)\/(6\/(-16)). Let t(f) = -f**3 + 4*f**2 + f - 2. Let p be t(4). Solve p*b = -10, -5*v - 2*b - 31 = d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 208 = -210. Find the third derivative of -8*m**2 - 60*m**2 + 192*m**4 - 124*m**y + 2*m**4 wrt m.\nAnswer: 4656*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 93551.29 decades?\nAnswer: 935.5129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 153\/6 + 4 + 45\/(-10). Solve 5*c + 8*x - 3*x = l, -4*x - 4 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 20 - 4 = -5*c, 0 = 3*l + 5*c + 4. Solve 0 = 6*f - l*f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -158*g - 813*g - 1919*g - 460*g + 173*g as w*g + m and give w.\nAnswer: -3177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(187) - (sqrt(187) + sqrt(187) + (sqrt(187) - 1*sqrt(187)) - sqrt(187)))\/sqrt(11)*-2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z - 3. Let i(o) be the second derivative of -o**3\/6 - o**2\/2 + 212*o. Give 5*i(w) - k(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215 + 83 + 43 - 7*g - 344.\nAnswer: -7*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 842*l**2\/5 - 224*l\/5 = 0?\nAnswer: 0, 112\/421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31609384*a*y**5 - 12*a*y**4 + 18*a - 174423*y wrt y?\nAnswer: -632187680*a*y**3 - 144*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v + 5*v**3 - 4*v + (0 + 0 + 2*v**2)*(2 + 2 + 2*v - 2).\nAnswer: 9*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171672 is divided by 171660?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100 - -104)*((-309)\/(-102) + -3).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18844 - 7b?\nAnswer: 18796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 4:06 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 195*k. Let z(s) = s**2. Calculate j(z(m)).\nAnswer: 195*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w - 6. Let o be d(-6). Suppose -4*r + o = -8. Suppose -3*x + 4*l + 19 = 0, -3*x + 0*l = 5*l + 17. Put x, -4, r in descending order.\nAnswer: r, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.14, -0.2, -0.1?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -4*l - 37, -160*t + l = -161*t - 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t**2 + 2 - 2)*(t + t - 3*t + (-4 + 0 + 3)*(2 + t - 2)) to o*t**3 + h*t**2 + k*t + j and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 691 = -5*v + 2306. What is v rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -659656\/11 or -59970?\nAnswer: -659656\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5*f = 5, 2*l + 3*f = 962 - 969 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 441894734 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + 40. Let g = 0 + q. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 240 + -160. What is the highest common factor of 40 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 23, -8, -7, 2 in increasing order.\nAnswer: -8, -7, -1, 1, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -246 + 246 + 23*x in the form g*x + m and give g.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.22 - -1.22. What is the second biggest value in -0.4, 1\/2, 31, n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdddbpdtddbdbdtdtdz. Give prob of picking 4 d.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*u + 2313, -2289 = -z + 19*u - 20*u. Is 23 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -14*l**3 + 3*l**2 + 4*l + 9. Let t(u) = -7*u**3 + 2*u**2 + 2*u + 4. Let q(f) = -2*n(f) + 5*t(f). Is q(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/8 (b) 0.18 (c) -0.1 (d) -2\/9 (e) -3394\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(110))\/sqrt(10) + 1 + (sqrt(11)*-1 + 0)**2.\nAnswer: sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/10 and 67\/6940?\nAnswer: 6940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 554 + 196. Suppose 0*h = -5*h + r. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 1:45 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, -2\/13, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s + 483 - 153 - 167 - 163.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5) + (15 - 0) - (10 - (-69 - 4)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*y + 9523 = 51*y. Solve -94*q + 25 = -y*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -17.2 (b) -1 (c) -1482\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 2. Suppose -4*m = -d*m. What is the second biggest value in 5\/4, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 6) in base 7?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*9\/162*60?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 divided by -272?\nAnswer: -49\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4 = h, -23*m = -3*h - 22*m - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0455 + 2.9645. Round k to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.029 - -0.029. Let b = 1003 + -1003.1. What is the nearest to b in 3\/11, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.4 - -13.1. Let s = -3.5 + b. Let r be (2\/4)\/(((-51)\/18)\/17). What is the nearest to 0.1 in s, r, -11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**6\/120 + d**5\/15 - d**4\/24 - 2*d**3\/3 - 235*d**2. Let k(w) = -w**3 - 3*w**2 + 2*w + 3. Determine 4*k(f) + 3*u(f).\nAnswer: -f**3 + 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + p + 2*p**3)*(-1 - 3 + 5) - 13*p**3 + 54*p**3 - 31*p**3 + p**3 - p + p in the form m*p**3 + a + r*p + i*p**2 and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 1\/4, -2\/3, 11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 6:59 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.340001 millennia to decades.\nAnswer: 234.0001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 416\/3*12\/8. Let z be 124\/g + (-3)\/4. Let r = 62 + -58. Which is the smallest value? (a) -0.1 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11)*r)**(1\/53)*(r**(-4)*r)**19 assuming r is positive.\nAnswer: r**(-33222\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 9. Let w be (-10)\/(-7)*(6\/1 - -1). Suppose o*a - 2*a + w = 0. Put -2, 0, a in descending order.\nAnswer: 0, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2)**2*5.\nAnswer: 1520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3))**(-2\/19) assuming k is positive.\nAnswer: k**(6\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8) + (-2)\/2. Let u = -88\/3 - -29. What is the smallest value in u, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from sxxjssjrjyjsssz.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*j + 7 + 1, -j = -4*m - 16. Let s be 0\/((-4)\/2) - -2. Let u be s + 2\/4 - 3. Which is the closest to u? (a) 0.1 (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 5718\/54961 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-12) + (-5)\/(-3). Suppose 2*k = p + y, -2*k + 3*p = -0*k - 3. Suppose -40*f + 38*f + 102 = k. What is the remainder when f is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 0 - (2 + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s**(-2\/5)*s)\/s*s)**(-13\/5)\/(s**(-1\/3))**34*(s**(-1)\/s)**(-10)*(s*s**(-1))**(-2\/71) assuming s is positive.\nAnswer: s**(1843\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)*u*u)**22*(u**(-7)\/u)\/(u*u*(u*u\/((u*u*u*u\/u**(-6))\/u)*u*u)\/u)*((u\/(u**(1\/3)\/u))**(-45))**(8\/7) assuming u is positive.\nAnswer: u**(-1292\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 92*d**2 - 21*d - 3. Let w(j) = -4*j. Calculate w(i(k)).\nAnswer: -368*k**2 + 84*k + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58*l + 1006 - 1006)*(2*l**3 - 5*l**3 - l**3) to the form n*l + q*l**2 + f + c*l**4 + x*l**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*t + 253 = 79 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -5*a + 76, -19*a + 10124*m - 10126*m + 82 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006346768 rounded to five dps?\nAnswer: -0.00635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a. Let s(v) be the first derivative of 4*v**2 - 5*v - 4. Let f(z) = 4*z - 3. Let y(k) = -5*f(k) + 3*s(k). Give c(y(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116841.\nAnswer: 3, 17, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -226 - -208. Which is smaller: c or -17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 21*n - 330. Give g(-10).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 + 7 = 0. Suppose 5*h - 41 = f. Calculate the remainder when 19 is divided by -4*((-33)\/h - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104637911.\nAnswer: 7, 14948273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 5*s**2 - 5*s + 3. Let u be b(-6). Suppose 793 = 5*x + 4*m, -x + 408 = 3*m + 256. What is the greatest common divisor of u and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 4*v**2 + 7\/3*v**3 + 0*v + 1\/24*v**4 + 0. Calculate the remainder when j(-10) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 394404 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(-2*y + 3*y + 2*y + 1 + (0 + 1 - 3)*(0 + 2*y + 0)).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1855 = 4*g, -4*g + 30 + 1083 = 3*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + r = -7*k - 6, -2*k + r = 0. Put k, 15, 3, 5 in increasing order.\nAnswer: k, 3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3187.\nAnswer: 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.5 and 0.15.\nAnswer: -2.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**3 + 223*y**2 + 177*y - 6577. What is g(56)?\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 247474697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42, 56, 70?\n\"Answer: 14*c + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let a(j) = 9*j**2 + 4*j - 4. Let s = -17 + 21. Let b(v) = -36*v**2 - 15*v + 15. Let q(d) = s*b(d) + 15*a(d). Give n(q(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45 + 1331?\nAnswer: 12a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -12*y - 51. Let x be r(-4). Let w be (0 - 0) + 0 + 5. Suppose -3*n - 20 = 4*v, -n + 6*n = w*v + 25. Put v, x, 1 in descending order.\nAnswer: 1, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 20 = -j. Suppose 4*z - 4 = -2*a, -27 = -j*z + 5*a - 9. What is the remainder when 3 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -25. Calculate the remainder when 1\/q + 1690\/15 is divided by (-1 + 0\/(-2))*(1 + -30).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 224610062 + 0?\nAnswer: 224610062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -6, 17, 48?\n\"Answer: 4*c**2 + 3*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.5, -50, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.026 times 4\nAnswer: 0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71373 or 71374?\nAnswer: 71374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 16 - 9)*(-2*g + 4*g - 3*g + (g + g - 3*g)*(0 - 2 + 4) - 3*g - 2*g + 4*g - 2*g + g + 0*g - 2*g - 4*g + 5*g + g - 5*g + g) as t*g + l and give t.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -311, -629, -947, -1265, -1583, -1901?\n\"Answer: -318*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 - -11?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*f = 267*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1153*y - 1154*y - 15 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110411?\nAnswer: 3, 123379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 348180579?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3778*j**2 + 36*j + 4. Let u(y) = -11335*y**2 - 99*y - 11. What is 4*u(t) + 11*z(t)?\nAnswer: -3782*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (114\/228)\/((-3)\/(-2) + 0). Let -1\/3*q**2 + z*q**3 + 1\/6*q**4 - 1\/6*q**5 - 1\/6*q + 1\/6 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/3 and 145\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llv when three letters picked without replacement from kvrlkkvrvlkulv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**5 - 284*r**4 + 1080*r**3 - 520*r**2 - 1084*r + 804 = 0. What is r?\nAnswer: -1, 1, 3, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36883187?\nAnswer: 11, 227, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4001*k**2 - k + 6. Let a be y(-3). Round a to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5551*a**3 - 5553*a**3 - 1 + 1.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -148, -151, -154, -157?\n\"Answer: -3*v - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -18386739.\nAnswer: -18386738.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 31. Let g(u) = 3*u**2 - 3*u - 6. Does 14 divide g(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.019 + 0.981. What is the nearest to 0 in 0.2, -6, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6025 and 111583.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 2 - 2)*(-k + k + 3*k) + (22495 - 42302 + 26124)*(4 - 2*k**2 - 4) in the form h*k**2 + g + y*k and give h.\nAnswer: -12637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -98 + 10 + g**2 + 39 + 2*g + 13 in the form t*g**2 + o + m*g and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8158.330777 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/3)\/(9\/(-135)). Let g = f - -7. Is (-1492)\/(-10) + g\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 55*k**2 - 31*k**2 - 35*k**2. Let g(u) be the first derivative of u**3\/3 - 20. Calculate w(g(l)).\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -788, -1482, -2164, -2828, -3468, -4078, -4652?\nAnswer: -5184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 14 = -4*d + 6, -5*f = -5*d + 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 18 (c) 2 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - 65\/(-13))\/(-5 - -6)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/143 (b) 5 (c) -3 (d) 5\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -62296664.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -22?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -63558909 times 8?\nAnswer: -508471272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1414899786 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2\/13 (b) -0.5 (c) 2\/49 (d) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18508 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4*n**(-2\/7))\/(n**1*n*n*n*n**4\/n*n*n))\/((n\/(n\/(n**0\/n)*n))**43*(n\/((n*n**(-2\/5))\/n))**(-1\/4)) assuming n is positive.\nAnswer: n**(11349\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -103, 6, -9\/5 in ascending order.\nAnswer: -103, -9\/5, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 919*u - 498*u + 4344 = 602*u for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*z = -4*i - 114, -5*z - 3*i + 219 = 0. Suppose -24*p + 165 = -9*p. What is the remainder when z is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*q + 2, -h + 4*q - 4 = q. Find the second derivative of -h*x**3 + 14*x + 2*x**3 - 8*x - 8*x**4 wrt x.\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -k - 1, 4*g - 4 = 5*k + 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -5*d + 18, -3*d + t + 2 + 10 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.60382 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 186311, 186407, 186573, 186815, 187139, 187551, 188057, 188663?\n\"Answer: z**3 + 29*z**2 + 2*z + 186279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*g**3\/3 + 190*g**2\/3 - 248*g\/3 + 50\/3.\nAnswer: 2*(g - 1)*(g + 25)*(4*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**7\/2520 + b**6\/540 - b**5\/360 - b**3\/3 - 2. Let l(j) be the third derivative of y(j). Solve l(x) = 0 for x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 330191, 660382, 990573, 1320764, 1650955?\n\"Answer: 330191*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -470 + 958. List the prime factors of z.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) - (10 + (5120\/(-24))\/16). Solve x + q - 3 = 0, -x - s*q + 49 = 46 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + q + 10. Let g be n(0). Let a = g - 11. Let i(m) = -38*m - 1. What are the prime factors of i(a)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2319 and 25509.\nAnswer: 25509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from kzzpzzlzkmzzkkpplp?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-7))\/(68\/(-14) - -5). Suppose -4*k + 112 = 2*d + o*d, 3*d + 36 = 2*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvvv when four letters picked without replacement from tvvtvvvvvvv?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 57643034 - 57643034.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1085*s**2 + 4495*s. Let z(a) = -79*a**2 - 321*a. Let t(p) = 4*l(p) + 55*z(p). Factor t(g).\nAnswer: -5*g*(g - 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23223654 is divided by 3714.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*y + 9882, 3*h + 3901 = 4*y + 13782. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-63)\/48)\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1463 - 18*i**2 + 100*i**2 - 92*i**2.\nAnswer: -10*i**2 + 1463","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - 7599.48318511?\nAnswer: -7614.48318511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8150887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, x: 1, n: 5, g: 2, p: 1, j: 5}. What is prob of picking 1 x, 1 j, and 1 g?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*((-4032)\/(-21))\/(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + -49643?\nAnswer: -49633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.61 - 0.39. Put -0.1, -0.5, 2, k in ascending order.\nAnswer: k, -0.5, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 1847\/3)\/((-12)\/36). Suppose 5*h - 10095 + y = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x + 14. Let f(r) = 8*r + 15. Let t(p) = -4*f(p) + 3*g(p). Let b be t(-2). What is the tens digit of ((-16)\/12)\/(b\/(-1875))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3438, 6880, 10318, 13746, 17158, 20548?\n\"Answer: -r**3 + 4*r**2 + 3437*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 51946.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -21\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.56 - -82628.\nAnswer: 82627.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -635445\nAnswer: -1\/211815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1197, 2456, 3707, 4950, 6185, 7412, 8631?\nAnswer: 9842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1.98. Let k = p + -3.02. Let m = k + 3. Which is the closest to -2\/7? (a) 2\/19 (b) m (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2679 divided by 47\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-1\/7)*m)**(1\/7)\/(m**(-4\/15)*m*m**(4\/3)*m) assuming m is positive.\nAnswer: m**(-1924\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*t, 5*r + 0*r - t = 23. Suppose 0 = -17*b + 98*b. Let s be (-1 + -2)*-1*1. Sort s, b, r.\nAnswer: b, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28119 and 487357?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46.06 - -48. Let q = 0.03 - 0.09. Let r = q - i. What is the nearest to r in 0.4, 5, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 2, f: 1, p: 2, a: 1, c: 7}. What is prob of picking 2 u and 1 c?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -486 in -9, 2\/15, -0.5, -1, 18?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -36. Suppose -5*b - 48 = -y. Let f be 20\/5 + 4 + b. Solve -1 = f*x + 24 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123 or 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 13*i + 13. What is d(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*a - 28 = 81*a - 4*y, -a = 6*y - 34 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 greater than or equal to 476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 4*b - 5. Let c(z) = 2*z + 2. Suppose 3*s - 6 = -0. Let p be c(s). What is the units digit of d(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 21*w - 1037. Let l(m) = 20*m - 1043. Let s(c) = 5*l(c) - 4*y(c). What is the derivative of s(j) wrt j?\nAnswer: 8*j + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1419*m**2 - 1413*m**2 - 1420*m**2 + 4247*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9168, 38205, 86600, 154353?\n\"Answer: 9679*r**2 - 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 19*x + 208. What is y(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*q**4 + 1190411*q**3 + 284*q**2 - 212*q - 813?\nAnswer: 1344*q + 7142466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p - 6. Let b(o) = -1. Calculate 12*b(d) - 2*x(d).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -13\/16, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7929363, -7929377, -7929391, -7929405, -7929419?\n\"Answer: -14*z - 7929349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4340\/19 + 30608\/133. Factor 4\/7*j**3 - 8\/7*j**2 + 0 - i*j.\nAnswer: 4*j*(j - 3)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 737*x**3 - 2*x**2 - 4*x - 726. Let r(a) = -3686*a**3 + 10*a**2 + 22*a + 3630. Let n(d) = -11*b(d) - 2*r(d). Find the third derivative of n(g) wrt g.\nAnswer: -4410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from pkkqipzkekkp.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1141.45 + 1238.587. Let d = x + -97. Round d to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, f: 1, d: 1, c: 2}. What is prob of sequence cc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v - 252 = -65*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-94) + (0\/(101 + -94))\/(6 + -2)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.31 or -1.309?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3477, 3518, 3581, 3660, 3749?\nAnswer: 3842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**2 - 18*y**2 + 42*y**2 - 16*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**5\/20 + h**4\/3 - 11*h**3\/6 + 11*h**2\/2 + 10*h. Let z be b(-6). Solve -5*y + 5*c = z, -4*y + 2 + 24 = 2*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2736) + 0.\nAnswer: 1 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -55*(-6)\/30) + 2\/3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w**2 - 2*w. Let j(y) = -4*y + 1. Let b be j(-1). Let h be k(b). Let v be (2\/4)\/(5\/h). Solve -4*l - v - 6 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 757 = 2*p - 879, 3*p + 9*z - 14*z = 184 for p.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 1\/6, 4 in decreasing order.\nAnswer: 27, 4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 14.5. Let r = k + -1.4. Which is the closest to r? (a) 1\/2 (b) 5 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*a + 3 + 3, -2*w + 14 = 3*a. Let f be (-340)\/(-170)*10\/4. Sort -41, w, f.\nAnswer: -41, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**3 + 3*k**3 - 7*k**3 + (k + 2*k + 0*k)*(k - 3*k**2 - k + k) + 0 + 0 - 15*k**3.\nAnswer: -33*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*p - 19*p - 4. Let w(u) = u**2 - 5*u + 4. Let k be w(3). Let s be k\/1 + 30\/5. Which is the smallest value? (a) 2 (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3511079926 to the nearest integer?\nAnswer: 59254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*d - 46*d + 4*d**2 + 8*d**2 - 12*d**2 + 5 - 4*d**3 to the form p*d + l + m*d**3 + u*d**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 7:33 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + 3 + ((sqrt(77) + -3*sqrt(77))*2)\/(((2*sqrt(7) - sqrt(7)) + sqrt(7))*-6)*-1.\nAnswer: -sqrt(11)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8384688036?\nAnswer: 2, 3, 269, 865829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -536, -2306, -5270, -9440, -14828, -21446, -29306, -38420?\nAnswer: -48800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 + 15*j**2 - 7*j + 2. Determine k(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-3))\/(-4))\/(6\/18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088256991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 67.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 100 - 5*w**2 + 124*w - 9*w - 20*w = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 - 52 = 173*f - 103. Sort 3, f, -5, 8, 42.\nAnswer: -5, f, 3, 8, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t. Let x(y) = -2*y**2 + y + 1. Let i(f) = -11*f**2 + 7*f - 1. Let c(a) = -2*i(a) + 14*x(a). Give j(c(u)).\nAnswer: -6*u**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m - 2. Let s(r) = 4*r - 1. Let x(z) = -7*s(z) + 3*u(z). What is the tens digit of x(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -613 and 257.\nAnswer: -157541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70822 - 50191. List the prime factors of v.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.321634 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1683 times 0.17233?\nAnswer: -290.03139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g + 476*g = -16624 + 4602 - 3106 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 11. Let j(h) = -h**2 + 35. Let k be j(-6). Let z = -8 + k. Give f(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28569 + 52115 = 386*c for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - o**2 + o. Let r be k(0). Suppose -3*q + 126 = 3*c, -3*c + 80 = -r*q + 2*q. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189861118 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 11*l**2 + 12*l - 15. Let r be q(10). Suppose 5*f - 2*v - 101 = -v, -r*v = f - 41. Let o = 28 - f. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3*p + 21 = 0, 5*p + 1 = q + 2*p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -3 - 1) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(1\/2))\/m)\/m)**(-22)\/(((m*m**2*m)\/m*m*m)\/(m*m\/(m\/((((m**5*m)\/m)\/m)\/m))*m)) assuming m is positive.\nAnswer: m**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 = 3. Let h(a) = -a + 10. Let c be h(5). Suppose -6 + 0 = 2*b. Sort c, b, g in increasing order.\nAnswer: g, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31221051 - -4?\nAnswer: 31221055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83516?\nAnswer: 2, 20879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573765.\nAnswer: 3, 5, 29, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10676041 to the power of 1\/2, to the nearest integer?\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*c - 223*c = -12*q + 35, 2*q = 7*c - 4*c + 37 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 5*c**2 + 9 + 3*c**2 + 24*c + 28. What is the smallest common multiple of u(25) and 68?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ana when three letters picked without replacement from aaaanannnaa?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - 140 + 13*b**2 + 3*b - 114 - 11*b**2.\nAnswer: 2*b**2 - 254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - -1*(4 + -4). Let f = -3 - x. Let g(w) = 267*w - 2. Is g(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**2 - 4*t + 16 - 14 - t**3 + 5*t**4 - 5*t**3 - 8. Let p(r) = 11*r**4 - 13*r**3 - 7*r**2 - 9*r - 13. Let g(s) = 13*k(s) - 6*p(s). Factor g(w).\nAnswer: -w*(w - 2)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 5. Suppose -n*g = -0*g - 129. Let z = g - -90. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1021*m + 961 = -9249 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1720*u - 239.\nAnswer: 1720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 90, 111, 132, 153, 174?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141 and 799.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1782169121?\nAnswer: 37, 1867, 25799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -38. Let y(a) = a**3 - 5*a**2 + a - 3. Let v be y(5). Let 5*j**2 - 3*j**v + 15*j**3 - 16*j**h = 0. Calculate j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/4 and -15\/1689536?\nAnswer: 1689536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -j + 3*y, 0*j + 225 = 5*j + 3*y. What is the common denominator of 77\/18 and (-5 + 260\/j)*(-74)\/(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 777.8418077\nAnswer: 765.8418077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337308886.\nAnswer: 2, 41, 691, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let k(s) = -7 - s + 5 + 1. Let p(t) = -3*t - 13. Let o(w) = -3*w - 12. Let n(j) = 7*o(j) - 6*p(j). Let c(q) = 6*k(q) - n(q). What is g(c(v))?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 11 = 2*p, -3*d - d - 10 = p. Suppose 9 = -y + 5*b, -3*y + p*b - 3*b = -53. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 66 + (-20 - (-6 - -4)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-124)\/((-6)\/(-3))*(-9)\/2. Let l = t + -128. Let i = -91 + l. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982342 is divided by 196133.\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1260*k**5 + 10*k**3 - 2*k**2 - 64500*k wrt k?\nAnswer: 25200*k**3 + 60*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 1:01 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-23)\/(((r\/(r\/r**13*r))\/r)\/r*r) assuming r is positive.\nAnswer: r**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 743958999?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -9. Suppose 2*y + l = 0, -y - 5 = -2*g + g. Suppose g - 2 = p, -5*p - 28 = -2*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 8:33 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-963 + 79*d + 963)*(1 - 1 - d) + d**2 - 2*d**2 + 0*d**2 + (-2 + 2 + 3)*(d**2 + 6*d**2 - 4*d**2).\nAnswer: -71*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -16. Let t(g) = 16*g - 5*g**3 + 12*g - 27*g. Let f be t(u). Solve 2*b = 5*m + b - 4, f*m - 4 = b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m - 2*m - 9*m - m - 2*m + 0*m + m + (4 - 1 - 5)*(-m + m + 2*m) - 4 + 4 + m to the form x + z*m and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 + 8 = 0. Let g be (0 + 5)\/((-14)\/(-56)). Suppose 2*w = o*w - g. What is the highest common factor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * -760.\nAnswer: -11400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 13035810.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -14*m**2 - 21*m + 14. Let n(w) = 13*w**2 + 18*w - 12. Let h(d) = -6*j(d) - 7*n(d). Let u(v) = 15*v. What is h(u(i))?\nAnswer: -1575*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1129\/258 + -9\/43. Let j be 2 + ((-1055)\/42)\/5. Let h = p + j. Find the common denominator of h and 79\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57*m**2*y - 37*m**2 - 5*y**2 + 2 wrt y.\nAnswer: -57*m**2 - 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 9*n + 8. Calculate w(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.055? (a) -1\/4 (b) 2\/3 (c) 3\/8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17890 and 626150?\nAnswer: 626150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204 = 104*g + 108 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 26 + -31 - (-9 + 1)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 5*a + 8. Let z be l(-6). Let f(j) = -j**3 - 8*j**2 - 7*j + 4. Let w be f(-7). Solve w*y - 2*p + 14 = p, 5*y + z = -4*p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k*o*q + 1651600*k*o + 33*k*q - 2*k + 79195*q - 1 wrt o?\nAnswer: 2*k*q + 1651600*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17229 minus 2.09?\nAnswer: -17231.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 1\/3 (c) -0.28 (d) 1209 (e) -0.1 (f) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 9:35 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106 - -23604411?\nAnswer: 23604520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - -74. Suppose j - 3*j + 4 = -h, 0 = -4*h - 4*j + q. Let d(v) = 2*v**2 - 3*v. Determine d(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 134 = -5*h, 191 = 91*q - 88*q - 5*h. Solve 176 + 109 = q*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3074*a + 6139. Give h(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*l - 5)*(-4*l - 3 + 3)*(1 + 2 - 1)*(8 - 12 - 13).\nAnswer: -272*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*h - 54*h = -255*h - 297*h - 17346 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 2:55 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 239673 and 152663?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -747.4155078814 and -0.3.\nAnswer: -747.7155078814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 71 - 45*u - 19 - 19.\nAnswer: -45*u + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -2 - 1\/24*a**4 + 0*a + 1\/6*a**3 - 1\/2*a**2. Let n(y) be the second derivative of v(y). Determine n(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Suppose g*b + 1 = -8. Let j(t) = -t - 1. Let v be j(b). Solve -v*f + 4 = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10719, -10721, -10723, -10725, -10727, -10729?\n\"Answer: -2*p - 10717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 127978 and 8?\nAnswer: 511912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 1, -0.1, 4, 20\/67, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a + 0 + 8\/3*a**3 - 26\/3*a**2.\nAnswer: 2*a*(a - 3)*(4*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -1338 + 114. Suppose 0 = s - i - 102. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*w**5 - 1063*w**4 - 2*w**2 - 13*w + 18627 wrt w.\nAnswer: -620*w**3 - 12756*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -2)\/((-480)\/70 + 7). Let c be (-10)\/5*-2*2. Suppose 2*a + c = 32. Solve 4*i = a, 0*v - 4*v - 2*i = -o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/1620*-15*-6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 63822 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 10:45 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3*u + u + 0 + 0 - 2*u + (u - 6*u + 2*u)*(-1 - 2 + 1))*((-4 + 2 + 3)*(0 + 0 + 2*u) + 13*u + 13*u - 24*u - 1).\nAnswer: 12*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1919 or -28\/3?\nAnswer: 1919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2704.28956 rounded to the nearest ten?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288 less than or equal to 3860\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172 + -109. Let a = -124 - p. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -26. Solve -3*u + 2*u + 5*k = 29, 0 = 3*k - b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.62 - -1.534.\nAnswer: -1.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41902.\nAnswer: 2, 7, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 41*y**2 - 183*y + 2. Let n be t(45). Is n at least as big as -138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/3 - 2 - (-119)\/72. Let f = j + -13\/24. Factor -f*m + 0 - 8\/3*m**2 - 2\/9*m**4 - 4\/3*m**3.\nAnswer: -2*m*(m + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + n + 0*n - 11 = 0, -2*n = -w + 5. Solve -w*z = -4*z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/6)\/((-4)\/3). Let p = 1082 - 1084. Which is the nearest to p? (a) -0.2 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 121*d - 114*d + 3*k + 9, -3*d = 2*k + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 + 4*r + 4. Suppose -7*i + 2*i + 25 = 0. Let c(u) = 2*u**2 + 5 - 2*u**3 - 2*u**2 + 5*u. Calculate i*c(n) - 6*p(n).\nAnswer: 2*n**3 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*r - 88*r - 24*r - 83*r - 2*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 86992 - 86993 - 3*p - 11*p.\nAnswer: -15*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 4. What is the remainder when ((-4)\/3 - -1)*-27 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109427 and 1168.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 take away 64418.41?\nAnswer: -64435.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/(-12)*(-3)\/(-2). Let l = 62.03 - 62. What is the third biggest value in m, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/11 + 1080*x\/11 + 145800\/11 = 0. What is x?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 23*b + 139. What is w(-28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 433212 and 183282?\nAnswer: 4765332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 33*f**2 + 3*f - 101. What is k(33)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**8\/336 + s**4\/12 + 4*s**3 + 5. Let g(w) be the third derivative of y(w). Differentiate g(u) with respect to u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 3 + (0 - 4 + 2)*(3 + 2 - 3))*(-409 + 31*p + 409) to x*p + y and give x.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 2*o**2 + 6*o + 3. Let u be i(-4). Let q be 2*2 + (0 - -2). Let b = u - q. What is the remainder when 14 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 732*b**3 - b**2 - 1546*b wrt b?\nAnswer: 4392*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-710*d - 646*d + 560*d)*(4*d - 4*d - 2*d**3).\nAnswer: 1592*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-240))\/((-244)\/(-1952))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 230 + -131. Suppose 5*r - p = -2*o + 33, -5*r = -5*o - 160. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j + 172 - 220 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3994\/149197?\nAnswer: -3994\/149197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - y + 0*y - 1 + 2*y. List the prime factors of i(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59.71 times 5\nAnswer: 298.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 149\/1043*(-70)\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -52503520, -105007037, -157510554?\n\"Answer: -52503517*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/10 + -2)\/((-1212)\/(-808)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 314 + r + 231 - 60 - 71.\nAnswer: -r + 414","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29788.\nAnswer: 2, 11, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001151215 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -901 divided by 15\nAnswer: -901\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 52*h**2 - 2*h - 1. Suppose 0 = 3*m + 5 - 2. Is p(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z = -5*z. Suppose 0 = -4*t - 2*c + 210, -t = -z*t + 2*c - 48. Calculate the greatest common divisor of t and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155798 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: Convert 8621.145nm to meters.\nAnswer: 0.000008621145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -16. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 - 9*b**2 - 2*b + 7. Is n(-7) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-170))\/(8\/(-6170)*(-288)\/1152). Is l greater than -72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 18*v**2 - 3. Suppose -z = 3*q + 15, -89*z + 9 = -92*z - 3*q. Let x(r) = 90*r**2 - 14. Determine z*x(a) - 14*w(a).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s = 2075 - 1661 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.581 and -4156976.\nAnswer: -4156973.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8657632 to the nearest integer?\nAnswer: 2942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 848 and 8.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2. Let y(d) = -5 + 5 - 18*d - 5*d - 5. Let k(t) = -5 + 24*t - 150*t - 22. Let w(b) = 5*k(b) - 27*y(b). Determine w(s(p)).\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2. Let h(y) = -7*y - 10 + 10 - 11*y. Calculate h(i(g)).\nAnswer: 54*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**7\/115 + 44*r**6\/345 + 211*r**5\/230 - 74*r**4\/69 - 44*r**3\/23 + 909*r**2. Determine p so that i(p) = 0.\nAnswer: -3, -2\/7, 2\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 0) + (-2 - (-318)\/3). Suppose -6*t - 7 = -h. Calculate the highest common factor of 64 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 66.7407, 4\/9, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -204879 + 217991297\/1064. Calculate the common denominator of -23\/532 and k.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = o + 20. Suppose -4*p + 8 = -0*p. Calculate the smallest common multiple of (-2)\/(-3)*(p + 4) and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - o - 3 - 179*o to d + p*o and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8858*n = 8836*n + 21736. What are the prime factors of n?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23753*c = 23583*c + 6630 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 9?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = -v + 2, -9 = -3*t + 3*v. Suppose -2*n + 6 = t. Factor -3 + h**3 - n*h**3 + 3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -734d93?\nAnswer: 734d90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**2 + 12*g + 60. Suppose -52*k + 53*k = 0. Suppose 2*v + 3 - 11 = k. Let w(q) = 14*q**2 + 37*q + 181. Let n(t) = v*w(t) - 11*o(t). Factor n(m).\nAnswer: (m + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -2. What is the derivative of -2 - 112*j**3 + 2*j**m + 112*j**3 wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365234 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((64\/(-2464))\/(5\/42))\/(6\/(-40)). What is z in -32\/11*z + 128\/11*z**2 - 42\/11*z**5 - 128\/11*z**4 - r*z**3 + 0 = 0?\nAnswer: -2, 0, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 0 - 1\/6*m**3 + 9\/2*m**2 + 2*m. What is the first derivative of j(v) wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.245842862 rounded to 2 dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (252\/2)\/(3\/2). Let x(t) = y*t - 7 - 39*t - 44*t. What is x(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 6:43 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3311)\/(-1419)*10\/14.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 66.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f - 11. Let j be s(-10). Let m = -21 + j. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -2*a + 18, -90*c + 14*a - 6*a - 3*a - 20 = 345 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -806 divided by 3\nAnswer: -806\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.57 + -2.57002411. What is c rounded to six decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 966 = -0*g - 5*b, -2*g + 5*b = 644. Let f be (1\/2)\/((-23)\/g). Let p be (f - 6\/2) + 56. Calculate the greatest common divisor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 3915132.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 649, -4, 2\/19, -1\/10 in descending order.\nAnswer: 649, 4, 2\/19, -1\/10, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 13006*p - 104029. Calculate q(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -9. Suppose l - 7 = -5*a + 15, 0 = a - 5. What is the closest to l in -1\/4, w, -4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-518)\/(-1221)*((-20)\/8 - (2478\/(-196))\/3).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 15 = 2*b. What is the smallest common multiple of b and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1591 = -102*v - 33*v - 164 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 82427 and 13.\nAnswer: 1071551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14543, 14366, 14189, 14012, 13835, 13658?\nAnswer: 13481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 48, -2\/5, 1.074, -0.1, 6, 1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 18*q**2 + 15*q - 51. Give g(-17).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1\/22 (c) 1158 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1468, 1, 3, 4 in increasing order.\nAnswer: -1468, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0) + 4 - 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16751 and 29757?\nAnswer: 71208501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2926856 and 20.\nAnswer: 14634280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*x**(-7)))\/x)\/x**(-8\/7))\/(x**(-10)*x*x**(1\/5)))**38 assuming x is positive.\nAnswer: x**(21204\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*k = 29, -1364*k - 11 = 2*j - 1359*k for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38903*f*x**3 + 95*f*x - 49*f - x**2 + 3 wrt x?\nAnswer: 233418*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1052040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f + 0*f)*(1 + 3 + 2)*(0 + 1 + 1).\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.32 - 0.36. Let q = -5.7 - -37.7. Let f = 32 - q. Sort f, h, -3\/7.\nAnswer: -3\/7, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 16 = 2*q, -9*g + 8*g - 5*q + 4 = 0. Suppose 4 = 2*s, -g*s - s - 53 = -3*a. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 - 11. Is 2 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 480 = 290. Suppose -5*m + 66 + 14 = 5*o, -2*m = -5*o - 18. What is the greatest common divisor of b and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4015, -3898, -3793, -3700, -3619, -3550?\nAnswer: -3493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4527, 4526, 4525, 4524, 4523, 4522?\nAnswer: 4521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -660 (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93255259.6 - 93250025.602169. Let n = -5234 + h. Round n to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/2)\/((-9618)\/450443). Let p = 41 + 29. Which is smaller: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.62 take away 99.7?\nAnswer: -24.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617048 is divided by 122596.\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from sizszzwzzzszzsssz.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513547 a multiple of 467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 - o - 5. Let z(w) = 5*w**2 + w + 9. Let r(m) = 5*u(m) + 3*z(m). Let k(j) = -11*j**2 + 5*j - 4. Give 4*k(a) + 9*r(a).\nAnswer: a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 18*o**4 + 808*o**3\/5 + 374*o**2\/5 - 320*o + 328\/5 = 0.\nAnswer: -41\/5, -2, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.422 + -305.578. Let z = g + 305. Let m = 9 - 8.9. Which is the smallest value? (a) z (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/((-92)\/22 + 4). Suppose 0 = -4*k - 2*q + 30, 5*q = 5*k + q - z. Suppose 88000 = 12*s - k*s. What is s rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 112*l - 1415. Calculate z(13).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2350760 is divided by 167909?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/629 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/736 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 + 287633*s**2\/3 - 862906*s\/3 + 575272\/3.\nAnswer: (s - 2)*(s - 1)*(s + 287636)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 6*f**2 - 20*f - 11. Let i be (-225)\/27 + 2\/6. List the prime factors of w(i).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873 is divided by 428?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 + 7*m**3 - 2*m**3 + (2*m**2 + 0*m**2 - m**2)*(4*m - m + m) + 0*m**3 + 2*m**3 - m**3 + (0*m + 2*m + 0*m)*(-m**2 - 4 + 4).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -477 and -135.\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/(1\/2*((-21 - -20)*-17 + -19))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(11\/(-5) + (-8)\/(-40))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -52*p + 49*p + 15, 2*x + p = 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -4, 147, -3, -161, -2, 5 in ascending order.\nAnswer: -161, -4, -3, -2, 5, 60, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o - 9. Let f(h) = -57*h - 32. Let b(k) = f(k) - 4*j(k). What is b(-2)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2190389488?\nAnswer: 2, 7, 29, 617, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634*x**2 + 317*x**2 + 321*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.33, -5\/2, -4 in increasing order.\nAnswer: -7.33, -4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**4 - 2*o**4 + 0*o**4)*(4 - 4 - 8) + (2*o - 2*o + o**2)*(25*o + o**2 - 30*o + 15*o).\nAnswer: 17*o**4 + 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.8? (a) 5 (b) -0.3 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 65 = 3*q, 332683*f + q - 173 = 332606*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 12 - 2, 0 = -4*r + 4*y. Suppose -3*t - 4*k - 6 = 14, 5*t + r*k = -25. Suppose 3*d + 6 = t, -4*i + 0*d + 166 = d. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*f + 6013 - 29949, 5*i = 2*f + 29917. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1234083229418.999999779 - -1234083229940. Let t = x + -521. What is t rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616*u + 2356746 = 743650 - 540440. Calculate the greatest common factor of 1288 and u.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 5 - -3) + 16\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4 - (-7)\/((-63)\/(-27))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134352?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 13, u: 6}. Give prob of sequence dud.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.7 + -0.7. Which is smaller: l or -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1092173 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-3)*30\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 40 = 4*x + 12, 3*x + 4*y - 23 = 0. Let g = -12.3 + 12. Let i = 68928.2 + -68929. Sort i, 2\/5, g, x in increasing order.\nAnswer: i, g, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1124849874.\nAnswer: 2, 3, 79, 1427, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.14, -34, 455, 3\/7, -0.9 in descending order.\nAnswer: 455, 3\/7, -0.9, -2.14, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12010204 + -11?\nAnswer: -12010220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/3, -5, 4, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 78, -382, -1088, -1998, -3070, -4262, -5532?\n\"Answer: 7*u**3 - 165*u**2 - 14*u + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2130 is divided by 707?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7 = 2*q, -x = 5*q + 3*x + 2. Suppose 7 = 2*t - 17. What is the highest common divisor of t and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1151?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152517 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from ubeuhffbubeeeubuuu?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/5, -487, -4, 3, 316, -1\/6, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 49*q + 104 = -53*q, 3*t - 4*q - 82 = 0. Solve -5*n + 2*s + 3 - 8 = 0, t = -4*n - 2*s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 8 = 4*t, 4*t + t - f - 4 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**5 - 4*y**4 - 8*y**3 - 20*y**2 - 6*y. Let g(h) = h**5 + h**4 - h**3 - h**2 - h. Let s(l) = 12*g(l) + 2*p(l). Find q, given that s(q) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -4 + 0 + (8 - 6). Let d(x) = 74*x**2 + 52*x + 1. Is 52 a factor of d(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4056 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -7) + 7 - 0 - 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -310258, -310192, -310126, -310060, -309994, -309928?\n\"Answer: 66*u - 310324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 395, 5, -418 in descending order.\nAnswer: 395, 5, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igaaagg. What is prob of sequence gga?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6631, 13257, 19879, 26497, 33111?\n\"Answer: -2*z**2 + 6632*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-25)*(-3530 - -10). Find the common denominator of (2 + -62)*(-96)\/x and -59\/36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-48 + 54)*(-6)\/27. Which is the smallest value? (a) -353 (b) w (c) 0.2 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -2. Suppose -3*d - 20 = 2*d. Let f = s + d. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9774.9999994223 - 9775. Round j to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002450448 to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(1\/6)))\/w*w\/(w\/((w*w*w**1*w)\/w))*w)**(7\/11) assuming w is positive.\nAnswer: w**(119\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -567\/54682 or -1?\nAnswer: -567\/54682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -51?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-11)\/(-165)*-5)\/(4\/44)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9833 - 3592 = -63*r - 832*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -5*b**2 + 1\/210*b**7 + 0 + 0*b**5 + 0*b - 1\/6*b**3 + 0*b**6 + 0*b**4. Differentiate h(q) wrt q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -138 - -158. Suppose -21*d + p = -26*d. Sort d, 3, 24 in descending order.\nAnswer: 24, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7058.572 times 1?\nAnswer: 7058.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 152772\/9907 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*q - 555 = -43*q. Calculate the highest common factor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 + -0.2. Let u = -2.9 + y. Which is the nearest to u? (a) -0.2 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 13*l**2 - 48*l - 15. Give w(-9).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 340 + -64. Suppose -3*m - 1 - 2 = 0, 347 = 5*x - 2*m. What is the greatest common divisor of y and x?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d - 11 + 11)*((-2 + d + 2)*(1 - 1 + 1) + 2*d - d + d).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/5)\/(n**(-3\/8)\/n))**42*(n**4*n**6)\/(n**0)**(-2\/9) assuming n is positive.\nAnswer: n**(1859\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 5*a + 11, -5*a = 3*j - 1 + 13 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 11264128, 0.53?\nAnswer: 11264128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**6\/180 + w**5\/24 + w**4\/12 - 7*w**2. Let h(x) be the second derivative of a(x). Differentiate h(p) with respect to p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 15*x. Let a(y) = -y + 7. Let n be a(6). Is 8 a factor of w(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13, 22 in descending order.\nAnswer: 22, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c**4\/7 - 16*c**3\/7 - 706*c**2\/7 - 3156*c\/7 - 576 = 0 for c.\nAnswer: -16\/3, -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54639*l + 54696*l + 54658*l - 164042*l.\nAnswer: -49*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n**4 - 49*n**3 - 2*n**2 - 8. Let l(u) = -7*u**4 + 33*u**3 + u**2 + 5. Let t(z) = 8*l(z) + 5*o(z). Find the third derivative of t(f) wrt f.\nAnswer: -24*f + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3474*x + 48437. Determine f(-14).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)\/((f**(-3\/7)\/f)\/f))\/(f**(-3\/7)*f*f**6) assuming f is positive.\nAnswer: f**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 201942 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12731211, 25462422, 38193633?\nAnswer: 50924844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8464 + -4936. Let p(u) = u - 3528 + a. Suppose -4*b = -5*h + 24, 2*h - 3*h = 3*b - 1. What is p(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2047, 4401, 6755, 9109, 11463?\nAnswer: 13817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000257.\nAnswer: 3, 333419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - 1221a5?\nAnswer: -1221b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8583 - 1193 = 581*w + 4914 + 3902 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 + 38*p**2 - 25*p + 323. Determine z(-20).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/(-2) + 18\/(-12). Solve 2*v - f*v = 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 6 (c) 0.1 (d) -0.06 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwv when three letters picked without replacement from {k: 1, h: 2, v: 6, w: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1\/188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 + 243 = -32*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) 0.2 (b) 1\/6 (c) -0.1 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6617.\nAnswer: 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10105 = 114047*g - 114282*g for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*l - 13 = 0, 2*a + 3 = l - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 16 - -8) + -10 + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 + 4*w + 2. Let t(x) = 4*x**2 + 3*x + 1. Let n(p) = 5*g(p) - 6*t(p). What is the remainder when 22 is divided by n(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 47*t**2 - 367*t + 3135.\nAnswer: -(t - 5)*(t + 19)*(t + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.259*-730.\nAnswer: 1649.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135361891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -u - 3, -5*u - 116074*d + 116072*d + 20 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*v = -53*v - 304. Suppose y - 239 = -2*t, -v = t + 3*y - 198. What are the prime factors of t?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61390.76 millennia in centuries?\nAnswer: 613907.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6 - -1)*0\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71540.85 centimeters in kilometers?\nAnswer: 0.7154085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d - 20. Let b(f) = 1675978*f. What is b(z(y))?\nAnswer: -8379890*y - 33519560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1581\/2532946 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.9 and 53320.\nAnswer: 367908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 636 = 5*b. Let o = -17650 + 17491. Are b and o nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -a - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12080 - 5*l**2 + 4*l**2 + 12080.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 3*p + 4*p + (2 + 1 - 1)*(-p + p - p) - 2*p - 2*p + 3*p + 0 + 0 - p in the form c + l*p and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 3*z - 2*z)*(-6*z**2 + 3*z**2 + 2*z**2) + 2*z**3 - 15*z + 9*z + 5*z**3.\nAnswer: 6*z**3 - 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7560352 is divided by 180?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5626336640 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*q = 5*b + 556*q + 255 - 38, 5*q = -5*b - 4*q - 224 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 82 + 8 = 0. Let y = -12 + k. Suppose 4*r + 25 = -r - 2*h, -5*h = -5*r - y. Are -6 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 414 - 127?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t**3 + 4*t**3 + 2 + 3*t**3)*(3 - 3 + 3) to the form x*t**2 + j + d*t + a*t**3 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -10. Calculate the smallest common multiple of b and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-192)\/(-104) + 2\/13. What is the units digit of 68\/(-4 + x - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417467 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: Is 3328639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1166\/3 + -388. Which is the fourth smallest value? (a) s (b) 16 (c) 1 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78137812, 78137806, 78137798, 78137788?\n\"Answer: -p**2 - 3*p + 78137816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18869*t - 42 + 39 - 18870*t.\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/15 + 617978*u\/15 + 205992\/5.\nAnswer: 2*(u + 1)*(u + 308988)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150.85 - 151.25. Let z = 0.01 + 0.29. Let m = z + -0.1. Sort m, 2\/7, n in descending order.\nAnswer: 2\/7, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/14074 and 53\/95666.\nAnswer: 21716182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(171) - sqrt(19)) + 2 + sqrt(19) - sqrt(19)).\nAnswer: 10 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 2*b**7\/105 - 49*b**6\/60 + 1925*b**3\/3 - 2788*b**2. Find the first derivative of m(w) wrt w.\nAnswer: 16*w**3 - 294*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffmz when four letters picked without replacement from mmfzfff.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 14*m**2 - 1604*m - 255. What is o(113)?\nAnswer: -2741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 927810 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24207?\nAnswer: 3, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 19. Let h be p(17). Suppose -f - 18 = -h*f. Let i be 27\/f - 5\/2. Which is smaller: -3\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 32. Let g be j(18). Let m be -1*(-3 - (1 - 1)). Suppose -3*f + m*l = -g*f + 38, 4*l = f - 31. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -4)\/(0 - 1) + 80 + -78?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 39698, 39710, 39728, 39752, 39782?\n\"Answer: 3*z**2 + 3*z + 39692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1 - 2)\/(-1))\/(21\/(-6)). Sort 2, -2\/13, l in descending order.\nAnswer: 2, -2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esmssseesseem. Give prob of sequence mse.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3b1425 (base 14) to base 12\nAnswer: 8243b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from xjwkkxk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/205 and 19\/40.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = h - 0*h - 2*z, 3*h = 5*z + 14. Which is bigger: h or -15\/16?\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1700) + -3 + 3 + -2 + sqrt(1700))**2.\nAnswer: -80*sqrt(17) + 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22654 (base 10) in base 4?\nAnswer: -11201332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312368997 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*3008\/1880.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u - 17*u = 13*u + 14*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7119 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: Suppose -81432 = 23*g - 59*g. Does 29 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 3:55 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 21\/(-9) + 832\/(-96). Which is the nearest to 0.27? (a) -0.3 (b) -1\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 692*n. Let k(s) = 5*s**2. Determine k(t(w)).\nAnswer: 2394320*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*((1*sqrt(72)\/sqrt(2))\/sqrt(12) + 2)**2.\nAnswer: 16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skvvsk. Give prob of sequence vkv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) -47\/32 (c) -66 (d) -7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-194)\/(-7) - (-16)\/56. Let d = c - -33. What is the remainder when d is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/21 + 2\/7*r + 2\/21*r**2.\nAnswer: 2*(r - 1)*(r + 4)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 10. Suppose -p = 2*h - 9. Suppose -52 = -3*f - h. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -5*f**4\/12 - 7*f**2 + 16*f + 6. Let k(h) be the first derivative of c(h). Differentiate k(d) wrt d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 6. Let m be s(-9). Suppose 24 = m*t + t. Let z be (-2)\/(t\/(-57)*1). Solve 1 + z = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*(-1)\/(-3) - (-54)\/81. Let v(n) = -8*n + 11*n - 50 + 50. Calculate v(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -23, -21, -19?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -24*m**2 - 45*m - 277. Calculate v(-9).\nAnswer: -1816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwhccwcchhccwwchchcc. Give prob of picking 2 h.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 0 + 2\/15*m**5 - 3*m**2 + 0*m**3 + 0*m**4 + 0*m - 2\/105*m**7 + 0*m**6. Find the third derivative of k(i) wrt i.\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - y + 4*y + (4 - 4 - 1)*(y + 4*y - 3*y) + 0*y - y + 2*y - 12 + 7 + 10 - 2*y in the form m*y + r and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h + 15 = 20*h. Solve 0*p - 6 = -3*p - g, -h*g = p - 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(sqrt(1694)*-2 - sqrt(1694)) + sqrt(1694) - sqrt(1694))\/(sqrt(567) + sqrt(567)*2*5 - sqrt(567) - sqrt(567)).\nAnswer: -4 - 11*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*v - 5407 + 988 = -149 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 651496 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2132 = -20*q - 712. Let m = q - -277. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6*m**2 - 6*m**2 + 5*m - m**3)*(4*m - 2*m - 3*m) as r*m + j*m**4 + x*m**2 + n*m**3 + g and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, 0, 2, -1792 in decreasing order.\nAnswer: 6, 4, 2, 0, -1792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2151852 is divided by 3331?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 27*a**2 + 2*a - 2. Let r(w) = -w**3 + 53*w**2 + 5*w - 5. What is -9*f(b) + 4*r(b)?\nAnswer: -4*b**3 - 31*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 147810?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from vxrvxxvvxvr.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2072 - -2077. Solve 3*i = -k*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10 = n + h, 2*h = 8. Let l(p) be the first derivative of 3*p**4\/4 + 2*p**3\/3 - p**2\/2 - 1. List the prime factors of l(n).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 894\/867923?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2610 + 4442 = 2*g. What are the prime factors of g?\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:18 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19490968 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 9 - 17 = 4*y, 5*y + 10 = 5*a. Is 324 + 2 + (-4)\/y a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + -11. Let u = -24 - h. Is (-92)\/u*10\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 74*((-4 - -1) + 2). Let z = 71 + p. Is ((-1182)\/4)\/z + 84\/(-56) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-112)*(3280\/30)\/41.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17283 from 0.269691723.\nAnswer: 17283.269691723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41888 and 23392544?\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**2 - n - 99. Let r = -4 - -3. Let d be h(r). Solve -w - d = -2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u - 5*w - 27 = 0, 2*w = 3*u - 18. Suppose u*q + 90 = -102. Let f = -29 - q. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/58 and -93\/116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.92 + 0.57. Let w = -5.52 - z. Let g = 7 + w. Round g to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 121, 4, -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/2*60\/(-9). Let r be ((-90)\/(-25))\/((-4)\/v). Let t = r + -14. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 4*g = -40. Calculate the remainder when 39 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 8. Let c(i) = -14*i**3 - i**2 - 2*i. Let o be c(-1). Let y be 4*2*o\/40. Suppose 0 = -2*q + y*q. Calculate j(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746 a factor of 1004514863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*h - 6 = -390*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110906019.\nAnswer: 3, 7, 587, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*y**4 - 36*y**4 - 145*y - 121*y + 296*y wrt y?\nAnswer: -852*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56, -83, -128, -191, -272, -371, -488?\n\"Answer: -9*f**2 - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171596 or -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*f*t**4 - 138*f + 63*t**4 - 4*t wrt t.\nAnswer: -132*f*t**2 + 756*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 0 - (-3040)\/(80\/10). Let d = w - 246. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188217850 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1863\/2 - -931. Let v = 0.038 + 2.262. Let m = v + -2.4. What is the nearest to m in -6\/11, l, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 8*x**2 - 8*x + 11. Let t be f(-9). Let r be t\/(-5)*(39 - -12566). Let g = r + 7561. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*o + 0 = -19, -5*t - o = -10. Suppose 0 = w - t*w + 4. Suppose w - 18 = -4*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4692 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v + 33 + 6*v - 7*v - 8*v.\nAnswer: 4*v + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25551 less than 25551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160368 divided by 12.\nAnswer: 13364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 269673597 less than 82?\nAnswer: -269673515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j + 183. Determine w(26).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -29.2?\nAnswer: 87.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6039 and 73462239?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 9:07 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2*g + 3*g)*(4 + 0 - 1) + 0*g + 0*g + g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 240*z + 99*z - 2*z**2)*(2*z - 3*z - 3*z + (-2 - 1 + 2)*(-3*z + z + z) + 3*z + z - 5*z).\nAnswer: 8*z**3 + 540*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1)*(f*(f\/(((f**(-12\/11)\/f)\/f)\/f))\/f)\/f*f**(2\/7)*f**14*f assuming f is positive.\nAnswer: f**(1415\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*i + 23 + 3, d + 2*i = 9. Let t = 8 + d. Solve 3*m + 4 = t*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2590*q - 605793 = -3140*q - 1506*q + 1875*q for q.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s\/s**(-11))\/s)\/s**(-1))**(-2\/11) assuming s is positive.\nAnswer: s**(-28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19344 = -1302*i + 24420 + 20034 for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12224033 - -3?\nAnswer: -12224030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3280 and 11644.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-2\/3))**1)**24)**22 assuming c is positive.\nAnswer: c**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, k: 3, j: 1, a: 3, y: 3}. Give prob of sequence jakp.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13084925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3758332 divided by 51484?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**5\/60 + n**4\/12 - n**3 - 2*n**2 + 61*n. Calculate m(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10025438 and -29559?\nAnswer: 9995879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0149, 34\/5, 3\/4, 1\/2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*m = 147*m + 6. Is m\/(-2) - (-20488)\/16 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 10 = 12. Sort 7, b, 5, -3 in ascending order.\nAnswer: -3, b, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716533.\nAnswer: 17, 113, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 627 and 163229?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + 42*w - 37. Suppose -7*v - 2*v - 198 = 0. Let b be n(v). Solve -b*a + 23 = -5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -22951702 and 3.5094.\nAnswer: -22951698.4906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -436, -436, -428, -406, -364, -296, -196?\n\"Answer: s**3 - 2*s**2 - s - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from joifdqj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/768 and -55\/76228032?\nAnswer: 304912128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {o: 1, g: 7, x: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -5 + -6 + -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elw when three letters picked without replacement from uyywelw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1 - -6) + -7 - 4) + -27. Let c be (-107999999)\/(-3) + (-11)\/l. What is c rounded to the nearest 1000000?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w - 7*w + 0*w + 16*w + 4*w - 3*w - w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o. Let g(f) = 13*f - 42. Determine h(g(x)).\nAnswer: 65*x - 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 46. What is the third derivative of -117*o**w + 3*o - 3*o + 110*o**4 + 15*o**2 wrt o?\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63662.74 litres in millilitres?\nAnswer: 63662740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t + 57 + 47 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/9*6\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 12:26 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -28. Suppose g = y + 2. Let c(z) = -2*z**2 + 6*z - 2. Give c(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88400 is divided by 172?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/3))\/x*x**(-2\/13))\/(x*x*(x\/x**(-1\/5))\/x*x*x*x**(-1)) assuming x is positive.\nAnswer: x**(-589\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90097.14 hours to days.\nAnswer: 3754.0475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 0.2 (b) 10 (c) 2\/81 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**(-15))*l)\/l**(-9\/8)*(l*l**(4\/7))\/l**11 assuming l is positive.\nAnswer: l**(487\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**4\/12 - 3*s**3\/2 - 9*s**2\/2 - 7286*s. Let q be 1 - (0 + 0) - 8. Calculate the remainder when 37 is divided by h(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l**14\/l)\/l*l**(-35) assuming l is positive.\nAnswer: l**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.902 - -19.\nAnswer: 25.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, x: 6, s: 2, l: 1, y: 1}. What is prob of sequence xyxx?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 13 + 2 = 0. Suppose 0 = 2*p + w*m - 9, 2*p - 5*m = 4*p - 11. Solve -2*y - 3 = p*o + 1, 2*y = 3*o + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99\/40 + 23\/8. Let w = 6 - 10. Let q be 9\/w + (-2)\/8. Sort 2\/19, a, q in descending order.\nAnswer: a, 2\/19, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1762874553?\nAnswer: 3, 11, 269, 198589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 = -0. Let w be (-4)\/((l - 8) + 3). Suppose -6 = -w*a + 4*k, 5*a - 33 = 2*k - k. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 3*l**3 - 6 + (9 - 9 + l)*(2 + 2 - 2)*(-2*l**2 - 4*l**2 + 4*l**2) as s*l**3 + q*l + r + b*l**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 894426, 894256, 894086, 893916, 893746?\nAnswer: 893576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40228281, -40228297, -40228313, -40228329, -40228345, -40228361?\nAnswer: -40228377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12434\/5675 - 5\/454. Find the common denominator of d and 103\/735.\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036965511 rounded to four dps?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.3 - 14.\nAnswer: -26.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46269?\nAnswer: 3, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -122, 4, 8, 0.021, 5, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 30077*o - 156 = -30080*o, -2*o + 56 = -a for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 e when three letters picked without replacement from xxexexxxxxxexxx?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 8 = 5*q, -22 = -3*q + 4*z - 6. Suppose 3*f + q*u = -4*u + 655, 0 = f + 2*u - 219. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 124*l**2*w**3 + 62*l**2 + 2*l*w**3 - 207886*w**3 wrt l?\nAnswer: 248*l*w**3 + 124*l + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-2\/35))**4)**(-5\/6))**22 assuming a is positive.\nAnswer: a**(-484\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23784394.\nAnswer: 2, 17, 699541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1101221221 (base 3) to base 9\nAnswer: 41857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*x + 155, -4*u + 162 = x - 422. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -66 - (-1 - 0). Let c = 450 + -356. Let v = c + i. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**2 + 2 - 6*r**2 - 6 + 8*r + 2 as u*r**2 + f + q*r and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32361496 by 613.\nAnswer: 52792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from sccssccccc.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -394157 - -394162. Let x be (-1)\/2 - 3\/(-2). Sort -1, 3, c, x in descending order.\nAnswer: c, 3, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39 and 18\/7776035?\nAnswer: 7776035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41329722*o**5 + 39*o**2 + 14*o + 34592.\nAnswer: 2479783320*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -240 - 2170. What are the prime factors of c?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**7\/2100 + r**6\/300 - r**5\/100 + r**4\/60 + 5*r**3\/3 - 3. Let a(j) be the third derivative of m(j). Factor a(i).\nAnswer: -2*(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8211.5609 to the nearest integer.\nAnswer: 8212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 19. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15532 - 63371?\nAnswer: -45637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 6*i**2 - 4*i - 2. Let g be w(5). Let u be ((-1)\/(-1) - 2) + g. Suppose 2*p**3 + 2*p**2 - u*p + 2*p**4 - 4*p**4 + 0*p = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 50*v - 2272. Give p(44).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 32, 0, -48, 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -25*w - 17 + 3 + 22*w - 8. Determine q(16).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, 2\/3, -0.21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -564 - -596. Let y = p + -290\/9. Sort y, 1\/22, -2\/17, 5.\nAnswer: y, -2\/17, 1\/22, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5915 + 5024. What is the thousands digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = o - 14*o. Suppose u - 55 = q, -2*q - 170 = -3*u + o*q. Calculate the remainder when u is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 163\/11 - (-4)\/22. Let r be 3\/u - (-139)\/5. What is the greatest common factor of r and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.3 (c) -135 (d) 0.07 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d8 (base 15) to base 12.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-10)*-5*4. Let p(k) = 4*k**d - 748 + 748. Let u(y) = -2*y**2. What is p(u(a))?\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 756.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2847114, -2847125, -2847136, -2847147, -2847158?\n\"Answer: -11*r - 2847103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1197 + -646. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -4.58334, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.991 - -23. Let f = t - 0.009. Let k = -0.0005 - f. Round k to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005703213 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.70657 millennia in decades?\nAnswer: 2470.657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**8\/840 + 3*r**7\/175 + 29*r**6\/300 - 27*r**5\/50 + 11*r**4\/15 - 1623*r**2 + r + 2. Determine w so that u(w) = 0.\nAnswer: -4, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3094 is divided by 167.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36549 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/120)\/((5 - 19)\/((160\/6)\/(-4)))?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*u = -12 - 23, -5*b + 45 = 4*u. Suppose -3*x - b*t - 20 + 221 = 0, 3*t + 153 = 2*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 1, -22 in descending order.\nAnswer: 10, 1, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 36.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**8\/112 + 4*l**7\/105 - l**6\/40 - l**5\/5 + l**4\/6 - 118*l**2. Factor z(o).\nAnswer: o*(o - 1)*(o + 2)**2*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 16*z**2 - 2*z + 194. Let c be x(-15). Sort -4, c, -9, -5, 5 in increasing order.\nAnswer: -9, -5, -4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y. Let x(d) = -9394*d**2 - 9939*d**2 - 1850*d**2 + 9647*d**2. Determine x(h(q)).\nAnswer: -46144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 5*p + 2. Let a be y(5). Suppose -v + a*v = 60. Suppose j - v = -3*j. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 433*d + 2061 = 442*d. What is the remainder when d is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6*w = 2*w - 2126, 5*w = -2*t + 2144. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 6:23 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.5 * 5.\nAnswer: 17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/37970064 and -105\/35860616?\nAnswer: 645491088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -27.3*1296.55\nAnswer: -35395.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 16*f**2 + 134*f - 87. Let d(c) = 7*c**2 + 67*c - 44. Let u(i) = 5*d(i) - 2*h(i). Let s be u(-23). Let l(t) = -t**2 - t - 9. What is l(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (47 + 10) - (-7 + -1)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/96 and 71\/17340.\nAnswer: 138720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + (32 + -22 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z + 157 - 127 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*(-1*(2 + 3 + sqrt(108)*-2*1) + -5))**2.\nAnswer: -8208*sqrt(3) + 18801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0675782 + 4349.\nAnswer: 4349.0675782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 2*o + 8. Let x be v(6). What are the prime factors of (8 - 8) + (1 - x)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -986633*q**3 - 2*q**2 - 25193*q - 1.\nAnswer: -5919798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 3*q + 4*q)*(-q + 0*q - q + (-4 + 3 + 7)*(130 - 24*q - 130)).\nAnswer: -292*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5 - 2*b + 4 + 5. Let f(g) = 6*g - 5 - 11 + 5. Let h(a) = -4*f(a) - 11*y(a). Let p(m) = m**2. Determine p(h(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 800\/(-30)*6\/(-4). Let m(x) = -5*x - 1. Let g be m(-1). Suppose -g*y + t = -0*y. Calculate the smallest common multiple of y and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 12. Suppose o*n - 96 = 14*n. Is (-3)\/n + (-7826)\/(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131906469.\nAnswer: 3, 701, 62723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 270559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - q - 43 = 0, -6*p = -2*p + 2*q - 106. What is the remainder when 119 is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-1) + 7 + -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 52, -19, -164, -389, -700, -1103, -1604?\nAnswer: -2209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 d when three letters picked without replacement from zzzdzzwzdzzzdd?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140052)\/21220*((-40)\/6)\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -449 + 488.2. Let g = -42.2 + f. Which is the third smallest value? (a) 1 (b) g (c) -2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -17909 + 3707. List the prime factors of s.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 * 477.\nAnswer: -16695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/103 <= 629\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59200 and 1728.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v - 8. Let q be s(-8). Solve 4*x = q, 4 = -n + x + 3*x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 + 4*q + 13. Let y(n) = 2*n + 1 - 2 + 5 + 2*n**2 + 2. Calculate 9*y(u) - 4*z(u).\nAnswer: -2*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33985\/135924 + -1\/33981. Let b = 0.011 - -0.123. Put 1, w, -0.3, b in descending order.\nAnswer: 1, w, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 77691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -149 - 2607?\nAnswer: -2755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**(-1\/2)*h)\/h))**(10\/3)\/((h\/(h\/(h\/(h*h**(-2\/3)))*h*h))\/(((h**(-1\/8)*h)\/h)\/h*h)))\/(h**7\/h**7)**22 assuming h is positive.\nAnswer: h**(149\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -16\/15 (c) 0.2 (d) -5\/2 (e) -1041 (f) 19 (g) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 350248411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69905 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4446515681 to the power of 1\/2, to the nearest integer?\nAnswer: 66682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1728)\/(-160))\/54*(-5)\/13.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(55)\/sqrt(5)) + sqrt(2) + -2 + -1 + sqrt(2) + 0)**2.\nAnswer: -18*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52.5 - -47. Let v = -0.7 + h. Round v to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361920510.\nAnswer: 2, 5, 43, 3167257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 5:50 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28335\/43 - -659. Which is greater: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17836 - 17766. Sort -4, i, -9 in decreasing order.\nAnswer: i, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 4*z - 6. Is 16 a factor of a(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 52746*o + 20 = 52743*o, 21 = -3*o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190080 and 1677600.\nAnswer: 221443200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (750\/4125)\/((-1)\/(-77)). Put 0, -126, l in decreasing order.\nAnswer: l, 0, -126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 3*m - 1. Let r be p(4). Let o(u) = u - 2 - 5 + 5. What is o(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08253213 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - -43 - (-7065)\/(-1099)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -45. Suppose -m - 3*y + 1 = 0, 1 = 4*m + 5*y + u. Let v = 8 + -4. Which is the second biggest value? (a) 5 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.04 + -67.04. Let v = -64.3 - g. Which is the third smallest value? (a) v (b) 2\/7 (c) 1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 3 - 3\/2*m**4 + 3\/10*m**5 - 6*m + 3\/2*m**3 + 3*m**2. Factor r(j).\nAnswer: 3*(j - 2)**2*(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-25947)\/90888 - (111\/(-168) - 54\/(-144)). Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2831\/133 + -21 + (1 - (-10)\/14). Solve -2*n = g*f - 7*f + 23, 5*f = 3*n + 22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17b7 (base 13) in base 4?\nAnswer: -313022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o - 268*o + 972542 = 0. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 + 3) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2 + 6. Suppose k*a - 56 = -v, v = 2*v - 4. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*f - f. Let o(s) = 5*s. Let t be o(f). Calculate the greatest common factor of 20 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/15)\/(8\/123). Let p = -512 + 523. Which is bigger: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21, -158, -403, -756?\n\"Answer: -54*t**2 + 25*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301470, 301472, 301474?\nAnswer: 301476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1305 and 1015?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20356990133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*n + n - 126 = 0, -5*n - 160 = -5*l. Suppose -436 - 1021 = -l*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8377 - 8376. Calculate the greatest common factor of 43 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 3:34 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -16336*z**2 - 4672090*z + 1716 = 0. Calculate z.\nAnswer: -286, 3\/8168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g + 12*g - 28*g)*(43*g - 32*g + 38*g).\nAnswer: -539*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -751, -759, -767, -775?\n\"Answer: -8*w - 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-4)*(-11)\/2. Suppose y*f - 16*f + 80 = 0. Let r(i) = 9*i**2 + 3*i. What is the remainder when r(-2) is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 439384 and 1048530.\nAnswer: 46135320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1328*t - 4470*t - 1024*t.\nAnswer: -6822*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4567*k - 4558*k - 26919. List the prime factors of k.\nAnswer: 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11711*p + 8*p**2 + 23425*p - 11714*p.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 253*c**2 - 3*c - 3. Let t be k(-2). Let q be -990*((-20)\/(-7))\/((-174)\/t). What is q rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -14*h**2 - 127*h - 18. Calculate x(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/6))\/i**(-7))**(-3\/7) assuming i is positive.\nAnswer: i**(-47\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5 + 2 - 3 + 0 - 4 + 3 - 1 - 1 + 4 - 4 + (-5 - 1 + 4)*(1 + 5 - 4) + 2 + 2 - 2 + 5 - 3 + 0 + 33 - 11 - 3)*(5*o - 9 + 9)*(-o**4 + 5*o - 5*o).\nAnswer: -85*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-216) + (-310)\/(-180))*-52\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367920463 to the power of 1\/3, to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/41*20\/(-372). Let u = y - -125989\/20336. Find the common denominator of 117\/14 and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -4*i + 10. Let k be -4 - (-4 + 9 + i). Let m be 6\/(-27) - (-20)\/9. Solve -2*h - k = 4*o - 3*o, m*o = -6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-511)\/56 - -9 - 5433\/(-8). Let f be ((-12)\/(-21))\/(18\/6111). Calculate the highest common factor of w and f.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7044 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21682258 to the nearest integer?\nAnswer: 4656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 23 = -5*a + 37, -a - 3*j + 12 = 0. Solve 0 = 4*r - 5*i + 16, 3*r - 6*r = 4*i + a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.11922 + 1448?\nAnswer: 1437.88078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -9*u - 3. Let n be b(-9). Suppose 3*p - n - 27 = 0. What are the prime factors of p?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 116 = 4*q, 14*q = 5*z + 11*q - 603. What is the remainder when 135 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 - (8 + (-2 - -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 39 (b) 1 (c) 1\/6 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*v + 68879457 = 0, v = -4*m + 3*v - 55103566. Let t = 8975891 + m. What is t rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 2*s**2 - 3*s + 2. Let h be y(-3). Let i(v) = -3*v + 15. Let x be i(4). Suppose 5*d = 2*b - 37, 3*b - 64 = h*d - x*d. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41759746 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1460 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 m when three letters picked without replacement from {r: 1, v: 3, m: 12, o: 4}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.2. Let c = -0.06 + 0.56. What is the closest to y in c, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5152859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 2 (c) -0.0176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 2) + (-157 - (-190 - -101))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122*g**2 - 4*g - 115*g**2 - 5*g wrt g.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d = -5, 3*d - 85 = -5*f. Suppose -4*j - 4*z = -f, 0 = -2*j - 2*z + 7*z - 11. Let w = 6.2 - 6. What is the second smallest value in 0.05, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116509067 to the power of 1\/2, to the nearest integer?\nAnswer: 10794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**2\/2 + 15*y + 5. Let a(h) = -h**3 - 3*h**2 - 3*h. What is the lowest common multiple of a(-2) and k(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 9 + -15 + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9926 - 9922. Which is the nearest to 377\/4? (a) -2 (b) z (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + p = -2*o - 68, -248 = -4*o - 4*p. Let z(f) = 147*f**2 + 2348*f - 30. What is the remainder when o is divided by z(-16)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(6\/5)*q)\/q**5*(q**(2\/19)\/q*q)\/q*q*q**(-7\/6) assuming q is positive.\nAnswer: q**(-2201\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 3\/4 (b) 4\/5 (c) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/13 + 2510*v - 1997872\/13.\nAnswer: 2*(v - 61)*(v + 16376)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 4:54 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6478 + 24876. What is the thousands digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18325 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2, 3\/7, 0.2, 0.06, -10.1, -29?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0 + (-2 - 1 + 4)*(2 - 3 + 2))*(-127*h - 121*h + 347*h) in the form n + q*h and give q.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.11 + 3.512. Let o = p + 4.598. Which is the biggest value? (a) 0.3 (b) o (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 1. Let s(o) = -90 - 702*o - 709*o + 2135*o - 624*o. Determine -180*p(f) - 2*s(f).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 303324952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/955485 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -74.\nAnswer: 9\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*t - 2*t + t + (3*t + 3*t - 4*t)*(56 - 229 + 57) to o*t + k and give o.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(27) + sqrt(3))**2 + -1 - (sqrt(4800) - (sqrt(4800)*-3)**2).\nAnswer: -32*sqrt(3) + 43248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + y + 2. Let a be ((-6)\/(-9))\/(6\/(-18)). Let q be p(a). What is the units digit of 12\/q*(15 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**16*l))\/(l**(1\/18)*l)*(l*l**3*l*l)**(-1\/5) assuming l is positive.\nAnswer: l**(-1643\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -3.98.\nAnswer: 6.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 = -2. Suppose -655 = -z*i - 0*i + 4*m, 1110 = 5*i - 3*m. Is i a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 3\/(-7)*5\/45*-3\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 309168 divided by -12882.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5*l + 2, 5*x - 3*l - 11 = 7. Suppose -5*s = -18 + x. What is the first derivative of 4*q**2 - s - 7*q**2 + 7*q**2 wrt q?\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 30*a**2 + 2*a - 2. What is the units digit of v(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -32.4. What is the closest to 3 in 1\/3, -0.1, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 + -80 + (96 - 86)) - 10.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5388 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/63 + 2\/(-14)*-29. Solve -4*l - 18 = q, 2*l - v*q - 4 = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9546 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - 2.03. Let t be 301\/105 + 2*4\/60. Let o be (1 - t)\/(1\/(-13) - 0). Are o and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1334 + -672. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q. Let g(x) = x**2. Suppose -4*f - 4*m = 32, -4*f - 27 = -13*m + 16*m. Determine f*g(u) + b(u).\nAnswer: -3*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 2:03 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**5 + 4*a**5 - a**5 + 2*a**3 - 2*a**3 + 3*a**5 - 3*a**5 + 2*a**2 - 2*a**2 + (3*a**4 - a**4 + 0*a**4)*(3*a - 4*a + 3*a).\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3 - 136*l**2 + 92*l = 0. What is l?\nAnswer: -46, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 439. Is 27 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2286 + -325. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-1))\/(2\/(-36)). Let j(o) = -o**3 + 12*o**2 - 21*o - 8. Let z be j(7). Let w = s + z. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/9 - 1690*m**2\/9 - 10202*m\/9 - 8510\/9.\nAnswer: 2*(m - 851)*(m + 1)*(m + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 692 and 4?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c + 14. List the prime factors of g(6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/120)\/((-7)\/(-728)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -461*g**6 - 929*g**2 - g?\nAnswer: -55320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -56, 68, 5 in descending order.\nAnswer: 68, 5, -2, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 z when three letters picked without replacement from {e: 1, s: 1, o: 2, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 5*p**2 - 8*p + 4. Let b(f) = f**3 + 4*f**2 + 8*f - 4. Let m(y) = 3*b(y) + 4*g(y). What is the units digit of m(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/((3\/(-18))\/(((-25)\/180)\/((-55)\/66)))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4855 + -0.0145. Which is the nearest to l? (a) 1\/8 (b) -2\/23 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.5 - -2. Let z be (-54)\/42 + 4\/14. Let q = 0.1 + 0.4. Which is the closest to z? (a) q (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 18*f**5\/5 - f**3 - 32*f + 62. What is the first derivative of d(g) wrt g?\nAnswer: 72*g**3 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 + 0) - -1 - (349 - 363).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3264 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -12*g - 156 + 306. Let m(r) be the third derivative of 1\/24*r**4 - 1\/30*r**5 + 0 + 1\/6*r**3 + 0*r - 22*r**g. Determine w so that m(w) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.67 (c) -1194 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5, -240, -929, -2284, -4527, -7880, -12565, -18804?\n\"Answer: -37*q**3 + 14*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81208 is divided by 40603.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*g + 22 + 24 + 175*g - 127 + 29 to d*g + v and give v.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30956 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1004246678 - 2352.7\nAnswer: -2352.8004246678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 - 61*v**2 + 9*v**2.\nAnswer: -44*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 1220330?\nAnswer: -1221003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 126169 smaller than -0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -12. Let w(a) = 3*a + 1. Let s be w(c). Suppose -3*t = -q + 13, s*t + 63 = -5*q + 223. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - 2*m**2 + 1. Let l(x) = -x**2. What is -l(d) + y(d)?\nAnswer: 2*d**3 - d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -61592000 to the nearest one million.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -16, -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 73 = 4*f + 119, 3*f + 30 = 3*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 715321159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -209, -287, -389, -515, -665, -839?\nAnswer: -1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16996851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*y - 18 = 0, -154*n + 3*y = -149*n + 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9085124.\nAnswer: 2, 2271281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1795 or -1792?\nAnswer: -1792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5545 is divided by 211.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 281*m**2 + 2529*m - 1. What is x(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -21*d**2 + 11*d + 11. Let t(c) = -c**2 + 2*c + 1. What is -k(m) + 6*t(m)?\nAnswer: 15*m**2 + m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3 = 4*a. Let f(b) = 1 - 2 + 2*b**2 + 2*b - a*b**2. Let z be f(1). What is z rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47686 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + -3*sqrt(19) - (-2 + sqrt(38)\/sqrt(2))**2 - (sqrt(304) + 2 - (sqrt(228)\/sqrt(6))\/sqrt(2))**2) + 1.\nAnswer: -196 - 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (11 + 1)\/4. Solve u*w = 5*f + 4*w + 3, 5*f - 5 = 5*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (1 + 18) - -3. Let r = 10 + o. List the prime factors of (-26 - -1)*24\/r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2877.95 + -2878. Which is the third smallest value? (a) y (b) -3 (c) 1\/7 (d) 0.5 (e) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 2*q + 5*q**2 - q**3 + 2*q - 5. Let d be p(5). Suppose 0 = 3*b - 4*m - 49 - 0, 0 = 5*m - d. Calculate the remainder when b is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-22)\/10 + 1)\/(24\/400). Calculate the common denominator of s\/132*(7 - (-1 + 2)) and -49\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/16)\/d**(-7))\/(d**14\/(d*d*d**(-2\/3))))**(4\/13) assuming d is positive.\nAnswer: d**(-275\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 173*w**2 + 62*w wrt w.\nAnswer: 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 5*k - 2*y - 112, -3*k + y = -31. What is the remainder when 176 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47386 - 2.189714.\nAnswer: 47383.810286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 106349 or 319051\/3?\nAnswer: 319051\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 + -60. Solve s*t + 5 + 4 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 43, 191, 413, 709, 1079, 1523, 2041?\n\"Answer: 37*a**2 + 37*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2652.404um to meters.\nAnswer: 0.002652404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**3 + u**3 - 3*u**3)*(-28*u + 5*u - 15*u) + (0*u**3 - 4*u**3 + 3*u**3)*(24*u + 0*u + 35*u).\nAnswer: -135*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63566 and 18?\nAnswer: 572094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(-6*v + 4*v + v) + v + 6*v - 6*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -265, -958, -1651, -2344?\n\"Answer: -693*o + 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 24. Determine w(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28755411*g - 2007481?\nAnswer: 28755411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20192 (base 13) to base 9\nAnswer: -86668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 756.880307365 plus 0.11?\nAnswer: 756.990307365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1649\nAnswer: 329.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 less than 211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*((-10)\/8 + 0). Suppose -142 = -t - 17. Let v = -118 + t. Solve 4*q - 21 = d, n*q = 4*d + v*q - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/4 - 4) + (-60)\/8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/24)\/(23075\/(-1278) + 18).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -493262, -986539, -1479832, -1973147, -2466490?\n\"Answer: -g**3 - 2*g**2 - 493264*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38668, 38662, 38654, 38644, 38632, 38618, 38602?\n\"Answer: -o**2 - 3*o + 38672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8247672 divided by -24\nAnswer: 343653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149707 is divided by 7023?\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 5\/9, -19, 3, 54.5?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, i: 2, g: 4, a: 4}. What is prob of sequence iwg?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**2 + 38*w + 178. Calculate v(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 103, 6, -154, -5, -0.1?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12609?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00776 to 4 dps.\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 7*l**2 + 10*l + 18. Let t be g(-8). Solve -6*y - 3 = -2*h - y, -4*h + t*y = 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(612) + -1)*-6*-3.\nAnswer: -90 + 540*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7ec9 - 4b?\nAnswer: -8025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 171910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = -3*h + 2*h, 3*p = -2*h - 4. Let f = -924 + 960. Calculate the highest common divisor of h and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 19 - 9\/(9\/(-2)). Suppose a = -1 + i. Let t be 2\/(-10) + 4644\/a. What is t rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (52\/(-1))\/(-1). Let k be (-10)\/25 + g\/(-15). Suppose -i + k*i - 1114 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 2, 3\/8, -4, -298?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309296501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9*(20\/2 + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2211.341 micrograms?\nAnswer: 2211341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572*j = -577*j + 600. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 4. Put -0.3, 1\/9, m in decreasing order.\nAnswer: m, 1\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 1607 - 1556 = 5*a, 2*c = 5*a - 66 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159186 and 258.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 45 - 35 = 0. Suppose -25*z + 755 = -c*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15969493\/176 + -90736. What is the common denominator of 109\/28 and h?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**3 + 6*n**2 + 6*n + 10. Let u(x) = 4*x**3 - 7*x**2 - 7*x - 11. Let w(i) = -7*o(i) - 6*u(i). What is the derivative of w(h) wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -21280301 and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 25*r + 132. Let o be b(6). Let w = -210 + o. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454382429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 2:16 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -667, -2701, -6103, -10873, -17011, -24517?\n\"Answer: -684*i**2 + 18*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 64*r - 60.\nAnswer: -4*(r + 1)*(r + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 47*a. Let k(q) = 79*q**2. Give k(w(v)).\nAnswer: 174511*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3065 <= 20221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3 + l**2 + 5*l**3 - 3*l**3 - 3*l**3 + l**2. Let p be q(0). Find the third derivative of 0*z**3 + 20*z**2 + 9*z**2 + 12*z**p wrt z.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.27534 weeks to microseconds.\nAnswer: 56412925632000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06245 to three decimal places.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-3\/4)\/h)**(-2))**(-1\/17) assuming h is positive.\nAnswer: h**(-3\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 p, and 1 n when four letters picked without replacement from {u: 3, b: 1, p: 4, j: 2, n: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*s**2*t**2 + 265132*s**2 + 3585*t**2 + 6*t - 6 wrt s?\nAnswer: -54*s*t**2 + 530264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*k**2 + 9288*k**4 + 19*k**2 + 197*k**5 - 9288*k**4 wrt k.\nAnswer: 11820*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/24 - (-24 - (-13717)\/696).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-246)\/(-30) - (-1)\/(-5). Let u = c + -4. Let j = -166\/3 + 56. What is the closest to -1 in -4, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*l + 2, 0*l + 8 = 4*t + 5*l. Let j be 3 + -1 + t\/(-2). Let z be (-6)\/6*2\/(-10). Is z greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3660 is divided by 1802.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**3\/3 - 3*k**2\/2 + 3*k + 22. Let g be q(-2). Solve -2*m + 6 = g*h, -3*h - m - 2*m = -9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4)*(-169*d**2 - 169*d**2 - 156*d**2)*(13*d + 8*d**3 - 13*d).\nAnswer: -7904*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4*t - 14. Let p = t + -5. Let f be -4 + 3 + 46\/p. What is the greatest common factor of 154 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17576189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 737 and 268?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 5, 26, 2.32, -56.3?\nAnswer: 2.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-35)*(-133)\/(-342)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3*(-4)\/(-180)). Let k(g) = 14 - 29 + b + g. Let j(i) = -3*i**2. Calculate k(j(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46495733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 7. Let k be (-20)\/(-2) - (-1 + 2). Let v be p(k). Let o(g) be the third derivative of g**4\/24 + g**3\/6 + g**2. What is o(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 + 44*h**2 - 116*h + 22. Give w(11).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22592 divided by -32\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 2. Let o(c) = c**3 - 12*c**2 + 2. Let r be o(12). Let b(p) = 188 + r*p - 188. Give h(b(x)).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(15)\/sqrt(3) - sqrt(5))**2 - sqrt(25)\/(sqrt(5)*-2).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 6:49 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2136 - -0.9.\nAnswer: 2136.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Let v = -1.06 - -0.06. Which is the nearest to -1\/3? (a) o (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21*(-4)\/(-24)*10\/14\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(5\/7)*b)**(2\/7))**(-13\/8))**(-1\/12))**(-12) assuming b is positive.\nAnswer: b**(-247\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 10. Let o be (36\/(-21))\/(l\/14). Let z = 0 + o. Calculate the remainder when 11 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 19 (b) -1\/8 (c) -4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((18\/(-16))\/(-1) - 1) + (-2252952)\/(-832) is divided by 129?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114619400 rounded to the nearest 100000?\nAnswer: -114600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 <= 1334234\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + 4. Let j be d(-2). Let m(a) = 2*a**2 + 2*a + 100. Let y be m(j). Calculate the highest common factor of y and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83.912 + -84. Let m = 0.112 - u. Which is the nearest to -7? (a) 1 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 5, -27, -93, -205?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*m**2 + 3 + 29*m**2 - 3.\nAnswer: 99*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 180*o**2 + 18688*o + 11148.\nAnswer: 4*(5*o + 3)*(9*o + 929)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 9*f**2 + f + 21. Let i = -108 + 3. Let s be i\/(-12) + (-9)\/(-36). What is the units digit of c(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11835 = -7*l - 3344. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -436 + 459. Calculate the remainder when c is divided by 23.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -41. What is the tens digit of a\/(-12) - 125\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1295.3 + -1295. Let i = -9496375 - -9496374.70000004. Let d = u + i. Round d to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -13558*a + 162716. Determine z(12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.4 + -8. Let j = -0.3 - m. Let g = -0.1 + j. What is the second smallest value in 1, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49904395*t - 92604650 wrt t?\nAnswer: -49904395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 534 = 546 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11418.991521 - 11419. What is c rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9292.3992 hours to weeks.\nAnswer: 55.3119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.12633 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 258230.\nAnswer: 1\/129115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 58717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 238.5 - 239.1. Which is the nearest to -17? (a) 5 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150540983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5726761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1391 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5708 and 0.837.\nAnswer: 5708.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*q**2 + 0*q - 1\/7*q**3 + 1\/7*q**4 + 0.\nAnswer: q**2*(q - 2)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 38359936.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15743 + 1563?\nAnswer: -14160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.1 + -0.9. Let x(q) = q**2 + 4*q - 1. Let c be x(-3). Let y = -36 + 38. What is the closest to -1\/4 in y, c, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 769443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70.4 - 32.4. Which is the closest to 2? (a) 0.5 (b) x (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -367*p + 570*p + 620*p + 55*p as q*p + i and give q.\nAnswer: 878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 416.3 - 439. Let v = f + -24.5. Round v to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/16*(-416)\/156. Suppose 3*v + 12 = -3*o, -5*v + 5 + 0 = 0. What is the closest to 1\/3 in o, -2, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-2*m - 5 + 5) + 5*m - 4*m + 2*m + 2 - 2 - 2*m - m + 3*m - 4*m - 2*m + 3*m + 5*m - 10 + 10 + m + 2*m - 2*m - m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 128501025 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z - 7*z - 5*z**2)*(3*z**2 - z**2 - 5*z**2 - 2).\nAnswer: 15*z**4 + 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c**(-2\/15)\/c)**(-27)\/((c**3*c)\/c**2*(((c*c\/c**0)\/c)\/c)**(-19)) assuming c is positive.\nAnswer: c**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30\/(-90)*-1*7821 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33080 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -5*z + 3*t, z + 22 = 5*t. Let q(x) = 7*x - 1. Let v(c) = -20*c + 3. Let b(h) = z*v(h) + 8*q(h). Give b(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*v = -3*v + 2, -6 = -3*b - 2*v. Solve -b*x + 0*x = -8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86047 - 12\nAnswer: -86059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 29*g**2 + g - 141. What is a(29)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -59044.586 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 = -3*u + 4*u, 5*u - y = 13. Find the third derivative of -2*p**3 - 140*p**2 + 74*p**u + 77*p**2 wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.2 (c) 13\/22 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 142729439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2236)\/16 - (-1)\/(-4). Let g be (u\/6)\/(6\/(-63)). Suppose g = 3*c + 2*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 916.2 + 3297.8. Let y = -4230.91 + c. Let p = y + 17. Round p to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -f (base 16) to base 10\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -47) + 13 + (-5 - (-1 + -4))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11372.17 milliseconds to microseconds.\nAnswer: 11372170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0. Let x be 2\/8 - (76\/(-16) - -1). Suppose -2*o + 3*o - 5*r - 45 = 0, x*r - 80 = -5*o. Are q and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 2\/3*f**3 + 4*f + 0 - 3*f**2 - 1\/12*f**4. Calculate d(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380713 - 380626 = -108*o - 24563. Is 24 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 18. Let k = m - 19.9999994. Round k to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 17\/5, 1\/7, -0.04, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x + 2. Let h(a) = -2*a + 3. Let q(s) = -s**3 + 30*s**2 + 29*s + 65. Let g be q(31). Calculate g*h(v) - 4*r(v).\nAnswer: 6*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-5 - -14 - 0 - -10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2)*w**3\/w)\/(w**(-1))**(6\/17) assuming w is positive.\nAnswer: w**(91\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 - 10*m + 16. Let k be z(5). Suppose -x = 5*d - 39, 4*d = -4*x + 58 + k. Calculate the greatest common factor of x and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 11*n**2. Let t(c) = -6*c**2 - 5*c. Let z(y) = 3*y**2 + 2*y. Let w(b) = -2*t(b) - 5*z(b). What is l(w(k))?\nAnswer: 99*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174 + -461. Let n be (w\/21)\/(1\/(-3)). Let q = -9 + n. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 104*j - 2. Let h be y(-9). Let s = h - -1609. Suppose 2*a = 5*p - 1101, -2*a + s = 3*p + 2*a. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087252 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10471 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 13*r**2 + 36*r - 110. Is 13 a factor of z(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 621520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 208*w**2 + 8*w. Let r(i) = -209*i**2 - 10*i. Determine -3*o(g) - 2*r(g).\nAnswer: -206*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194 = 73*n - 268 - 560 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*j - 1647 = 0, 3*j - 309 = 4*s - 1645. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1165188 to the power of 1\/2, to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13967 less than -0.4?\nAnswer: -13967.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -27*s**3 - 194*s**2 + 11. Let g(c) = 16 + 10*c**3 - 20 - c**3 + 65*c**2. Let w(b) = -11*g(b) - 4*q(b). Find the third derivative of w(h) wrt h.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 21783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgb when three letters picked without replacement from bgqb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 0*m = -13*f + 21*f + 35, -4*f + m = 45 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*b**2 + 16 - 16 + (-2 + b + 2)*(4*b - 7*b + b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(99) + (4*(sqrt(99)*1 + sqrt(99)) - sqrt(99))**2) + 4.\nAnswer: -29102 - 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 11 (b) 12 (c) -0.0576 (d) -197\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 18*u**2 - 21684992*u - 4818888 = 0?\nAnswer: -2\/9, 1204722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*j = -v + 51*j - 4, -4*v - 2*j - 36 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*f + 24 - 522 = 0. Calculate the least common multiple of f and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -312*m**2 + m + 1. Let z(w) = 936*w**2 - 3*w - 4. Let d(v) = -11*j(v) - 4*z(v). Let a be d(-5). What is a rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -13. Let s(d) = 2*d + 28. Let x be s(z). Solve x*m - 5 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + (-35 + 21 - 6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15000034 + -0.15. Round k to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 828, 829, 828, 825?\n\"Answer: -p**2 + 4*p + 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 11 = 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -0.5, -45.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c. Let y(a) = 53*a**2 - a - 5. Give f(y(j)).\nAnswer: -53*j**2 + j + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**3 - 13*g**2 + 12*g = 0?\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**7\/105 + 2*m**3\/3 - 3*m**2\/2 - 2. Let f(w) be the second derivative of b(w). Find the first derivative of f(k) wrt k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -576 - 199. Suppose -9*p + x = -7. Calculate the smallest common multiple of 34 and p.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3864?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640483508?\nAnswer: 2, 7, 3267773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -997*b + 12554 = -2401 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1442523 (base 6) to base 15.\nAnswer: 19b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, -3, 0.7, 2\/5, -13, 72 in decreasing order.\nAnswer: 72, 1.5, 0.7, 2\/5, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 293 - 298. Let q = -6.15 - -0.15. Let u = q + 6.12. Which is the third smallest value? (a) -0.5 (b) t (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 2. Suppose -4*f - 15 - 5 = 0. Give s(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 18*u - 440238 + 33790. Is 56 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, w: 5, j: 3, e: 3}. What is prob of sequence jejj?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10566, -21130, -31684, -42222, -52738, -63226, -73680, -84094?\nAnswer: -94462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56.4006222 + -8924.\nAnswer: -8867.5993778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -77*q + 79*q. Let s = -39 - q. Let k be 10\/5*-2 + -1 + s. Which is the third biggest value? (a) 3 (b) -2 (c) k (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.4053574 and 914?\nAnswer: 915.4053574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15806276.\nAnswer: 2, 29, 136261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 1:58 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 1)*(-35*u**2 - 64*u**2 - 262*u**2).\nAnswer: -361*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**2*w**3*z**3 + 101*i**2*w*z**3 - 4*i**2 + 340*i*w**4 + i*w**2*z + i*w*z**3 - 4*w**4 wrt w?\nAnswer: -6*i**2*z**3 + 8160*i*w - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/9 and -35\/523633?\nAnswer: 4712697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2353 is divided by 479?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfmmmjfmmmmmmfmm. Give prob of picking 4 m.\nAnswer: 99\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18973575 to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -1323 - -1328. Solve 13*l = -b*l - 54 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 434 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*(1 + sqrt(1088)).\nAnswer: 2 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c = 40. Let a be c - 2 - (1 + 3). Let x(l) = 16*l**3 + l - 5*l**a + 0*l + 0*l - 15*l**3. Calculate x(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 39.6. Put 4\/31, q, 5 in ascending order.\nAnswer: q, 4\/31, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*a - 6, 3*z + 2*a - 11 = 0. Let 1 - 360*l**5 - 1 + 840*l**2 + 720*l + 70*l**4 + 365*l**z + 0 + 365*l**5 = 0. Calculate l.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 36*c - 68. Let s be u(39). Suppose -4640 = -s*v + 9*v. What is the highest common divisor of 522 and v?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 24 + 6. Let b = d + 2. Let h(t) = t**2 + 6*t + 5. Calculate h(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - 21*m + 72. Does 38 divide b(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(684) - (2 + -1 + sqrt(684)) - -2*(sqrt(19) + sqrt(304) - sqrt(19))*-4) + 0)**2.\nAnswer: 192*sqrt(19) + 19465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/13)*j**6)**25 assuming j is positive.\nAnswer: j**(2325\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 284 and 2?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102273*d**2 + 4*d + 4858?\nAnswer: -204546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 30 + 80 = 0. Solve 0 = 5*i - 2 + a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12936 + -181025\/14. What is the common denominator of q and -107\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 1:39 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(228)*1)\/sqrt(12)*3.\nAnswer: 2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**5\/4 + 27*u**4\/4 + 15*u**3 = 0. Calculate u.\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(6\/1 + -3)*-2. Let q = -59\/40 - -15\/8. Let s = -16\/15 + q. Is c greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 572 and 3688152.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 6.6. Let a = g - 0.5. Suppose i - 13 = 3*y + 3, 0 = -3*y + 5*i - 20. What is the nearest to a in 0.02, y, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39997 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3190981079 to the nearest integer?\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, 3, 929, -3, -392, 1 in descending order.\nAnswer: 929, 9, 3, 1, -3, -4, -392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*o - 19 = 0, 18*o + 12 = 21*o. Suppose -843 = -4*k + b*f, 3*f = 2*k + 258 - 681. What is the remainder when k is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -n + 21, 3*h - 4*n + 10 = 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - y - 24. Let k be o(0). Let a = k + 26. Solve -4*w + 2 = a*t, 5*w + 3*t - 2 = -0*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-1 - 2)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 6*h - 4*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4185, -0.039, 0.2 in ascending order.\nAnswer: -4185, -0.3, -0.039, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1389236?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 5. Let h be i(-9). Suppose -4*g - g - 15 = 0, 11 = h*a - g. Solve 0 = a*u - 3*u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 168 - 92 = 0. Suppose -3*v + 11*w = x*w + 70, 5*w = -2*v - 32. Sort 2, 5, v in descending order.\nAnswer: 5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l - 10 = q + 18*l, -15 = -3*l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4872\/580)\/((-72)\/(-30))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151122*o - 5787 = 150479*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 - 6*z**3 - 5*z**3 + (0 + z**2 + 0)*(-111*z - 229*z + 112*z))*(-2*z**2 - 2 + 2).\nAnswer: 468*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 0 - 16*i - 28*i**2 + 7*i - 2*i**4 - 2*i**3 + 10*i to w*i**4 + n*i**3 + g*i + r + t*i**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 4*f**7\/21 + f**5\/10 - 5*f**4\/6 - 13*f**3\/6 + f + 46. What is the third derivative of r(p) wrt p?\nAnswer: 480*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11737 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157.3 + 735435088.77.\nAnswer: 735435246.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 4*j**2 - 3*j. Let k be u(-3). Suppose k = -191*b + 196*b - 23015. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r + 1. Let x = 39 - 30. Let h(n) be the third derivative of n**6\/120 - 17*n**4\/24 + 5*n**3\/6 - 1538*n**2. Give x*k(a) - 2*h(a).\nAnswer: -2*a**3 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10025851 to the power of 1\/2, to the nearest integer?\nAnswer: 3166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -22773 + q**2 + 45516 + 2*q - 22768. What is g(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**5 - 3*z**4 - 3*z - 3. Let a(f) = -10*f**5 + 5*f**4 + f**2 + 5*f + 5. Let k(t) = -3*a(t) - 5*x(t). What is the third derivative of k(g) wrt g?\nAnswer: 300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -363264*k**2 + 9*k - 1. Let z be h(-7). What is z rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93840303?\nAnswer: 3, 31280101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60999758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {e: 1, j: 2, v: 3, f: 9, x: 3}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = 4*t - 0*t, -2 = -4*w + 2*t. Let b(f) be the third derivative of f**2 - 1\/60*f**5 + w*f + 1\/6*f**3 + 0*f**4 + 0. Factor b(i).\nAnswer: -(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from cnyyynye.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 832 + -313. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3736 = -552*r - 680 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1813*l - 6269 + 1246 - 14028 = 71599 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:48 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 8:21 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1060*f**4\/3 + 366412*f**3 - 29253188*f**2\/3 + 9242564*f + 425200\/3 = 0. Calculate f.\nAnswer: -1063, -4\/265, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.24 equal to 19.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*v + 52*v = 3704 + 1882 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4\/8*(1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 5*n + 6 = 0, 4*n = 5*m - n - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349*x + 336*x = -6708. Suppose 0 = x*b - 522*b + 21534. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34830 = -97*p + 742*p for p.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7902231.73 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 - (4 - 5 - -5)\/((-15)\/(-165)). Let r(i) = i**3 - 3*i**2 - 4*i - 5. Let x be r(4). Sort u, x, 1 in ascending order.\nAnswer: u, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 19*n - 242. Let l be a(28). Let h be (1\/3)\/(2\/12). Solve 0 = h*x - l, -15 = -7*t + 2*t - 3*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388*n = 5*b + 389*n - 1537388, -4*b + 1229917 = 3*n. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57367064 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2233 or -2219?\nAnswer: -2233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(-92))\/(10\/40)*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 110*j - 544. Give t(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3119 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*i - 47*i - 39. Calculate the remainder when 154 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -15*w**2 + 40*w + 7. Determine a(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59668273 to the power of 1\/2, to the nearest integer?\nAnswer: 7725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1870)\/(-40) - (-6)\/(-8). Suppose 12*u = 9*u + m - 26, -3*m = -5*u - p. Which is the nearest to u? (a) -5 (b) -1 (c) 0.3 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 5*g**2 + 5*g + 1. Determine r(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*z + 11*z + 8*z to the form q + t*z and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 4*q. Let a(i) = -4*i**2 - 7*i. Let k(p) = 4*a(p) + 7*r(p). Let y be 2 + 3 - (0 + 1). Let d(o) = 2*o - y*o - 2*o. Determine k(d(u)).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 159194583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -122119*a - 732714. Give t(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.63, -2, 1\/5, 4, 30 in increasing order.\nAnswer: -2, -0.63, 0.1, 1\/5, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 14*h + 2. Let g be s(14). Let t be -2 + -3 + g + 2. Let k be t + -1*(-1)\/(-3)*9. Let y(l) = -2*l**2 - 6*l - 1. Give y(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 29*w - 93. Let y be t(-7). Solve 0 = 8*p - 69 + y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030989 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-98))\/(2\/7)*8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.7 - 17. Let g = 0.6 - z. Suppose -5*l + 5*b + 15 = 0, -3*l = 5*b - 2*b - 15. What is the smallest value in -2\/3, l, g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h - 3*h - 7*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t = -3*i + 231, -1078*t + 1062*t + 3*i = 2*i - 303 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38970571 to the nearest integer?\nAnswer: 6243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.766431 - -7802111.\nAnswer: 7802105.233569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m + 98. Calculate y(-35).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.024 * 54591\nAnswer: 1310.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d + 4. Let l(z) = -2*z - 3. Let b be 6*((-78)\/(-12))\/(-13). What is b*p(w) - 4*l(w)?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 641, 1231, 1749, 2195, 2569, 2871, 3101?\n\"Answer: -36*h**2 + 698*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**3 - 2585*a**2 - 279270*a + 3714840 = 0. Calculate a.\nAnswer: -102, 12, 607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 6*r**2 - 3*r + 2. Suppose 3*y = -4*u - 31, -3*y + 5 = 5*u - 8*y. Calculate m(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -27. Sort 0.3, m, -5, 2 in decreasing order.\nAnswer: m, 2, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1 + 7*i - i - 3*i. Let h(d) = d**2 - d - 1. Let u be h(2). Let o be s(u). Calculate the greatest common divisor of o and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4106 times -2.6?\nAnswer: 10675.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*w**2 - 137*w**2 - 141*w**2 - 160*w**2 + 694*w**2 - 141*w**2.\nAnswer: -43*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1.7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(16) - -3*(sqrt(17) - sqrt(272)))**2 + (sqrt(85) - (sqrt(85) - sqrt(85)*-3*-3))\/sqrt(5).\nAnswer: 9*sqrt(17) + 4913\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8)*(-2)\/3*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2205\/(-102900))\/((-2)\/(-10)).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3573375255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 0.4. Let h(x) = x + 11. Let u be 8 + -17 + 3\/((-3)\/(-2)). Let r be h(u). Which is the third smallest value? (a) 5 (b) f (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 118*n = -58*n - 61*n + 19, -2*n = -15*p + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 18*x - 767. Give f(43).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 728 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 1905.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c - 15. Let u be m(5). Let h = -2 + u. Suppose h*a - 9*a + 30 = 0. Solve -a*v + 22 = 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1 + 2 + 3*a - 4 - a**2. Let j(c) = -c**2 + c - 1. Let k = 15 - 16. Calculate k*z(w) + 3*j(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-5))\/((-18 + -6)\/(-8)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24407 + -24407.1. Sort -0.2, h, 4, 112 in descending order.\nAnswer: 112, 4, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -4, 8, 4\/5, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 1122360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-15)*46170\/3591.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00658604 to 5 dps.\nAnswer: 0.00659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -25*n + 128. Let s be 86\/108*6 + 12\/54. Determine j(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252a74 (base 13) to base 5.\nAnswer: 212012240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 953555511 to the nearest integer?\nAnswer: 30880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 20, 3*l - 29 = 4*q - 2*l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, 0.3, -1\/6011, -2\/5, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**6\/120 - p**5\/4 + 17*p**4\/24 - 7*p**3 + 12*p**2 - 41. What is v(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.3 + 29. Let m = z + -6.7. Let o = 5.4 + m. Which is the second smallest value? (a) o (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/4500 and 97\/500.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 501 = -81 + 846 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100*f*k**4 + f*k + 3*f - 2*k**4 - 423*k**2 - 6668 wrt k.\nAnswer: -1200*f*k**2 - 24*k**2 - 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f = -36*f - 474 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**5\/11 - 12*o**4\/11 + 54*o**3\/11 = 0.\nAnswer: -9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -739849.\nAnswer: 369924.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 0*g**2 - 4*g - 1\/70*g**7 + 0*g**3 + 0 + 3\/100*g**5 + 1\/20*g**4 - 1\/50*g**6. What is o in s(o) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3401 - -3400.99. Which is smaller: 35 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 119*z - 63 = 117*z, 32 = 2*u - 2*z for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v - 33*v = 1. What is the common denominator of -59\/18 and 81\/48 + 4 + v?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1571304?\nAnswer: 2, 3, 7, 47, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrcrrrrcrlprrr. What is prob of sequence lcrp?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 175b (base 12) to base 13\nAnswer: 137c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-64)\/(-34) + (-10)\/(-85). Suppose 1207 = 4*c + v, -2*c - i*v + 596 = -0*c. Let u = c - -7. What is u rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21\/235 + 137\/19505. Is m < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/(-10))\/(6\/(-528)). Suppose 53*r = i*r + 1611. Suppose 2*z + 2*h - 3*h = 71, -3*h - r = -5*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21482)\/934)\/(3\/(1 + 2))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -646\/39 less than or equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 3:26 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 23292030?\nAnswer: 23292030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 6:48 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 3*i)*(-16*i + 25*i - 6*i)*(1 - 1 - 4*i) in the form v*i + z + u*i**3 + f*i**2 and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 5457?\nAnswer: -5457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176995?\nAnswer: 5, 7, 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8195.033 years?\nAnswer: 98340.396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 11*m**2. Let z(o) = 16*o**2 - 12. Let q(p) = p**2 - 1. Let y(a) = 12*q(a) - z(a). Give g(y(u)).\nAnswer: 176*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 (base 12) in base 8?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12640368\/7 != -1805767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -30537 divided by 351\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 - 4 = s, -5*s + 1 = 3*p. Let f(k) = -112*k - 111*k - 6*k**p + 223*k. Let w(y) = 26*y. Determine w(f(t)).\nAnswer: -156*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqdm when four letters picked without replacement from {q: 1, d: 2, m: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y = -5*l + 10, -5*l - y = -4. Put -36, -1, l in ascending order.\nAnswer: -36, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492800?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**8\/84 - 2*f**7\/5 - 19*f**6\/15 + 2*f**5\/15 + 13*f**4\/2 + 38*f**3\/3 - 4*f**2 + 106*f. What is k in p(k) = 0?\nAnswer: -19, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 - 4*l**2 + 8*l - 74. Let v be o(4). Which is smaller: v or 520\/23?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 665430.8 millimeters to nanometers.\nAnswer: 665430800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 12*z + 28. Let i be g(-12). Calculate the greatest common factor of i and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*(sqrt(1300) + 1) - 2*(sqrt(1300) - 1*sqrt(1300)))**2.\nAnswer: 320*sqrt(13) + 20814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2233540.\nAnswer: 2, 5, 181, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/20*3120\/(-3315).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - y - 13. Let a be i(-4). Let f be 20 - a\/(-3 - 2). Solve -4*l - b + f = 4, -3*b - 15 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2701836946 take away 794?\nAnswer: -2701837740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1209*c - 30311 = -86 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 464801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 4*j + 74. Let n be o(8). Suppose 52073 + 5215 = n*k. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30516660 and 64296?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(130) - (-5*sqrt(130) + sqrt(130))))\/((sqrt(50) + sqrt(100)\/sqrt(2) - sqrt(50))\/sqrt(5)).\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfyf when four letters picked without replacement from {f: 3, y: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -6 (c) -8\/187 (d) 0 (e) 5 (f) -9\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11495, 23240, 34985, 46730, 58475?\nAnswer: 70220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 54*a**2 - 24*a + 1563. What is the remainder when y(-53) is divided by 17*-1*(-3)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 0)*4 - (sqrt(1584) + (sqrt(1584) + 5)**2 + 5).\nAnswer: -1614 - 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/27 - (0 - 4)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8031\/2 + -4050. Calculate the common denominator of ((-22)\/(-20))\/(4\/70) and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20943108 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(110)*-2)\/(sqrt(10) - (1*sqrt(640) + sqrt(10))) - (sqrt(88) + (sqrt(88) + sqrt(88) + 1*sqrt(88) - sqrt(88))*3)\/((-2*sqrt(96))\/sqrt(12)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 13*q**5\/5 - 11*q - 15. What is the derivative of j(n) wrt n?\nAnswer: 52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79038967 plus -27104?\nAnswer: 79011863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -5*o**4\/12 + o**3\/2 + 2*o. Let q be n(2). Let l = -7 - q. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 1933923.\nAnswer: -13537461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 10*o**2 - o + 6. Let i be m(-10). Suppose 0 = 2*a - 11*c + i*c - 18, -4*c = -8. Put 2, a, -8 in ascending order.\nAnswer: -8, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u = 24*u + 150. Let l be -12*12\/u + 1\/(-5). Sort l, -3, 5 in descending order.\nAnswer: 5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 184\/(-460)*5\/14\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 179 - 177. Let q = 215 - 205.04. Let v = -10 + q. What is the closest to 2 in 0.1, z, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 867632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-3)\/1)\/6)*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -463, -455, -445, -433?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 222*a**2 + 1130*a - 14. Give y(-5).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -1915*i - 76628. Determine p(-40).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 8*f - 12 = 4*d, 2*f - 3*d = 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/547929 and 40\/44999.\nAnswer: 9314793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6829 - 10027 = -78*i for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 105270 divided by 1815\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2 - 1) + 172\/60 and (9 - (-749)\/(-84))*29.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33099.45 millilitres to litres.\nAnswer: 33.09945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-58) - 0) + 842065\/(-49735).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/220)\/((-380)\/836)*125?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a + 20 = 0. Let m(h) = -4 + 2*h**2 - a*h**3 + 508*h - 508*h. Let u be m(-2). Calculate the greatest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55 - -26 - 5) + -1 + 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2521*y**2 + 2518 wrt y?\nAnswer: 5042*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3, 3*j - 2*j + 2*c - 22 = 0. Suppose j*u - 20*u = 256. Let p = 104 - u. Calculate the greatest common divisor of 21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (135\/(-135))\/(1\/(-548)).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 + -80. Suppose k - 24 = -q. Suppose 2*t + 3*y = k, 8 = t + 2*y - y. Solve 0 = 2*b + b + t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*t - 124 + 54*t + 126)*(2 + 0 + 2).\nAnswer: 476*t + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*(5 + (5 + sqrt(114)\/sqrt(6) - (sqrt(76)\/sqrt(4) + -4))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 13*q**2 - 21*q + 119. Is 4 a factor of i(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 34*t**2 + 68*t - 531. What is v(16)?\nAnswer: -4051","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29\/3 + 61\/6. Let t = -2949\/13 - -227. What is the closest to u in -0.2, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 + -147 + -12 + -12?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 183774292 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0)**(5\/2)\/(h\/h**(-2))**(1\/7)*(h**(-4)*h\/h**4*h*h*h)\/(h\/h**(-4\/7)*h**(-8)) assuming h is positive.\nAnswer: h**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-18)*i**(-18)*i)\/(i*i**(-3)*i**5) assuming i is positive.\nAnswer: i**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 33.6. Let f(u) = u**2 + 7*u + 7. Let b be f(-5). What is the smallest value in b, d, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -4. Let n(o) = -o - 7. Let b be n(s). Suppose b = 5*j - 1, -c + 8 = 5*j. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 913*j - 913*j + 3*i - 6*i - 156, 2*j = i + 60 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/6429402 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**5\/3 + 160*a**4 - 19038*a**3 - 117608*a**2\/3 + 58081*a = 0.\nAnswer: -3, 0, 1, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.23261 + 0.06739. Let m = 4 - 3.5. Which is the closest to u? (a) m (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 570985\/16263 - -3\/1807. Is 35 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-10))\/(1\/12). Let c(f) = f**2 + 7*f + 9. Let n be c(h). Suppose 0 = 3*x + 2*x - 10. Solve n*s = -2*y - 13, -x*s - 8 = 3*y - y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 35*p**3 + 4*p**2 + 4*p - 4. Let x(b) = 105*b**3 + 11*b**2 + 11*b - 11. Determine -11*i(t) + 4*x(t).\nAnswer: 35*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 4:24 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 89*a**2 + 13*a**4 - 87*a**2 - 9 - 31*a**4 + (-a + 0*a + 11*a)*(-4*a**3 - 2*a**3 + 5*a**3).\nAnswer: -28*a**4 + 2*a**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 2 - 2 + (10 - 20 - 22)*(1 + g - 1) - 2*g + 0*g + 3*g.\nAnswer: -33*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 1196?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1267 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -855*p = -859*p + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w**0*w)\/w)\/((w*w\/w**(-6))\/w))\/(w\/(w**1*w))**(1\/44))\/((w*(w**(-2\/7)*w*w)\/w)**(-2\/163))**28 assuming w is positive.\nAnswer: w**(-38645\/7172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 2 + 25)*(6*k**4 - 3*k**4 - 4*k**4) to the form g + s*k**4 + a*k**2 + f*k**3 + p*k and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 2. Let v = 13 + -1. Suppose -2 + v = 2*p. Suppose q = 5*i + 40, -9*q = -5*i - p*q - 55. Give f(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2072 - 2 + 3)*(-2*b - 4*b + 4*b)*(2 + 2 - 2).\nAnswer: -8292*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 17. What is the biggest value in 0.3, r, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 8) to base 9\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24*(-45)\/(-36)*38*82\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - 0.6. Suppose 15*h + 1 = -14. Let i be h\/5 - (-18)\/(-10). What is the third smallest value in 0.4, o, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, -59302.17, 1\/3 in descending order.\nAnswer: 6\/7, 1\/3, -59302.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -603432 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 10:52 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 10. Let f be q(11). Let c = 23 - f. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*z = -132, 4*z + 17 = 1. What is the highest common factor of 588 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(5\/(-2) - -3). Suppose h = k - 2, j*k - 8*h + 3*h = -2. Suppose -5*v = 3*y - 31, v - 6 = -k*y + 24. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -78, -156, -230, -294, -342?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 7*f**2 + 3*f - 14. Let q be j(-6). Let r(i) = 6*i. Let z(d) = d. Let b = -8 + -13. Determine b*z(k) + q*r(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.986 - -0.014. Let x = 28.41548 - 0.37448. Let h = c - x. What is h rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178 + -59. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u - 11. Let l(s) = 1 + 2*s - 4 - 2. Let d = 15179 + -15170. Suppose -5*r + 9 = 29. What is d*l(m) + r*q(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -503*n**3 - 2364*n**2 - 2*n + 4746583 wrt n?\nAnswer: -3018*n - 4728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 44. Find the third derivative of p*a**2 - a**4 + 2*a**2 - 3*a**4 + 9*a**4 wrt a.\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 106?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/362 and 91\/16?\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, y: 17}. What is prob of picking 1 y and 2 n?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0, 4, -0.1, 2\/43?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -9*f**2 + 2. Let v(w) = 2*w**2. Give x(v(r)).\nAnswer: -36*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 1:04 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87338021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q\/(q\/(q\/(q*((q\/(q\/((q\/(q*(q*q\/q**(-1\/5))\/q*q*q))\/q*q)))\/q)\/q*q*q)*q)))\/q*q**(1\/3))\/(q**(-2\/17)\/(q*q**(1\/3)\/q)) assuming q is positive.\nAnswer: q**(1526\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1132103 - -4?\nAnswer: 1132111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 200*i - 3935. Determine l(18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -15085 + 30166 - 15082. Let b(x) = -5*x + 4. Suppose -7*g = -4*g + 3. Give g*b(j) - 2*w(j).\nAnswer: 5*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 2:06 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1264 and 92.\nAnswer: 29072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 1\/((-1)\/(-38)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + n = -44, 2*n = 3 - 11. Suppose 0 = -3*y, 6*o - 5*y - z = 5*o. Solve -4*f - f - o = -3*k, f + 2*k - 9 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -83*r**2\/2 + 2675. Let x(l) = 19*l**2. Give x(n(t)).\nAnswer: 130891*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20276 = 1586*w - 5100. Let d = 13 + 7. Calculate the least common multiple of d and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 - 6*f**4 - 5*f + f**4 + 6*f**4 + (4*f**4 - 2*f**4 + f**4)*(-4 + 4 - f) - 2*f**5 + 0*f**5 + 0*f**5.\nAnswer: -6*f**5 + f**4 - 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -17*r + 7. Determine p(6).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.4, 0.39, 9?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1563244 divided by 41138.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (676 + 54*l**2 - 676)*(-605 + 76*l + 605).\nAnswer: 4104*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 4\/(-150))\/((-1)\/(-3)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353 = 62*s + 369 + 84 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56247352 a multiple of 313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -1918.78.\nAnswer: -1919.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10424828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 + 1\/(-2). Let c be 7\/(28\/16) - 1. Solve -s + l = c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 1 in descending order.\nAnswer: 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 5*j**2 - 4*j - 2. Let m be z(4). Let y = 50.64 - 50. Let d = -0.44 + y. What is the nearest to 1 in m, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 + 195*r**3 - 2050*r**2 + 6000*r.\nAnswer: -5*r*(r - 24)*(r - 10)*(r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1535214399.\nAnswer: 3, 233, 467, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2236.914 rounded to the nearest 10?\nAnswer: -2240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43069.82 - -42673. Round p to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2656 and 11786?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 2:28 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-n + 0*n + 0*n) + 3 - 3 - 11*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (-454 + 466).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 368214 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/4341694 and -61\/7442904.\nAnswer: 52100328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 6*c**5\/5 - 859*c**3\/3 + c + 2359. What is the third derivative of t(n) wrt n?\nAnswer: 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**4 + 8*f**3 + 2*f**2 - 2*f wrt f?\nAnswer: 72*f + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4004*h*x + 4259*x wrt h.\nAnswer: 4004*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 12*a + 22. Determine j(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2963197?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109353, -437403, -984185, -1749699?\nAnswer: -2733945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(1\/5))*y*y**(3\/8))**(-28) assuming y is positive.\nAnswer: y**(-441\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1381 + -709. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = k + 1, 0 = -t + 3*k - 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)*p\/((p*p**(-1\/2))\/p)*p)\/(p\/(p**(-6)*p)*p*p**(1\/4)) assuming p is positive.\nAnswer: p**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 192*a + 1 + 7*a - 103*a. Let v(m) = -3*m + m - 6*m + 12*m - 3*m. Give v(p(i)).\nAnswer: 96*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 6*z = -f - 2, 0 = 5*f - z - 16. Solve 3*m - f*d = -d + 13, 0 = 2*m + 5*d + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1470\/(-441))\/(5\/((-30)\/(-4))). Let n(r) = 5*r**2 - r**3 + 0*r + 2*r**3 - 5*r - 4. What is the tens digit of n(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 5 (b) -0.018 (c) -4 (d) 88\/7 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*j*m + 16323*h**2*j - h**2*m + 4*h**2*u + 2*h*j*m*u + 699*h*j*m - 2*h*j*u - 2*j*m wrt h?\nAnswer: 4*j*m + 32646*j - 2*m + 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 557.3788ug to milligrams.\nAnswer: 0.5573788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/84 and 292*(-3)\/(-54)*(-3)\/(-4).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 369891116 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79 by 85.\nAnswer: -79\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**13)**7*y**21\/y**(-6\/11) assuming y is positive.\nAnswer: y**(1238\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)*j\/j**(-8\/5))**(8\/3) assuming j is positive.\nAnswer: j**(94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhdb when four letters picked without replacement from {b: 2, d: 2, v: 4, h: 1, l: 1}?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 + 0*i**4 - 3*i**4 - 2*i**3 - 10*i**4 + 2*i**3 + (-40*i**3 + 40*i**3 - 2*i**4)*(8 + 1 - 2).\nAnswer: -26*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3. Suppose 5*j - j = -3*m + 16, c = -5*j - m + 20. Let o be (-2440)\/10575 - j\/(-18). Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -602 - 794 - 431. Calculate the remainder when l is divided by 71.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178 or 189?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1940 - -0.049.\nAnswer: 1940.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 2 - 6)*(-2 + 4*k + 1 - 5*k)*((3*k - 3*k + k)*(-2 + 1 - 1) + k - 2*k - 4*k - k - 3*k + 2*k) to p + b*k**2 + a*k and give b.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82958285?\nAnswer: 5, 227, 73091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (17 + -16 - 1*8). Let y = 2616\/17 + -154. What is the closest to y in -0.5, 1, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - s + 9. Let a be j(0). Let l(d) = 4*d + 13. Let p(b) = -b. Let o(q) = l(q) + 5*p(q). Calculate the remainder when 10 is divided by o(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - (-4 + -2))\/(2 + 1). Let w be o\/(-2)*(-2 - -3). Let u be w + (-4)\/(-8) + 2\/(-4). Solve -4*m + 7*m = -2*r - 1, u = 2*r + 4*m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 9:51 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 680 - 481. Suppose 0 = 2*k - q - 235. Calculate the highest common divisor of 62 and k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3705, -3713, -3733, -3771, -3833, -3925, -4053, -4223?\n\"Answer: -k**3 - k - 3703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151 and 151302.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-11 - 1 - -8) + (-16 - 6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10450 (base 6) to base 9\nAnswer: -2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-2))\/(39\/(-143)). Solve k = o - 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -259, -386, -513?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9009 + 9014. Solve -2*a = 8, b*g - 16*a + 21*a + 5 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 10*b + 19. Let g be c(-6). Does 3 divide (4 - 2\/(-1)) + 44 + g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53650818 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 84 = -4*s - 4, 2*a - 4 = 0. Let n be (-12 - s\/2)*(-4)\/(-6). Let q(y) = -3*y - 3. What is q(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -b + 972 - 766, 3*u = 5*b + 166. Let v(g) = -45*g + 2. Let s be v(-4). What is the highest common divisor of u and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 983606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -104, -1, 259 in descending order.\nAnswer: 259, -1, -6, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 169*p**3 + 41404*p**2 - 235*p + 2385. Calculate z(-245).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2. Let d(n) be the third derivative of n**7\/252 - n**4\/6 + 6*n**2. Let h(g) be the second derivative of d(g). Give k(h(u)).\nAnswer: 100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/7296 and -35\/8208?\nAnswer: 65664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -91 and -89 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 9. Suppose 0 = -4*c - h, c - 4*c = 4*r - 109. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 226 and 104977.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -276*a**2 - 4557*a + 5. Is d(-11) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33 - (0\/2 - -1). Let q = 6128 + -6048. Calculate the highest common divisor of u and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -649501 < -649501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2525988 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2491356, -4982706, -7474056?\nAnswer: -9965406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or -0.106?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(6*d**3 + 0*d**3 - 2*d**3) - 33*d**2 - 3*d**3 + 31*d**2 - 10*d**3.\nAnswer: -17*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/252 and -73\/203712.\nAnswer: 4277952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 17086395.\nAnswer: -119604765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 326*u**4 - 1707586*u**3 - 3426630*u**2 - 1729198*u - 10480 = 0. Calculate u.\nAnswer: -1, -1\/163, 5240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0855 - 0.1644. Let z = -36.0211 + u. Round z to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) -3224 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-9 - (8 + -2 + -10))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -909 divided by 303\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1836)\/3240 - 6\/10.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 - 141 - 14*d**2 + 141 to j*d**3 + m*d**2 + z*d + u and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6 - c + 0*c**3 + 3*c**3 + c**2 - 4*c**3. Let h be k(0). What is the remainder when 85 is divided by ((-4)\/(-6))\/(h\/(-261))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (4 + 0 - (13 + -12 + 8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 12687 = -227. Let y = 2599 - r. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 2*t = -2*p - 30, 2*p - 3*t - 12 = 0. Are 6 and p nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*x - 408*x + 111*x + 120*x - 6*x**2.\nAnswer: -6*x**2 - 48*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-4)*-1 + (-5)\/2. Let u be 11 - -2*6\/h. Suppose -u = -2*g + c, 4*g - 24 = -3*c + 12. What is the highest common divisor of 42 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 4*y + 2. Let o be (1\/(-2))\/(3\/(-96)). Let u be (o\/(-14))\/(6\/(-21)). Calculate the remainder when 7 is divided by v(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.05 (b) -5\/6 (c) 41 (d) 2 (e) -1 (f) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by ((-175)\/(-140))\/(5\/6) - (-137)\/2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oioocloiciqo. Give prob of picking 1 c and 1 i.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 4. Calculate l(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 3*g + 36, 715*a - 3*g = 720*a + 34 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(6*i + 33 - 33) + (-i - 2*i + i)*(3 - 2 - 6).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 642550 to the nearest 10000.\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, c: 6, t: 3}. What is prob of picking 2 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = 14*r - p, 0 = 16*r - 20*r + 4*p + 8. Let v = 1 - -4. Which is the closest to -1\/3? (a) v (b) r (c) 0.02 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3332\/(-168))\/(2\/4 + 1). Which is greater: v or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 = -73*p + 51. Put 2, 8, p, -5, 40 in decreasing order.\nAnswer: 40, 8, p, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 4*v**2 + 4*v + 2. Give f(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 11:01 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14351 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*a - 3114, -2*a = -4*a + 4*j + 1566. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7183900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(4*u - 3*u + 0*u) + 2*u + u - 4*u + 2*u - 3*u + 5*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + a - 34, -243 + 179 = -4*f - a for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -18*g**3 - 107*g**2 + 23*g - 82. What is w(-6)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -28 (b) 0.01 (c) -6 (d) 2\/7 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002253 rounded to seven decimal places?\nAnswer: -0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 17*o**2 + 2*o + 218. Determine y(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*115.9.\nAnswer: -231.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11060353267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (9\/10)\/(2781\/(-11124))\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*y - 34*y - 2 + 4 - 2*y + 2*y + 2*y + (-3 + 3 - 1)*(2*y - 2 + 2) + 5*y - 3*y - y + y + 5*y - 4*y as q + j*y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let z be n(-4). Let l = 1045 - 1042. Find the first derivative of 13*j**z + 4 - 25 - 1 + l wrt j.\nAnswer: 52*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11110202000 + 10?\nAnswer: 11110202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1680659, -3361402, -5042145, -6722888?\nAnswer: -8403631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-369)\/162 + 8\/(-36))\/(-14 - 1190\/(-84))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 3*i - 2. Suppose 29*y - 11*y - 72 = 0. Let q(o) be the second derivative of o**5\/20 + o**3\/3 - o**2 + 5*o. Give y*q(g) - 3*l(g).\nAnswer: g**3 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 76\/5 of a meter?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/720155 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375306*f**3 - f + 5*f - 4*f.\nAnswer: -375306*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*(((sqrt(500) + -2)**2 - sqrt(500)) + -2) + (-3*(sqrt(500)*-3 - sqrt(500)) - (-1 + sqrt(500) - sqrt(500))*-6)**2)*-4.\nAnswer: -324288 + 9360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**3\/3 + 31*p - 22. Let o(t) = -2*t - 31. Determine o(u(x)).\nAnswer: -4*x - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17945771 divided by -4.\nAnswer: 17945771\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178*b + 682 - 249 - 180*b)*(-b**3 - 3*b**3 + 5*b**3) + b**2 - b**2 + b**4.\nAnswer: -b**4 + 433*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40576628*t**3 + 19045092*t wrt t.\nAnswer: 243459768*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 294.96 + -295. What is the third biggest value in 6, -0.2, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -59158, -60806, -63546, -67372, -72278?\n\"Answer: q**3 - 552*q**2 + q - 58608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28, -45, -44, -25, 12, 67, 140?\n\"Answer: 9*f**2 - 44*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 3\/1330 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73230286?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*c - 1765 - 2070, 4*c - 4*j - 7688 = 0. Is 4 + c - 8\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2100220 (base 3) to base 15.\nAnswer: -7a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 105, 171, 255, 363, 501, 675?\nAnswer: 891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -196 - -224. Is a\/(-6)*(-84)\/8 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -5. Let v(m) = -11*m - 2. List the prime factors of v(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -751 + 750.57. Let w = -0.68 - -1.31. Let h = w + q. Sort 0.5, 0.05, h.\nAnswer: 0.05, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2. Let s(c) be the first derivative of -c**5\/30 - c**2 + 2. Let h(y) be the second derivative of s(y). Determine h(u(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u + 10 = 0, 0 = -2*b - 4*u + 12. Suppose -4*d + 22 = b. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**2\/2 - u - 1270. Let q(o) = -11. Determine -q(n) - 2*t(n).\nAnswer: 2*n + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 804824509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 4:10 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -26*n**3 - 62*n**2 - 19*n - 17. Let l(a) = -104*a**2 + 6*a + 6 + 0 + 9*a**3 + 125*a**2. Let o(c) = 6*d(c) + 17*l(c). What is m in o(m) = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.6449654 minutes in days?\nAnswer: 0.00530900375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (4 + 3 - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 118b79 (base 14) in base 8?\nAnswer: 2224607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.462 + -62551\nAnswer: -62551.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bbd36 - 31?\nAnswer: -1bbd67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5 - 54*w**4 + 33*w**3 + 954*w**2 + 864*w = 0. Calculate w.\nAnswer: -3, -1, 0, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 19*u**2 - 7*u + 1\/120*u**6 + 0 + 1\/4*u**4 + 2\/3*u**3 - 3\/20*u**5. Let f(z) be the first derivative of q(z). Give f(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -563, 3, 2, 1312 in increasing order.\nAnswer: -563, 2, 3, 1312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-58 - -1)*(-80)\/24. Suppose 3*x - h = -5*y, x + 3*y + 222 = 4*x. Suppose x*p = 74*p - 5036. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 259410679 - 700088411 = 0. Suppose 124050091 + n = 8*s. Round s to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3825384?\nAnswer: 2, 3, 19, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 = -5*d + o - 196, 4*o - 17 = -d - o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n = -24. Suppose 5*k = 4*i - 46, -5*k = -2*i + 3*i - n. Let o(y) = y**2 - 10*y - 4. What is the tens digit of o(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193482543 to the power of 1\/2, to the nearest integer?\nAnswer: 13910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112280297 to the nearest integer?\nAnswer: 10596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12888, 12633, 12210, 11619, 10860?\n\"Answer: -84*y**2 - 3*y + 12975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 139681910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 12 = -4. Let o be (0 + 6)\/(t\/(-2)). Find the third derivative of k**2 + 5*k**2 + 4*k**2 + 2*k**3 - o*k**2 wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 + 68. Let k(n) = 8*n + 65. Let s be k(i). Solve 3*o - s = 0, 0 = -b - 0*o + 4*o - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -4, 2\/33 in ascending order.\nAnswer: -4, -3, 2\/33, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = 2*f, 7 = -2*f + 1. Suppose 24 = 2*r - 5*w, 5*r = -u*w + 49 + 11. Suppose 19*m = 8*m + 1452. Calculate the greatest common divisor of m and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1627*r**2*u**2 + 1108*r**2*u + 6*r + 728*u**2 + 3*u - 1640 wrt r.\nAnswer: 3254*r*u**2 + 2216*r*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + (4*-20)\/(-8). Solve -4*n = -20, -d*n = -5*a - 50 + 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8461993 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.2 - -20.21. What is the third smallest value in 2, f, 0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/70 and 47\/1953910.\nAnswer: 1953910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 160667713777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*i - 202, -9*o - i + 324 = -1589. Calculate the highest common divisor of 9 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 18, 0, 51.6 in descending order.\nAnswer: 51.6, 18, 14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, i: 8}. Give prob of picking 3 p.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**2 + 48764862*b + 198167647156587 = 0.\nAnswer: -8127477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - z - z - 1 + 1 + 3*z + (0 - 1 - 1)*(-1 + 2*z + 1) - 3*z + 6*z - z - 181*z - 329*z - 83*z - 43*z.\nAnswer: -637*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 897733453 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44.48 - -0.48. Let n = d + 43.958. What is n rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.37 - -5.43. Let m = i + -0.96. Round m to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -26444 and 163956?\nAnswer: 190400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnrbt. What is prob of sequence tm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10967 divide 859725064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:13 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -1070*w**2 - 72780*w - 1372. What is x(-68)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1223120 + -300203?\nAnswer: 322311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1885059 and -32\/856845.\nAnswer: 9425295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 74*p**2 + 62*p + 746. Determine r(73).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73738 is divided by 18069.\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(3\/5))\/u*u**(-1\/27))\/((u\/(u\/u**15))\/u*u*u\/(u**23*u)) assuming u is positive.\nAnswer: u**(1156\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4756002t in nanograms?\nAnswer: 475600200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 + -90. Let i be (-4 - -3)\/(-1 - 0). Let n be 10 + -9 - i*3. Sort 3, w, n in descending order.\nAnswer: w, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 11, 9, 3, -7?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-6)*1*(-75)\/(-50). Which is the second biggest value? (a) o (b) 1 (c) 0 (d) -1.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1296086109498 + -2.\nAnswer: 1296086109496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4508 + -126339\/28. Find the common denominator of -101\/70 and n.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13159*r + 463264 = -457866 for r.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1030*t + 1064*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 111843.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5 + (sqrt(20) - sqrt(5)))*-4*-1.\nAnswer: -24 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 950345.\nAnswer: 4\/950345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175 - 169. Let y = 20501\/176 + -1304\/11. What is the common denominator of 12\/u + (3 - (-166)\/12) and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*y, -d = 2*y + 2*y. Let h(j) be the third derivative of 5*j**2 - 1\/8*j**4 + 1\/2*j**3 + y + 0*j. Calculate h(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2 - 372198*q + 372195 = 0.\nAnswer: 1, 124065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g - 11. Let z be q(6). Solve -5*t - 2*u - 29 = 0, -t - 7*u = -3*u + z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 + t - 1. Let g be z(1). Solve -g*v = -10 + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 3*s**5\/20 - s**4\/6 - 9*s. Let q(b) = 7*b**3 - 5*b**2. What is -6*q(m) + 15*y(m)?\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389537 is divided by 194763.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -2 - 11 - ((-331433)\/(-13279) - (-2)\/49)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 404*k**3 + 828*k**3 - 428*k**3 + k**2.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340*j - 415*j + 1794 = -6456. Solve -j*z + 116*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*z = -3951 - 3552 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2477820 divided by -441.\nAnswer: 825940\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64570865 is divided by 80?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 37 = -36*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(28)*5 - (sqrt(7) - (sqrt(112) - sqrt(7))*5))**2 - (2 + sqrt(175))**2*2).\nAnswer: -3674 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43805869\/434 + 100935. What is the common denominator of -113\/868 and k?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -172 and 8.\nAnswer: -1376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 28 + 20 = s, 4*w = 8. Let k = s + -32. Suppose -t + k*t = 415. List the prime factors of t.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 288*a**3 - 18*a + 292*a**3 - 1 - 581*a**3 - 2 to s + x*a + j*a**3 + t*a**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1104\/94085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116 by 56.\nAnswer: 29\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 22*x**2 + 25*x + 16. Let a be y(21). Suppose 10 = -2*v, -6*s + 3*s + 2*v + a = 0. Let q = -30 + s. Solve -6 = 2*g - q*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e902 - 1?\nAnswer: e901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8656, 8647, 8648, 8665, 8704, 8771?\nAnswer: 8872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541446096.\nAnswer: 2, 3, 89, 126743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + sqrt(637)*1*-6) + 4)**2.\nAnswer: 5376*sqrt(13) + 367168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l - 27. Let t(z) = -1. Let m(q) = -7. Let s(u) = -m(u) + 6*t(u). Let w(b) = d(b) + 18*s(b). Does 6 divide w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*s = p + 4*p - 305 + 361, 2*s = 3*p - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6795, -5.08, 0.4, 2\/7, 2\/17 in decreasing order.\nAnswer: 6795, 0.4, 2\/7, 2\/17, -5.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68098264303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juq when three letters picked without replacement from {r: 1, n: 1, j: 1, u: 3, q: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 12*y**2 + 16. Calculate the least common multiple of q(-12) and (24\/22)\/(122\/671).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7045 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 21 + 17 - 64 + 130*a + 10 - 28*a.\nAnswer: 102*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 + 172 - 82)*(-3*n**2 - 2*n**2 + 4*n**2).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 1\/7, 0.2, 555, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + n**2 - 2. Let z be w(2). Suppose j + j = z. What is the highest common divisor of 10 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16559 is divided by 436?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 0 + 9*u**2 + 0. Let t(n) be the first derivative of -n**3 + 105. What is g(t(q))?\nAnswer: 81*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 2*u. Let y be z(3). Let r be (-1 + 0)*(y - 2). Let v(k) = 9*k**3 - 2*k**2 - 2*k - 1. What is v(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9*6\/(-2). Let t(a) = 2*a**3 - 2*a**2 + a - 2. Calculate the remainder when t(m) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + t + 9, -4*r + 4*t = 5 - 17. Suppose 0 = r*i - 4*i + 89. Suppose 3*d + 32 - i = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72\/(-12) - -1 - -8 and 1044.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/11 + 13397106*u\/11 - 6698552\/11.\nAnswer: -2*(u - 3349276)*(2*u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6*12.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -385 (base 10) in base 12?\nAnswer: -281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/(-14) + 7 + (-13)\/(-26)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 42*y**2 + 150*y + 4476. Determine h(-41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 26 = 3*f, -3*f - 25 = -11*c + 6*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -867, -3464, -7791, -13848?\n\"Answer: -865*l**2 - 2*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10, -2\/11, -0.2, 0, -0.9?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -13, -1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.61 - -0.21. What is the nearest to 1\/2 in r, -4, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -31*a + 172. What is the tens digit of z(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w - 3. Let h be n(11). Suppose 3 = -4*l - 0*l + 5*k, 5*l - 5*k = 0. Calculate the highest common divisor of l and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -188006 (b) 15 (c) -0.1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by 1\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 10:42 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 21. Let x be (0 - (-24)\/(-9))*-21. What is the highest common divisor of w and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1410, 1077, -2758, -11847, -27942?\nAnswer: -52795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38339, 38306, 38273, 38240, 38207?\nAnswer: 38174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264269477 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 993 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: In base 8, what is 270316 - 35?\nAnswer: 270261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 12 and 1\/102 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87054 > 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11011 (base 2) to base 13\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfxdxssdxxbfbdbbxxf. Give prob of sequence sx.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(1*(sqrt(684) + 4 + sqrt(684)) - sqrt(684) - (sqrt(684) + 1*sqrt(684) + -5 + sqrt(684)))**2.\nAnswer: -432*sqrt(19) + 5635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*z - 683 = 0, -5*z + 39 = v - 76. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 174*n**2 - 1280*n**2 + 410327*n - 410325*n to the form r + z*n**2 + g*n and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 85, 45, -7, -3, 4 in ascending order.\nAnswer: -7, -3, 4, 21, 45, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - 21. Let o = -11 - y. What is the lowest common multiple of o and 3\/6*(0 + 12)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 1389*s - 1439*s - 255, -2*i + 3*s + 25 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/50*25)\/(-2*(-537)\/(-24))?\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -29, 1, -4, 5.\nAnswer: -29, -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7340.91296 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.24242138 + 0.1909\nAnswer: 0.43332138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 times -0.06629371?\nAnswer: -0.139216791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -u + 794 - 2161, 5*u - 1325 = -v. What is the remainder when v is divided by 76?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -368 (c) 48 (d) 2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 104*g - 1 + 6 - 4. Let x be n(1). Suppose 4*o = x + 215. Calculate the highest common divisor of o and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -527721746318049 - -0.1.\nAnswer: -527721746318048.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 4 - (-3 + -1) - -1 - -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-15)\/3)\/(-5)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5\/3 + 62*j**4\/3 + 193*j**3\/3 + 130*j**2\/3 = 0. Calculate j.\nAnswer: -2, -1, 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) -0.2 (c) 189 (d) -0.096 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -315*y**4\/8 + 4191*y**3\/8 + 1587*y**2\/4 - 375*y\/2 - 21 = 0.\nAnswer: -1, -2\/21, 2\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306614 divided by 121.\nAnswer: -2534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 109455959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(21) + sqrt(525))\/sqrt(7) - ((sqrt(48))**2 + 5)*3) + -1 + 4.\nAnswer: -161 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135 - -134) + (-2 - (4 + 0))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3375 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14266369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 + 705 = -348*i - 754 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-291)\/27 + 1 - (-10)\/(-45). Let q be (-1)\/(-2)*u + 2. Let h(m) = -6*m**3 + 4*m**2 - m. Is h(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 67\/4, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14356730 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: Let m = 781 + 159. What are the prime factors of m?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = 5*j - 294. Let k = j - 85. Let i = 24 + 0. Calculate the greatest common factor of i and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by -18\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1375304 and 917668?\nAnswer: 2396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.795808 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1340\/(-8)*(6 - (-126)\/(-20)). Which is bigger: q or 50?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146416 = 2780*o - 368816 for o.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30780653?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7480 or 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1221*w**2 - 6113*w - 8. Determine a(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/11)*s*s*s*s\/(s*s*s**13*s)*s)\/((s**(-4\/11)\/s)\/s**11) assuming s is positive.\nAnswer: s**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l + 8. Let w(y) = 5*y**2 - y + 1. Let b be w(2). Let p(u) = b - 19 + 5*u. Give p(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4543331400 to the power of 1\/3, to the nearest integer?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (570\/3135)\/(318\/(-66))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84448 and 5248.\nAnswer: 13849472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(4\/3)*m*m**3)\/(m**(2\/9)*m)**(-12) assuming m is positive.\nAnswer: m**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -755\/133 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a - 2*y + 80, -5*y = 4*a - 74. Let r(u) = u**2 - 11*u - 8. Let b be r(12). Solve 2*c = -5*f - a, f + 2*c - 3 = b*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -23 + 29. Let d(l) = 6*l**3 + 10*l**2 + 10. Let x(u) = u**3 + u**2 + 1. Let j(f) = -d(f) + 5*x(f). List the prime factors of j(q).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 + 43*a - 57. Let p be n(18). Suppose 396*c + p = 399*c. Calculate the remainder when 128 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 50*o - 82. What is the hundreds digit of y(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4524?\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 + (10 - (8 - -7)) - -19.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 166*p = -170*p - 2593, -5*x - 2*p + 2611 = 0. What is the remainder when x is divided by 175?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, 0.3, 1967 in decreasing order.\nAnswer: 1967, 0.5, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2 - 8 = 0, -3*s = -5*i + 2299. Factor i - 461 - 30*y - 5*y**2.\nAnswer: -5*y*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38\/(-4) + 10)\/((-1)\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 56*(26\/4 - 4). Suppose 2*k - i = -2*k. Calculate the highest common divisor of 14 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oocddcjddcmcojmsddc. What is prob of picking 1 m, 2 d, and 1 s?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8073403861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1032*a + 14472 = -15757 + 1333 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39288 (base 12) to base 9.\nAnswer: -128175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4791 - 4426. What is the greatest common divisor of h and 1387?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -214 + 218. Suppose 0 = 2*l + 4, t*l + 218 = 3*i - 0*l. Calculate the highest common factor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*1*(-8)\/(-138). Let f = 37 - 37. Suppose 21 = -4*v + 5*j, -3*v + 8*v - j = f. Which is bigger: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 7:39 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34588451*d**4 + 35341890*d**2 wrt d.\nAnswer: -830122824*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s. Let r(u) be the third derivative of -u**4\/24 - 7*u**2. Give 4*m(g) + 11*r(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2100265, 4200535, 6300807, 8401081, 10501357, 12601635, 14701915?\n\"Answer: y**2 + 2100267*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 9:38 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 289387?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 - 5*y**2 + 7*y**2 - 13 - 554 - 5*y + 2*y**3 - y**2 in the form x*y**2 + n + m*y + u*y**3 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.165? (a) -207 (b) -2\/11 (c) -5 (d) -4 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-150) + 16359\/(-410).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20\/13 - 22\/13. What is the nearest to -2 in 0.1, y, -6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -5*x - 5*p, -3*p = -p - 2. Suppose -5*r - t = -x + 1, -r - t = -10. Calculate the remainder when (1*89)\/(r\/7)*1 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136110 is divided by 736?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -1. Let t = -197.9609 + 198. Let y = t - 0.3391. Which is the third smallest value? (a) s (b) 1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -663 - -666 - (-176)\/436*802\/(-108). Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(36*3))\/(5\/(-30)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 9. Suppose -5*d - 40 = 5*x, 2*d - 28 = 7*d + 2*x. Let m be (-100)\/(-16)*d*c\/(-2). Which is smaller: 51 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32 - -32)\/(4 - (1 - -1)). Suppose -5*c - 15 = 0, j*s - 120 = s + 5*c. Do s and -105 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4479.561 weeks?\nAnswer: 2709238492800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 22. Let y be 0*(1 + t) - 9860\/(-17). Suppose 4*i - 2*j = y, -2*i = 3*j - 65 - 233. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11))*-5 + 4 - ((sqrt(11) + sqrt(44) + 4)*-1)**2.\nAnswer: -111 - 29*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 17*u**2. Let q(y) = -17*y**2. Let l(j) = -2*q(j) - 3*s(j). Let w(h) = -h**2. What is l(w(v))?\nAnswer: -17*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4630 * -67\nAnswer: -310210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**9\/84 - h**5\/12 - 6*h**2. Find the third derivative of x(z) wrt z.\nAnswer: 720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14*105\/294 - -61. Calculate the highest common factor of 1518 and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-9) + (-2)\/8*-4. Let t = 10.7 + -11. Let x be 12\/(24\/19) + -9. Which is the fourth biggest value? (a) 1\/4 (b) t (c) p (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 42. Solve -4*k - 8 = -m*r - 31, -k - 4*r + 1 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -349 * -4\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 6. Let j = 0.1 + -0.2. Let p = -1.8317 + -1.1683. What is the fourth biggest value in p, o, 0.5, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3078 - 3077. What is the nearest to y in -1, 22, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 6*q - 3. Let v be l(-5). What is the units digit of (52\/v)\/(2\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hlbhlljlqhbjlhqqhlll. Give prob of picking 3 h and 1 j.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 38.59546 grams?\nAnswer: 38595.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1572.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -21*j - 6*j + 140 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5\/9 - 4*d**4\/9 - 4*d**3\/9 + 2*d**2\/9 + 5*d\/9 + 2\/9.\nAnswer: -(d - 1)*(d + 1)**3*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -6\/14731 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4682 - 4674. Solve -10*o - a*o - 18 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -691*o - 25591. Determine a(-37).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4225\/(-676)*(-24)\/(-10)*-1. Let v(m) = m**2 - 14*m - 38. What is v(t)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 345 + -240. Let r = -105.0000047 + q. What is r rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 576 = 5*i + 116. Is i a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -12*k + 7*k. Suppose -p + 22 = p - 5*z, -k*p + 3*z + 16 = 0. Suppose 6*x - 10 = 2*x + 5*f, 2*f = -4. Solve -p = -x*n + n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*v + 21 = 8*v, -32 = -2*h - 4*v. Let r(x) be the first derivative of 6*x**2 - 18*x + h - 2\/3*x**3. Let r(d) = 0. Calculate d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -168 + 171. Determine v, given that 5*v**5 + 70*v**4 + 51*v**i + 339*v**3 + 1485*v + 13178 + 1080*v**2 - 12368 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (-14 + -3 + 18 - (2 - 2))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47851\/120435 - 14\/1147. Calculate the common denominator of -7\/78 and l.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 1. Let h(i) = -6*i + 5. Let p(f) = -h(f) - 5*q(f). Let y(a) = -443*a + 2. Give y(p(w)).\nAnswer: -443*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -1, -324 in increasing order.\nAnswer: -324, -1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 5*w - 2. Let z be y(3). Solve -b - z + 1 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 11*k - 3. Give w(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1288682354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 10*y**2 + 5*y + 30. Give d(10).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-10 + -3 - -6) + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 131?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -458114, -1832462, -4123032, -7329818, -11452814?\nAnswer: -16492014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**5\/4 + y**4\/12 - y**3\/3 + y**2\/2 + 2*y. Let n be l(1). What is the greatest common divisor of 35 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 5*j + 13. Determine t(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20033.72899963 + -20033.7. Let w = 0.06 - 0.031. Let r = w - t. What is r rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.1142042 to one decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = -0. Let g = 29 - d. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28548 and 1110?\nAnswer: 5281380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 700041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 25*q**2 - 44*q - 2. Let u be y(2). Put 1, -3, u, -28 in ascending order.\nAnswer: -28, -3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4691 - -4695. Solve 4 = -s*i - 4*g, 0 = -4*i - g + 1 + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -35. Let n = g - 4. Suppose 12 = w + f, 7*w - 40 = 3*w - 2*f. Calculate the highest common factor of n and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**12*t)\/((t\/(t*t**(-10\/3)*t))\/t))**42 assuming t is positive.\nAnswer: t**490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(6048))\/(2*sqrt(6)*2 - ((sqrt(48) - (sqrt(144)\/sqrt(3) - sqrt(48))) + sqrt(48))\/sqrt(8)))**2 + -2.\nAnswer: 9070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.23, -3, -499\/6, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6925452 divided by 3.\nAnswer: -2308484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 994032.8 millilitres in litres?\nAnswer: 994.0328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**3 + 18*f**2 - 12*f - 19. Give n(8).\nAnswer: -499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185128?\nAnswer: 2, 73, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 2:23 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 h when four letters picked without replacement from qqqhqhqhhh.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 12*w**5\/7 - 1868*w**4\/7 + 13056*w**3\/7 + 82128*w**2\/7 + 15872*w + 28416\/7 = 0.\nAnswer: -2, -1\/3, 12, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97718149395086 + 97718154975877.7970499. Let j = -5580563.797 + w. Let n = 228 - j. What is n rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - p = 0, 0*p + 8 = -2*x + 2*p. Let o = 2 + x. Let t(n) = -n**3 + n**2 + 3*n - 3. Let q be t(2). Put -4, o, q in increasing order.\nAnswer: -4, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y - 4*f - 20, 2*y - 20 = 4*f. Suppose 0*o = -k - o, 3*k + 4*o = -1. Suppose -b + 6 + k = y. Solve 12 = -5*v + d, b*d + 12 = v + 2*d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + -2 - (-16 + 19)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 1:52 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1491 and -1?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*h + h + 3*p, -5*h - 2*p + 6 = 0. Suppose 5*c = -5, h = 2*b + c - 5 - 36. What is the highest common factor of 14 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - -17 - 5\/(-3)*-3. Calculate the highest common divisor of u and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 + 4*x)*(-4*x**2 + x**2 + x**2) + 2*x**3 + x**2 - x**2 + (2*x**3 - 3*x**3 - 3*x**3)*(6 - 3 - 2).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 9:41 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 33. Suppose 0 = -4*u + 6*u, 4*h - u - n = 0. Suppose -h*m - g + 23 = 2*g, -g + 5 = m. Calculate the least common multiple of m and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/20 + d**2 - 18*d. Let h(q) = 14*q**2. Calculate h(c(v)).\nAnswer: 126*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4445822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-6) - 10\/(-15). Let q = 4 - u. Solve q*g = -h + 9, -h - 4*g = -5*g - 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 + 62.37. Let l = 0.57 - r. Let i = -3 - -6. What is the second smallest value in i, 1\/4, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -53 (b) 30\/23 (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, -1, 111, 5, -5, -42 in increasing order.\nAnswer: -112, -42, -5, -1, 5, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43 and 101033?\nAnswer: 4344419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 u, and 1 g when three letters picked without replacement from {l: 1, u: 1, g: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + -1*sqrt(13))**2.\nAnswer: 4*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -1. Let d = 0.5 - -1. Let x = s + d. Sort 2, -0.2, x in ascending order.\nAnswer: -0.2, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 2*o + 4 - 1\/3*o**3 - 1\/2*o**4 + 0*o**2. Let z be a(1). Is z at least 9\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u - 18*u + 22. What is the greatest common divisor of 44 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 755 + 755)*(-128 - 79 + 23) - 4*h + 0 + 5*h + 1.\nAnswer: 185*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 9. Let z be x(4). Let i(q) = -3*q - 19*q**3 + 37*q**3 - 22*q**3. Let v(g) = -g**3 - 2*g**3 - g - g. Determine z*i(o) - 7*v(o).\nAnswer: o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -11*f**3 + 70. Let t(k) = -5*k**2. Determine t(i(b)).\nAnswer: -5445*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -725505*f**3 + 2*f**2 - f + 11. Let n be k(-4). Suppose n - 18432367 = -4*p. What is p rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 67, 83, 101, 121, 143?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53363 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: Factor 2*u**4\/3 - 22*u**3\/3 + 64*u**2\/3 - 56*u\/3.\nAnswer: 2*u*(u - 7)*(u - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -103408 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -19. Let g = -4 + j. Solve -2*z = -0 + 4, g*x + 4*z = 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3591 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, g: 1, q: 4, b: 6, r: 1, y: 3}. What is prob of picking 1 y and 1 o?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 p, and 1 y when four letters picked without replacement from unuuuneyypneppyp.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v = 0. Suppose v = -l + 4*l - 3*r - 12, -14 = -l - 4*r. What is the smallest common multiple of l and 14 - (-23 + 3)\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 26*v + 239. Let l be b(-9). What is the third derivative of 66*o**5 + 46*o**l - 23*o**2 + 80*o**2 wrt o?\nAnswer: 6720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*n - 160*n + 140 = 0. What is the highest common factor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 8*j**2 - 238*j + 261. What is m(12)?\nAnswer: -1443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-4)\/(-8)*8. Suppose -o = j - 52. Let c(r) = -r**2 + 3*r + 72. Let a be c(0). Calculate the highest common factor of a and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 442 + -452. Suppose 132 = -3*v + v. Find the common denominator of m\/30 - v\/(-4) and -45\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208 and 234.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 555429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143 + 331?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2721945 to two dps.\nAnswer: 2.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 183419\/85347 - 3\/3161. What is the common denominator of x and 31\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9928 + -801. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 627850197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202020 - -31?\nAnswer: 202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8359481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**4*x + 39*i**3*x**3 + 3*i**2*x - 2*i*x**3 + 27*i wrt i.\nAnswer: -24*i**2*x + 234*i*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80754.05km in nanometers?\nAnswer: 80754050000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 36327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*n + 12*n - 19*n + 1 + 23*n + 7*n**3 + n**2 in the form v*n**2 + a*n**3 + z*n + p and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -17.91. Let p = -0.21 + h. Put 1\/3, 5, p in ascending order.\nAnswer: p, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -35*s**3 - 99*s**2 + 171*s - 116. Let w(m) = -19*m**3 - 50*m**2 + 85*m - 59. Let b(f) = -6*j(f) + 11*w(f). What is b(-46)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 18 + 7 + 31)*(-12*p**2 + 3*p**2 + 32*p**2).\nAnswer: 1518*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13153*b*l**4 - 5*b*l**3 - 164*b*l + 16*b - 2*l**4 + 4*l**2 wrt l?\nAnswer: 315672*b*l - 30*b - 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81828, -5, 2, -4, -1.\nAnswer: -81828, -5, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 2*l - 2. Let z be n(2). Is 124\/z - 4\/6 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22396725?\nAnswer: 3, 5, 13, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**3 - 996*l + 1978*l + 0*l**3 - 998*l + 11 to m*l + s + b*l**2 + h*l**3 and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 4:12 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4646759?\nAnswer: 13, 23, 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**5 + 10\/3*c**4 + 4*c**3 + 2*c**2 + 1\/3*c + 0 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4)*-2)\/(-5*((sqrt(4)*1 - sqrt(4)) + sqrt(4))).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-6 + 2 + (2 - -5) + -35)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11216 + 11216.8. What is the closest to -66 in c, -0.8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(8\/5)*h*h\/((h\/(h\/((h**(8\/5)\/h)\/h)))\/h)*(h**(-3))**29 assuming h is positive.\nAnswer: h**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11181*i**5 - 5078*i wrt i?\nAnswer: -223620*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497148137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -241 (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 4*h**2 - 39*h + 3. Determine f(5).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - j**2 - 3*j + 2. Let w be m(3). Let z = -71 - w. Let o be 8\/z + 2\/7. Let a(d) = d**2 + d - 4. Calculate a(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 3*m + 2*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 9*u**2 + 7. Determine j(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 31\/(0 - (2 + -3)). Suppose -j = -3*x - 1. Calculate the remainder when (18\/30)\/(0 - (-6)\/390) is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 5*b + 2*q, 3*q + 5339991 = 5*b + 5339905 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106265 and 191277?\nAnswer: 956385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 1001?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12328.6 - -12329. Let h be 16\/18*6\/(-20). What is the second biggest value in q, -3\/8, h, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -64, -85, -90, -73?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 696 - 773*i**2 + 324*i**2 + 453*i**2 - 140*i = 0.\nAnswer: 6, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 44535*n**2 + 178104*n + 178092.\nAnswer: 3*(n + 2)**2*(n + 14841)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3*g**2*x - 174*d**3*g + 44*d*g**2*x + 5*d*g**2 - 19*d*x wrt g.\nAnswer: 2*d**3*x + 88*d*x + 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w - 3. Give j(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/52*300\/25.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 177771810 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1304?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**6\/30 + c**5\/80 + c**4\/12 - c**3\/24 + 19*c - 11. Let j(t) be the first derivative of a(t). Factor j(g).\nAnswer: -g*(g - 1)*(g + 1)*(4*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36191113991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/3 - (-10)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -39*b**3 - b**2 - b + 1. Let z be l(1). Let c = z - -40. Let o(a) = a**3 + a - 5. Calculate o(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**3 - 5*l**2 + 5*l. Let u(d) = 6*d + 23*d**3 - 21*d**3 + 3*d**2 - 9*d**2. Calculate 6*p(r) - 5*u(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39947, 39948, 39949?\nAnswer: 39950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.395809cm?\nAnswer: 0.00000395809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43102495 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**4 - 7*s**3 - 17*s + 1. Let b(f) = 4*f**4 + 8*f**3 + 16*f - 1. Let y(j) = -7*b(j) - 6*i(j). What is the second derivative of y(g) wrt g?\nAnswer: 24*g**2 - 84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -29*r**2 - 4*r + 18. Let l(u) = 30*u**2 + 5*u - 18. Let h be 5\/50*-38 + (-1)\/5. Let t(f) = h*l(f) - 5*o(f). Differentiate t(g) with respect to g.\nAnswer: 50*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -2*b + 20, -5*w = 5*b - 766 + 716 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 3:28 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 30*t**2 - 150*t + 2. What are the prime factors of i(35)?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 554*r**2 + 1941*r. Let q(x) = -x**2 - 35*x. Let i(j) = -l(j) + 3*q(j). What is the second derivative of i(h) wrt h?\nAnswer: -1114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -164 - -73. Let j = w - -138. Suppose 3 = 2*c - j. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 2*z**2 + 3*z - 31*z**2.\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 + b + 28. Let f(t) = -4*t**2 + 28. Let x(a) = 2*f(a) - 3*g(a). Does 23 divide x(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1243177030*u**2 - 773397202 wrt u?\nAnswer: -2486354060*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 1:42 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/3036068 and 61\/1001.\nAnswer: 434157724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 30043 (base 9) to base 2\nAnswer: 100110100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w + 27. Let y(f) = f + 52. Let s(k) = -13. Let i(z) = 9*s(z) + 2*y(z). Determine -13*i(n) - 6*j(n).\nAnswer: -2*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -503 divided by 347.\nAnswer: -503\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/6*157\/((-2882520)\/(-405)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1590*i + 3183*i - 1584*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220 (base 3) to base 8.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 3*c + 4. Let s be x(-4). Suppose 0 = -3*a + 6*a + 2*n - 3, 3*a - 2*n - 3 = s. Is a\/4 + 675\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 262 + -432. Let j be 6\/4 + r\/68. Is 8\/(-10) - j - (-4172)\/140 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 11 + 5*d**3 + (1 - 1 - 1)*(17 + 22*d**3 - 17) + (-d**2 + 0*d + 0*d)*(d - 2*d + 3*d).\nAnswer: -19*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 - 7*d**2 - 4*d + 3. Let s(v) = -v**3 + v**2 + v - 1. Calculate 4*s(z) + x(z).\nAnswer: -z**3 - 3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, r: 4, i: 1, t: 3, x: 1}. What is prob of sequence mm?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17859 - -17817. Sort b, -2, -9, 2, 1.\nAnswer: b, -9, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1872) + -4)*3 - (-3 + -3 + sqrt(1872))**2)*-2 + 5.\nAnswer: -3835 + 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90917599 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101102102021212 (base 3) to base 4.\nAnswer: 111020111102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235862, 943418, 2122678, 3773642, 5896310, 8490682?\nAnswer: 11556758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 5)\/((-4)\/16). Suppose -4 = 2*x + n. What is the units digit of (-16)\/x + 1*7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -9*k**3 + 7\/2*k**4 - 1\/4*k**5 + 17\/2*k**2 - 11\/4*k + 0 = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**9)**(2\/43)\/((n**(-12)*n)\/(n**12\/n)))**(-3\/4) assuming n is positive.\nAnswer: n**(-723\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {g: 3, w: 4, v: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2510695 - -169305. Round w to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -5\/574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 437509549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s - 5*v = -10, -v + 2 = 3*s. Calculate the remainder when 40\/5 - s - -2 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.7 - 3.5. Let w = 0.1 - q. What is the nearest to 0.1 in -9, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1456.48*-29.5.\nAnswer: -42966.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q - 59. Let f be b(20). Let p = -6 - -17. Calculate the remainder when f\/(41\/(-21) - -2) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/100*(-4)\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -156*t - 18*t + 3*t. Solve -w + 2 = t, -3*f - 11 = -5*w - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(847) - sqrt(847)) + (sqrt(7) - (sqrt(7) - (sqrt(21)\/sqrt(3) + -5))) - -2*sqrt(21)\/sqrt(192))**2.\nAnswer: 635*sqrt(7)\/2 + 113303\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 9 + 15)*(2*l - l**2 + 0*l**2 - l**2).\nAnswer: -40*l**2 + 40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(2\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*x = 14364, 5*i - 15906 = -3*x + 19995. Let w(t) = -1 + 4 + i*t - 7179*t + t**2. Calculate w(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 23436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -1 - 11. Solve 4 = j + s - 2, -j + q*s = 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291902105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 694400?\nAnswer: 1\/347200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 6*g - 32. Suppose 2 = 5*m - g. Suppose 9 + 9 = m*o. Solve -l + o = -4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 188.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -958879, -958883, -958891, -958903, -958919?\nAnswer: -958939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80261 and 249?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -1033317*w + 49. Let u be r(-3). Round u to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(1 + -2*(-3 + sqrt(567) + -2) + -1)*-5.\nAnswer: -50 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/11)\/r)**(-3\/2)*((r**(2\/9)*r)\/r)**(11\/3) assuming r is positive.\nAnswer: r**(1213\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 divided by 4?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**7\/420 - 2*o**6\/45 + 3*o**5\/20 + 3*o**4\/2 - 41*o**3\/2 - 19*o - 5. Let y(x) be the second derivative of t(x). Factor y(j).\nAnswer: 2*(j - 6)*(j - 3)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, -7, -97, -275, -571?\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 5944415 - 5944435, -v + h = -36 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, d: 4}. What is prob of picking 2 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8424938 is divided by 254?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1593?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 287 (c) 153 (d) 2\/9 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*a - 123, 2*r - a = -2*a + 42. Let c be 1*13\/((-169)\/(-1196)). Calculate the greatest common factor of c and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 12*f - 699. Differentiate 62*m + 59*m + 71*m - f - 210*m with respect to m.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - o + 50. Let q be -2*(o\/(-12))\/5. Which is the smallest value? (a) 4 (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 - 8.01. Let w = q - -8.26. Let y = 0.06 - w. Put -2, 2\/11, y in increasing order.\nAnswer: -2, y, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 6*b - 1. Let a be z(5). Let j(q) = q**3 + 5*q**2 - 6*q + 5. Let s be j(a). Let d = 6 - s. Solve -3*c + d = 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9238 and 65782?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -27. What is the remainder when 23 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*f - 2*h - 3, -5*f + 11 = h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 308356 and 77.\nAnswer: 23743412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 277\/3 - 92. What is g in -1\/3 + 0*g + j*g**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.56216 weeks in seconds?\nAnswer: 17879194.368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**4\/8 - d**3\/6 + d**2. Suppose -2*t + 1 = -3. Let l(z) = 0 - 3*z + 2*z + 0. What is t*c(y) + 5*l(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 2*r**2 + 2*r - 6. Determine g(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -28. Let a(g) = -8*g**3 - 9*g**2 + 8*g - 5. Let c(o) = -7*o**3 - 8*o**2 + 7*o - 4. Let f(k) = t*c(k) - 6*a(k). Let f(l) = 0. What is l?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 3 = 15. Suppose -3*p = b*f - 57, -4*f - 2*p - 37 + 109 = 0. What is the remainder when f is divided by 52\/6 - (-2)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16661.68 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2413 - 756. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4\/4 + 3*j**3\/2 - 20*j**2 + 69*j\/2 - 65\/4 = 0.\nAnswer: -13, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*l + 215 = -499. Suppose 4*c + 0*c = 96. Calculate the remainder when c is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 = 1. Let l = -7 - -35. Let o = -16 + l. What is the remainder when o is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*x + 93*x - 465794 = -65*x. Is 4752 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 14*b**2 - 4*b - 215. List the prime factors of y(16).\nAnswer: 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d - 28. What is s(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 14311521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 522 - 3653\/7. Let z = -5765\/17 - -339. What is the biggest value in -4, -2, z, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5866003 a multiple of 708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**11*f**(-16) assuming f is positive.\nAnswer: f**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/5, -5\/2, -25, -2\/7, 39413, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 - (-246 - -296 - (-1 - (16 + -2))).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (3*5\/15)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355 = -322*k - 2865 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 2*v + 4*v)*(4078 - 1734 - 1407).\nAnswer: 1874*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnvrrrrnna. What is prob of picking 1 r and 1 v?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-8)*2*73\/(511\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 4718148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x**3\/5 + 618*x**2 + 386802*x\/5 - 2861082\/5 = 0.\nAnswer: -261, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*p - 130704758 = 39162830. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 119\/34)*2\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + u = 2*u + 8, 5*d + 3*u + 3 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -5. Suppose 16 = -5*o + x*o. Let w be -2*(2\/15 + 57\/(-90)). Are w and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26289 is divided by 3270?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c - 2*c + (2*c + 3*c - 3*c)*(0 + 2 - 5))*(-c**4 + 2*c**3 - 2*c**3).\nAnswer: 9*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 6*j**2 + 18*j - 63. Give r(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 396, -3, 1, -26 in ascending order.\nAnswer: -26, -3, 1, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-100)\/(-325)*(-234)\/(-6). What is the greatest common factor of b and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*d + 5523, -l + 3*d - 5515 = -2*l. Let x = 12761 - l. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 1:49 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(sqrt(80) + sqrt(80) + (sqrt(80) + sqrt(80)*2)**2 + sqrt(80))*-1*-1*5.\nAnswer: -10799 - 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -142, -145?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 1 - (-1 + 2)) + 8.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*y + 29. Suppose 4*s = s + 444. Suppose y*q = -q + s. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**4\/3 - c**3\/6 + c**2. Let r = -25 - -31. Let t(s) = s. Let l(n) = r*t(n) - o(n). Give l(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13910)\/195 - -67)*(-2)\/26.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4550751781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 61408*b - 60571*b + b**2 - 2*b**2.\nAnswer: -b**2 + 837*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n - 16 = 0. Suppose 4*l = -4, 1880 = n*f - 4*l - 0*l. Find the common denominator of f\/126 - (2 - 0) and -121\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3024 + 3029. What is the second smallest value in -3, 149, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 276\/10 - 16\/(-40). Suppose 0 = -x - x + 6. Suppose 17 + x = 5*c. What is the highest common divisor of i and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 8*u + 3. Suppose f - 3 = -10. Let o be m(f). Is (5\/o)\/((-1)\/(-38)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27430783321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/17, -2\/13, -25.\nAnswer: -25, -2\/13, -2\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58402978?\nAnswer: 2, 587, 49747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/6*(-35)\/((-1085)\/(-558))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, a: 1, c: 2, l: 2, j: 1, v: 1}. What is prob of sequence vlal?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**2 + 12636*i**3 - 8*i**2 - 12430*i**3 - i**4 + 0 + 0 + i**4 + (2*i**3 - 2 + 2)*(-2*i + 0 + 0).\nAnswer: -4*i**4 + 206*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (11 - (-3 - -8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000512303 rounded to five dps?\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-174)\/45 - -4)*(35 + 0). Let d = 4 - o. Let s be 2\/5 - 8\/30. Which is the third biggest value? (a) s (b) 3\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvv when three letters picked without replacement from fffhvfhlhvvflvvhfhf?\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1102375304 to four decimal places.\nAnswer: -0.1102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90499737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Solve -4*h + 8 = 4*u - 0, 4*h + 13 = y*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -cb9 (base 14) in base 5?\nAnswer: -40030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j. Let b(p) be the third derivative of 1\/60*p**5 + 2*p**2 + 0*p**3 + 0*p**4 + 0*p + 0. What is r(b(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1732783163?\nAnswer: 1732783163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 26 = -3*v. Calculate the smallest common multiple of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(637) + 4*(sqrt(832) - sqrt(13))).\nAnswer: -70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54395\/(-3220) + 18\/(-168).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3050 = -2*p, 2*g + 3*p + 128 = -1409. Suppose -5*d + 16612 = -d. Let k = g + d. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -959 divided by 1130\nAnswer: -959\/1130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 85759 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: Let a = 65 - 66. Let w(r) = 7*r**2 + 1. Let g be w(a). Solve -g - 17 = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 0 - 4\/15*v**3 - v + 7\/60*v**4 - 1\/100*v**5 - 8\/5*v**2. Determine a so that c(a) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 3*v - 32, -q - 14 + 7 = -3*v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.59879ml?\nAnswer: 0.00459879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -636*s**2 - 1468*s wrt s.\nAnswer: -1272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z = 4*t + 60828, 91197 = -3*z + 3*t. What is the tens digit of (-1)\/6 - z\/264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-205)\/123*((-54)\/15)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*n - 16 = -0*c, -5*c - 24 = -n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*p, 0 = u + 5*p - 116 + 44. Is 47 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 + -3.6. What is the closest to -1\/4 in z, 1\/5, -0.3, -0.05?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*n - 60*n = -385058 - 81247. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*r + 17, -2*r + 0*r = 5*l + 7. Let g be (16\/20)\/(l\/(-15)). Suppose h - o - 99 = g*o, 186 = 2*h - 4*o. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -84) + (273 - 230 - 22)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1072 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 80 (c) 0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1005*(1 + -2) + (-312)\/(-156). What is the highest common divisor of 53 and u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 6:47 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 186 (c) 1\/4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.094 + -93.906. Let j = 3.179 + -97.2415. Let m = z - j. What is m rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**3 + m**2 - 4*m - 4. Let y be j(-1). Suppose -3*l + 61 = -y. Solve -4*v = -4*s + 20, -4*s + l = 3*v - 8*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*u - 86*u + 2 + 126*u + 101*u.\nAnswer: 271*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.0712 * -0.19\nAnswer: 0.013528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55750231?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfw when three letters picked without replacement from fmmnwwffpnmsn.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b + 3. Let u(w) = 19*w - 8. Let m(q) = 7*c(q) + 2*u(q). Let t be m(4). Let o = -5 - t. 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 d(h) be the second derivative of 8\/3*h**3 + 0*h**2 + 0 - 9*h. Let o(m) = -2*m. Give d(o(k)).\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 + (-79)\/(-3). Solve 0 = v - 3*h + 18, -2*v + 4*h + 0*h = t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y + 4 = 0. Let k be 6\/y*(-5 + 11). Let o(x) = x**2 + 7*x - 9. Is 9 a factor of o(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 + 1105161671859*l - 1105161671859*l + 7*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j**2*m**6 - 27*j**2*m**2 - 2*j**2*m + 11*j*m**6 wrt m.\nAnswer: 600*j**2*m**3 + 1320*j*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6330 and 6.\nAnswer: 6330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29719 + -29717. What is the fourth biggest value in -1\/5, d, -0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 - -59. Let b = 5 - c. Let u = 46 + -36. Which is bigger: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*(sqrt(539) - ((-1*(sqrt(539) + -2*sqrt(539)))**2 - sqrt(539))) - 1*3*(0 + sqrt(539)))*-3 + 4).\nAnswer: -3226 + 210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (174\/(-24) + 7)*(-1316)\/(-235)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 5*k - 2. Give q(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s + 6*s - 2 - 10*s. What is r(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126*n**4 + 1371569*n**3 + 138*n**2 + 1227*n - 6 wrt n.\nAnswer: -3024*n + 8229414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8165?\nAnswer: 5, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (36 - (75 - 93)).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 5. Let u(k) be the second derivative of -k**3\/6 - k**2\/2 - 4*k. Let h be (2 + -3)*(-2)\/2. Give h*r(n) + 3*u(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128 + 47. Calculate the greatest common factor of m and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(76)\/sqrt(4) + sqrt(209)\/sqrt(176))**2 + -4.\nAnswer: 8315\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - p - 25 + 17 = 0, p + 10 = -0*k - 0*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Round 45.457379 to 0 decimal places.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 8*z - 185. Let n be d(-8). Suppose 3*y + 56 = 5*y. Calculate the highest common factor of y and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502630 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 25 - (-10 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0716 less than -3997.706424?\nAnswer: -3997.634824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 1. Let p = -13.1 + t. Which is greater: p or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 16*m**2 + 341*m - 5232. Give b(20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 - -55. Suppose 22*g - 20*g - 2 = 0. Which is the second biggest value? (a) g (b) -2 (c) n (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -43.\nAnswer: 13\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, q: 5}. Give prob of picking 2 s.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + l**2 + 2. Let z be q(-2). Let m = 12 + -10. Suppose -4*p - z = -4*h + p, -m*p = -3*h + 7. What is the remainder when 1 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589971049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19, -77, -173, -307, -479, -689, -937?\n\"Answer: -19*c**2 - c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.2 + -3.11. Let o = l + -0.19. What is the biggest value in -3\/4, o, -3\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478365?\nAnswer: 3, 5, 31891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = a - 4*u + 1, -2*u + 13 = -5*a. Let q be ((-2)\/(-6))\/((-26)\/6). Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17406*q**4 - 277*q**5 + 17406*q**4)*(-3 + 2 - 2).\nAnswer: 831*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*j - 120 + 145 + 45*j to the form a*j + z and give a.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -469\/3 - -154. Let n = 3 + t. Factor -2\/3 + n*h**2 + 0*h.\nAnswer: 2*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/52)\/(138\/16)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5006778391.\nAnswer: 23, 179, 1216123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20201*p**3*z - 403*p**2 + p*z + 2*p + 1 wrt p?\nAnswer: -121206*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 + -114. Solve -5*c = -o*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1440140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2340139 seconds in microseconds?\nAnswer: 234013.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000587 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-391)\/69*-31 + (-4)\/6. Solve -146*g = -t*g - 58 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 689 - 689.2. Which is the nearest to 0? (a) 2 (b) n (c) 1 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/666*-6)\/(8\/(-6))?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - j - 11*j.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/4 and 95\/832.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 4*c - 5. Let u = -29 + 10. Let s(o) = -o**2 - 20*o - 22. Let i be s(u). Let b be n(i). Sort b, 0, -3 in descending order.\nAnswer: 0, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10497*n**5 - n**4 + n**2 + 73190*n?\nAnswer: 209940*n**3 - 12*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 285781927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**9*h**18)\/(h**(-1\/5)\/(h*(h**17\/h)\/h)))**(-36) assuming h is positive.\nAnswer: h**(-7776\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -32430 (base 5) to base 3\nAnswer: -10001222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -588 divided by -6.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*((-4 + sqrt(1700)*1)*3 + ((sqrt(1700) + 1)*-3 - (-1*sqrt(1700)*-5 + sqrt(1700)))))**2.\nAnswer: 42000*sqrt(17) + 1534900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 56361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -651, -781, -911, -1035, -1147, -1241, -1311?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -13011200133121?\nAnswer: -13011200133132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 928.5567l?\nAnswer: 928556.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjyyyjjjjjyj. What is prob of sequence yjjy?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1140713216?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24036 - 7878 = 3*l + 4*d, 0 = -3*l + 3*d + 16137. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**4*f**1\/f)\/((f\/f**6)\/(f**(2\/9)*f))*(f**(-1\/3)\/(f*f*f\/f**(-2\/3)))**(-1\/31) assuming f is positive.\nAnswer: f**(935\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 1:32 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(195)\/(sqrt(35)\/sqrt(7))*-3)\/(sqrt(243)*1 + sqrt(243) + sqrt(3) + sqrt(75)*3).\nAnswer: -3*sqrt(13)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 6:14 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 10:06 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 440590*r**4 + 88186*r - 6 wrt r?\nAnswer: 5287080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 7*a - 12. Let i(k) = k. Let f(h) = 4*h + 1. Suppose 0 = w - c + 5*c + 5, 5*w - 4*c + 1 = 0. Let o(q) = a*i(q) + w*f(q). Calculate o(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(147) + -2 + sqrt(147)*3*-6)**2 + -5.\nAnswer: -238*sqrt(3) + 42479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14424, 14427, 14430, 14433, 14436, 14439?\nAnswer: 14442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 27*m**3 + 26*m**3 - m**2 + 0*m**2 in the form u + g*m**2 + i*m**3 + z*m and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, p: 1, z: 3, g: 5, c: 3}. Give prob of picking 1 c and 1 z.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -21\/5*w**5 - 27\/5*w**4 - 18\/5*w - 33\/5*w**2 + 0 + 99\/5*w**3 = 0. What is w?\nAnswer: -3, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(120)*4)\/(sqrt(10) - (sqrt(30)\/(-1*sqrt(3)) - sqrt(10) - sqrt(10))).\nAnswer: -4 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3780, 3555, 3334, 3117?\n\"Answer: 2*x**2 - 231*x + 4009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -24.91. Which is the nearest to 0? (a) 4 (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15357 - -23370. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2210 divided by -10\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -6*i + 3*i + t, 3*i + 5*t = -5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -26657\/2 (b) 0.3 (c) 0 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/231 and -23\/297?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 3, -2.03, -1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quauvuuuuuvbuubu. What is prob of sequence qq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**7\/7 - 5*l**4\/6 - 10*l. What is the third derivative of s(r) wrt r?\nAnswer: 360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 989.9212 - -0.0788. Let f = w - 985.21. Round f to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 79. Let q be u(-10). Suppose -2*a - 32 = 44. Let z = q - a. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46865957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91058000 and 17600?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*x = -71, -5*k + 211*x = 213*x + 150 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**4 + 16*z**3\/3 - 10*z**2 + 8*z + 1. Factor w(q).\nAnswer: -4*(q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, n: 7}. What is prob of sequence nnnt?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -90 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w**3 - 257141*w**2 + 257141*w**2.\nAnswer: 27*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 10*h**4 + 815*h**3 - 6820*h**2 - 12815*h + 8010 = 0?\nAnswer: -89, -2, 1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.059 or 292?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 72458.8ng?\nAnswer: 0.0000724588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p - 2. Let h(d) = 1. Let y(t) = 2*h(t) + l(t). Let s(g) = -g + 1. Let j be s(-2). Suppose -4*k + 5 - 14 = -w, 5*w + 4*k = -j. Give y(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522 = 279*c - 261*c. Let v be (-4 - 138\/(-33)) + (-321)\/11. Is v > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*q - 4*q = -1, 4 = 5*c - 4*q. Suppose -7650 = -4*p + s + 3437, 4*p + 2*s - 11102 = c. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 1309*l**2 - 429024*l - 427716.\nAnswer: -(l + 1)*(l + 654)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 0, 29 + 7 = 3*a - z. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 94743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1041 + 21887\/21. Let c = -1\/7593 + 210083\/75930. Find the common denominator of c and k.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 9, 4, 22 in increasing order.\nAnswer: -31, 4, 9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 52 - 4b204a?\nAnswer: -4b1bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x, 2*x = -4*d + 3*x + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-3)\/(-9) - -773. Suppose 0 = -7*m + 4*m + o. Let d = -183 + m. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.523? (a) -0.1 (b) 1.87 (c) -2 (d) -3 (e) 9 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -248*m + 10904. Give k(40).\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -394a0 (base 11) to base 8\nAnswer: -156260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.4 (b) 5 (c) -122\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.032?\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 4*n**2 - 2*n - 129. Let m(l) = -4*l**3 + 14*l**2 + 6*l + 388. Determine -2*m(k) - 7*s(k).\nAnswer: k**3 + 2*k + 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2513, -19, -4\/11?\nAnswer: 2513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 76 - 13*o - 52 + 177.\nAnswer: -13*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*u - 435, 5*h - 451 = -0*h - u. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4917*a - 45. Let b(w) = -1640*w - 17. Calculate 8*b(f) - 3*m(f).\nAnswer: 1631*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((1 + -6 - (2 - (13 + -27))) + 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85*l**2*s*u - 132377*l**2*s - 3*l*u - 31*u wrt u.\nAnswer: -85*l**2*s - 3*l - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.6, -8, 3\/2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3}. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - -2.06. Let l = 15 + 1. Let h be (((-108)\/l)\/(-9))\/((-2)\/2). Which is the smallest value? (a) -5 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 5*g - 18. Let v(d) = -d**2 + 2*d + 2. Give 2*f(r) + 6*v(r).\nAnswer: -2*r**2 + 2*r - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*o + 2*t + 5, 24 = 5*o - 3*t. Suppose -o*c + 94 = 4*v - 6, 4*v - 92 = -c. What is the remainder when v is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 632\/7 + -90. Let w = 164\/5 - 33. Which is the biggest value? (a) w (b) d (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*54.37.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49 - 149)*(-12 - (-549)\/45).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2) - 104\/(-16). Let k be -55*(15\/(-10)*(-16)\/(-6) - -3). Calculate the highest common factor of x and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2271714 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 435 or 433?\nAnswer: 435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-43 + 38 - (-6 - 1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*c*d**3*l**2 - 25*c*d**2*l**3 + c*d**2*l + c*d*l**3 - d**3*l**3 - l**2 wrt l?\nAnswer: -150*c*d**2 + 6*c*d - 6*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 8*a**2 + 10*a + 13. Let n(d) = d**3 - d**2 + d - 9. Let f be n(0). Let l be x(f). Is 5\/1 + (-8)\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d. Let f(p) = -11911*p + 30. Determine f(c(v)).\nAnswer: 35733*v + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4360 and 34880?\nAnswer: 34880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240837, -240840, -240845, -240852, -240861, -240872?\nAnswer: -240885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.78128 and -193541001?\nAnswer: 193540999.21872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**2\/2 - 6*v + 663. Let s be (4\/4)\/((-1)\/(-5)). What is i(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*o**2 - 263*o**2 + 0*o + 2*o + 50*o**2 in the form l*o**2 + n*o + h and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 18 = -2*n, 0 = 5*n - 9*n + 2*f + 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(228)*-2 + (sqrt(228) - (sqrt(228) - 5*sqrt(228)*2))))\/(6*sqrt(12)*2 + sqrt(24)\/sqrt(2)*5).\nAnswer: -28*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 344369.8t?\nAnswer: 344369800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 7*q**2 + 2*q + 9. Let u be m(-7). Let y be 8\/28 + (-4)\/(-14). Let r = y - 19\/21. Which is smaller: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + (2 + sqrt(468) + sqrt(468) + -4 - ((3*sqrt(468) - sqrt(468))*3 + sqrt(468))).\nAnswer: -30*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1917 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40535?\nAnswer: 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*u + 1101, 3*u - 2*u = -5*i + 1835. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165528 and 33880.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5823463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 1 + (4 - (0 - 2)). Solve 5*s - 1 = t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/224388 and -11\/747960.\nAnswer: 2243880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**3\/3 + 7*p**2\/2 + 14*p - 4. Let g be k(-4). Solve -4*t + 2*z = -6, z - 15 = -3*t + g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 5*g + 220, 2*q - 49 = 5*g + 18. Solve -37 = 2*m - q for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*l + 15*l + 5*l + 5 as q*l + w and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 276 and 8679996.\nAnswer: 199639908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 4:26 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/5*(-80)\/32. Which is the closest to 0.1? (a) 0.3 (b) 0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/19? (a) -112.2 (b) 4 (c) 144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*d**2 + 7*d**2 + d**3 - 2 - 2*d**2 - 2*d**2 - 20*d + 3*d**2 as r*d + n + s*d**3 + g*d**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 3*x**2 + 2*x + 5. Give v(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3954 (b) 1\/4 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 255 + -199. Let w be (1*-1 - 0) + 15. Calculate the greatest common divisor of w and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*p = -58*p - 65*p + 285 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 301 + -298. Solve 0 = u*t - 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1452)*-2)\/(sqrt(108)*-1))\/(-5*-1*sqrt(50) + sqrt(50) + sqrt(50)*1*2) + 4)**2.\nAnswer: 11*sqrt(2)\/15 + 115321\/7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**4\/4 + 13*p**3\/3 - 6*p**2 + 18*p - 3. Is z(12) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 8*v**5 - v**3\/3 - 360*v - 137. Find the third derivative of o(f) wrt f.\nAnswer: 960*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17366 + 17366. Sort -66, p, 2\/3, -2 in decreasing order.\nAnswer: 2\/3, p, -2, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.63 - -18.17. Let r = m + -19. What is the closest to -1 in 4, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*l - 3*l**4 + 2*l**2 + 2*l**3 + 20*l**4 - 47*l in the form s*l**2 + w + d*l**3 + t*l + v*l**4 and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -9) + -13 + 0 + 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 0)*-1 + 2. Let q = n - 1. Calculate the remainder when 32 is divided by 34\/(2 - (q + 1)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 5*j**2 - 5*j - 3. Calculate n(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032773 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.66 rounded to one dp?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 19*h**2 + 32*h + 37. Let a be y(17). Solve 0 = -a*w, l + 4*w = 5 - 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*-2 + -204)\/(-2). Suppose -q = -5*f - w, q - 2*q + 43 = -2*f. Let t = 35 + f. Calculate the remainder when t is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 + -131. Let m = z - -111. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 - 3*r**2 + 13*r + 20. Let z be i(-7). Suppose 463*y + 300 = z*y. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4914, 9230, 13546?\nAnswer: 17862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 24 + (165 - 181).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + 3 - (9 + 0 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5))**42*(t\/((t*t**9)\/t)*t)\/(t*t*(t\/(t**(-8)*t))\/t))**(-34) assuming t is positive.\nAnswer: t**(-136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20 = -5*v - k, -4*v = 3*k - 16. Suppose -2*x = -v*x. Let z be (-5)\/(-6) - (1 + x). Put 2, -0.4, z in increasing order.\nAnswer: -0.4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1963*27\nAnswer: 53001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-30 + -3 - -6) - (-60 - 36)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 83c + 78?\nAnswer: 8b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75.49 + -75.59. Which is smaller: -2238 or p?\nAnswer: -2238","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**3\/3 - 4*f**2 - 57. Suppose 4*q - 12 = 4*z, z + q + 2*q + 7 = 0. Let o be -1 + z\/2 + -4. Calculate s(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - w**2. Let m be r(0). Suppose -5*i + 2*p + 45 = -m*i, 3*i = p + 26. Solve -5 = 3*a + i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-five quarters of a meter?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15809.\nAnswer: 15809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(400))\/((1*sqrt(48))\/sqrt(6))*6 + -4.\nAnswer: -4 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 208, 0.3, 1, 1\/6, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 83*j + 225. Give w(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, d: 3}. What is prob of sequence rddd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 3*a + 7 + (0*a + 0*a + 2*a)*(1 + 4 - 3) + 1 + 2*a - 1 + 0*a + a + 3*a + 3*a + 3 - 3 + (-5 + 0 + 3)*(-a + 4*a - a) to p*a + q and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**8\/112 + 3*u**7\/7 + 131*u**6\/40 + 42*u**5\/5 + 17*u**4\/2 - 3543*u**2. Solve d(h) = 0.\nAnswer: -2, -1, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -7*z**6\/30 - z**4\/6 + 29*z**2 + 23*z + 3. What is the first derivative of k(g) wrt g?\nAnswer: -28*g**3 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n - 7 = j + 40*n, 3*j + 4*n + 19 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92270, 92287, 92318, 92363, 92422?\nAnswer: 92495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**4\/6 + 3*s**2. Let h(u) = -u**3 + 4*u**2 + 6*u - 1. Let k be h(5). Let t(q) = q + q - k*q. What is t(l(a))?\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*b**5 - 2465*b**4 - 405*b**3 + 2465*b**2 + 330*b = 0. What is b?\nAnswer: -1, -2\/15, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5383.00341 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**7\/280 + x**6\/360 - x**3 + 3. Let y(l) be the third derivative of c(l). Determine y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286662.\nAnswer: 2, 3, 47777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -297 - -302. Let h(f) = -f. Let u be h(2). Which is the third biggest value? (a) u (b) o (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82129 (base 10) to base 16\nAnswer: 140d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/1562 and -55\/568?\nAnswer: 6248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12997 = -2117*t - 94970 for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**3 + 20*z**2 + 11*z + 28. Let x(y) = -16*y**3 - 99*y**2 - 56*y - 141. Let d(i) = -11*f(i) - 2*x(i). What are the prime factors of d(-23)?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -10*g + 127. Determine q(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -351 (base 15) to base 3.\nAnswer: -1000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*a - 4202 = 6519, -10733 = -d - 2*a. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 321?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - z + 18. Is l(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1.5. Let m(g) = 4*g. Let j be m(4). Suppose 8*l - j = 12*l. Sort -2, d, l in increasing order.\nAnswer: l, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 182107817 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/21, -3\/2, 1\/4, -57, -2, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 1 - 6*p + 2*p. Suppose 30*f + 1456 = 4*f. Let a be (f\/(-20))\/((-1)\/((-10)\/(-4))). Calculate h(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.07674 + -15.45292. Let h = w - 9.623854. Let c = h + 20. What is c rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -d + 28, -3*w = d - 5 + 17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 5835*a - 52598. Give z(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 5:45 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or 0.05?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6144, -10417, -14690, -18963?\n\"Answer: -4273*s - 1871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -20. Let b(w) = -w + 7 + 0 - 2*w + w**2 - 5*w. What is the units digit of b(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**3 + 60*s + 80 = 0. What is s?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8 + (-227020)\/(26 + -46)?\nAnswer: 3, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:54 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -16*r**2 + 51*r - 16. Let o(u) = 3*u**2 - 10*u + 3. Let k = 147 - 145. Let n(h) = k*l(h) + 11*o(h). What is n(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28 and 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -53*j**2\/6 + 4532929*j\/6 + 28509 = 0.\nAnswer: -2\/53, 85527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92 + 435. Suppose 5*x = -2*g + q, -2*x - 5*g = -6*x + 248. Calculate the remainder when x is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/350 and -21\/500.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/60522 and 157\/86460?\nAnswer: 605220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1.48, 23 in decreasing order.\nAnswer: 23, 1.48, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(2\/37)*l\/(l*l**8)*l*l**(1\/9) assuming l is positive.\nAnswer: l**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8238?\nAnswer: 2, 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2319882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055546 minus -254?\nAnswer: 253.944454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 97\/6 - (-1)\/(-6). Let l be ((-6)\/(-8))\/((-1)\/(-76)). Let j = -41 + l. What is the greatest common factor of j and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*a + 4*m, 0 = -4*a - 15*m + 17*m - 10. What is the closest to a in 3, -0.045, 2\/21, 0.07?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 4, 12, 1, -3, 0 in increasing order.\nAnswer: -51, -3, 0, 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13317054?\nAnswer: 2, 3, 67, 157, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 298610671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 72 = -0*u. Calculate the greatest common factor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + 90\/12)\/(2\/16). Let h be (w + -5)*(-10 - 2). Solve -5*z = -z - h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 176 - 111. Suppose o - 2*a = 4*o - j, -4*o + 2*a = -82. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 3*f**2 + 2*f**2 + (6*f - 3*f - 2*f)*(-2*f + 5*f - 2*f))*(0 - 49 - 12).\nAnswer: -183*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - (-11)\/3)*0. Suppose 4*v - 88 = -h*v. What is the remainder when 85 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/18 - (-1)\/6. Solve r = 5*f - 4 - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -91 - 3. Let a(y) = y + 56. Let s be a(-8). Let h = s + k. Do 1\/9 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15751 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: Solve q + 3*i - 10 = 0, -4106*i = -2*q - 4105*i - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 10 + 9*j**4 - 6*j**2 - 8*j**4 + j + 7*j. Factor l(v).\nAnswer: 4*(v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - 25*c + 45. Let d be z(21). Find r such that -d*r**2 + 1117*r**2 - 386*r**2 + 42 - 377*r**2 - 9*r**3 + 111*r = 0.\nAnswer: -7, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310441 less than -41?\nAnswer: 310400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20116011 is divided by 132.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1158 divided by -128040?\nAnswer: 193\/21340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**0)**(-2\/33)\/(k*k**(2\/9)*k**(2\/7)\/k))\/((k*((k\/(k**9\/k)*k)\/k)\/k)\/k**(-7))**(-32) assuming k is positive.\nAnswer: k**(-394\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5)*(a*a\/(a\/(a\/(a\/(a**1*a)))))\/a)\/((a*a*a\/a**0)\/a)**(-1\/9))**(-18) assuming a is positive.\nAnswer: a**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 15*k + 40. Calculate j(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -20\/3 (b) -1 (c) 3\/13 (d) 5 (e) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*l**3 + 178*d*l**2*v + 2*d*l*v - 650*l**3*v wrt l?\nAnswer: 6*d - 3900*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -0.1 (c) -5 (d) 52 (e) -0.3 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j - 119. Calculate w(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l = 0. Suppose -5*y + 851 + 1139 = l. Suppose 70 = -3*w - 5*d + 292, 0 = 5*w - d - y. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -479 (b) -2\/9 (c) 0.4 (d) 2 (e) -4 (f) -10\/3 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 6*a + 1. Let d be v(5). Let c be 1\/(4 - 21\/d). Suppose -10 = -5*r, -c*r - 218 + 27 = -3*n. Does 38 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 76*h + 400, -25 = 17*a - 35*a + 15*a + 2*h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678.8862 rounded to the nearest 10?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 40. Let r be (-2)\/(-4)*-5*y. Let c = r + 16. Are -25\/3 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22496 and 9472?\nAnswer: 179968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/9 - (-8)\/(-36). Suppose 4*q + 5*n = -7 - 1, n = -4. Solve -q = -2*y + p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*b + 50*b = -30. Let q be 1\/2 + (-18)\/4. Let j be (3 + 1)*(-1)\/q. Put j, b, -1 in increasing order.\nAnswer: b, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 104. Let m(f) = -4*f + 191. Calculate 6*m(k) + 11*v(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 13*z - 26. Let x be g(-15). Suppose -2*u = 4*t - 2, x = 2*u - 6*u. Which is greater: t or 2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/251 (b) -2\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-77)*21\/66.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s + 11. Let g be l(6). Is g less than 2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**3 - 18*n**2 - 75*n - 21. Let h be y(-41). Suppose 9*t + 81233 = h. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + s - 2*s + (0 - 1 + 0)*(0 + 0 - 2*s) - 4048 + 4048 + 107*s to the form x + n*s and give n.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqb when three letters picked without replacement from xxxqxbbbxbxqxbxx.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2113 less than -1287.67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2681*r**2 + 24*r - 105. Is o(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 382.6869ng to tonnes.\nAnswer: 0.0000000000003826869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -289 - 4.41\nAnswer: -293.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5 + 3*w + 19*w - 8*w - w - w**2. Let p be 11 - ((2 - -7) + -11). Calculate a(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2184, 2183, 2182, 2181, 2180?\n\"Answer: -s + 2185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5342 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -o + 28. Let y(k) = -41*k - 2. Let q be y(-3). Let u = 26 + q. What is the greatest common divisor of u and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**3 + 1728*d**2 + 1716*d - 3448 = 0. What is d?\nAnswer: -431, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 224 - -158. Let h = u - 381.9999185. Round h to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/24 and -103\/17261612.\nAnswer: 103569672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04 + 0.06. Let d = 7999\/181637 - -2\/2711. Let t = 76\/201 - d. What is the closest to 2\/7 in t, 5, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 720\/(-32)*(116\/(-18) + 6). Solve 47 = k*n + 107 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*a - 44. Let t be (3 + 0)\/(2*a\/(-430)). Suppose -5*g = 2*p - 151 - 167, -t = -2*g + p. Calculate the remainder when g is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -15*c - 25. Let t = -568 - -570. Suppose a + 108 = 5*a. Let q(i) = 30 - a + 2*i - 2*i + t*i. Calculate 3*b(k) + 25*q(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -0.2, 7, -0.3, 2\/3, 1524?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11597 - 11587. Calculate the highest common divisor of 955 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**5\/20 + f**4\/12 + f**3\/6 - 13*f**2\/2 - 5*f. Give o(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43241 + 231001?\nAnswer: 132210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/10))**18)**(-2\/33)*l*l\/(l\/l**(-1\/11))*l**(-1\/10)*l**(-3)\/l**6 assuming l is positive.\nAnswer: l**(-83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64503 or 1\/237?\nAnswer: -64503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5241640, -10483272, -15724904, -20966536?\nAnswer: -26208168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -20*j**2 - 1. Let n be c(-1). Let b be (8\/(-14))\/(54\/n). Factor -b*a**2 + 0*a + 0.\nAnswer: -2*a**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - m - 7. Let l(s) = -4*s + 2*s + 6 + 3*s + s**2. Let a(h) = 5*j(h) + 6*l(h). Give a(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1455 times -0.13?\nAnswer: -0.018915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a + 39. Let b be q(-9). Suppose -b*k = -11*k + 584. Suppose 65 = 2*f + k. Let r(u) = -3*u - 3. Calculate r(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -g + 18, 3*g - 3 = v + 41. Let l(d) = 7*d - 96. Let c be l(g). Solve f = -4*t - 17, -4*f + 5*t - 3 = c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, a: 6, j: 2, y: 4}. What is prob of picking 1 p, 1 y, and 1 a?\nAnswer: 72\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 69413, 138825, 208237?\n\"Answer: 69412*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-38)\/3)\/(3\/(-9)). Suppose -5*q - 3 + k = 4*l, -2*q = 5*l - 48. Calculate the highest common factor of 15 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*x - 3*w + 1, -w + 4 = 0. Suppose 4*o - 8 = -4*q, 5*o = q + 2*o + x. What is the remainder when 25 is divided by q - -1 - -1 - -11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3866292 + -0.4\nAnswer: 3866291.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 1, z: 2, x: 2, j: 2}. What is prob of picking 1 j and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -5*m - 60, -20 = -v - m - 16 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*v = 119*v + 151168. Suppose -56*u + v = -12800. List the prime factors of u.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0034018 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:06 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + o - 1. Let i be (-8)\/3 + 13\/(-39). Let k(d) = 6*d**2 - 2*d + 9. Let m(x) = 7*x**2 - x + 10. Let v(r) = i*m(r) + 4*k(r). Give 5*n(b) + v(b).\nAnswer: -2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/143424 and -25\/963792.\nAnswer: 319978944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4692)\/(-12903))\/(6\/(-759)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5852 and 597646?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -51551, -103508, -155435, -207326, -259175, -310976, -362723?\n\"Answer: y**3 + 9*y**2 - 51991*y + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 2:44 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 14) + (10 - 2) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, g: 1, j: 1, m: 4}. Give prob of picking 1 f, 1 g, and 1 m.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527800453.\nAnswer: 527800453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*r - 4*i + 13 = -224*r, -3 = i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from don.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 4*q - 80. Let k = -7 - q. Let f = k - 13. Solve f*s - 15 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (25\/(-10) - 2)*(-16)\/6. Suppose -d + j = 7. Solve 0*i = -2*i + d*c, 17 = 5*i - 4*c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 4*o**2 - 5*o + 1. Let i be z(-5). Let l be (-1 - i)*-1 - 1. Let k(n) = 36*n**2 + 2*n - 1. Is k(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3032, 6064, 9096, 12128, 15160?\nAnswer: 18192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from {b: 1, x: 2, k: 2, q: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1675\/224 + 99\/32. Let q = x + -821\/77. Let n = 0.9 + 0.1. What is the closest to n in -3, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15026230 (base 7) in base 3?\nAnswer: 2200002011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -248216680, -496433360, -744650040, -992866720?\n\"Answer: -248216680*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 38148 and -861.\nAnswer: 37287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4344*q + 4342*q - 8686*q + 3*q**2 + 19*q**2.\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbbbbbrjbbj. What is prob of picking 2 r and 2 b?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:16 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83567 divided by -3.\nAnswer: 83567\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8903 (base 11) to base 5\nAnswer: -333430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**7)\/((o\/o**(-1\/10))\/o))**(4\/21)*((o**(2\/3)*o)\/o)**(-5\/7)*o**(-3)*o\/(o\/((o*o\/o**(-1\/4))\/o)*o)*o assuming o is positive.\nAnswer: o**(-101\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 0 - 4 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 1063 - 343. Suppose 314 = 2*i + 3*s, i - s - 4*s = j. What is the greatest common divisor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89967160?\nAnswer: 2, 5, 2249179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(1\/(-4))\/(91\/26).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 10) in base 7?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*s**2 - 26*s + 26*s)*(-3 + 3 + 1) + (3*s**2 - 2*s**2 - 2*s**2)*(4 - 6 + 3).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and 41.6.\nAnswer: 873.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 6*b - 10 - 50, -4*b + 40 = -2*a for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 0*q**2 - 2*q**2)*(-2 + 3 + 1)*(2 + 1 + 0 - 1 + 3 - 3 - 4 + 3 + 3 + (5 - 5 + 1)*(0 + 2 + 0) + 26 - 19 + 98)*(2*q - 3 + 3).\nAnswer: -888*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -460.74?\nAnswer: 461.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -485 + 13 = -4*f. Let c be 160\/2*(-2)\/4. Let n be 15*f\/(-12)*c. Round n to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 2:33 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-1*-6 + -3)*-6 - 3*(-2 + sqrt(91)\/(sqrt(7) - sqrt(700)))**2.\nAnswer: -112*sqrt(13)\/3 + 149\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 390 - -78. Suppose -177 = 3*g - u. Let j = 99 - g. Solve -5*q = -j*f - 3*q + 18, -2*q - 10 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -2 - (5 + 12 + -12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, k: 5, h: 12}. Give prob of picking 3 h and 1 s.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 2976215\nAnswer: 297621.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 + 0.1. Let p be (6*(-4)\/(-60))\/((-24)\/20). Sort i, 4, p in increasing order.\nAnswer: i, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 89 = -5*c, 0 = 5*y - 0*y - 2*c + 169. Let g = y + 35. Solve 2*h + 2*h = 0, -g*o = 5*h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 458289 - 458289.1. Let u = 1.3 - 0.3. What is the closest to 0 in b, u, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -64016, -4, 3, 5, 0.1?\nAnswer: -64016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/3696 and -85\/336.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*7\/14*6\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from gzugmzmgdm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9, 53, 157, 345, 641, 1069?\n\"Answer: 4*a**3 + 6*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -43 times -11659.83\nAnswer: 501372.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + 115 + 103 + 70)*(j**4 + 29*j**4 - 3*j**4).\nAnswer: 8910*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 92997622 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 + 4*w**2 - 4*w**2 + (11*w - 22*w + 9*w)*(7*w**3 + 0*w**3 + w**3) + (-w**2 - w**2 + 4*w**2)*(-w**2 + 6*w**2 - 3*w**2).\nAnswer: -10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11614 + 11623.981. Let p = -10 + h. Let u = -0.0252 - p. Round u to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9546 divided by -4.\nAnswer: 4773\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((500\/(-60))\/(-25))\/((5\/6)\/5). Solve 2*l = -3*k, -w*k - 3*k + l = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105010870 and 214.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-9*(6 + (-247)\/39)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 136)\/(2 - -1). Let m = f + -46. Let h(i) = i**2 - i. Let p be h(0). Which is smaller: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 5*d - 8 = 0, 0*d + 4*d - 4 = -4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -105*b - 1145. Is o(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -828, -7\/22, -96.\nAnswer: -828, -96, -7\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.685 + -376814853\nAnswer: -376814853.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 32 = 2*i, 4*i + 5*h = 2*i - 8. Let s(l) = l + 3 + 5 + 2*l. Let y be s(i). Solve 5*d = 2*m - y, -m + 23 = -0*m - 5*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47588 + 0?\nAnswer: -47588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2727 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 times -4\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1950*n + 1464*n + 1449*n.\nAnswer: 963*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 12. List the prime factors of ((-6)\/2)\/(l\/(-30)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**4*u**2 - 2760931*o**4*u - 6*u**2 - 472*u + 2751 wrt o.\nAnswer: 4*o**3*u**2 - 11043724*o**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45385 and 3.\nAnswer: 136155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1524 - 2653. Let q = 1137.432 + y. Let r = q + -8.9. What is r rounded to 2 decimal places?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4847 and -4756 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, r: 4}. Give prob of sequence hhhr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2 = b. Let v be b*13 - (-2 - -3). Suppose v = 3*y + 7. What is the smallest common multiple of 11 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -5 + 0*m**4 + 0*m**5 - 2\/3*m**3 + 0*m - 1\/3*m**6 + 0*m**2. What is the third derivative of c(u) wrt u?\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**4\/24 + a**3\/3 + 4*a**2. Let x(q) = q. What is -r(d) - 2*x(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 135 = 82*t - 23*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 416*u**2 - 11*u - 26. Let l be p(-2). Let y = l + -687. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-10))\/f**2 assuming f is positive.\nAnswer: f**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175 + -180. Let g(f) = f**3 + 4*f**2 - 8*f - 8. Let c be g(q). Solve c*d + 1 = -6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.19 - -13.19. What is the closest to -2 in m, 3, 0, -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*g + 27. Let t = g + 9. Find the common denominator of ((-14)\/4)\/(-8 + t) and 39\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/(-10))\/((-8)\/(-20)). Let j be (-10)\/4*(1 - 3). Suppose -7*a = -g*a - j. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20000111 + -201010120?\nAnswer: -111010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*w)*(3128*w + 2131 - 2131).\nAnswer: -9384*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -198, -540, -856, -1134, -1362, -1528, -1620?\n\"Answer: 2*h**3 + h**2 - 359*h + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -44?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - -3 - 32\/(-184). Sort -0.3, t, 1, 0.4 in increasing order.\nAnswer: -0.3, t, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + 14. Let a = u + 1. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/118 + 22\/177. Calculate the common denominator of 43\/42 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 20941*k**2 - 20934*k + 125640.\nAnswer: -(k - 2)*(k + 3)*(k + 20940)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 103 + -b?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 75*b**2 - 2415*b + 3338. What is the first derivative of u(m) wrt m?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*t - 32*t + 12*t)*(-2 + t**2 + 0 + t - 2*t**2).\nAnswer: 3*t**3 - 3*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8773 + -1874. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 646 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7968 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2474 + -0.30167337.\nAnswer: -2474.30167337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = d + 21, -3*d + 27 = -3*a - 0*a. Let z(o) = o + 7. Let t be z(a). Let f(h) = 5 - 5 + h**t. Let j(p) = 3*p. Calculate j(f(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/3 and (-111)\/6*(-18)\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 237 + -233. Which is the biggest value? (a) -2 (b) s (c) 5 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/10)\/f)\/(f\/(f*f**(-4\/9))))\/(f**10*f*(f\/f**3)\/f) assuming f is positive.\nAnswer: f**(-859\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/30 + 82\/(-6). Let m = -10 - j. Solve m*r = -5*p - 2*r - 15, 4 = -2*p - 3*r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1062 and 495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1 (b) 674 (c) -49.6 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-12) - 55\/(-6). Calculate the highest common factor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 5319 = 7*k - 5184, -3*q - 33 = 2*k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmkykkkm. What is prob of sequence mkmk?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**4 + 15 + 2*c**2 - 86*c - 2*c**4 + c**3 + 84*c as j + p*c**2 + g*c**4 + s*c + l*c**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2. Let s(o) = -33*o**2 + 2*o - 3. Calculate 3*n(f) + s(f).\nAnswer: -39*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 12 = 4*h, h + 0 = -2*z + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 - 4\/(-2 - -1) - -3. Suppose 3*d = 4*y + 33 + 2186, -5*d - 4*y + 3677 = n. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziiihxsi. What is prob of sequence zxii?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytygqpypqpww. Give prob of sequence yw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45.043 + -45. Let p = t - 0.04299958. What is p rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/39260158 and -23\/50477346?\nAnswer: 353341422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -1\/3*h**3 + h**2 + 24*h - 108 = 0.\nAnswer: -9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2\/21, -911?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -3*n - p + 17, -n + 2*p - 13 = 0. Let w be 34\/12 - (-4)\/24. Let g = w - n. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrrjoif. What is prob of picking 1 o and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*t + 23 = 0, 3*o - 5*t - 50 + 13 = 0. Find the first derivative of 25*d**4 + 3*d**4 - d**4 - o + 4*d**4 wrt d.\nAnswer: 124*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 + 6*m**2 - m - 1. Suppose 3*b + 78 = 5*o, 2*o - 43 = b - 11. Let h be (-2)\/(-3) + 60\/o. Let g be d(h). Round g to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 - 0.03. Let d = 1.1 + -1. What is the closest to 0.2 in g, d, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + s - 2*s)*(s - s + 2*s) - 27 + 27 + 4*s**2 + (5 - 5 - 4*s)*(34 - 34 - 2*s).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -64437 - 110099 + 37756. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**3 - 4*q**2 - 6*q - 14. Let w(y) = y**3 - y**2 - y - 1. Let a(x) = -o(x) + 5*w(x). Let l be a(0). Let h = -4 + l. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18895, 37927, 56959, 75991?\nAnswer: 95023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742 is divided by 125.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**5\/60 + g**4\/12 - g**3\/3 - 7*g**2 - 16. Let q(o) be the second derivative of c(o). Give q(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2103230 - -12133?\nAnswer: 2122023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*r = 9, 40*r - 37*r = -a - 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110722 + 170914. What are the prime factors of q?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173\/(-5*4\/(-200))?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*h + 999*h + 891*h + 15294 = 64758 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 4, 2*m - 472 = -3*z - 10*m + m - 441 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5875.3 - 5879. Sort d, -1\/3, 42\/11.\nAnswer: d, -1\/3, 42\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 2*z**2 + 6*z - 48. Determine v(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/392 and 187\/41160?\nAnswer: 41160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -54 + 9462?\nAnswer: 940a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 3\/2*r**2 + 3*r + 2. Suppose 2*g = -10, k + 0*k + 12 = -2*g. Give a(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1324 is divided by (340\/(-255))\/(4\/(-234))?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3020296 by 1.\nAnswer: -3020296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/4 (b) 3\/2 (c) 50102 (d) -0.13 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -292, 2, -3, -4 in descending order.\nAnswer: 2, -3, -4, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 15*z = -18425. Suppose h - 2199 + 489 = -3*y, 4*y + z = h. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12564157?\nAnswer: 12564157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372*p**3 + 54*p**3 - 57*p**3 - 180*p**3.\nAnswer: -555*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*a**3*s**2 - 2*a**3*s + 20*a**3 + 6*a**2*s - 2*a*s**2 wrt s?\nAnswer: 122*a**3 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**4\/2 - 23*m - 7. Let w(s) = -3*s + 47. What is n(w(d))?\nAnswer: -54*d**2 + 1692*d - 13254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 617483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1116 - -1117.059. Let l = 0.059 - p. What is the closest to l in 0.2, -2\/21, 1\/7, 0?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, p: 3, o: 1, w: 2, m: 1}. What is prob of sequence wee?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -171*r**3 + 5*r**2 + 5*r + 6. Is 28 a factor of h(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 6307?\nAnswer: -1261.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (38 + 0)*(-2394)\/(-252). What is the highest common factor of 95 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)*-2 - -20. Suppose -5*x + 978 = -0*x - 3*j, 0 = -5*x + j + 986. What is the greatest common factor of h and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8527 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69\/2 - -36. Let o be (-2)\/10*17 - -3. Let q = -1.1 - 2.9. Sort n, q, o in decreasing order.\nAnswer: n, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3 (c) 2\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 22*f**2 - 15*f + 19. Let w = -182 - -164. Is p(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-150)*-12*-1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 7. What is the remainder when 22 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 27. What is n(-20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 0.5 (b) 1 (c) -1 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5265868 divided by -4?\nAnswer: 1316467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006164 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.093 and 1.6.\nAnswer: -0.1488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**2 + b + 2. Let k = -3 + -1. Let v(j) be the third derivative of -j**4\/12 - j**3 + 45*j**2. Let c be v(k). Give a(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1376 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2448167104*o**2 - 2448167104*o**2 + 99*o**3.\nAnswer: 99*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 4*k + k)*(k - 7 + 7) + k**2 + 3 - 3 + (-1 - 5 + 2)*(5*k + 2*k**2 - 5*k) - 2*k**2 + 3*k**2 + k**2 + 2 - 2 - 2*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44214 is divided by 378.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1431 (base 9) to base 8.\nAnswer: -2071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -6 (c) 2 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m. Let u(n) = -2*n. Let p(b) = 5*a(b) + 24*u(b). Let g be 2\/6*(23 + -2). Let t(z) = -g*z + 4*z + z + z. Calculate t(p(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001928902 to five decimal places.\nAnswer: 0.00193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 e when three letters picked without replacement from {k: 1, d: 2, e: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -31. What are the prime factors of 4 + h + 2 + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, v: 1, d: 1, t: 2}. What is prob of picking 1 t and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 6*t**2 + 3*t - 308. What is d(0)?\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 8:17 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*b - 355. Let m be (-2)\/(-10) + (-422)\/10. Let r = b + m. Is 28 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4353111 (base 6) to base 8.\nAnswer: 650043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (16 + -21)) + (2 - 22).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.6 + 40. Let k = -14 + g. Which is the third biggest value? (a) 9 (b) k (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013896263 to four dps.\nAnswer: -0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**5\/20 - v**4\/2 + 5*v**3\/6 + 7*v**2\/2 - 3*v. Let g = 2 - -4. Is x(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 387 (base 9) to base 15\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55 - -19) + (-34 - 0).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 - -159. Suppose 0 = -17*d + h*d. Which is bigger: -6\/11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 2. Let g be 12\/y*6\/(-20). What is the smallest value in 2, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - s + 2. Let t be p(0). Suppose 5*j - t*h + h - 25 = 0, 0 = 3*j - 4*h + 2. Suppose 3*m = j + 3. Solve 0 = -2*c + m*c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.5 - -3.496. Let z = f + -0.576. What is z rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 0*j + 2*j)*(j + j + 1 - 5*j) + (0*j - j + 3*j)*(11*j - 5*j - j) + 0 + 0 + 2*j**2.\nAnswer: 24*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -806\/75 + 819\/50. What is the common denominator of 44\/9 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-7\/5))**(-47)*(j**(7\/3)\/j)**(-32\/9) assuming j is positive.\nAnswer: j**(1898\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 1. Let y(x) = -2*x**2 - 10*x + 10. Let l(o) = 10*s(o) - y(o). Let h(a) = -11*a**2. Calculate l(h(r)).\nAnswer: 242*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 156 + 230 = 0. Suppose -10*k + r + 327 = 0. Let c = -34 + k. Calculate the least common multiple of 88 and c.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 19*q**2 - q - 1. Suppose 30 = -2*w + 5*w. What is the remainder when m(-1) is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2364538 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5*s + 5 = -0, s - 18 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**9*y)*y*y\/y**(2\/3)*y)\/(y\/y**(4\/7))**(5\/11) assuming y is positive.\nAnswer: y**(-1585\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 6)*1\/1 - -5. Suppose -h - a*l = -6*l - 20, 4*h = l + 65. What is the remainder when 108 is divided by -1*-1*(h - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34412 (base 9) to base 15.\nAnswer: 6bde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1598*l + 1594*l = s - 1, -2*l + s - 1 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - g. Let j(a) = -4*a**2 - 6*a + 10. Let m(u) = -5*h(u) + j(u). Let d be m(0). What is the greatest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1240 (base 7) to base 9\nAnswer: -571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2595326366?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 110 = -4*u + 431, -67 = -f + 2*u. What is the highest common divisor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -5. Let a(g) = 4*g - 5*g**2 + c - g**2 - 5*g + g**3. Let j be a(5). What is j rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13476 (base 9) in base 2?\nAnswer: -10001110110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473315462?\nAnswer: 2, 17, 13921043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + v = -2*f + 9, 5*f = 3*v + 28. Let n(p) = p - 1. Let k(d) = -3*d**4 - 5*d + 4. Let c(t) = f*n(t) + k(t). Find the first derivative of c(q) wrt q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-4) + -5 + 2. Let z be -6*2\/6*43. Calculate the common denominator of z\/24 + u + -1 and -17\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -1 - (-1 - (-14 - -18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**13*s*s**15*s assuming s is positive.\nAnswer: s**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*x - 51*x = 36120. List the prime factors of x.\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -144*i - 1390. Determine g(-10).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 119713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1311 divided by 19\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-21))\/(6\/10*25*(-48)\/22680)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 183 - 4?\nAnswer: 17e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10267648 and 21680.\nAnswer: 4336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + -0.9. Let p be (-6)\/(-3)*1*-5. Let z be (1\/p)\/((-6)\/75). What is the nearest to a in -5, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 9*p**2 - 7*p - 16. What is x(10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-610688)\/(-65) - (4\/5)\/4.\nAnswer: 5, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*x**6 - 3470 + 3470 + 32*x**2 wrt x.\nAnswer: 2040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-133 - 4\/(-8)*-2). Are -133 and r unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + ((sqrt(95) - 3*(sqrt(95) - 1*sqrt(95) - sqrt(95)))\/sqrt(5) - ((sqrt(19) + sqrt(95)\/sqrt(5) + sqrt(19))*-6 - (-2*sqrt(19) + -5))**2))*3.\nAnswer: -14682 + 492*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 17. Suppose o = x - 5*x + 36. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}