diff --git "a/data/dm_maths/full_data/1903_11255.jsonl" "b/data/dm_maths/full_data/1903_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1903_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 0 = 5*w + 5*z, w - z - 16 = 2*z. Suppose w*q + 61 = 229. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**3\/3 - 1. Let w = 12 - 28. Let p = 22 + w. Let a(q) = q**2. Calculate p*c(y) - 5*a(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 - 4*q**2 + 55*q + 172. Let m be z(-3). Solve -5*g + m = -5*a, -75*g + 5 = 2*a - 72*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -30.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -82 times 22\nAnswer: -1804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(1\/4)*j)\/j*j\/(j*(j*j\/(j\/((j\/(j**(-2\/11)\/j*j*j))\/j)))\/j*j))\/(j**(-5)*j**(5\/3)))**34 assuming j is positive.\nAnswer: j**(8755\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 226*o + 1056. Does 16 divide t(37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1427 or -1426?\nAnswer: -1426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 526.6 or 2?\nAnswer: 526.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen quarters of a day?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -n + 3. Find the third derivative of -3*q + 4*q**4 - 2*q**n + 3*q + 2*q**2 wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 0*s - 3*s + 0*s**2 + 105 - 102 + s**2 + 0*s**2 in the form o*s**2 + i*s**3 + r*s + q and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*c = -25, 2*o + 2082*c + 41 = 2079*c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 9*h**3 + 5*h**2 - 5*h - 19. Let r(b) = 10 + 503*b - 3*b**2 + 47*b**3 - 500*b - 52*b**3. What is 3*i(m) + 5*r(m)?\nAnswer: 2*m**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 25*d - 28*d - 5*p, 0 = 2*d - 4*p + 46. Sort d, 3, -4, -3.\nAnswer: d, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/25)\/(13\/(-9) + 1652\/3717).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1200*x + 8936. Let o be i(7). Calculate the greatest common factor of o and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -8*m. Let j(a) be the first derivative of -38*a**3\/3 - 1416. Give j(u(q)).\nAnswer: -2432*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 4714*u**2 + 313616*u - 5292168.\nAnswer: 2*(u - 2289)*(u - 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 467\/4 - 1839\/16. Let c(n) = n**2 - 5*n + 36. Let s be c(5). Find the common denominator of r and (-10)\/(-45)*9 + 26\/s.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -49*s + 47*s + 10, -25 = 2*s + 3*p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 155371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-34)*(-2)\/3*502\/(47188\/(-188))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 7 - 7 + (8*s - 8 + 8)*(-4 + 3 - 1))*(4*s + 5*s - 3*s) as h*s + v + w*s**2 and give w.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyyetvtvttejf. What is prob of sequence tjvt?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -0.0267?\nAnswer: 0.1733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -7*d + 4*d. Calculate the remainder when d is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -141 (b) 19 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wooo when four letters picked without replacement from oowowowowwwww?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -259053 minus -0.0443210035?\nAnswer: -259052.9556789965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12 - -2)\/(7\/((-21)\/(-6))). Let m(p) = -2*p**3 - 6*p**2 + 7*p + 13. What are the prime factors of m(f)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1067\/89 - 0\/(-22) - (-360)\/(-30).\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o - 1180 + 8*o + 2568 - 1388.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**3 + u - 5*u**3 + 10*u**3. Let w be r(2). Suppose 2*j = 5*f - 84, 40 = 4*f + j - 35. Calculate the greatest common factor of f and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-9)*2*(-3)\/12 + -3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9094 - 233. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -175, -414, -749?\nAnswer: -1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 20*x - 37. What is c(16)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 715370.8mg?\nAnswer: 0.0007153708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, x: 11}. What is prob of picking 1 y and 3 x?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(108)*-4 + -4*(-2 + sqrt(3)).\nAnswer: -28*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1192660 and 25761456?\nAnswer: 128807280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*h**5 + 4813*h**4 - 117*h**3 - 3185*h**2 - 6595*h.\nAnswer: -2820*h**2 + 115512*h - 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/25)\/((-24)\/(-45)). What is the nearest to 0.1 in -2\/3, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 13) to base 4.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 6) + 22 + (-15 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2090948 divided by 3?\nAnswer: -2090948\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303, -726, -1153, -1584?\nAnswer: -2019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1700.4 + 1700.8. What is the nearest to 2 in -5, -10, 28, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000748736514 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 93541.042 minus -755.499?\nAnswer: 94296.541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tswsddwrdrdddrwt. Give prob of picking 1 s and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {o: 2, w: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**2 + 276886*f - 3380396 wrt f?\nAnswer: 4*f + 276886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 196486209 from -0.28.\nAnswer: -196486209.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8613352?\nAnswer: 2, 11, 97879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 2.8\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 14, 54, 0.4, -1.4.\nAnswer: -1.4, -0.4, 0.4, 14, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/425589 and -113\/12.\nAnswer: 1702356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 d when three letters picked without replacement from {d: 1, n: 1, q: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/50)\/(14\/5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agmga. Give prob of picking 2 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 92 = 3*h, -3*r = -7*h + 4*h + 96. Suppose -2*q - h = -w, 4*w - 100 = q + 50. Let z = 100 - w. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**3*t - 177648*c**3 + 3*c**2*t + 2*c**2 + 14*c*t - c - 580*t - 74 wrt c.\nAnswer: -24*c*t - 1065888*c + 6*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10666 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 8*x**2 - 3*x - 2. Let t(v) = v**3 + 8*v**2 + 3*v + 16. Let b be t(-8). What is the tens digit of o(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.651 * -26.\nAnswer: 42.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -551418?\nAnswer: 29\/551418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 20*h + 2*h + 4*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151495\/29 + 5223. What is the common denominator of (3 - 121\/(-10)) + -3 and z?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207 - 405 = 11*d for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + 4 + 16 + -6 + 1.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 54, 26, -20, -84, -166, -266?\n\"Answer: -9*c**2 - c + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -84525, -335739, -754427, -1340589, -2094225?\n\"Answer: -83737*g**2 - 3*g - 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**3 - y**3 + 0*y**3)*(-4 + 4 + 5) - 6*y**3 - 3*y - y**2 - y**2 + 7*y**3 as c*y + t + f*y**3 + j*y**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48\/11 in -4\/7, 48.703, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71954280107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -1534, 0.4, 0.376, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 18*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 11*j = 0. Suppose -3*y + 1226 + 5875 = j. Suppose -y = -4*q + 757. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 9*b**2 - 33*b**2 as j*b + u + i*b**2 and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -0.3 (c) -325 (d) -4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*(4 - 34\/8)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 6 + -20 - -18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 14*l - 295435 = 0. Suppose 57*c = 64*c - l. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2164 equal to -2181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4643*d**3 - 31938*d?\nAnswer: 27858*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2077, -0.3, 0.4 in descending order.\nAnswer: 0.4, 0.2077, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1424 > -1422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 6 - 4)*((-2 + 1 + 2 + (2 - 3 + 0)*(-4 + 3 - 1) - 3 + 2 - 1)*(-3*w - 3*w + 5*w) + 2 - 4*w - 2) to the form i*w + z and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.04897012 times 33\nAnswer: -1.61601396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -226, -362, -514, -688, -890, -1126, -1402?\nAnswer: -1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 10*x**2 - 2*x + 6. What is t(-10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -755*z**8\/336 - z**7\/210 + 2713*z**5\/60 + z**3\/6 + 2679*z**2. What is the third derivative of j(l) wrt l?\nAnswer: -45300*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 - (10 - (-2 - 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -26*d**2 - 24*d - 4. Let c(x) = -19*x**2 - 18*x - 3. Let k(o) = -4*c(o) + 3*m(o). Let u(p) = 2 + 21*p + 8*p - p. Give k(u(v)).\nAnswer: -1568*v**2 - 224*v - 8","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -111110254, -222220506, -333330758, -444441010, -555551262?\nAnswer: -666661514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5239452 divided by 6?\nAnswer: -873242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882361.1 nanoseconds in minutes?\nAnswer: 0.000031372685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 617862627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2178\/132)\/(30\/(-40))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w - 69 - 102 + 165 - 15*w - 83. Give f(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + l**2 - 5*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 907 - 907.000000503. Round r to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -683 + 1945 = 2*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 7*r**2 + 12*r - 49. Calculate l(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 1309686534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -820.51 and -128400?\nAnswer: 127579.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55514993 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1280)*-5)\/(sqrt(16)*-3).\nAnswer: 20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 4*j, -319*j - 3*h + 13 = -314*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7662, 7665, 7668, 7671?\nAnswer: 7674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 3*t. Let q(v) be the third derivative of 2*v**5\/15 + 13*v**4\/24 + 4*v**2. Calculate -26*m(r) + 6*q(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2314 (base 13) to base 8.\nAnswer: -11466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 + 2)*(4 + 1 - 3) - 2 + 3 + 0 - 4 - 28 + 10 + (-2 + 0 + 1)*(-1 - 4 + 3))*(-i - 2*i + i) in the form b + n*i and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -5.26?\nAnswer: 5.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3)\/x)**41*(x\/((x\/x**(-3\/4))\/x*x*x))\/x*x*x*x**16*x*x)**(-15) assuming x is positive.\nAnswer: x**(-215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(99)*-1).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 9*n + 9. Suppose -28 = -5*p + 7. Let r be g(p). Sort 0, r, 4 in ascending order.\nAnswer: r, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1955 and 1.12.\nAnswer: 2189.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 2*y**2 + y + 3. Suppose 8*k - 2*k = -12. Let f be o(k). What is the closest to -2\/9 in f, -4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172808137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + z. Suppose 40 = 4*a + 4*s, -4*a + 0*a + 2*s = -40. Let i be -6 + 1 + (a - 4). What is y(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 3*w - 32\/33*w**3 + 4\/11*w**4 + 16\/11*w**2 - 4\/55*w**5 + 0 + 1\/165*w**6. Factor i(o).\nAnswer: 2*(o - 2)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (44\/(-6))\/((-6)\/81) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -325*a**3 + 500.\nAnswer: -975*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssnnshhssnvhhvsn. What is prob of picking 2 n?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14838)\/30 - 4\/10. Let b = c - -708. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 22 = x. Suppose 69 - 300 = -21*b. Calculate the highest common divisor of b and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/60*6678\/(-147) - -24\nAnswer: 62\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 + (-108)\/16. Let h be (-714)\/(-17)*((-270)\/z - 0). Suppose t = 7*t - h. What is the highest common divisor of 54 and t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-165)*6*(-12)\/(-12)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from vpvvzzv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k - 33*k + 4*k.\nAnswer: -41*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/((-200)\/(-48))*(-1 + 22\/18). What is the closest to 1 in 2\/15, 4\/7, -61, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53273 - -153?\nAnswer: -53120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -67493 + -1?\nAnswer: -67494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*i + 1, n + 5*i - 2 = 4. Let s be n*(2 - 1)*0. Suppose s = -7*y + 8*y - 66. Is 22 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**0)*m)**(-9\/8)*m\/(m\/(m*(m**1*m)\/m)*m)*m*m**(3\/4)*(m*m*m**2\/m*m*(m\/(m*m**(-4)))\/m*m)\/(m**4\/(m\/(m**6\/m))) assuming m is positive.\nAnswer: m**(13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 148 = 3*n - 4*n, -2*n = 4*w - 266. What is the units digit of (n\/9)\/((-6)\/(-108))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 661547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*v**4 - v**3 + 17*v wrt v?\nAnswer: 588*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 15, n: 3}. What is prob of picking 2 n and 2 h?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000187 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + -49. Let o = p + 396. Suppose 0 = -4*l - 5*m + o, -3*m - 100 - 241 = -4*l. List the prime factors of l.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6763, -27177, -61213, -108871, -170151, -245053?\nAnswer: -333577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2036 + 2040. Solve 1 = 6*p - 5*p - 4*s, w*p = 4*s + 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26116 divided by -19?\nAnswer: 26116\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4197 + 26117. Is 40 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmwwmmm. What is prob of picking 4 m?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttftft. Give prob of sequence ff.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at most as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -51cc + ca?\nAnswer: -5102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5 = -5*z, -4*z + 0*z - 5*h = 4. Is (-1 - z - 3) + 13 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -95, -2 in decreasing order.\nAnswer: 3, -2, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5986 * -0.28312\nAnswer: 1694.75632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032103 - 110001?\nAnswer: -1202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 3 = 3*l, 0 = -y + l - 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5\/17 - 2002*q**4\/17 + 7962*q**3\/17 + 14002*q**2\/17 - 43820*q\/17 - 47856\/17 = 0 for q.\nAnswer: -2, -1, 3, 4, 997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 0*b - 4*b)*(-3*b - b + 5*b) + (-5 + 2*b + 5)*(-1 + 1 - b) - 6 + 5*b**2 + 6.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 74 = -7*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209476914 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2b363 (base 12) to base 4\nAnswer: 32320323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 37 (b) 3\/2 (c) 75 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -540 divided by 135?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -8. Let z be 2 + (-25)\/(25\/5). Which is the second biggest value? (a) z (b) -2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 63073.38?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -31*c + 26*c + 5*o, 4*c + o = 23. Sort 0, 11, c in ascending order.\nAnswer: 0, c, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9077237 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from {f: 2, r: 1, z: 2, h: 1, n: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p**3 + 1331*p**2 + 4*p + 94. Calculate z(-121).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7995.\nAnswer: 3, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-31 + 1)*9\/(-6). Suppose 19 = 2*s - w. Is 20 a factor of (5\/(-4))\/((-2)\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 1:19 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 61*z + 1412. Is t(-19) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*y - 136*y + 726 = 93*y for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 668639\/43459 - 3\/3343. Is d < 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 + m**3 - 4*m**3 - 8 + 0*m**3.\nAnswer: -5*m**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3*p + 124, -3*p + 5*p - 126 = -5*s. Let i = 25 + s. What is the units digit of 0 + i\/3 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1\/3))**(-8\/5))**(-16\/9) assuming r is positive.\nAnswer: r**(256\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Suppose 4*v + 3*n + 27 = 0, 2*n + 2*n = 4*v - 8. Let c be v + (0 - y) + 18. Solve -3*h + 4*u = c, 0*h = 3*h - 2*u + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3383 or 3373?\nAnswer: 3373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {o: 6, q: 4, e: 4}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.8 + 0.2. Let f = -3.904 + r. What is f rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88593851 - -0.9.\nAnswer: -88593850.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = b - 83. Let i = b - 150. Let k = 101 + i. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 3*b + 60, 7*b = 4198*r - 4193*r - 140 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r + 3. Let w(c) = -26*c + 16. Let u(f) = -16*j(f) + 3*w(f). Let k be u(1). Let t(z) = -k*z**3 - 3 + 3*z**3 + 7*z + 9 + 6*z**2. What is t(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 5*y - 15, 412*y - 413*y + 6 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7612166249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) -0.3 (b) 442.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 45 - 5 = 0. Let u be (3\/(-2))\/(3\/(-20)). Suppose 0 = j + 2*m, 4*j - 2*m - u = r. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a + a - 3 + a. Let k be b(-3). Is (k - -1) + (-30)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**5 - 50*o**4 - 110*o**3 - 20*o**2 + 115*o + 70 = 0.\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -7 + 22 + -55 + 22.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k**(1\/3)*((k**0\/k)\/k)**(2\/49))\/(k**(-1\/4)*k*k**(-5\/2)*(k**1*k)**(2\/23)) assuming k is positive.\nAnswer: k**(11195\/13524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = -10*c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 930*t - 928*t - 4, -10 = -2*d - 5*t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 45*o**2 - 46*o - 71. What is the remainder when 814 is divided by p(-44)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008065573 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-9))\/((-5)\/(-115)*((-54418)\/(-780))\/91)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -249.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1705109?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u. Let o(d) = 11 + 11 - 22 - 70*d**2. Calculate o(x(w)).\nAnswer: -70*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 + 2*a**3 - 5*a**3)*(-27*a**2 + 8 - 279*a - 48*a + 322*a + (-2*a + a + 3*a)*(-3*a + 2*a + 0*a)).\nAnswer: -29*a**5 - 5*a**4 + 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2 = 4*r + 26, 3*l - 10 = -r. What is the third smallest value in 4, r, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 411998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (sqrt(130)*-1 + sqrt(130)))*-6)\/((sqrt(180)\/sqrt(3))\/sqrt(6)) - ((3*sqrt(78)*2)\/((sqrt(72) + sqrt(72)*1)\/sqrt(12)))**2.\nAnswer: -117 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + 12\/(-4) - 3. Let s = 22 + -10. Solve 5*w + 5 = n, -6*t + t = -2*w - s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25779 to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.4 > -117\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u - 5. Let r be v(2). Suppose l - 360 = -4*m, -r*m - 5*l + 453 = -3*l. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from zveumzu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 9*n**2 - 9*n + 11. Let v be b(8). Let d be (v\/(-5))\/(2*(-2)\/(-20)). What is the tens digit of (-1)\/d + (-682)\/(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(-494)*39\/24?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -3*k - 0*i, 0 = -k + 4*i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - u**2 + 3*u. Let v be g(0). Sort -4, 4, v in increasing order.\nAnswer: -4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 97438 and 1189650.\nAnswer: 2266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a second in milliseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from uesuesubbrsuuursssrj?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.34 or 2\/154823?\nAnswer: 2\/154823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*k + 155 + 169 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 19057*v - 19057*v + 12*v**3.\nAnswer: 12*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 53.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 8) in base 3?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10161174 + -15597403328\/1535. Let t = -2\/307 - j. Sort t, 2\/7, 0.4 in decreasing order.\nAnswer: t, 0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 10*d + 5. Let h(m) = 10*m + 4. Let f(s) = 4*h(s) - 3*l(s). Let j = 13 + -14. What is f(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x - 26. Let j be s(12). Let y = -24 - -26. What is the least common multiple of 2 and j + 0 + (y - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28811 divided by -6.\nAnswer: 28811\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 4) + 1*96?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(3\/7))**(-1\/29) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65083 and 397861?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13284625 is divided by 78.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1796903094?\nAnswer: 2, 3, 7, 17, 1031, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -29, -41, -53, -65, -77?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v + v**2 - 3 + 4 - 6*v. Let x(u) = -u**3 - 7*u**2 - 9*u - 14. Let m be x(-6). Let b be i(m). Solve -3*j + 15 = a, 0 = -4*a - b + 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 30 - 195. Suppose -4*c + 15 = -5*l + 81, 2*l + 5*c = p. Let a = 236 + -194. Calculate the highest common divisor of l and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*x = -54*x + 5, -6*x - 8526 = 2*z. Are z and -4274 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190.44045 rounded to zero decimal places?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -197106559 by 13.\nAnswer: -15162043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1265*g**5 + g**2 - 105*g - 4 wrt g.\nAnswer: 25300*g**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g + 4 = 0. Let q = -3159 + 3158. Sort q, -5, 1, g in decreasing order.\nAnswer: 1, q, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 17*b**2 - 3*b - 468. Let y(l) = -2*l. Calculate f(y(d)).\nAnswer: -68*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 596081 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a06a5 (base 12) to base 7.\nAnswer: 11054543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**4\/8 - 2265*f**3\/2 - 104817*f**2\/4 - 253215*f\/2 - 1396737\/8 = 0 for f.\nAnswer: -17, -3, 3043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in -3\/44, 1, 5?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(847)*1 + 1.\nAnswer: 2 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -28. Suppose -o = -z - 3*z. Let b(x) = 0 - 8*x + z*x + 0. Let u(t) = -t**2. What is b(u(g))?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 24. Let s = g + 34. Suppose 0 = -3*w + z + 379, 0 = 4*w - z + 5*z - 500. What is the highest common divisor of w and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w + 145. Suppose -306*f - 113*f - 17217 = 4571. Calculate z(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 - -35. Let r = -11 - q. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giiiijmiimgmg. What is prob of picking 1 j and 2 i?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (38 - -6 - 49).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 7.1. Which is the nearest to 2\/125? (a) 3\/4 (b) u (c) -0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6197*k**4 - 18555*k**3 - 108*k**2.\nAnswer: k**2*(k - 3)*(6197*k + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = d - 4, -3*k + 11 = -d. What is the remainder when 8\/(-6) + (-513)\/(-81) is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/40)\/((-4)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26686, -53369, -80052, -106735, -133418, -160101?\n\"Answer: -26683*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, 4397, 5, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*(sqrt(459) + (sqrt(459) - sqrt(459)*1)))\/sqrt(9))\/(sqrt(432) + sqrt(432) + (-2*sqrt(432) - sqrt(432)) - sqrt(432) - (sqrt(12) - sqrt(3))*-2))**2.\nAnswer: 153\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1044 is divided by 226?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1582774, -3165566, -4748358, -6331150, -7913942?\nAnswer: -9496734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/11 - 4794*y\/11 + 4795\/11.\nAnswer: -(y - 1)*(y + 4795)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (16 + -69)) + (23 + -5 + -7 - 3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 97 + 129446*k**2 - 129364*k**2 - 2*k**3 - 19 - 158*k = 0.\nAnswer: 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/2)\/(-4)*0. Suppose 4*q = v, r + 2*q - 5 = 6*q. Find s, given that 1\/2*s**3 + 1\/4 - 1\/2*s**2 + 1\/4*s**4 - 1\/4*s - 1\/4*s**r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1851 is divided by 540?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-25)*-5 + -883. Let g = 1825 + u. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0. Suppose -4*u = 9 - 21. Suppose 5*y + 1 = -u*l + 3, 0 = 3*y + l - 2. Solve -2*d - 3 - y = m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 68*z**3 - 275*z**2 + 40*z - 28*z**3 + 80*z + 155*z**3 - 35*z - 5 = 0.\nAnswer: 1\/13, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 2, m: 6, p: 3}. Give prob of picking 2 p.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lldmmjsdjzmdssmsslll. What is prob of picking 1 l and 1 s?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**7\/140 + p**6\/32 - 3*p**5\/80 - p**4\/32 + p**3\/8 + 39*p**2. Factor m(d).\nAnswer: -3*(d - 1)**3*(2*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*h, -3*o = -5*h - 0*o + 20. Solve -b + h = 0, b = 2*v + 6*b - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(1125\/60)*-1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12373 + -12362. Solve 5 = 12*p - y*p + n, 0 = 5*p + 3*n - 23 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 791 - 787 = -3*g, 8*g - 45 + 57 = 5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153\/(-14)*48\/72 + 7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -4142.51?\nAnswer: -12427.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*u + 19 = 0, -b - b + 58 = -u. Let c be (-129)\/b - 2\/9. Let d = -3 - c. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1006 + -621?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + r - 5*r)*(3*r**2 + 0*r**2 + 3*r**2 + r**3).\nAnswer: -2*r**4 - 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + 4 - (1*sqrt(1700))**2.\nAnswer: -1696 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 319155?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-12795)\/(-40)*(-2)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 11*r - 16. Let p be ((-66)\/15)\/(r\/(-110)). Calculate the highest common factor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1559.9994444 and 0.4.\nAnswer: 1560.3994444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 393, 2292, 5457, 9888, 15585, 22548, 30777?\n\"Answer: 633*z**2 - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 5*p**8\/56 + 3*p**4\/4 - 6*p. Find the third derivative of j(v) wrt v.\nAnswer: 600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 48*w + 145 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t + 300 = 0. Let j = -48 + 84. Let y = j + -21. Calculate the highest common factor of t and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3273 is divided by 150?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/7)\/((-400)\/700))\/(((-5)\/(-98))\/(-5)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1045846965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 10:08 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**6\/180 + v**3\/2 + 2*v. Let x(h) be the second derivative of o(h). Let d(p) = -2*p. Determine x(d(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 12, -5, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(11) + (sqrt(11) - ((sqrt(11) - sqrt(44)) + sqrt(11))) + (sqrt(11) - (sqrt(396) + -4 + sqrt(396) + sqrt(396)))**2 + 4.\nAnswer: -134*sqrt(11) + 3203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = -3*g, -4*g = -2*g - 5*d + 5. Suppose 3 = -k - g. What is the tens digit of 2\/(235\/(-80) - k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 2227?\nAnswer: -2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 8*q**2 + 0)*(46 + 39 - 48).\nAnswer: -296*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 628, 620, 634, 682, 776, 928, 1150?\n\"Answer: 2*v**3 - v**2 - 19*v + 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s - 11. Let c(f) = -15*f - 10 + 27*f - 21*f. Let m(k) = -7*c(k) + 6*v(k). Suppose -5*l - 37 = 4*h, -3*h - 11 = l + 3. What is m(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.356376 * 756.\nAnswer: -269.420256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1b8b (base 12) to base 9\nAnswer: 4618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -331*c**2 - 1857*c - 56. Give o(-6).\nAnswer: -830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -17.7. Let y = -17 - -14.95. Let x = y - g. What is x rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or -0.0801746?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82337 and 5409.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8523 + -32534. Let x = r + 45101. What is x rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 + 2196122?\nAnswer: 2196148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*y + 9 = 0, -5*y - 28 + 9 = l. Let n be -1*(3 + l) + (21 - 13). What is the third derivative of 17*c**4 + 7*c**n - 31 + 31 - 5*c**2 wrt c?\nAnswer: 576*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 193.20902 + -1.57602. What is z rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48125 divided by -875\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(15\/(-20))*6\/8. Suppose 5*r + 0*r - w = 3*j, 2*j = 6. Solve -2*t = -r*z + 18, -z + 23 = -2*t + 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/32 and 53\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-333)\/(-45) + (-2)\/5. Solve -5*z - 2 = -l*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 11*q - v - 17 = 0, 3*q - 26 = -2*v. Let h = -39 - -84. What is the remainder when h is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/84)\/((-2)\/(-24)))\/(415\/(-5810))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 - 23*h + 21. Calculate q(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/34 and (-267)\/(-24)*2\/(-3).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-19 - (3 - 14))) + -72 + (5 - -7)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 4 = 4*x, -z - 118*x + 116*x - 2 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s - 7010 = -49844. Does 59 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 - -a32?\nAnswer: a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 7. Let y = 74 - 66. Let t be 320\/(-52) - y\/(-52). Let z(b) = -4*b + 8. Determine t*s(n) + 5*z(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132437, 264873, 397309, 529745?\nAnswer: 662181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0653696 decades to years.\nAnswer: 0.653696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 359\/2 + -178. Which is the fourth smallest value? (a) 4 (b) r (c) -2\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/60987? (a) 1\/5 (b) 1 (c) -475\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -16. Solve 3*x = 4*v + 9 + 10, -n = 5*v - 4*x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**5 + 4*x**5 - 2*x**5)*(-1 - 5 - 7).\nAnswer: 26*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 18*a = 17*a + 4*c + 113, -3*a + 2*c + 47 = 0 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 9*o - 6. Let d be f(9). Let x(p) = -p**3 - 6*p**2 - 3*p - 3. Let b = -35 + 64. Calculate the remainder when b is divided by x(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2607, 5214, 7821, 10428, 13035, 15642?\n\"Answer: 2607*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**2 + 6*k + 5. Let p be r(-3). Suppose -u = 36 - p. Calculate the remainder when u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88545984 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -282494652 by 970772.\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 240 - 235. Let s = -1 + 3. Calculate the highest common divisor of s and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*u - 100 = 4*g - 346*u, 0 = 4*g + 5*u + 114 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 10*h - 6. Let f be d(-9). Suppose 0*l - f*l = -y + 9, 4*l - 3*y + 7 = 0. Let s = l - -6. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 7:30 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/75 - 2\/2. Let s = i - -4\/25. Is s <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -9*w - 31. Suppose -7 = 12*k + 41. Let y be i(k). Suppose -4*d - y*a + 713 = 0, -549 = -7*d + 4*d + a. What are the prime factors of d?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0893 - 550.9107. Let d = i - -777. Let u = d - 224.89. Round u to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/3, 1\/10, -1\/55, -3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53 - (-3173)\/(-57))*36\/(-1968)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152982 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 20 = -4. Calculate the greatest common divisor of i and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -36. Put -4, v, 2 in increasing order.\nAnswer: -4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 12 = -6*v. Suppose v*j - 62 = -i + 9, 0 = 4*i + j - 284. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k*k\/k**(3\/10)))*k)\/k**(4\/5)*(k**1*k)**(1\/3)*(k**(1\/6)*k**(-1\/15)\/k)\/(((k\/k**(-9))\/k)\/(k**(-2\/13)\/k)) assuming k is positive.\nAnswer: k**(-292\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/29)*c**(-2\/11)*c*c)**17)**(-17\/6) assuming c is positive.\nAnswer: c**(-26877\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.28 + -2.72. Which is the second smallest value? (a) -0.1 (b) z (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**3\/3 - 17*l**2\/3 = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**9\/30240 - q**7\/1008 + q**5\/60 + 14*q**4\/3 - 10*q - 1. Let j(n) be the third derivative of y(n). What is t in j(t) = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {k: 4, p: 3, d: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 10*x + 13. Let z be ((-2)\/7)\/(2\/(-14)). Suppose -5*i - 3*l = 60, -4*i = -z*l - l + 21. Calculate the remainder when 43 is divided by c(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -753, 2 in descending order.\nAnswer: 2, -3, -753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3*-3.2\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 8 + (2 - 2 + 3)*(-2 - 1 + 4))*(3 - 1 + 1)*(7*y**2 - 2*y**2 + 0*y**2) in the form l*y + u*y**2 + w and give u.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Suppose s*i - i = 3. List the prime factors of (-2)\/(37\/13 - i).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*g + 2*g. Let v(k) = -k**3 - 9*k**2 - k - 12. Calculate v(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.09 + -8.13. Let l = m + 5.44. Which is the closest to -2? (a) l (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -647.747 and 1.\nAnswer: -647.747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -598012, -598014, -597988, -597928, -597828?\n\"Answer: d**3 + 8*d**2 - 33*d - 597988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46342 - -46343. Let i = -9.09 + 9. What is the closest to -0.1 in s, i, -4\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (8 - 7)) + (2 - (2 + 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1910907, -3821812, -5732717, -7643622, -9554527, -11465432?\nAnswer: -13376337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 464419562 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 310724597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u = 25*u - 249487 - 26040. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - 9*p**2 + 45*p - 239. What is the units digit of s(-26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((390\/72)\/(-1))\/((-225)\/(-135))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -3*w + 38, -4*o + 83*w + 44 = 87*w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/3)\/(0 + (-6)\/(-63)). Suppose -14*s = -i - 28. Is s\/(45\/20) - -1005 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*a - 6*a - 10 = 0, 5*z - 3*a - 40 = 0. Suppose -z*d - 3*t - 26850 = -104327, 0 = 3*t + 3. Suppose 7*j + j = d. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 2:14 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-10) - 18\/20.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -27. What is the first derivative of -16*p**3 + 33*p**3 - 15*p**v + 7 wrt p?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 26334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -218\/5*n - 43 - 3\/5*n**2.\nAnswer: -(n + 1)*(3*n + 215)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a. Suppose -3*y + w = -504, 0 = 2*y + w - 104 - 237. Let q(n) = -2 + y*n - 165*n + 2. Determine v(q(m)).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -38. Suppose -151 = -p + 3*c, u = p + 6*c - c - 175. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 1088.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 130, 219, 308?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1673*b - 6693. What is o(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66944*t**3 + 17*t**2 + 3029965*t?\nAnswer: 401664*t + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 11*a + 50. What is the tens digit of q(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-25)*j**35)\/(j*j\/(j*j*j\/((j**(-2)*j*j)\/j)*j)*j*j**(2\/19)*j**(3\/37)) assuming j is positive.\nAnswer: j**(8305\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/5 - 5681*j**2\/5 + 73986*j\/5 - 204984\/5 = 0. Calculate j.\nAnswer: -5694, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -405, -1639, -3693, -6561, -10237, -14715?\n\"Answer: p**3 - 416*p**2 + 7*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 588 = -19*s. Suppose -2*a = -2*h - 3*h + 47, 0 = -4*h + 4. What are the prime factors of s\/a*(-81)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a + 8. Let d(w) = 5*w - 7. Let x(f) = -7*d(f) - 6*t(f). Let o(h) = 14*h - 2. Give -3*o(s) - 8*x(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.19143 + 6.5376\nAnswer: 6.34617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 4)*(i + 5*i - 3*i)*(-6*i + i + 3*i)*(13 - 6 + 1).\nAnswer: 336*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (sqrt(68) + 2 + 2*sqrt(68) - sqrt(68) - sqrt(68)*-2*-4)**2)*-5.\nAnswer: -36735 + 720*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58408061?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 46.9. Which is bigger: -0.3 or c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(66) - sqrt(66)))\/(sqrt(6) - (sqrt(216) - sqrt(6))) - ((sqrt(22) - 2*sqrt(44)\/sqrt(2))\/((2*sqrt(16))\/sqrt(8)))**2.\nAnswer: -11\/4 + 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 6. Let z be n(2). Solve -c + z = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtgg when four letters picked without replacement from {t: 2, g: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -5 (b) -1.1 (c) 29 (d) -8 (e) 0.074\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/3 - (-5 - (8 - 13))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 13*v**2 - 2*v - 25. Give m(13).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000036 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 97.1 (c) 0 (d) -6 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/26 and -17\/49.\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 2*z**2 + 98*z + 470. Determine x(-5).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 divided by -940?\nAnswer: -101\/470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29\/5 of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -84, 4, 3, 0 in descending order.\nAnswer: 22, 4, 3, 0, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r**2. Let p(t) = 27*t**2 + 22*t**2 - 67*t**2 + 22*t**2. Determine p(k(f)).\nAnswer: 196*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - a?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8910519 to the power of 1\/2, to the nearest integer?\nAnswer: 2985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.03\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30286 (base 11) to base 4.\nAnswer: 22303203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*3\/(-6) + 5. Suppose -n = -f + 3. Let r(o) = o**2 - 6*o + 9. Calculate the lowest common multiple of r(f) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**4\/11 - 90*k**3\/11 - 14*k**2\/11 + 618*k\/11 + 540\/11 = 0.\nAnswer: -2, -1, 3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(96*(-28)\/(-5376))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**7\/21 + 43*a**6\/30 + 31*a**3\/2 + 3*a**2\/2 - 563*a. What is the second derivative of d(i) wrt i?\nAnswer: -40*i**3 + 516*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 38 + 22 - 2*f - 10.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(4\/7))\/l**(-31)*(l*l\/(l**(-4\/9)\/l)*l)\/l**(2\/19) assuming l is positive.\nAnswer: l**(44182\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98*v**5 - 82*v**5 - 25*v**5)*(0 + 1 + 2).\nAnswer: -615*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 230.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105210040?\nAnswer: 2, 5, 13, 202327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w + 321*w**2 + 373*w**2 - 641*w**2 to the form c + o*w**2 + p*w and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -2799, -2, -11, 1 in increasing order.\nAnswer: -2799, -11, -2, 1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1875242.\nAnswer: 2, 499, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 18, j: 1}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + 99\/55 + 8\/(-10). Suppose 0 = -4*u - 2*h + 874, -3*u = -u + 2*h - 440. Suppose 119 = c*o - u. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*j - 199*j + 5597 = -100516. Calculate the smallest common multiple of j and 1736.\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 7*f**2 - f. Let i be r(-5). Let a be 1\/2 - i\/(-18). Let q be -2 - -1*a\/1. Sort 2, q, -3 in descending order.\nAnswer: 2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93182?\nAnswer: 2, 46591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 70840 a multiple of 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 0 - 3*s**2 + 1\/24*s**4 - 1\/60*s**5 - 1\/6*s**3 + 0*s + 1\/120*s**6. Determine f(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 30 = -7*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2*m**(-3))\/((m*m**(-2\/13))\/m*m*m**12*m*m) assuming m is positive.\nAnswer: m**(-206\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287164*g + 39808*g - 121709*g.\nAnswer: -369065*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008718 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 37. Suppose -3*a = -5*h - 62, -g*h = 13 - 5. Let k = -194 + 292. What is the greatest common divisor of k and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1954056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -593 - -833. Let q = l - -1069. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -14, 5, 2 in decreasing order.\nAnswer: 5, 2, 0, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/5 and -22\/171?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -10. Suppose -9*f + l*f + 18 = 0. Let u be 5 + -3*(-4)\/f. Solve -u = -5*g - 4*h + 5*h, -3*h = 5*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6774155 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195647 and 186903?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - b + 24, -3*b - 2 = -2*a + 3. Solve a*k - 2*k - 20 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 79181, 79146, 79051, 78866, 78561, 78106, 77471?\n\"Answer: -5*o**3 + 79186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (441\/(-63) + (-19)\/(-2))\/((-25)\/(-560))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 91, -5, -4, -3, 4 in descending order.\nAnswer: 91, 22, 4, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 413187 and 2967.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1470, 2939, 4408?\n\"Answer: 1469*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 13*q - 4. Let o be k(-7). Suppose 4*h - o = 2*d, 3*h - 35 = -h + 3*d. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 16*q. Let o(s) be the first derivative of -3*s**2\/2 + 14. Let x(z) = 2*n(z) + 11*o(z). Let b(k) = 13*k**2. What is x(b(m))?\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*k = -113502, 5*k - 2*k + 113538 = 3*f. Does 120 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 take away -0.03055?\nAnswer: -9.96945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 1076*h + 18072.\nAnswer: 4*(h + 18)*(h + 251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -4*g**3\/9 + 44*g**2\/3 - 484*g\/3 + 91. Determine k so that v(k) = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 14947 = -13021. Let m be v\/(-95) + ((-1)\/5 - 0). Suppose -4*g + 3*a = -m, 149 = 4*g - 5*a - 0*a. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -327 - -331. Solve -2*n = -n + d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2739*u - 2742*u = 51 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -36. Suppose 3*k - 2*h = 10, 0*k - 5*k + u = -4*h. Let z be -1 - k - -10 - 3. Solve 3*r = 5 + z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*c**2*w + c**2 + 80342071*c + 24041363*w + 2 wrt w.\nAnswer: 9*c**2 + 24041363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/4*162\/210 - 5\/4. What is the closest to 1\/12 in 4, k, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861742.24 rounded to the nearest 10000?\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*g + 12. Let q(p) = p - 2. Let y = -7 - -13. Let m be q(y). Solve g*n - 4*f - m = -29, -3*f = -4*n - 19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 11. Suppose p = -4*p, -2*b + 20 = -4*p. Is (b\/m)\/((-2)\/(-39)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**10\/2520 + 11*i**6\/360 + 16*i**3\/3 + 7. Let q(s) be the third derivative of k(s). Find the third derivative of q(t) wrt t.\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus 84543684670?\nAnswer: 84543684669.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3871641 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -12*x + 300. Give t(19).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235 = -25*w - 135 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 59?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 265.56502 take away 32921?\nAnswer: -32655.43498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 55. Let b = -26 - m. Suppose 2*p - b + 6 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = 38 - 14 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7701\/184929698 + -138087521173494129\/10356063088. Let w = 13334080 + y. Let v = w + -718\/7. Find the common denominator of 47\/10 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.054 - 4.146. Let q = 7 + -3. Let d = q + a. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*w + 2*r - 80, 4*w + r - 64 = 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 3*z + 25, -3*x = 385*z - 390*z + 32 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d - 12. Let z(g) = 2*g**2 - g - 1. Let c be z(2). Is d equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 4\/20 - 2\/(-40) - (-97795)\/20.\nAnswer: 4890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/((-15)\/90). Suppose w*z + 9 = 5*c, -3*z = 3*c - 6 - 9. Suppose -c*h = -0*h - 1077. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (203*26\/819)\/(100\/900).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 - 3 = 0. Let z = 3 + w. Let k be (0 + -1)*1 + 0. Which is greater: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + (-21 - -25).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 - 18 = 6*j - 50 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -y + 22, 2*i - 18 = y + 2*y. Let c(g) = g - 5. Let p be c(i). Let a be (-4 + 5)\/((-2)\/(-4)). Is p less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-90) + 6\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3*5\/10 - (13 - 12). Which is the nearest to t? (a) -3 (b) -0.7 (c) 1\/6 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(2448))**2 + 3 - 2*(sqrt(17) + -1*(-1 + sqrt(17)) + -6*(-1 + sqrt(17)))**2.\nAnswer: 168*sqrt(17) + 1131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and 0.979.\nAnswer: -11.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n**2 - n**3 + n**2 - 2 + 4 + 3*n**3. Suppose x + 3 = -3*z, -13 = -x + 2*z - 1. What is the tens digit of c(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61.77 and -23.\nAnswer: -1420.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -163063 (base 7) in base 6?\nAnswer: -405251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41112 (base 5) in base 9?\nAnswer: 3572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-1*2*1). Suppose 3*u = -5*y + u + 20, -2*u = -3*y - 4. Let x(i) = -j*i**y + 3*i**2 - 3*i**2. Let b(a) = a**2. Give x(b(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-2)\/5)*-5. Suppose l - 5*k = -l - 6, -12 = 4*l - 3*k. Let m = u - l. Are 2 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, s: 2, k: 2, i: 1, u: 2, j: 1}. Give prob of sequence jsus.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/(-5) - 2\/(-5). Let k(f) = f**2 + 0 + 8*f**l + 6*f - 3 + 9 - 4*f**3. Let d(y) = -3*y**3 - y**2 - 5*y - 5. Calculate -6*d(t) - 5*k(t).\nAnswer: -2*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.10108 - 4.89892. Suppose 0*m = -2*m - 10, 0 = -2*q - 5*m - 15. Which is the smallest value? (a) q (b) 0.2 (c) 0 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-70065 - -19)*(-2)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + 1 + -47 + (7 - (-2 - -17))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 3)*(-105*k**4 - k**4 - 21*k**4).\nAnswer: 254*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, 2, 64752 in descending order.\nAnswer: 64752, 2, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 199 + -199. Suppose o = -5*j + 103 - 13. Calculate the remainder when 106 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21 (b) -72 (c) 3 (d) -0.4 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 + 2*m**3 + 3*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bsfyuosfuufussb. What is prob of picking 1 b, 1 y, and 1 u?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 763, 754, 733, 694, 631, 538, 409, 238?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**4\/12 + o**3\/2 + 9*o**2\/2 - o. What is the remainder when x(4) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29817390 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 103133256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/216702596 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3200723*b**2 - 2*b**3 + 3200723*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2059*l - 5046*l - 6587*l - 1914*l + (-2 - 3 + 6)*(-1 + 1 + 2*l) + 3 - 3 + l.\nAnswer: -15603*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -15*t**3 - 7*t**2 + 19*t - 13. Let h(w) = 7*w**3 + 3*w**2 - 9*w + 6. Let u(o) = 7*h(o) + 3*q(o). List the prime factors of u(3).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*d**2 - 5 + 2 + 2 - 2 - 207*d.\nAnswer: 68*d**2 - 207*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323948201?\nAnswer: 149, 569, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 + 1019 = 2*l. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 329*a - 993*a - 6 + 29 + 326*a + 327*a. Give z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10589*o + 603558. What is h(57)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + j**2 + 3*j + 4. Determine q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 3*z**2 + 1 + 2*z)*(40181761 - 40181761 - 11994*z**2).\nAnswer: 35982*z**4 - 11994*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, o: 15}. Give prob of sequence oc.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1005*z**3 - 79*z**2 + 79*z**2 - 11320 + 853*z**3 wrt z?\nAnswer: -456*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65\/462 - 2\/77. Let k = -26 - -26. Suppose k = 6*c - 18 - 12. What is the biggest value in y, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwiig. Give prob of sequence wh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 35*o**2 + 93*o + 10. Let t be w(3). Suppose -6 = n + n. Let r(p) = 5*p - 3. Let i(z) = 0*z - 4 + 3 + z. Give n*i(c) + t*r(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 315*z**4 - z**2 - 302*z wrt z.\nAnswer: 3780*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.8 in 6, -558, -0.76?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159174*h**2 - 1439*h + 160187*h**2 - 9413*h wrt h?\nAnswer: 2026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76335*l**2 + l**3 + 5*l**3 - 3*l**3 - 2*l**3 - 38039*l**2 - 38296*l**2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -5. Let o = 3 + c. Suppose -o*q = -4*q - 24. Solve 5*n + q + 4 = -2*f, 2*n = -4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 289\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 4*r - 6*r)*(5 + 14 - 4).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5066.981 micrometers in millimeters?\nAnswer: 5.066981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1606, 1669, 1770, 1909?\n\"Answer: 19*m**2 + 6*m + 1581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) 1 (c) -0.01 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from exee.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*b**3 + 505*b + 6*b**2 + 2 - 502*b - 4*b**4 - 5*b**2 to i*b + w*b**4 + t*b**3 + o + q*b**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*-2*(sqrt(175) - (sqrt(175) + -1)**2) + (sqrt(175) + -3)*-6 + -4 + -1).\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66540 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**3*h + 3*f**3*x - 22*f**3 + 655*f**2*h*x - 4*f*x wrt h.\nAnswer: -f**3 + 655*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**2 - 4*c - 1. List the prime factors of w(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338422 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 13141?\nAnswer: -13135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-16)*w**7*w**(3\/2)*(w**(-13)*w)\/w assuming w is positive.\nAnswer: w**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 7*l = -32. Is 15 a factor of (75\/l)\/(8\/32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 7. Let q be 10*(-16)\/(-160) + 0 + -4. What is a(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6190080 divided by -8320?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 7*y**2 + 69*y + 127. Let w be o(-4). Calculate the highest common factor of 10359 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 48 + 40 = 0. Let z be (5\/(-6))\/(t\/132). Let i = 29 + -27. Solve 0 = z*f - 2*d + 5, -11 = i*d - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2. Let f(v) = -v - 1. Let j(r) = -22*r + 23*r + 54 - 149*r - 38. Let h(c) = -48*f(c) - 3*j(c). Determine b(h(w)).\nAnswer: 242064*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4 = -2. Find the third derivative of -16*q**g + 19*q**2 + 3*q**6 + 6*q**6 wrt q.\nAnswer: 1080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, i: 1, j: 3, w: 3, q: 1, x: 1}. Give prob of picking 1 j and 1 p.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 68*u**3 - 35*u**2 - 2*u + 4. Let t(r) = 64*r**3 - 47*r**2 - 2*r + 5. Let k(w) = 4*a(w) - 3*t(w). Calculate k(1).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10113 + 5918. Let t = g - -297851\/71. Is 0 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, -0.5, 0.1481, 0.1, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-3)\/16*-25*(-416)\/19500?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-494 - -392) + (66 - 1).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -4) + 21*1. Let g be 6 + (-1)\/((-257)\/(-86) + -3). Calculate the highest common factor of h and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + a**4 + 2 - 3*a**4 + (a + 0*a + 0*a)*(5*a**3 + a**3 - 5*a**3) + 4*a**4 - a**4 - 5*a**4.\nAnswer: -3*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 102941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5292442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3902.942 + -0.1?\nAnswer: 3902.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 8*m**2 - 7*m - 1. Let x be c(7). Let q = 1 - x. Solve q*r + 6 = -0*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.004\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 2, -6, 12, -35\/19 in increasing order.\nAnswer: -6, -35\/19, -4\/7, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9*y - 154. Let t be d(17). Let r be t*28\/7 - -4. Solve 7*g - 4*g - 12 = r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 3, 37\/5, -4, -3\/7, 45, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 282652.86 minutes in hours?\nAnswer: 4710.881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((-4*sqrt(77)*2)\/sqrt(11))**2 - ((sqrt(700) - (sqrt(700)*-2 + -4)) + sqrt(700) + sqrt(700)))*-5.\nAnswer: -2219 + 250*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 5\/66, 3 in increasing order.\nAnswer: 5\/66, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 8:36 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 23. Which is the nearest to 0? (a) 1 (b) 1\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2709.8419 + 2749.84. Let h = -39.83 - 0.17. Let c = m + h. What is c rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c**2 + 7*c + 8. Let k be z(4). Calculate the greatest common factor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 84 = 3*p. Let g be 4\/3*7\/p. Is g less than or equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 4*r - 1. Let f(s) = 3*s**2 + 7*s - 2. Let z = -34537 + 34541. Determine z*f(b) - 7*t(b).\nAnswer: 5*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 426380 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ac (base 15) to base 9.\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 24*x**2 - 138*x + 2647. Determine a(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 + -84. Let s be (-4)\/6 + (-4)\/(-6). Suppose s = -5*z + p + 1. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 65081 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 134, 278, 422, 566, 710, 854?\n\"Answer: 144*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 18 = -3*p, -4*p = -f - 31 + 20 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/m**(1\/4)))**(-24)*m**(2\/19)*m**1 assuming m is positive.\nAnswer: m**(-549\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from ppmppm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -77*p - 2. What is the tens digit of n(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 17*m**2 - 72*m + 91. List the prime factors of l(28).\nAnswer: 3, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 2*y**3\/3 - 7*y**2\/2 + 9. Find the second derivative of i(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 3, 4, -1365, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/7)*j*j**(1\/8)*(j*j\/((j\/(j\/(j\/j**(-7))))\/j)*j)\/j**(2\/7)*((j\/(j\/j**(3\/5)))\/j**1)\/(j**(-3\/5)\/j**1) assuming j is positive.\nAnswer: j**(-669\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1150 (base 7) to base 16\nAnswer: 1ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (-4 + 7) - 3) + 16\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(396) - (sqrt(396)*2)**2*-1)*2 - (-1 + (sqrt(396) - (sqrt(396) + -1 + 1) - sqrt(396) - (sqrt(396) - (0 + sqrt(396)))*3)**2).\nAnswer: 12*sqrt(11) + 2775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (25\/(-15))\/(0 + (-1)\/3). Sort m, -1, 4 in descending order.\nAnswer: m, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 2\/3, -21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1090 and 47555610?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x = -18. Suppose 5*w + 3 = 4*f, -x*f + 3*f = 4*w - 10. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 1:41 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-11 + (-8 - -7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 - 258\/(-8). Let r = -17 + l. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 8) in base 10?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = 2*p + 57, 0*p - p = -12*h + 11072 - 11035 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**4\/4 + 685*l**3\/4 - 341*l**2\/2 - 342*l = 0.\nAnswer: -1, 0, 2, 684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -483989 - -484214.101. Let z = s - 225. Round z to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*k + 28 + 14, -2*k = 5*s - 105. Calculate the lowest common multiple of 624 and s.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -266 + 389. List the prime factors of w.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.249*-446.3.\nAnswer: -2788.9287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (350\/4)\/5*2. Let q = -11 - -6. Let r be 10\/q*(-5)\/2. Calculate the greatest common divisor of o and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**3 - 5 - 4*d**3 + 0*d**3 + 3*d**3 to the form h*d**3 + v + i*d + o*d**2 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2055 and 2192?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*c + t, 6*c - 22 = c + 4*t. Suppose 2 = u, 0 = 4*z - c*z + 5*u + 88. Is z smaller than 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*l + 20 = 0. Let q(x) be the third derivative of 5*x**2 + 1\/6*x**4 + 0*x + 1\/60*x**5 + 0 + 1\/6*x**3. Determine q(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 29869759?\nAnswer: 29869759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -16*a. List the prime factors of b(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 30 = 11*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-1))\/(-2)*5. Suppose -m*t + 3*t + 150 = 0. What is the highest common factor of t and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + 228. Let b = -115 + l. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -400, -311, 144, 1145, 2872, 5505, 9224, 14209?\n\"Answer: 30*l**3 + 3*l**2 - 130*l - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18738985 and 1490.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.91971ug to milligrams.\nAnswer: 0.03291971","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Divide 1601861785 by 5.\nAnswer: 320372357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*a + 695*a - 27328 = -464*a - 986*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*12\/42*-2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/190)\/((-21)\/(-245))*12\/77?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**3 + 6*i**2 - 2*i + 10. What is d(3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/36 + (-176)\/(-18) + -2. Sort 1, u, -5 in descending order.\nAnswer: u, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 - 345 + 50*b - 115 + 44*b + 256*b + 458 as y*b + k + r*b**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, f: 4}. What is prob of sequence wf?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25500, -25488, -25464, -25422, -25356, -25260, -25128, -24954?\n\"Answer: w**3 + 5*w - 25506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -299613.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -417\/5 or -82?\nAnswer: -417\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 26 - ((-22 - (-44 - -41)) + 18)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10121110 (base 3) in base 7?\nAnswer: 10446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + -1 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1849 - 2146. Is (-2)\/(3 - j\/(-1330)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666814047 a multiple of 4307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.029 + 0.029. Let d = i - -11. Put 4, d, 0.4 in descending order.\nAnswer: d, 4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 - (13 - (-6 + (19 - 7)))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0 + w**2 + 1\/15*w**5 - 1\/12*w**4 + 0*w**3 + 0*w. What is the second derivative of y(n) wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(36)\/sqrt(2) + sqrt(18))*4 - sqrt(18))\/(sqrt(9) + sqrt(99)\/(sqrt(11) - sqrt(176))).\nAnswer: 33*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 137778653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-36)*k*(k**35\/k)\/k*k)**6)**(-12) assuming k is positive.\nAnswer: k**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*a\/a**(-5)*(a**(-5)\/a)\/(a*a\/(((a*a**(-5\/3)\/a)\/a)\/a)*a*a))**(-14\/15) assuming a is positive.\nAnswer: a**(238\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -4. Let v = 143 - 999\/7. Sort -5, v, n in descending order.\nAnswer: v, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*s - 30 = 0, 3*y + 4*s + 2 = 33. What is the remainder when (-296)\/(-2) + -10 + 11 + 6 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 6*f**2 - 7*f + 7. Let p be t(7). Suppose -a = -p - 7. Calculate the common denominator of 72\/88*a\/(-12) and -139\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(325) + 2 + -3 + 4)**2 + -3 + -3.\nAnswer: 10*sqrt(13) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/4 - 38363*b**3 + 4602885*b**2\/4 - 17259975*b\/2.\nAnswer: b*(b - 153422)*(b - 15)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3428 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: What is the nearest to 0.1 in -0.2, -1\/18, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-2\/27)*j))\/j**14*j\/j**(-2\/13)*j*j*j**(-6\/7))**(2\/45) assuming j is positive.\nAnswer: j**(-62788\/110565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2219396616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 306 = 17*g - 362, -4*y = g - 23 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5\/7*h**3 + 1\/7*h**4 + 0 + 0*h**2 + 0*h = 0 for h.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 + 2*s**3 - 2*s**3 + (-235*s**2 + 507*s - 507*s)*(2 - 6*s**2 - 2).\nAnswer: 1412*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, -216, 180, 0, -3, 0.3 in increasing order.\nAnswer: -216, -3, 0, 0.3, 112, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/43005600 and 91\/31537440.\nAnswer: 473061600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195951?\nAnswer: 37, 32323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10922, 10905, 10890, 10877?\nAnswer: 10866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26673851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*h**2 + 85*h**2 - 27*h**2.\nAnswer: 89*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-9) - 46\/(-45). Let u = -5403\/4 + 1306. Let f = 44 + u. Which is the third smallest value? (a) f (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -35*p**3 + 36*p**2 + 10*p + 11. Let d(h) = 7*h**3 - 7*h**2 - 2*h - 2. Let n(y) = -11*d(y) - 2*j(y). Find c such that n(c) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2085, 5148, 8211, 11274?\nAnswer: 14337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -82. Let n = 698.028 + -660.02835. Let d = n - t. What is d rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 78469011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 2 + 2*24\/50. Is y > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63444017 is divided by 933.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((-1800)\/(-18))*-4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 3, -546, -2 in decreasing order.\nAnswer: 4, 3, -2, -3, -546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1788149 is divided by 2649?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -8*m**5\/15 + m**4\/24 + m**2. Let r(i) = -i**2. What is r(b(v))?\nAnswer: -1024*v**4 + 64*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9517 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 4:23 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1062068438 to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 292*a - 288*a = -13, -5*t - 3*a = 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2855757237 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 + -90. What is the common denominator of ((-267)\/(-28))\/(5*3\/z) and 3\/584?\nAnswer: 4088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -95630 - -95639 - (1 - -4 - (-1 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 33 + 5 = 0. Suppose 24*b + 90 = 42*b. Let d(y) = 13*y + 25. What is the remainder when d(b) is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -628807, -1257625, -1886443, -2515261?\nAnswer: -3144079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4 - 10. Suppose -c*d + 1 = 3*a, 2*d - d + 10 = 2*a. Solve -3*g - 18 = -a*o, -4*o = -g + 3*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -3. Let w(q) = 8 + 0*q**2 - 12 - 4*q**2 + t*q. Let b(h) = h**2 - h + 1. Let c(v) = 5*b(v) + w(v). Let j(p) = p - 1. Calculate -c(k) - j(k).\nAnswer: -k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 39*s**2 + 109*s - 29. What is n(36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a**3 + 56*a**2 - 21*a - 166. Let v be b(-8). Let i(n) be the first derivative of 0*n**v + 13 - n - 10\/3*n**3. What is i(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-4))\/((-1)\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1. Let r(c) = 35*c + 1 + 1 - 109*c + 39*c + 37*c. Let a(q) = 5*q**2 + q. Let o be a(-1). Let k be 1\/(-3 - -1*2). Give k*r(v) + o*t(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 310 - 343?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/108)\/(((-28)\/6)\/(-7)))\/((-1784)\/(-892))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u + 35 = 0. Let x be 3366\/126 - 2\/u. What is the tens digit of 0\/4 + -3 + x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-50)*5\/(-2). Let v(s) = s**2 - 10*s + 6. Let m be v(9). What is the nearest to 0.1 in w, 1\/5, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1241 (base 10) to base 15.\nAnswer: -57b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1313073 and -0.155.\nAnswer: -203526.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2. Let f(g) = 158707*g. Calculate a(f(y)).\nAnswer: 50375823698*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27952 + d + 5*d + 27952 - 2*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 319*a - 7. Let y be o(1). Calculate the greatest common factor of 48 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 12:11 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(42\/3))\/((-5)\/(-370))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*w - 36532 = -177892. Calculate the greatest common factor of w and 190.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**3 + 15*i - 4*i**2 - 4*i**3 + 4*i**4 - 19*i.\nAnswer: 4*i*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - -113221?\nAnswer: 113323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -5*m**2\/2 - 29216. Let c(k) = -2*k + 4*k - 3*k. Give b(c(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -1792?\nAnswer: -178d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 12*m - 3. Let a(r) be the third derivative of r**7\/1260 - 53*r**4\/8 - 5*r**2 - 15. Let y(i) be the second derivative of a(i). What is y(x(f))?\nAnswer: 288*f**2 - 144*f + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 f, and 1 j when four letters picked without replacement from gkjffssk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -j - 24, 70 = -5*j + i - 6*i. Suppose 5*s - 1035 = -4*h - 321, -2*s = 2*h - 356. Let f = h + j. Calculate the highest common divisor of f and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205509124?\nAnswer: 2, 17, 191, 15823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1016 - -99. Let z = -913 - d. Determine k so that -3\/4*k**z + 0*k + 1\/4*k**5 - 1\/4*k**3 + 7\/4*k**2 - 1 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p**2 + 2*p + 4. Let v(n) = 20*n**2 - 6*n - 13. Let b be (36 + -68)\/32 + -5 + 1*-1. Calculate b*q(l) - 2*v(l).\nAnswer: 9*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 16*w**2 + 7*w. Suppose 10 = o - 2. Let i be a(o). What are the prime factors of i\/21 + -2 + (-6)\/(-21)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from immmmdyqyymiimymmmm. What is prob of sequence yq?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 130.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 14. Let x(t) = t - 13. Determine -2*m(g) - 3*x(g).\nAnswer: g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -661\/5 (b) -0.03 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yya when three letters picked without replacement from yyayccacaccyacc.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7031*u**2 + 7038*u**2 - 14072*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -348548*f*i**2*s + 9*f*i*s - 3*f*i + f*s - i**2*s + 2*i*s + 7*i - 7 wrt i.\nAnswer: -697096*f*s - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 165138470 > 165138469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*n = 199*n + 1907066 + 995868. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 463, 460, 457?\n\"Answer: -3*o + 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h - 10. Let f be i(7). What is the greatest common factor of f and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 427.7678kg?\nAnswer: 427767800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 27*i - 4*i - 2*i + 23*i**2 - 19 + i**3. Determine f(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + (4 - -3) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2 = -6. What is the common denominator of 234\/8*x\/3 and -115\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rym when three letters picked without replacement from rym.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 315, 476, 543, 516?\n\"Answer: -47*g**2 + 302*g + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 3, e: 4, n: 1, s: 9}. What is prob of picking 2 l and 1 e?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**6\/120 + 7*g**5\/60 - 7*g**3\/6 + 12*g**2 + g. Suppose -j = j - 14. Suppose q = -0*q + j. Calculate h(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/(-264)*(-3)\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1836 - 1836. Which is the nearest to o? (a) 0.4 (b) 2\/7 (c) 3\/4 (d) 2\/131\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7602 + 6942 = 24*c. Is c less than 607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*p + 6 = -75*p. Let b be ((-1)\/(-1))\/((-1)\/(-5)). What is the lowest common multiple of 5 + b\/p + 4 and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 1828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.35 rounded to 0 decimal places?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12244, -12043, -11844, -11647, -11452?\n\"Answer: -m**2 + 204*m - 12447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 21 (b) 1\/2 (c) -4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830724 is divided by 6390?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5462.07 rounded to the nearest 10?\nAnswer: -5460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 624\/(-26)*(-2233)\/1624?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 5*f - 4*f)*(1 - 1 - f) + (5 - 5 - 18*f)*(-2*f + f - f) + f**2 - 4*f**2 - 4*f**2.\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*h = 93, -2*h = -195 + 189. Sort -4, g, 1, -9.\nAnswer: -9, -4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 20*b - 43. Calculate the remainder when 231 is divided by g(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 311213 or 311163?\nAnswer: 311163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/14)*v)\/v**(3\/7) assuming v is positive.\nAnswer: v**(11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5, 1\/3 in descending order.\nAnswer: 1\/3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124941*z + 124926*z + 660 = 0 for z.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((4\/(-12))\/(12\/(-18)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**0*y)**(2\/47)\/((y\/(y*y**(-2\/7)*y))\/y*y\/(y*y\/(((y\/(y\/(y\/y**(-3\/5)))*y*y)\/y)\/y))*y))**(-45) assuming y is positive.\nAnswer: y**(-2952\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 8:19 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 524\/22 + (-6)\/(-33). Suppose 3*a + a = z. What is the first derivative of -18 + 0*s**2 - 6*s**2 - a*s**2 wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1275 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 2*c. Let d(y) = -4*y + 3. Give d(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = 5*p - 1, -3*p + 21 = 3*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2380\/2720 - (-6)\/(-16)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/822369?\nAnswer: 2\/822369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-91)\/(-70) - 1\/2. Let l = d - 23\/10. Let c(t) = -t**3 + 6*t**2 + 7*t - 1. Let u be c(7). Which is greater: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.9 + -22.9. Let o = -679 - -675. Which is the third biggest value? (a) o (b) p (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4175 = -4*g, -1404 = g + 4*l - 334. Is g not equal to -1049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056626401 to the power of 1\/2, to the nearest integer?\nAnswer: 32506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 33*n**2 + 659*n - 24. Calculate k(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 3*f - 3*f)*((-3 + f + 3)*(-2 + 0 + 4) + (-2 + f + 2)*(-4 + 3 + 3))*(-2*f**2 + 0 + 0).\nAnswer: 24*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94*s + 360*s - 23*s to the form y*s + m and give y.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 4*y. Suppose -r + 21 = 4*u, -2*u + 3*u - 2*r - 3 = 0. Let b be (-2 + u - 3)\/4. Solve y = -b*k - 4*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2453451 divided by 429?\nAnswer: -5719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -129*12\/(-9)*13. Suppose 5*p + 20 = 0, -3*c - 4*p - 593 = -r. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8456 and 0.0752.\nAnswer: 635.8912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 - (9 + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-15))\/(10\/25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 294.5485 litres?\nAnswer: 294548.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**13*d**(1\/7)*d*d*d**(13\/3)*d*d**3 assuming d is positive.\nAnswer: d**(493\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -2\/2977?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2269 = -664*y + 4261. Solve 20\/13*f - 102\/13*f**2 + 10\/13*f**y + 0 = 0 for f.\nAnswer: 0, 1\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-63)\/14*-2)\/2)\/((-1)\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2391548, -2391537, -2391526, -2391515, -2391504, -2391493?\n\"Answer: 11*i - 2391559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*-3 + 1 + -19441. Let t be (-1)\/(-3) + i\/(-72). Let c = t - 270. Is 0 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -4. Let z(u) = -u**2 + 5*u + 16. Let r be z(s). Suppose -32*l + 30*l = 0. Solve -3*a - 4 - r = l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 926.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 14*w**2 + 41*w + 302. Let y be g(-10). Is (y\/(-204))\/(1\/(-39)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-22))\/(4\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -3*d**8\/70 - 13*d**4\/24 - 11*d**3\/3 - 34*d**2. Let l(c) be the first derivative of s(c). Differentiate l(w) wrt w.\nAnswer: -288*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 + 0*q**2 - q**2 - 3*q**2 + q**2 + 3*q**2 + (q + 4*q - 4*q)*(-3*q - 2*q + 3*q) + 2371*q + 3 - 2375*q - 7*q**2 - 4.\nAnswer: -6*q**2 - 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, g: 4, t: 2, q: 1, r: 3}. Give prob of picking 2 g.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, m: 3, o: 2, s: 1, a: 6, z: 1}. What is prob of sequence loo?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - 2. Let v = 3 + c. Let d(q) = 5*q**2 + 3. Let a(w) = -5*w**2 + w**2 - 1 - 1. Give v*a(l) - 2*d(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244522, -244520, -244518?\nAnswer: -244516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 540\/(-45) + -57 + 56\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.927757587 rounded to three dps?\nAnswer: 3.928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide -12*5\/(40\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f - 1. Let k be o(-1). Let d be 1\/k + 16\/(-3). Let v = 0 - d. Solve -2*y - 12 = v*r + 9, 6 = 3*y - 5*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/((-13)\/(-130)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fru when three letters picked without replacement from rubrff.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 6:54 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 14, -64, 5 in decreasing order.\nAnswer: 14, 5, -1, -3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23 - 46?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-245)\/5)\/((-1)\/1). Let t = 50 - 77. Let n = t + j. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/(1 - (-16 - (-23940)\/1407))?\nAnswer: 67\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2 + 2 + (11 - 4) - 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 485730?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2603\/14 + 1279\/7. What is the common denominator of -79\/126 and l?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007711851 rounded to four decimal places?\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6712 minus 3405.78?\nAnswer: -10117.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 10*l + 7. List the prime factors of f(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 6*l + 18, 4*x + l - 135 = -145 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1323102 - 10120000?\nAnswer: -2130232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-20))\/((39\/15)\/((-26)\/26)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3724487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**3 - 4*q**2 - 61*q + 8. Is h(-7) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 7*o**4\/12 + 411*o**2 + 2. Let q(x) = -18*x**2 - 2*x**2 - x**2. What is q(i(t))?\nAnswer: -4116*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/8 + 120\/48)\/6. Let f(o) = o**2 + 2*o - 2. Determine f(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 735*f**3*y**3 - 2*f**3*y**2 + 206*f**3 + 2*f**2*y**4 - 6*f**2 + y**2 wrt y?\nAnswer: 4410*f**3 + 48*f**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {n: 1, q: 2, t: 5, w: 2, u: 2, x: 5}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4, -2, 4, 2 in decreasing order.\nAnswer: 12, 4, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3892, -3996, -4100, -4204, -4308?\n\"Answer: -104*a - 3788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 851.4449ml in litres?\nAnswer: 0.8514449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*o = 1013 + 4509 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 990*g - 326*g - 337*g - 330*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 3:28 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 80877893 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2927 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 94*n**2 + 183*n + 4020. Calculate y(92).\nAnswer: 3928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1104000 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(168)\/(sqrt(7)*-1))\/(sqrt(1152)*1).\nAnswer: -sqrt(3)\/12 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22663166 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 3. Let y(x) = 55*x**3 - 7. What is -3*d(g) - y(g)?\nAnswer: -58*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 16. Suppose 6*q - 5*q = -i. Let v = q - -20. Calculate the highest common factor of v and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 101\/(17170\/(-8636)) - -53?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.8854892 + -0.1144858. Let d = 0.048 - -18.952. Let b = d + l. Round b to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**5 + 108*t**3 - 18*t - 23.\nAnswer: -60*t**3 + 648*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1. Let k(q) = -1. Let a(s) = -2*k(s) - 3*p(s). Let z(t) = 6*t**3 - 12. Let y(m) = -15*a(m) + z(m). Differentiate y(c) wrt c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**5\/4 - y**4\/3 - y**3\/2 - y**2 + 3*y. Let w be i(-2). Is 2 a factor of 6\/(-4) - (-182)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1132 or 7930\/7?\nAnswer: 7930\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*y + 4*i - 23, 3*i = 2*y - 20. Is y\/(-14)*(-23726 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -488*t**2. Let j(u) = -356*u**2. Calculate b(j(l)).\nAnswer: -61847168*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 16) to base 3\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 305737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 1829*g + 3. Is v(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 708047735 to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u - 124. Let f be j(-21). Solve -4*o + 3*o = -f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 336238.41613?\nAnswer: 336238.91613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 18182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 4. Let x be a(-7). Suppose -i - x = 2*i, 5*y - 5*i = 100. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529597 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2*i + 46 = 0, 2*i + 58 = 430*v - 425*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3294, 3287, 3276, 3261, 3242, 3219, 3192?\nAnswer: 3161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence occ when three letters picked without replacement from oxxoxxxcco?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 88*m + 12. Let c be 156\/(-24) + 7 + (-1)\/(-2). Calculate the remainder when v(c) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167636033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 10*b**2 - 4*b - 43. Determine c(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43300992 and 4288?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*k + 10. Suppose -k*h - 29 = 9. Is (-1)\/(((-18)\/h)\/1 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54 - -0.3161063.\nAnswer: -53.6838937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**6\/5 + k**5\/20 - 14*k**3 + 203*k. What is the second derivative of f(p) wrt p?\nAnswer: 72*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -0.04. Let d = -11.36 - -11. Let h = d + q. What is the third biggest value in h, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(605) - sqrt(605)*-2)**2 + sqrt(605) + sqrt(605)).\nAnswer: 44*sqrt(5) + 10890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 6:19 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 1\/5*j**5 + 1\/3*j**3 + 1\/105*j**7 + 1\/15*j**6 + 2*j + 1\/5*j**2 + 1\/3*j**4 + 0. Factor z(v).\nAnswer: 2*(v + 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46337 divided by 4921.\nAnswer: 46337\/4921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -48*j + 175. Let n(p) = 25*p - 105. Let q(l) = 5*n(l) + 3*y(l). Calculate q(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k. Let y(o) = -17 + 22 - 4*o + 11*o. What is -6*d(j) - y(j)?\nAnswer: -j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = w. Let v(l) = l**2 - l**3 - l - 7*l**w + 9*l + 10. Let k be v(-7). Is k bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -52.2. Let l = 10.6 + j. Round l to 0 decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 10 = -4*s, 71*s = w + 67*s - 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z = -5*l + 21, 0 = 5*z + 3*l - 23. Solve 0 = k + z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a5 (base 11) to base 2\nAnswer: -1110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 267322\nAnswer: -2\/133661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158014336 divided by -4.\nAnswer: 39503584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7539340?\nAnswer: 2, 5, 173, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*w - 184 + 230. Let b(f) = 300*f**2 - 6*f + 8. Let q(l) = -599*l**2 + 13*l - 17. Let d(u) = 7*b(u) + 3*q(u). Is d(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(5) + -3 + sqrt(5) + sqrt(5) + sqrt(5))**2 - (sqrt(280)\/sqrt(7))\/sqrt(8).\nAnswer: -25*sqrt(5) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1359?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w - 3. Suppose -140 = -5*o - 0*o. Suppose o - 8 = -5*i. Does 13 divide a(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10639 - (-5 - -18) - (0 - -1).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -5, 485 in ascending order.\nAnswer: -5, 15, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327215541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57297383 or 57297384?\nAnswer: 57297383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/336 or 0?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0974 in -0.01717, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152 - 173. Let x = d - -18. Which is smaller: -7 or x?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3953365753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*m - 6*d - 11, -m + 4*d = -11. Suppose -1776 = -a - k, m*k - 3166 = 5*a - 12054. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94442\/41 or 2303?\nAnswer: 2303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/42 and 1\/96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 471*c + 1 - 8*c**3 - 466*c - 52*c**3 as w + k*c**2 + m*c + q*c**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4232726 to the power of 1\/2, to the nearest integer?\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -12 (b) 1 (c) 4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = z - 0*z - 43 + 15, -c + z = 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -77 divided by 2\nAnswer: -77\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 = -2*j, 37*h - 39*h = 8. Solve -o = j, -4*q + 6*o = 7*o - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -128658*a**2. Let p(z) = 9*z. What is p(v(u))?\nAnswer: -1157922*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*j - 36*j + 1 - 1 + 9*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + d - 1. Calculate u(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-50592)\/(-34) + 0\/(-2) + 2?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 10:07 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -448?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365500000 = 4*z - 21*z. What is z rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 30 = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1565609, 1565615, 1565621, 1565627, 1565633, 1565639?\n\"Answer: 6*x + 1565603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/539860883?\nAnswer: -2\/539860883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a century in months?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w - 11*w**3 + 10*w**3 + 2*w - w**3 + 4*w**3 - 2*w**3 + (6*w**2 - w**2 - 2*w**2)*(-22 + 22 + 10*w).\nAnswer: 30*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 2*z + 2*z + (3*z - z - 4*z)*(z + 1 - 1) - 4*z**2 + 6*z**2 - z**2 + z**2 + 0*z**2 + 2*z**2 + 0*z - z**2 + 0*z - z**2 - 28*z - 5*z**2 + 0*z.\nAnswer: -3*z**2 - 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n - 3. Let y be r(-2). Let t = -8.1 - -7.9. Which is the smallest value? (a) y (b) t (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*((sqrt(288) - (sqrt(288) + 2)*-3) + -3*sqrt(288) + -3)*-5)**2*1.\nAnswer: 45000*sqrt(2) + 185625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l**(1\/2)))**2\/((l\/l**6)\/l**(1\/2))*((l**(2\/5)*l)**38)**46 assuming l is positive.\nAnswer: l**(24497\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 7*b**2 - 3*b + 12. Let s be g(8). What is the tens digit of 6\/4*s\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2 = -2*j - 7, 4*j + 3*x + 15 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 21*z**4\/2 - 35*z**2\/2 - 4. What is the second derivative of p(o) wrt o?\nAnswer: 252*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12 + -3)*2\/(-6). Suppose 5*w - y*s = 30, -3*w + 2*s + 1 + 12 = 0. Solve -3*z - w + 7 = 5*c, -5*c + 18 = -z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 28*s + 546 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5*k - 2*z - 6698, -5*k = -4*z - 8377. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 11*n**2 + 13*n - 15. Determine t(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yje when three letters picked without replacement from {h: 1, o: 6, e: 2, y: 1, f: 5, j: 1}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -34. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1276662369 rounded to five dps?\nAnswer: -0.12767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -893656, -893654, -893652, -893650, -893648?\nAnswer: -893646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w + 33. Let b(o) be the first derivative of -o**2\/2 - 26. Give b(z(p)).\nAnswer: -2*p - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-1955)\/(-253) + (-783)\/33?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -3*c + 3, -c + 2*t + 3 - 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/1551)\/(2*3\/(-36)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-2*o + 4*o - 5 - o).\nAnswer: -2*o + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, -25, -44, -63, -82?\n\"Answer: -19*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*2)**2 + (sqrt(7) + (sqrt(7) - (-2 + sqrt(7) + sqrt(7))))*-2 + 1*(1 + sqrt(63)*2).\nAnswer: 6*sqrt(7) + 1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -2*d**5\/5 + 51*d**4 - 650*d**3 + 123. Find the third derivative of n(z) wrt z.\nAnswer: -48*z + 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 62*x - 2. Is m(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06 or -4284738?\nAnswer: -4284738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 1331.\nAnswer: 5324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-468) + (-168)\/13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0889324587 rounded to four decimal places?\nAnswer: -2.0889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 91209 = -4*v + 91215, -v = 4*b - 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82 - (-155 - -102)) + 72?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00054836 rounded to 5 dps?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3 = 2*r + 11, -r = -3*w + 27. Let p = -6 + w. Calculate the remainder when 10 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, x: 1, e: 1, s: 2, y: 1, m: 1}. What is prob of sequence sy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/5 + (-16)\/(-40). Find the third derivative of 6*b**3 + 3*b**4 + b**2 - 6*b**n wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10752 and 16968?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {e: 2, v: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1932 and 45\/14345422.\nAnswer: 86072532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 4*l**4\/3 + 9*l**2\/2 - 3*l. Differentiate s(d) wrt d.\nAnswer: 32*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 1496*h**2 - 20 + 13823*h**2.\nAnswer: 15319*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1135\/11 + 103. What is the closest to -2\/5 in 1\/13, k, -4\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2. Let v(w) be the second derivative of w**4\/12 - 7*w**2\/2 + 5*w - 2. What is -14*a(q) + 4*v(q)?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 560, 1528, 2494, 3458, 4420, 5380, 6338?\nAnswer: 7294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*u**2 + 9*u**2 - 43*u**2)*((-u + 0*u + 3*u)*(0*u + 0*u - 2*u) + 2*u - 2*u - u**2) as r*u**4 + l*u**3 + i + s*u + f*u**2 and give r.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 5358?\nAnswer: 42864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -224\/11741 - -1486300\/50826789. Find the common denominator of r and -50\/9.\nAnswer: 4329","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42980 by -35.\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -88*g - 298 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48156 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 854*c - 20915. What is a(23)?\nAnswer: -1273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-4 - -4) + 7 - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 90 = 26*s. What is the hundreds digit of 3*51 + 24\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60356, 120711, 181066, 241421, 301776, 362131?\nAnswer: 422486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kls when three letters picked without replacement from sgslkkggglagkkg?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/(375\/14) + 12\/(-9). Put a, 5, -229 in decreasing order.\nAnswer: 5, a, -229","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1403.\nAnswer: 5\/1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.36 + 0.64. Let h = -48 + i. Let y = -23.0002 - h. Round y to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 40?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 7*u + 2*u = -10, -4 = -2*g - 2*u. Let k(c) = c**2 + 12. Let x be k(g). What is the units digit of 88\/3 + (-4)\/x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 12 = 17*x. Suppose -3*q + 130 = 5*d, 0 = x*q - 2*q - 4*d - 50. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -331*m. Let n(u) = -931*u + 9. Calculate n(k(j)).\nAnswer: 308161*j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -88\/9, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2017476 from 0.1.\nAnswer: -0.1017476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**3 + 48*g**3 - 25*g**3.\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 25\/92?\nAnswer: 25\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/14)*d)\/d)\/d**(-6\/7))**(-34) assuming d is positive.\nAnswer: d**(-187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxhh when four letters picked without replacement from xxah.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 7*g + 5. Let c be x(-8). Let d be (-5 - (1 + c)) + 3. Let p be (d\/2*2\/(-4))\/(-2). Round p to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00071969 rounded to five dps?\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-154)\/(-33))\/(-14))\/(7 + 280\/(-48)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -5, 0.1, -1\/704 in decreasing order.\nAnswer: 4, 0.1, -1\/704, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*k = 0, -k + 10 = 4*a - 2. Let y(j) = 9*j + 4. Let w be y(a). What is the highest common divisor of 55 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 4*d + d**2)*(-78 - 2*d**2 - 50 + 84).\nAnswer: -2*d**4 - 44*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 9*t**2\/2 - 3*t + 8. What are the prime factors of v(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155450 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**3\/6 - v**2\/2 + 6*v - 3. Let p(l) be the first derivative of s(l). Let y be p(2). Solve 2*r - 3 - y = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 + 51 - 114 + 5*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16348.64 years in decades?\nAnswer: 1634.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghhh when four letters picked without replacement from {g: 2, h: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2, -395, 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12627*r**4 - 997*r + 1150*r - 21*r**2 - 169*r - 5 wrt r?\nAnswer: -303048*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*t + 18241 = 182*t - 69*t for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 434.\nAnswer: -4, -1, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-12) + (32\/(-12) - -1). Is z\/5 - (-7 + 15255\/(-25)) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**4\/4 - 8*z**3\/3 - 3*z**2\/2 - 9*z - 2. Let o be d(-8). Suppose -7*w = c - 2*w - o, 0 = 2*w - 6. Solve -4 = -4*k - c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from razzqrrqr. What is prob of sequence qzz?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 6*t**2 + 8*t**2 + t - 1 - t**4 as x*t**2 + g*t + f*t**4 + z + u*t**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*g*k*l - 625412*g*k - 894*g*l + 2*k*l wrt l?\nAnswer: 16*g*k - 894*g + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10469471 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1102012111?\nAnswer: -1102012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25527.\nAnswer: 3, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247025 is divided by 1544?\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 + -90. What is the third smallest value in p, -1, 1\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 2:57 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*v + 7 = 0, 3*r = r + 2*v + 2. Sort 4, r, -43 in increasing order.\nAnswer: -43, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 49 - 738 - 452*s - 200 + 87.\nAnswer: -(s + 2)*(s + 450)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*-2*5\/(-2). Let t(h) = -2*h + 3. Let j(l) = -1. Let x(s) = 4*s. Let y(f) = 5*j(f) + x(f). What is k*t(n) + 3*y(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r + 4*d + 71228745 = 0, -5*d = -2*r + 28491515. Let v = -6795745 + r. What is v rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 3*h - 30, -5*x - 201*h + 198*h = 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3311 is divided by 932.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (98 - 78 - (-1 + -4)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -311, -1, -58.\nAnswer: -311, -58, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40\/3*f**2 + 1\/9*f**4 - 16*f + 23\/9*f**3 + 0.\nAnswer: f*(f - 1)*(f + 12)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(14\/(-4)) + 0. Let f be 8\/6 + 5\/(-15). Suppose -7*p = -2*p. Put f, p, z in ascending order.\nAnswer: p, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6174.67 millennia?\nAnswer: 617467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*(-9)\/(765\/68).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 52232.\nAnswer: -1\/13058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169855513 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 4 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1089 and 15993417?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -30, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 677 + -663. Which is smaller: j or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**3 + 18*x**3 + 4 - 2*x + 31*x**3 - 2.\nAnswer: 59*x**3 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + v = -6, -4*v - 4 + 1 = u. Let p = 5 - u. Suppose -p*m = 5*c - 336, -c - 200 = -4*c - 2*m. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4051)\/(-2) - 9*7\/126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fss when three letters picked without replacement from sqfs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/29151738 and -32\/457083.\nAnswer: 262365642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44778 and 0.3?\nAnswer: -13433.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*s = -3 - 0, -2*s = -4*w + 6. Suppose 2 = 2*f - 4. Solve 3*z + 4*c + 2 = 0, w*z + f*c = 7*c - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.12404256 to 2 dps.\nAnswer: -1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b + 8. Suppose 4 = -b*p + 2. Let t(s) = 4*s. Let o(j) = -2*j. Let x(i) = 7*o(i) + 3*t(i). Calculate x(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 2. Let m = -53 + 58. Suppose -c + 4 = 2*l, m*l = 4*c - c + 21. Determine x(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23, 0.6, 1\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 327405 a multiple of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 + -58. Let k = 0.0519854573 - 31.0519841173. Let j = l + k. What is j rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612*b + 614*b = -3*m + 27, 5*m + 2*b = 37. Let r be -11*1 - (2 - 1). Sort -4, -5, r, m in descending order.\nAnswer: m, -4, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -g - 1 - 11, f - 5*g = -12. Suppose f = 7*p - 6*p. What is the smallest common multiple of 24 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -21*a - 33. Calculate the remainder when 12 is divided by l(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 74235*f - 594072.\nAnswer: 3*(f - 24753)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiibiibbiibbibb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 5*y - 1151 = -4*d, 4*d = 2*y - 2266. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 25 = -12*h. Suppose 2*l = -h*j + 9 - 108, 3*j + 3 = 0. What is the units digit of 3\/(-9)*-9 - l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35766 = -4405*a - 1556*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 359 + 1601. Suppose -4*b + j + v = 0, j = 3*b + 3*j - 170. Suppose -9*k = -12*k + b. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159249666 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/1*(3 + -1). Let p = -4 + s. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -812*y - 11926. Is b(-72) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 - 2*r + 1. Let y(v) = 1773*v**3 + 36*v**2 + 662*v + 9. Let s(f) = 18*h(f) - 2*y(f). What is the second derivative of s(q) wrt q?\nAnswer: -21276*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 8*k - 18. Let l be v(-10). Suppose -3*i = -l*a + 4, a + a - 4 = -5*i. Solve u - 1 = a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 118\/390 - (-1)\/(-3). Let m = 348852 - 348853. Which is the nearest to 0.2? (a) 0.3 (b) m (c) o (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 - 1393*v + 82696. Calculate h(55).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-21)\/1)\/(9\/12). Suppose 4*y = y - 48. Let m be w\/y + (-2)\/(-8). Put m, -1, 4 in increasing order.\nAnswer: -1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 34*h**3 - 2*h**2 + 7*h - 6. Let x be m(1). Let j(w) = w**3 + 5*w**2 + 3. Let r be j(-5). Calculate the greatest common factor of r and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9779 + -9788 - (1 + -2 + (-1 - -45) + 0).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -244, -213, -182, -151?\n\"Answer: 31*q - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -196 + 164.8002241\nAnswer: -31.1997759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -30.82*-0.00133\nAnswer: 0.0409906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -8599?\nAnswer: 1719.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 5*y**2 + 32*y + 37. Let f be x(9). Put -103, f, -10 in ascending order.\nAnswer: -103, -10, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4325 - -3?\nAnswer: 4328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.9803 - 0.0197. What is the second biggest value in 0.1, q, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let c(w) = -307522*w. Give g(c(t)).\nAnswer: 307522*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/24 (b) 4 (c) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 3016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3000150?\nAnswer: 2, 3, 5, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z. Let c be 0\/(-3)*-4*(-2)\/16. Suppose -2*v + c*v + 230 = z. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6726 divided by 57.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-833)\/476*20\/(-14)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 5516095*r**2 + 5516095*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m - m - 20 - 2*m + m**2 - 6*m. Let o be f(9). Let w = 27 - o. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.2 at least as big as -0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1429 times 0.08\nAnswer: 114.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, e: 4, w: 6}. Give prob of sequence ewe.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32737311 divided by -1.\nAnswer: 32737311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -166*x - 48*x**2 + 81*x + 85*x. Let n(l) = 9*l. Determine t(n(v)).\nAnswer: -3888*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -148 + 63. Calculate the remainder when (459\/k)\/((-3)\/10) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*b - 53, 5*j + 5*b + 4 = 2*j. Solve 0 = -j*a - 6*a - 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*b - 4*h + 17, 2*b = -3*h + 19. Let m be 5*b*-5*15\/(-50). List the prime factors of 10\/((-9)\/m*(-1)\/3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54332 is divided by 6789?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2073 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-3\/4)\/(t*t**(-1\/4)*t))\/((t*t*t**(-2\/13)\/t*t*t)\/t*t\/(t*t**(10\/9))))**(-9))**(-5\/8) assuming t is positive.\nAnswer: t**(-3785\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 336\/1523 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4104791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1351508 divided by 337877?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -143092 and -1.\nAnswer: -143093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n - 7. Let a(m) = m. Let h(v) = -2*a(v) + t(v). Let p(f) = -7*f + 8. Determine -6*h(x) - 5*p(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.06545\nAnswer: -0.2618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266499 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2 + 3*b. Let l(d) = d**2 - d. Let j = 29 - 23. What is j*i(o) + 17*l(o)?\nAnswer: -o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**0*q\/(q**(-5)*q)*(q**(1\/3)*q)**(4\/27))\/((q**2\/q)**(-12\/7))**47 assuming q is positive.\nAnswer: q**(50332\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 17*g - 13. Let l be v(-16). Solve -7*b + l*b + 20 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94305 and 61455?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.596.\nAnswer: 1.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -10*t + 10. Let o(l) = 8*l - 4. Let u(x) = x. Let s(n) = o(n) - 4*u(n). Let k(d) = d**2 + 24*d + 120. Let b be k(-6). Give b*s(v) + 5*y(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -213101 - -102043?\nAnswer: -111003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1 = 4*r, -1 = -3*b - r + 18. Solve -2*y - 9 = -2*f - y, -13 = -2*f + b*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.8363951 * 0.02.\nAnswer: 0.056727902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 6:56 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*n - 20 = 0, h = -n - 0*n - 8. Let o = 11 + h. Solve o = a - 3*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 27. Let b = s - -32. Suppose 3*q - 41 = -0*q + d, 4*q - 33 = -3*d. What is the highest common divisor of b and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*h**2 - 4*h = 0.\nAnswer: 0, 1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 698153 is divided by 349053.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + s. Suppose -4*d - 16 = 0, 2*j - 3*d + 4 + s = 0. Let q(y) = y**2 + 7*y. Calculate q(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1523748 - 4.\nAnswer: -5.1523748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*r - 14619 = 17918 - 10497 for r.\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - -0.2. Let s = 32.7 - 0.7. Let x = s + -32.1. Which is the closest to x? (a) -2\/5 (b) d (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13)*3 + 5)) + (sqrt(13) + sqrt(52)\/sqrt(4))*-3 + (2*(-2*sqrt(1300) + sqrt(1300)))**2*4)*-6.\nAnswer: -124770 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 234309174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != 954\/527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 3017145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2 - 5*n + 2. Let x be w(1). Put x, -3, -34 in decreasing order.\nAnswer: x, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 4)*(0 + 0 + j) - 44*j + 89*j - 24*j - 3 + (-14*j + 6*j + 25*j)*(2 - 2 - 1) to the form p*j + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 3*m**2 - 3*m. Let r(c) = -c**3 - 7*c**2 - 7*c. Let x be 8\/(-224)*-70*-2. Determine x*l(y) + 3*r(y).\nAnswer: 2*y**3 - 6*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-6))\/((-2)\/(-6))*8. Let u be -1 + q + 3 + 0. Let d(a) = 27*a**2 - a - 1. What is the hundreds digit of d(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 181.1 + -175.4. What is the closest to 0.1 in -5, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 8 + 2129*y + 8.\nAnswer: 2129*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 738*p**2 - 12*p. Let a(k) = 100*k. Determine a(d(b)).\nAnswer: 73800*b**2 - 1200*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from {f: 1, w: 3, n: 7, h: 6}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.17, -2, -4, 4.1?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + 18*j - 8. Give h(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + 240?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**(2\/7)*u)\/u)**(-10)\/((u*u\/(((u\/(u\/(u**(-7)*u)))\/u)\/u))\/(u*u**(2\/15))) assuming u is positive.\nAnswer: u**(-4381\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c - 2. Let j be u(1). Let a = j - -8. Solve o + o = a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**8\/140 + 13*q**7\/630 - q**5\/30 + q**4\/2 - 22*q**2. Let d(r) be the second derivative of x(r). Factor d(v).\nAnswer: -4*(v - 1)*(3*v - 1)*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -6. Suppose o = 2*l - 4*l, 0 = 4*f - 4*l - 8. Find the second derivative of 0*n**2 - n**2 + 4*n + 0*n**f wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(12\/176)*(-11)\/(-4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -1802, -4 in decreasing order.\nAnswer: 4, -3, -4, -1802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezzzzzzzzzzezez. Give prob of sequence eeez.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*m + 112*m + 1072500. What is m rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + 6*(1 + 5*1*(1 + sqrt(108))) + -1)**2.\nAnswer: 12600*sqrt(3) + 98427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 16*z = 20. Let y(q) = -q**2 + 5*q + 11. Let t be y(z). Is t greater than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 620 by -1.\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 + 0)*(3*z**2 - 3*z**2 + z**3) + (5*z + z - 4*z)*(0*z**2 - 8*z**2 - 5*z**2) + (3*z**2 + 0*z**2 + 5*z**2)*(-1 + 1 + z)*(1 - 1 - 2).\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from azzee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5) - (-1 + (-192)\/30). Find the second derivative of 46*y**4 - j*y + 3 - 4 - 146*y**4 wrt y.\nAnswer: -1200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -473, -949, -1425?\nAnswer: -1901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.2, 2\/9, 11, 44.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234220 is divided by 155.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 - 70333332*t\/7 - 618347198777778\/7.\nAnswer: -2*(t + 17583333)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = s - g + 6, -5*s + 1339 = -3*g. Let h = -180 + s. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1827 + 3226. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/6*6\/(-4). Let m be (h\/6)\/(12\/(-18)). Suppose 0 = -2*j - 0*j + 4. Solve 3*s + s - j*t - 28 = 0, 2*t - m = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 12 = 0, -q + 3*h = 4*h - 18. Let b = q - 12. Is 4\/6*291\/b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5*k = 3, -3*y + 8*y + 5 = -3*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 35 - 127. Let z(m) = 2*m**2 + 6*m - 5. Let r be z(4). Let f = w + r. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(126)\/sqrt(2))\/sqrt(9) + sqrt(7))**2 + 5 + (2*(sqrt(448)*-2)**2 - (5 + -1*sqrt(448))).\nAnswer: 8*sqrt(7) + 3416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 197 - 196. Let k be 0 + l - 57\/(-19). Solve 4*q + 6*d = 2*d + k, -d + 1 = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 854*b**3 - 5*b**2 + 1158*b - 2311. Determine i(2).\nAnswer: 6817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 40.1 * -57\nAnswer: -2285.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 21 = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*a = -147*a + 210*a - 11224811. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 1 + 2. Suppose 422 = y*c - c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h - 5*h + 21*h + (0 - 1 + 0)*(-4 + 4 + 2*h) + 3*h - 6*h + h to the form v*h + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + r + 3. Let h(o) = o - 1. Let j(n) = 2*h(n) + p(n). Determine j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37987795 and 31120.\nAnswer: 1945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2306 - 184. Let o = -1353 + a. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2355401 (base 6) in base 13?\nAnswer: 447a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -440 + -4244?\nAnswer: -10234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2\/3, -3, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2714 - 2558 = -685*x - 477 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4675 divided by -55?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -1.7 (c) -4\/9 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o - 12 = 0, -3*m - o + 16 = 0. Calculate the smallest common multiple of 67 and (-136)\/(-14) - (-3)\/(42\/m).\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 6*n**2 + 7*n + 5. Suppose o = -x + 32, -x + 3*x = -5*o + 55. Suppose -5*c + 10*c = -x. Is 5 a factor of g(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -11. Suppose -5*h + 6 = -b. Suppose -3*s + 14 = -3*i - 85, -h*i = 9. 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: Convert -1100 (base 2) to base 14.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 2. Let u be 5\/((-15)\/(-4))*-3. Let v be (-6)\/(2\/u*3). Let n be t(v). Solve y + 11 = -n*g, y + 5*g = -15 - 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62550170 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-14)*-7*6\/2*3800\/(-798)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -219*k - 161. Let q(v) = -73*v - 53. Let y(p) = 3*d(p) - 8*q(p). What is the first derivative of y(l) wrt l?\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 17052 - 3447. Let h = s + -820. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -21\/8, 4, 1\/5.\nAnswer: -21\/8, -1\/2, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a5 - -67?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y - 4*y + 5 - y. Give z(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1865883.\nAnswer: 1\/1865883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and 6.8.\nAnswer: 0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -29*f + 11*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(6\/9) + -1. Let c = 3 - k. Let g(o) = -o**2 + 5*o - 5. Let f(i) = -4*i + 4. Let l(v) = -4*f(v) - 3*g(v). Calculate l(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24674 * 3\nAnswer: -74022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*f**3 + 12*f**4 + 2*f**2 + 0*f**4 + 95*f**3 + (0 + 0 + f)*(-f**3 - f + f) to the form k*f**2 + o*f + v*f**4 + t + a*f**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.239*0.3\nAnswer: 0.0717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4178 is divided by 69.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 182 = -p, -15*p = -10*p + 4*w - 910. List the prime factors of p.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 30*c**2 - 21. Let g(h) = 3*h**2 - 2. Let y = 0 + 42. Determine y*g(o) - 4*z(o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {k: 5, o: 8}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 5*k. Let c be u(-4). Suppose -c*s + 8 = -4. Suppose 0 = -5*p + 53 + 22. Solve p = -s*y + 6*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 12, 47, 118, 237?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -53625, -54851, -56077, -57303?\n\"Answer: -1226*p - 52399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 701065712 and 2894.\nAnswer: 2894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 6*v + 3*v - 8, a = -a - 276*v + 1096 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 4*k**2 - 2*k - 11. Let x be n(-6). Let r = -69 + x. What is the first derivative of -i + 6*i + r - 33 - 2*i wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2 - 721*a + 23281. Give k(28).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4)*k\/(k*k**0\/k*k))\/k**(-4))\/((k*k\/k**(2\/19))\/((k*k\/(k*k**(-1\/3)*k))\/k))**(-7\/5) assuming k is positive.\nAnswer: k**(8363\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 394, 884, 1570, 2452?\nAnswer: 3530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - (-1518)\/(-44))*(1 - -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, 175, 719, 1755, 3445, 5951, 9435, 14059?\nAnswer: 19985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + -0.2. Let p = -0.1 + 0.2. Let s = y + p. Sort -0.2, -1, s in descending order.\nAnswer: s, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(11) + sqrt(704)*-2 - (1*sqrt(891) - sqrt(891))) + 1 + 4*1*sqrt(1331)*-2 + -3)**2.\nAnswer: 116699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11095520 and 9920.\nAnswer: 22191040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/11, 319, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2960 - 2957. Solve -55*w + 54*w + 5*y + 7 = 0, 2*w = -v*y - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6637.68 minus -2?\nAnswer: -6635.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 188 = -2*i - 2*i, -5*d - 20 = 0. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oobooobobooo. What is prob of picking 1 o and 1 b?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*t - 112 = 0, 164 = 2*a - 4*t - 68. Suppose a = 3*i - 2*i. Calculate the highest common divisor of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5706 = 2*x, -11*m = 2*x - 6*m - 5652. Does 32 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 (base 9) in base 16?\nAnswer: -8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*h - 30*h = -80. Let i(j) be the first derivative of j**4\/4 + 4*j**3\/3 - 7*j**2\/2 + 1. Let g be i(h). What is the highest common factor of g and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -30*a - 4. Let f = 39 - 36. Suppose -2*r - 7 = 5*l - 0*r, 2*l - f*r = 1. List the prime factors of i(l).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s + 33*s + 0*s - 25*s + 3*s**2.\nAnswer: 3*s**2 + 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2 - 6 - u + 0*u. Let n be q(-7). Suppose -v - n*v + 68 = 0. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -64, -99, -136, -175, -216?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q - 8*q + 2*q**4 - 2 + 12*q**2 + 5*q - 10*q**2 to a*q**4 + u*q**3 + b + r*q + d*q**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.266657284 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.804985006 - -4.805. What is w rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5713853 divided by -17?\nAnswer: 336109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-183)\/((-57)\/(-399)*21).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 222\/12 + 5 + (-5)\/(-10). Let r = 87 + -58. Let a = r + -5. What is the highest common factor of x and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 23 - v + 0*v + 21*v. What is the units digit of n(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3\/3 + 3580*b**2\/3 - 19238*b + 46956 = 0.\nAnswer: -1806, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*v - 9480 = 167*v + 155*v for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 13*w. Let i(l) = -l. Let y(b) = -18*i(b) - 2*v(b). Suppose 0*g - g = 3*k - 2, -5*g = -4*k + 9. List the prime factors of y(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -908*n - 4*z = -911*n + 7, -5*n + 1 = 4*z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 5*x**2 + x + 1. Let o(f) = f**2 + f - 2. Let c be o(0). Let p(a) = 4*a + 3. Let k be p(c). What is v(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, 19, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/((-1050)\/28))\/(10*(-1)\/(-155)).\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10815\/2394*21\/70 - (-25)\/(-20)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -h - 7, -4*h = -6*h + 3*q - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9db9862 + 6?\nAnswer: 9db9868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 + 689*k + 2511. Determine z(348).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3839 divide 395955406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 3*j**2 - 3*j + 2. Let g be n(2). Let q = 2 - g. What is the derivative of -98 + 99 - 29*r**q - 23*r**2 + 21*r**2 wrt r?\nAnswer: -62*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114138.\nAnswer: 2, 3, 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 14\/1290041?\nAnswer: 14\/1290041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*g - 196 + 973. Suppose -k - 1 = -2*w, -5*k + 225*w - 228*w = -g. Factor -1\/4*f**2 - 1\/2*f**k + 1\/2*f + 0 + 1\/4*f**4.\nAnswer: f*(f - 2)*(f - 1)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21919322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3729 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -42. Calculate the remainder when 15 is divided by (4\/6)\/(q\/378).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 32 = k. Let a = -12 + k. Solve -p - a = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 4*s**2 + 3*s**2)*(0*s + 2*s + 0*s) - 3 - 7*s**3 - 5*s**3 + 10*s**3 + 34*s.\nAnswer: 2*s**3 + 34*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -1.5, 4\/83, 4, 4\/7?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -541270802*z**3\/5 - 1613941806*z**2\/5 + 5913360*z - 27000 = 0. Calculate z.\nAnswer: -3, 150\/16451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49127736 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115 + -60. Suppose -5*d + 102 = 4*g, -2*d + x = 4*g - 41. Calculate the remainder when 67 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4514089.\nAnswer: 97, 173, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -10*y**2. Let o(b) = 976*b**2. Determine 176*l(d) + 2*o(d).\nAnswer: 192*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/(z**(3\/10)*z))))\/z*z**0\/z assuming z is positive.\nAnswer: z**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*l + 21 = 0, -14 = -f - 3*f + 2*l. Find the common denominator of 2 + f - (-43)\/18 and 1\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14414990.\nAnswer: 2, 5, 1013, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - -5*(sqrt(117)*-1 + sqrt(117) - sqrt(117)))\/(sqrt(81)\/sqrt(81)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*-1*sqrt(132)\/sqrt(3)*3)\/((1*-2*sqrt(36))\/(sqrt(81)\/(sqrt(9) + sqrt(18)\/sqrt(2)))).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102560 is divided by 384?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496 is divided by 125.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*s**2 + 379*s**3 - 262*s**3 - 52*s**2 in the form l*s + z*s**3 + f + d*s**2 and give z.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**5*z + 140*q**5 + 18*q*z + 7*z wrt q?\nAnswer: 20*q**3*z + 2800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 7382, 0.07?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from rwrrw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2601 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 279 + -46. Let x = -231.0016 + -3.0884. Let a = x + u. What is a rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413 - 1472 = -5*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298\/59 not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 81\/2 (b) -0.07 (c) -482 (d) 2\/7 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x - 129470 = -13*x - 3*u, 258905 = -2*x - u. Is -2 - x\/30 - 3\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 53 = -33. Let m = i - 5. What is the smallest common multiple of 3*3*(-2)\/(-18) and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1175, 886, 93, -1456, -4013, -7830?\n\"Answer: -42*l**3 + 5*l + 1212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 62 = -4*z - 78, -q + 3*z + 8 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/9 - (-16)\/72 - 46\/(-23).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894973 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 253072 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.055575 and -608.\nAnswer: 33.7896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 - 5*d**2 - 9*d + 4. Let y(w) = -5*w**2 + 4*w**3 - 7 + 13 - 3*w**2 - 13*w. Let h(i) = 7*r(i) - 5*y(i). Determine h(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*l**2 + 166 - 166)*(-8*l**3 - 46*l**2 + 46*l**2) + 2*l**4 - 2*l**5 - 2*l**4.\nAnswer: 190*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7628 + 14593 + 17150 = 1855*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*a - 1335177 + 12216942. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15319875 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 3. Suppose 0 = -8*o + 7*o. Let h be g(o). Suppose 0*i + 4*x = -h*i + 1869, 2*x + 2492 = 4*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -2*x**5\/55 + 29*x**4\/11 - 766*x**3\/11 + 812*x**2 - 4312*x + 2853. Factor y(z).\nAnswer: -2*(z - 22)**2*(z - 7)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25.088165794147 and -1.7.\nAnswer: -26.788165794147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 327*i**7\/70 - 1839*i**4\/8 + 48*i**2 + 3*i + 4. Find the second derivative of m(a) wrt a.\nAnswer: 11772*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143354 and 626.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -714*c - 182061. Give n(-255).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Let l = 30 - r. Suppose 2*a = -5*y + l, 0 = -3*y - 3 - 3. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20661 + 20661.2. Let z = -999\/13 + 77. Which is the nearest to z? (a) i (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-1 + 21\/15). Let y(c) = -c - 8*c**2 - 3 - s - 2*c**3 - 4*c. Let h(n) = n**3 + 5*n**2 + 3*n + 5. Give 8*h(g) + 5*y(g).\nAnswer: -2*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/135419 and 11\/30560?\nAnswer: 21667040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 22469459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -984 = 248*f - 207*f for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/3 and -34\/633.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + sqrt(153) - (sqrt(17) - sqrt(102)\/(sqrt(6)*2))**2).\nAnswer: -25\/4 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 7*m - 65. Suppose -2*y = -2, -4*l + 2*y = -l - m. What is the greatest common divisor of l and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -96, -126, -138, -126?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y + 18*y = 264 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30*a**3 - 4*a**2 + 4301 - 4322 + 4*a**2 wrt a.\nAnswer: 90*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 643888 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.2, -1.2 in descending order.\nAnswer: 7, 0.2, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m = 53*m + 486 - 1300 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 35028.81l?\nAnswer: 35028810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2) + 84*15\/120?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109951620899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4756843 is divided by 1189209.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699808?\nAnswer: 2, 19, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 22*p + 11. Calculate the smallest common multiple of 25 and s(2).\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**5\/30 + 5*q**4\/8 + 2*q**3 + 18*q**2. Is o(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 3\/2 (b) -3 (c) 10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15aa26977 - -2?\nAnswer: 15aa26979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 3*d - 68*d + 10*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pikdl. What is prob of sequence ik?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 - 5*b**4 + 2*b**4 + (b**2 + 0*b**2 + b**2)*(-3*b**2 + b**2 + 0*b**2) + 0*b**3 + b**4 + 0*b**3 + (-4*b - 2*b + 5*b)*(538*b + 33*b**3 - 538*b).\nAnswer: -37*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 692 and 5005063.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9867 + 9867. Solve i = -3*p - v + 6, 0 = 10*p - 15*p - 4*v + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85272 - -123272. What is b rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1040\/9 + -2077\/18. Let a = 257851\/714 - 6096\/17. Let m = a + -17\/6. What is the closest to m in t, 1\/9, -2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {s: 1, f: 2, z: 3, k: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 94421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**3 - 821*c**2 - 250*c - 6609. What is u(274)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 - 3)*(155 - 155 - 27*s) + 3*s - 6*s + 4*s)*(0 + 0 + 2).\nAnswer: 326*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z**2. Let k(y) = -51726*y. Determine t(k(j)).\nAnswer: 16053474456*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 563 divide 1688596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**2 - 4938*v\/5 - 792 = 0.\nAnswer: -4\/5, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1379 + 1475 = -12*c. Let t be 1086\/4 - (-1)\/(-2). Let u = c + t. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 2*v - 6. Let p be w(3). What is the highest common divisor of p and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/8593840 and 5\/6.\nAnswer: 25781520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 4:09 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 917 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r - 1. Let k(o) = 44*o**2 + 310*o + 53. Let l(u) = k(u) - 3*z(u). Factor l(m).\nAnswer: 4*(m + 7)*(11*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 13*g - 16. Let j be a(12). Let z be 3*(40\/(-12) - j). Determine c so that -11*c**2 + 3*c + 23*c**2 - 6 - 9*c**z = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 42. Suppose 2*a + 3 = 5*j, -11 = 5*a + 3*j + g. Let u(y) = -y**2 - 6*y + 5. Let d be u(-7). Is a at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 6*d**2 - 13*d + 19. Let u be t(-8). Let p = -1 - -1.1. Which is the nearest to p? (a) u (b) 2\/5 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 5*n - 4. Let d be (-3)\/5 + (-10)\/25. Let h(o) = 5*o**2 + 2*o + 1. Let a be h(d). What is the least common multiple of 8 and k(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 3, 1.\nAnswer: 1, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 8*r + 15. Let t(c) = c - 15. Let k(l) = -l - 19. Let f(p) = r*k(p) - 4*t(p). Let h(v) = 7*v - 2. Give -2*f(g) - 3*h(g).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/3254250 and 41\/781020.\nAnswer: 19525500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*k**2 + 3*k + k**3 + 0 + 3 - 12*k**2 as f*k + j + g*k**3 + s*k**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306681283, -306681284, -306681285, -306681286?\nAnswer: -306681287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 122001.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324763 is divided by 36084?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 12 = 5*b, -3*b + 10*o + 2 = 6*o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 283477*r**2. Let z(a) = 141*a. Determine z(n(m)).\nAnswer: 39970257*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (82 + 27908\/(-340))\/((-168)\/80)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/42*(-39)\/5*30\/(-12)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f = 72939 + 248996. What is the thousands digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -2*x + 3*x. Suppose -2*o - 3*u + 10 = 0, o + 2*u - 2 = -u. What is the remainder when x is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10162, -10154, -10158, -10180, -10226?\n\"Answer: -s**3 + 15*s - 10176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Suppose 10 = -w + 16. Let b(i) = -4 + w*i + 3*i - 5*i - 2*i. Determine k(b(y)).\nAnswer: -2*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - 111. Let n be 2090\/f*(-6)\/4. Let z = n - -75. List the prime factors of z.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 16*v - 16. Let f be y(15). Let x be (-10 - 3\/f) + 0. Let s(a) = a**3 + 8*a**2 + 8*a + 8. Give s(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z - z + 5*z. Let k(n) = 61 + 118 - 10*n - 179. Determine k(l(q)).\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y - 5. Let j(z) = 6*z + 4. Suppose -4*a = -3*a - 3. Let w(s) = a*j(s) + 2*r(s). Let f be w(5). Calculate the greatest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -23 + (-220)\/(-16))*(-3)\/(-27).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b = 88*b - 750 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p**3 + 23*p**2 - 5*p. Let z(t) = -16*t**3 - 64*t**2 + 14*t. What is 11*m(g) + 4*z(g)?\nAnswer: -9*g**3 - 3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1194718 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 23 - 56 = 0. Suppose 14 = -31*q + f*q. Let x(h) = -7*h + 4. Calculate the remainder when x(-3) is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 2 + 126746*j**3 - 3*j**2 + 160755*j**3 + 4*j**2. Let i be r(-2). What is i rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1294*g**6 + 2035*g**2.\nAnswer: 155280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k**17)\/k))**(-1\/3)\/(k**(-24))**(-9))**3 assuming k is positive.\nAnswer: k**(-632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, e: 1, y: 2, z: 7}. Give prob of picking 2 z and 1 e.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 6*n**2 + 14*n + 6. Suppose 0 = -4*w + 6 + 6. Let s be w - (2\/(-8) + 228\/(-48)). Let o be l(s). Is -6 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 1.8. Let y be ((-145)\/58)\/(715\/(-44)) - 108\/26. Suppose -2*h = -h. Put h, c, -2, y in increasing order.\nAnswer: y, -2, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59998070 by -1.\nAnswer: 59998070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33279 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005878 to seven decimal places.\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 294 by -147.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - r**2 - r + 33. Let z be j(0). Let x(n) = 2*n**2 + 3*n + 2. Let q be x(-5). Suppose z*y = q*y + 420000. Round y to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 203231, -1, 15 in ascending order.\nAnswer: -1, 2, 3, 15, 203231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - -8. Let j(v) = -2*v - 7. Let m be j(-5). Suppose -m*u - 8 = -i. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1477 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37 + 155 - 34*k**2 - 2*k - 19*k**2 with respect to k.\nAnswer: -106*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**2 + 10*p**2 - 2*p - p**3 + 2*p**2 + 2*p**2 in the form s*p**3 + y*p + h*p**2 + j and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 7:51 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.13 + -1.4287. Let s = 11.3 + -12. Let p = s + j. What is p rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63053460721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 13104.\nAnswer: -1\/4368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3041886 divided by 181?\nAnswer: -16806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -1, 83, 1\/2, -25, -1\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17\/8 - 15\/8. Let h = -1 + 0.8. What is the second smallest value in b, h, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349637 = -10220*p + 22113 + 307525 - 168275 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**2*q**2 - i**2*q + 2071*i**2 + 13458*i*q**2 - 1 wrt q?\nAnswer: 4*i**2*q - i**2 + 26916*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -760, -1508, -2246, -2968, -3668, -4340?\nAnswer: -4978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -1 + -36 + 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 13*y - 30. Let k be j(-2). What is the nearest to -2 in 2\/9, 7, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 0.2, 0.06, 1\/400, -0.4, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17310 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.09 - 0.09. Let i = -0.615 + 0.715. What is the smallest value in x, i, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**4\/12 - 2*x - 10. Let z(n) be the third derivative of -n**5\/6 + n**2. Give b(z(u)).\nAnswer: 100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -513717\/4, -1, -4\/3.\nAnswer: -513717\/4, -19, -4\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649689?\nAnswer: 3, 17, 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*(sqrt(240)\/(2*sqrt(10)*-5 - sqrt(10)))\/(-5*(sqrt(12) - (sqrt(768) + sqrt(768) + sqrt(768) + 1*sqrt(768) + sqrt(768)))))*-1.\nAnswer: -5 - 2*sqrt(2)\/2145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f. Let c be r(1). Let o(b) = -2*b - 3*b + c*b - 1. Determine o(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-12)*6416\/2005?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 11*y**2 - 2*y + 17. Let u be d(11). Let k(h) = h**3 + 6*h**2 + 5*h + 3. Determine k(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -777*k**2 - 897439*k - 4560. Calculate t(-1155).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 5*o + 1. Let v be d(4). Sort -2, -1, v in increasing order.\nAnswer: v, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b**2 + 6*b + 10. Let y(h) = -h**2 + h + 2. Let i = -11 + 22. Let z = i - 9. Give z*o(v) - 11*y(v).\nAnswer: -v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -11843*w + 11843*w + 11*w**2. Let m(o) = 2*o. Determine k(m(t)).\nAnswer: 44*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 4105*u**2 + 37009*u + 159. Give g(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + 0*h + 0*h + (-162*h + 3794*h + 2013*h)*(1 + 4 - 3).\nAnswer: 11291*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from wwwwwfwwvww?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130555866?\nAnswer: 2, 11, 51388903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 4*b + 9)*(-60*b**3 - 43*b**3 + 31*b**3) - 4*b**4 - b**4 + 4*b**4 to z*b**4 + x*b**3 + f*b + m + v*b**2 and give z.\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1))\/((140\/10)\/14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -346, -1621, -4630, -10249, -19354, -32821?\nAnswer: -51526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 = 60*x - 295 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 7:24 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 - d**2 - d. Suppose -41 = -8*x - 25. Let a(y) = 3*y**3 + y**2. Calculate x*p(l) + 3*a(l).\nAnswer: 3*l**3 + l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2. Let u(s) = -118*s - 1499*s + 141*s. Give j(u(d)).\nAnswer: -2178576*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-2)*4*(-45 + 1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24 - 24)\/((-1 + -1)\/(-2)). Put -2, t, -4, -3 in ascending order.\nAnswer: -4, -3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4539125 rounded to one decimal place?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-40)\/(-25))\/(2\/20). Suppose 0*v - 3*v = r + q, -4*r + 4*v = 64. Let d be ((-24)\/r)\/((-3)\/(-12)). Calculate the greatest common divisor of 12 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.228872817 and -5598.\nAnswer: -5597.771127183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 456296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = 2. Suppose -j*r + 6 = -0*r. Suppose 3*m - g = 12, -3*g - 13 = -5*m + r. Solve 3*n = -m*u + 4 - 1, 3*u = n - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3578 plus 23031280214?\nAnswer: 23031283792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 37*d**3 - d**2 + d - 1. Let b be k(1). What is the common denominator of -58*2\/b - -3 and 43\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m - 5*m)*(0*m**2 + 2*m**3 + 0*m**2) - 3*m**4 + 4*m**4 - 2*m**4 + (-m + 2*m - 5*m)*(-m**3 + 4*m**3 - 2*m**3).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2741886 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: List the prime factors of 3201.\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + -1 - 2\/1. Suppose j*i - 5 = 1. Suppose -25 = 3*o + i*o. Let p(c) = c**2 + 4*c - 5. What is p(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24295100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 - 202 - 743 - 387 + 29 - 2*g.\nAnswer: -2*g - 1375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2 - 643*o - 527868 = 0. What is o?\nAnswer: -473, 1116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 329775 divided by -4\nAnswer: -329775\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-37)\/3 - (-11)\/33. Let r be (-30)\/(-12)*o\/(-5). Is (-2)\/(r\/(-285)) + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 10:27 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*15051.\nAnswer: -225765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -11 (c) -1\/5 (d) 0.088 (e) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - 3*a + 9. Let f be i(7). Suppose 0 = -3*k - f + 522. Let m = k - 77. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29104.989 - -29000. Let h = t - -1.889. What is h rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - f + 4*f + f = -23, -131*f - 36 = 29*i - 130*f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + x**2 - x + 33. Let t be n(0). What is the highest common factor of t and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 2658071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 2358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l + 0 + 2 + 29*l + 43*l. Is h(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 9*r**2 + 8*r + 17. Let p be x(8). Let v be (p - 21) + 1049\/257. Let c = 14755\/13878 - v. Calculate the common denominator of c and 103\/22.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -1 - (-106 - (15 - 113)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 355 - 353. Let j(q) = 16*q**t - q**2 - 5*q**2 + 4 - 2. Let v(i) = 30*i**2 + 7. Calculate -7*j(h) + 2*v(h).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -176, -330, -484, -638, -792, -946?\n\"Answer: -154*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2902 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 10484.\nAnswer: 5\/10484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 270202582 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -10. Let t = j + -3. Solve -2*w - f + t = 0, 0*w = w + f - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -24*k**3 + 14*k**2 - 4*k - 334. What are the prime factors of m(-12)?\nAnswer: 2, 21601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p - 1. Let z(g) = -11*g**2. Determine a(z(s)).\nAnswer: 66*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**4 + 5*a**3 - 5*a**2 - 16. Let c(t) = -2*t**4 - 7*t**3 + 7*t**2 + 24. Let f(x) = 5*c(x) + 7*k(x). What is the first derivative of f(y) wrt y?\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 2\/(3 - 1). Let f be (-5)\/(75\/6) + 938\/70 + -13. Put f, 18, 2, k in increasing order.\nAnswer: f, 2, k, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -10*x - 4. Let r be n(-2). Do 1 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3185?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 76012 = -p. Suppose 0 = -k - 3*i - p, 3*i = 5*k + 7*i + 95004. What is k rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) - (4*(sqrt(17) + -3*sqrt(17)))**2)*-3.\nAnswer: -3*sqrt(17) + 3264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -63973 take away -4?\nAnswer: -63969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*g - 15*g + 0 + 23*g - 3.\nAnswer: 82*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/5, -7, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 294457125 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one fifths of a millisecond?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-1 + -3)\/(6\/3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4320432 (base 7) to base 9\nAnswer: 881526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*p - 1)*(5 + p - 5) - 2*p**2 + 0 + 0 - 3*p**2 + 2*p**2 + 3*p**2 + (-p**2 + 3*p**2 - 4*p**2)*(-1 + 6 + 1).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + 30\/6 + -4. Suppose 0 = -r*q - 2*w + 331, -8*w = -2*q - 9*w + 133. Calculate the greatest common factor of 39 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 c, and 1 m when three letters picked without replacement from {h: 10, s: 7, c: 1, m: 1}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -16, 150 in descending order.\nAnswer: 150, 4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -106 + 1.7\nAnswer: -104.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*s + 1923 = 4141 + 1896 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-11)*j\/j**(3\/4) assuming j is positive.\nAnswer: j**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, w: 4, v: 2, s: 1, y: 3, o: 1}. What is prob of picking 1 s, 1 n, and 2 y?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + q + 473991 = 106831, -3*q - 146877 = 2*a. Let u be a\/(-7) - (-5)\/(-35). Let b = 20490 - u. What is b rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from yxulyyxyy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*k + 4, -43*k + 41*k = 5*y - 1. Solve -k*t = -6, 47*o + 20 = 51*o + 4*t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**3 - 2*i**2 - 4*i + 10. Calculate h(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 9*i + 9. Let z be n(-9). Let d(g) = -g**2 + 7*g + 1. Let r be d(z). Let q = -12 - r. Solve 0 = -q*c - 0*c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**5\/4 + 20895*y**4\/2 + 1264500*y**3 = 0.\nAnswer: -120, 0, 14050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 267 + -269. Let g be -7 - (-3 + y) - 3\/(-4). Is g <= -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 12 + -31 - (1 + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 609 divided by -2\nAnswer: -609\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10306234?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**2 + 7*c - 19. Give h(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/8745 and -13\/12720.\nAnswer: 139920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1227 + 2448 - 1221 + 12*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - i**2 + i - 2. Suppose 2*h + 9 = 11. Let q(j) = 35*j**2 + 3*j - 2. Calculate the remainder when q(h) is divided by z(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1532*r**4 - 7979*r**3 + 249264749*r**2.\nAnswer: -36768*r - 47874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/7 - 18*d**4\/7 - 78*d**3\/7 + 842*d**2\/7 - 180*d = 0. Calculate d.\nAnswer: -7, 0, 2, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 8*s)*(20*s**3 - 2*s**3 - 6*s**3).\nAnswer: 96*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(112) + sqrt(252) + -1 + (1*((sqrt(140)\/sqrt(4))\/sqrt(5) - sqrt(7))*4)**2.\nAnswer: -1 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1619419, 1619419, 1619431, 1619461, 1619515, 1619599, 1619719?\n\"Answer: p**3 - 7*p + 1619425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365 = 23*p - g, 0 = -p - 37668*g + 37669*g + 13 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -22*x + 26*x + 10262, -3*x - 20519 = -4*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 0*a**2 - 2*a**2 + (-2*a**2 + 4 - 4)*(9 - 1 - 3))*(0 + 0 - 6)*(3*a - a - a).\nAnswer: 66*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.36871768 to four decimal places.\nAnswer: -3.3687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15 - 2.15. What is the nearest to -1 in -12, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -30*n - 6. Let k be v(-4). Let o be (1 - (-1 + 6))*(0 + -1). Suppose -o*u + u = -k. What is the remainder when u is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t + 24000. Suppose 5*w = -4*g - 4, -8*w + 10*w - 20 = 2*g. Let a be t\/(-6)*4*g. Round a to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -6*s + 0 + 1\/3*s**3 + 0*s**5 + 0*s**2 - 1\/6*s**7 + 0*s**4 + 0*s**6. Find the second derivative of x(o) wrt o.\nAnswer: -140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 3 - 5)*(2 - 4 + 4) + 3 + 2 - 3)*(-5*n - 21*n + 12*n)*(2 - 2*n - 2) to the form d + t*n + q*n**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 9*u - 28)*(5*u + u + u + 2)*(0*u - 3*u + 4*u).\nAnswer: 63*u**3 + 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10.473727 and -0.006811.\nAnswer: -10.480538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 1)*(0*y - y - 9*y).\nAnswer: -50*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -408, -749, -1370, -2313, -3620?\n\"Answer: -7*u**3 - 98*u**2 + 2*u - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtwd when four letters picked without replacement from twwdj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -46*b + 1. Let k be p(1). Let f be (-2 - (-3)\/(-3))*k. Suppose 0 = -2*l - l + f. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8470615 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.1 - 10. Let s = -25.6 - -28.6. What is the nearest to k in s, 2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3370, -13483, -30358, -54013, -84466, -121735?\n\"Answer: -3*i**3 - 3363*i**2 - 3*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584)*-2 - 4*2*sqrt(11).\nAnswer: -32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 247996 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((((((b*b\/b**(-1))\/b)\/b)\/b)\/b)\/b)\/b)*b*b*b)**(2\/21)*b\/(b**(4\/9)\/b)*b**(-1)\/b)\/((b\/(b\/b**(-2\/5)))**21\/(b**(-4)*b**3)) assuming b is positive.\nAnswer: b**(343\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 41.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.11 + 5.11. Let z be ((-2)\/8)\/(1\/2). Let s = -4 - 0. Which is the closest to z? (a) 2\/9 (b) l (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 15.0000304. Round l to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*q + q. Let k = -5 + q. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p. Suppose 1 = f + 3*b - 2*b, 4*b = 2*f + 4. Let m be q(f). Suppose m = 4*x + 5*l - 38, -5*x + 3*l = -l - 68. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011 + 10101010011111?\nAnswer: 10101100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 2*h + h**2 - 1 + 6*h**2 + 1 + (-2*h + h + 4*h)*(0*h - h + 0*h) + 47*h**2 - 1076*h + 1076*h.\nAnswer: 51*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11976.24g in milligrams?\nAnswer: 11976240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60114 - -202615. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (13 + -8 + (3 - -8 - 26))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.81 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.5602 - -5.514262. Let d = 58.046 + -58. Let u = d + j. Round u to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 2, -14, -9, -988, 7 in decreasing order.\nAnswer: 7, 4, 3, 2, -9, -14, -988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10 = -6*u. Let y be (20\/8)\/(u\/4). Solve -11 + 1 = y*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124182 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 261\/145*(-10)\/3. Let c(r) = r**3 + 5*r**2 - 8*r - 14. What is c(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21089415?\nAnswer: 3, 5, 151, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, -1, -0.077, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + t = 75 + 55, -i = 5*t - 34. Solve -4 = 40*z - i*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*y + 17 + 15, 5*y + 25 = -5*i. Which is bigger: i or -9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/6 - f**4 + 13*f**3\/6 - 2*f**2 + 2*f\/3.\nAnswer: f*(f - 2)**2*(f - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-5) - 71\/5. Let r be i\/8 - 3\/12. Suppose a - 4*a + 3 = 0. Sort a, 4, r in increasing order.\nAnswer: r, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0.6. Let h = -0.3 - g. Let k = 3.6 - -0.4. Which is the second biggest value? (a) h (b) k (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6))\/sqrt(2) - (sqrt(3) + -2*(3*sqrt(3))**2) - (5 + sqrt(108)*-1).\nAnswer: 7*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d*d**(-8\/3)\/d)))\/(d*(d\/d**(3\/22))\/d))\/(d\/d**(-7)*d*d*(d\/(((d**(2\/15)\/d)\/d)\/d*d))\/d*d) assuming d is positive.\nAnswer: d**(-5741\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.019039289 times -5\nAnswer: -0.095196445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjddvlldniv. Give prob of sequence jj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 3. Let g(w) = 5 + w - 10 + t. Let b be g(11). What is the greatest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*3\/(-36))\/((-126)\/112).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*k = -8, 0 = g - 3*g + 5*k - 17. Suppose -5*p - 10 = -5*h, -g*p + h + 1 = -0*h. Solve 4*i + 4*l = 24, 5*l - 5 = 3*i + p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*n**2 + 401667 - 401667.\nAnswer: -123*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, h: 3, l: 1, x: 2}. Give prob of sequence lxh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 2*r**3 - 569. Let p(y) = -4*y. Determine p(t(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1235 is divided by 612.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*v + 3, 4*v - b + 2 = 2*b. Suppose 2*p - 3*p + 1 = 0. Let m be v\/((-1)\/901) + p. What is m rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 44 and -2\/119 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -259, -521, -773, -1009, -1223?\n\"Answer: r**3 - r**2 - 266*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6234695.\nAnswer: 5, 373, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -3. Suppose -4*t + 0*t + 2*m = -16, 5*t + 3*m + 2 = 0. What is the second smallest value in 2\/23, t, z?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-10)\/(i**(-18)*i)*(i*i**7)\/i*i*i**(-4) assuming i is positive.\nAnswer: i**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 617, 1381, 2451, 3827, 5509?\nAnswer: 7497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5 = -4*u - u, 0 = -3*u + 2*j + 3. Let r(v) = -2*v - 1. Let b be r(u). Let g be 1 + b + 4\/2. Is g less than or equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 2412642?\nAnswer: 2412637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 97964.92 litres?\nAnswer: 97964920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) - (sqrt(133) + sqrt(133)*1)*1)) + sqrt(133) - 3*sqrt(133)*-1)\/(((2*sqrt(280))\/sqrt(8))\/((1*sqrt(25))\/sqrt(5))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 5*i**2 + 8*i - 1. What is the units digit of p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*a + g = -0*a - 11, 0*a = -4*a + 3*g + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6426 or 30094?\nAnswer: 30094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -25497.45008 to the nearest 100.\nAnswer: -25500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -198*v + 105 + 489. Let x(n) be the second derivative of 0*n**2 + 2*n + 0 + 5\/3*n**v. Let d(r) = 4*r**2. What is d(x(z))?\nAnswer: 400*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, x: 1, y: 2, r: 1}. Give prob of picking 1 p and 1 y.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/3)\/((-2)\/24). Let p = b - 22. Let y(j) = j**2 + 3*j - 3. Let n be y(-5). Are p and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-112)*(-126)\/396?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2. Let r(b) = -1155*b**2 + 3928*b - 3928*b. Calculate y(r(o)).\nAnswer: 2668050*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 0 - (-695)\/5. Suppose 3*n - 931 + x = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/1*(-504)\/288.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1135*w**4 - 75?\nAnswer: 4540*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 34*j**2 + 178*j - 90. Determine a(38).\nAnswer: 898","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 577105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33.51 - 33.61. Which is the nearest to 0.1? (a) -61 (b) -2\/15 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 83. Let x = c - 38. Suppose 0 = f - 5*q - 5, 5*q - 45 = -3*f - f. Solve -2*i - 25 = x*g, 2*i - 5*g = -g + f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -203\/660 - 6\/55. Find the common denominator of p and 87\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1024.66 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -333227655.2242.\nAnswer: 333227656.2242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2 + (-28)\/(-12)). Let o be (-2)\/s - 4\/18. Which is smaller: 2\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11003882.\nAnswer: 2, 5501941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0084256 to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740*i - 9113 = -2453 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - l**3 - 1 - 3*l**3 + 3*l**3 - 6*l. Let v(q) = 2*q**3 - 4*q**2 - 4*q + 14. Let f be v(2). Let m(j) = j. Give f*m(x) + t(x).\nAnswer: -x**3 - 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**2\/2 - 2157*t - 1295145\/2 = 0.\nAnswer: -255, 1693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 89783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/((45\/(-20))\/9). What is the greatest common divisor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*h + 9. Let p = h - -3. Suppose 8 = -l + 2*y, -5*l - 2*y + p*y = -20. Let u(x) = x**2 - 3*x + 1. What is u(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + t - 10 = 0, 2*t - 16 = -5*d + d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/9 - (-20)\/9)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 2*d + 5. Suppose -21 - 3 = -2*w. Let x = 16 - w. Let u(o) = 4*o + 2*o - x + 2*o**2 - o - 3*o. Give 2*i(h) + 3*u(h).\nAnswer: 2*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - 0.1.\nAnswer: -53.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000224115524 to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -3004?\nAnswer: -3004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(9) + sqrt(144)) + 2*-2*sqrt(5) + (4 + sqrt(5) + -1 + -3)**2)*5.\nAnswer: -19*sqrt(5) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*b + 10 = 0, 5*w = -3*b + 39 - 14. Sort w, 0, -5, -4.\nAnswer: -5, -4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 6*b + 7. Let s be w(-4). Is 1\/(s + (-1052)\/(-9462)*9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500237.4l in millilitres?\nAnswer: 500237400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -9*u**5\/5 - 6*u + 13. Differentiate f(z) with respect to z.\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(704) - (sqrt(704) - (5 + 0 + sqrt(704)))) + sqrt(704))**2 - (sqrt(11) + (sqrt(11) - (-1*sqrt(110))\/sqrt(10)) - sqrt(44)\/sqrt(4)*-6)**2) + 1.\nAnswer: 160*sqrt(11) + 1951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 413672 and 310254?\nAnswer: 1241016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 11:49 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 - 2*j**2 - 2*j. Let l = -59 + 73. Suppose 3*h = 10*h - l. Let g be r(h). Solve -g*m = -0 - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**5\/20 - 7*t**4\/4 + 20*t**3 - 50*t**2 + 327*t. Factor u(j).\nAnswer: (j - 10)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-21) + ((-6)\/(-7))\/2. Is a > 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from mmmymmmmmy?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.2. Let y = x - 0. Let w = 3.2 + -3.6. Put -1, y, w in decreasing order.\nAnswer: y, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.097353 * -11.\nAnswer: 199.070883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1087 or 12646?\nAnswer: 12646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + 4 - (-5 - -9 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - -1 - 9*11. Let f = -48 - c. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.3694567 - -1.63.\nAnswer: -5.7394567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 - 12.94. Let j = p - -12.8. Which is the nearest to j? (a) 0.5 (b) -5\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000568 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16129210 rounded to the nearest ten thousand?\nAnswer: 16130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 330216 (base 9) in base 10?\nAnswer: 197007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3650 - 3650.5. Let l be 5\/(30\/4)*-18. Which is the second biggest value? (a) l (b) t (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 1, h: 1, r: 1, f: 4}. Give prob of picking 1 f and 1 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/24 and 9\/311.\nAnswer: 7464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(2\/(-3) - 0). Let x be ((-1)\/3)\/(8\/(-168)). Suppose 0 = -4*w + 12, -24 = -5*h + w - x. Solve -l*q - 10 = 4*m, 0 = -7*m + 4*m - 4*q - h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 22*r = 37, 27*l - 30 = 23*l - r for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0095 times -2293.552?\nAnswer: 21.788744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4684*k**2 + 8186*k + 25. Let c(i) = -4691*i**2 + 8186*i + 20. Let f(z) = -5*c(z) + 4*s(z). Find the second derivative of f(p) wrt p.\nAnswer: 9438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen quarters of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616*c - 304*c - 11700 = 297*c. Calculate the greatest common factor of c and 988.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1653*i - 1657*i + 4*v - 16, -11 - 25 = 9*i + 2*v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -552 - -4982\/9. Let u = -889 - -3539\/4. Find the common denominator of u and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s. Let t be o(0). Suppose -4*n + n + 15 = t, -4*h + 10 = -2*n. Suppose -4*r - 2*c + 60 = 0, 16 = h*r + 5*c - 69. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/10)\/(4\/(-10)). Suppose 25 = -7*r + c*r. Let m(b) = -5*b + 2. Let s be m(r). Calculate the highest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-220*d**2 + 8230*d**2 + 1 + 469*d**2)*(-4*d + 4*d - 2*d**2).\nAnswer: -16958*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.765 * -2.\nAnswer: 1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 40 = 2. Let w = y + -20. Let q be 9\/(-18) - (10\/4 + -1). Sort -4, q, w in descending order.\nAnswer: w, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 13*h**3\/6 - 6*h**2 - 3*h. Is x(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 11*x - 48. Suppose 3*r + 5*u - 7*u - 15 = 0, -x*r = -4*u - 20. Suppose 0 = 2*q + 3*q - 25. Solve -5*g = -3*t + 37, q*t + 3*g - r = -0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -19, -37, -63, -97, -139?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*y**4 + 4*y + 72 - 72 wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 18 = -0*i - 9*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.07 - 0.07. Let x = -3 + c. Put 0.3, x, -2 in increasing order.\nAnswer: -2, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1172791 + 1172795. Factor -9\/2*b**2 + 15\/4*b**3 + 6 - 3\/4*b**h - 3*b.\nAnswer: -3*(b - 2)**3*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.048 - -0.438. Let p = -8.89 + z. Let h = 9 + p. Which is the closest to -2\/3? (a) h (b) -1\/2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1541639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15253 + 38328*y - 38335*y - 5081 - 5087 - 5085.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11\/4 (b) 21 (c) 204 (d) -0.4 (e) 3 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 428731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/3)\/(11\/99). Suppose 0 = 3*m - 6, 7*m = s*o + 11*m - 3179. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 7 = 5*s, 2*s = s - 5*q - 23 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -590 - -850. List the prime factors of d.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 1. Let n(r) = r - 5. Let q(k) = -k + 1. Let d be q(-4). Let b be n(d). Calculate h(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -150 - -210. Let l = 142 - 62. Calculate the highest common divisor of t and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 = d + 4*d, -2*q - 5*d + 9 = 0. Let r(o) = 120*o - 2*o**q - 5 + 3*o**2 - 120*o. Let m(n) = 2*n**2 - 6. Calculate -5*m(y) + 6*r(y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*n, p - 2*n - 10 = -0*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 271 = 5*p - 2*p, 4*y = -2*p + 1056. What is the highest common divisor of 53 and y?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 19 = -16. Let d(r) = 2*r**2 + 4*r - 15. List the prime factors of d(g).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 7*n - 5. Let i be d(-6). Let w = 82.4 + -82. Which is the biggest value? (a) 4 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13 - -7)\/(-6))\/(-5)*-20. Solve n - 5*n + 16 = 3*r, g = n - 4*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5893*p - 5892*p + 13 = -2*u, 3*p = -3*u - 27 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 707*n + 209*n + 151*n + 109*n + 680*n.\nAnswer: 1856*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 58230, 58223, 58180, 58083, 57914, 57655, 57288?\n\"Answer: -3*q**3 + 14*q + 58219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-54)\/16)*1\/(-2)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 42035 = -2*m, 266*m = -u + 270*m + 13995. What are the prime factors of u?\nAnswer: 5, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -545 and 7.06551?\nAnswer: -3850.70295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5550, -12771, -19992, -27213?\nAnswer: -34434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 20 = -4*g, o - 5*g = 70. What is the first derivative of 22 - 33*w - 40*w + o*w - 45*w wrt w?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215072136?\nAnswer: 2, 151884017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 - (-2)\/5*5. Sort -1, 8, 19, y.\nAnswer: y, -1, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41919*o - 112758*o - 4922*o.\nAnswer: -159599*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15412618393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + 4 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 270 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7858130?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 - 793*k**3 + k**4 - 2*k + 2356*k**3 - 788*k**3 - 6 + 4 - 787*k**3 to the form n*k**4 + t + o*k + l*k**3 + h*k**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, -26, -47, -68, -83?\n\"Answer: d**3 - 9*d**2 + 5*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from oojbbbbbbbbyb?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -198*h - 11686. Let w be s(-59). Let y(v) = 7*v**2 + 13*v + 12. Determine y(w).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 16 = o. What is the greatest common factor of o and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from pzzp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 113279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 3289.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 bigger than 777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -43. Let i be -5 - (-7 - (-2124)\/45). Are i and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 976913295 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14616 * -1.3\nAnswer: -19000.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284853 = 3*u - 1260147. Round u to the nearest ten thousand.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 1. Let b(i) = -18*i + 58. Let r(y) = -4*y + 11. Let k(n) = -3*b(n) + 14*r(n). Give k(x) + v(x).\nAnswer: -2*x - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, -5, -9 in increasing order.\nAnswer: -9, -5, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.01 + 5. Let k = -0.49 + u. Let i = -5208 - -26042\/5. Which is the smallest value? (a) i (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hihshihesiiihhhihhhi. Give prob of sequence ihhe.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/6)*o**0)\/(o*o*o*o**(-2)*o*o**(-1)*o*o)*(o**(-1))**(-2\/13)\/(o\/o**(-1))**(2\/131) assuming o is positive.\nAnswer: o**(-31097\/10218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12a + -8?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -17*n + 27 - 155 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -2\/13 (c) 197 (d) -18 (e) -1 (f) -5\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**6\/90 + j**5\/20 + 2*j**4\/3 - 6*j. Let y(t) be the third derivative of p(t). Find the first derivative of y(n) wrt n.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.913 + 0.087. Let j = -11 - -5. Let q = 8 + j. Which is the closest to q? (a) -1\/3 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7538 = 5*v + 17812, 10143 = 2*q - 3*v. Suppose 7*x - q = 1877. Suppose 6*o = 2*o + x. Does 35 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 36?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -2*n + 42, 2*n - 19*o = -20*o - 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 - 2. Let b(n) = n**2 - 1. Let l(a) = 2*b(a) - k(a). Let w = -52 - -68. Let o(t) = 9*t - w*t - 2 + 2. Give l(o(z)).\nAnswer: -49*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o**2 - 15*o + 9. Let t(d) = -5 + 13 + 5*d**2 - 179735*d + 179720*d. Calculate -7*t(k) + 6*u(k).\nAnswer: k**2 + 15*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 s, and 1 d when four letters picked without replacement from gsdoodoog.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236764.\nAnswer: 2, 11, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**6 - 10*q**5 + 838*q**2.\nAnswer: 120*q**3 - 600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -2.4715?\nAnswer: -1.5285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-41)*j**(3\/2)*j assuming j is positive.\nAnswer: j**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13655845 or 0?\nAnswer: 13655845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2113587496 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*sqrt(891) + -1 + ((sqrt(704) - (sqrt(704) + sqrt(704)*-2 + sqrt(704) + sqrt(704))) + -3)*3)**2.\nAnswer: -396*sqrt(11) + 3685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 152, 304, 456?\n\"Answer: 152*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785 a factor of 39753090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87355, 87467, 87653, 87913, 88247?\nAnswer: 88655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 2 - 18\/(-6). Which is smaller: 8\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzewzwwkz. Give prob of sequence wk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 2:16 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 52\/(9\/24 + 5\/(-24)). What is the greatest common divisor of v and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4*d - 52 = 2*g + 3*d, -208 = -5*g - 4*d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*l = -397*l - 112 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 136\/5 - 27. Let p = -5.94 - -6. Let o = 0.24 + p. Sort o, a, -1\/11 in decreasing order.\nAnswer: o, a, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 2.5. Let x = p - -3. Let c = 0.4 - x. What is the third smallest value in c, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 + 122. Is (-753 + (-8)\/s)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1822*b + 1822*b - 4*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/3)\/(-1)*3. Suppose 1 + 3 = l*s. Are s and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -350, -294, 24 in decreasing order.\nAnswer: 24, -294, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-1 - 3) + (-2 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*o - 1. Solve -2*g + 14 = o*g + f, -5*g + 3*f = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -5. Is (3884\/(-2))\/(2*h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 - 19*c + 13*c - 8 + 6*c.\nAnswer: -3*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 115119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*l**6 + 2*l**3 - 175*l**2 wrt l?\nAnswer: 1800*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j. Let w(r) = 4*r - 6. Let y(i) = 1. Let v(t) = -w(t) - 6*y(t). Calculate v(q(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-4)\/14) + (91 - 87)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -89. Let d = 23 - g. Which is smaller: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**2 - 895734*k - 1791476 = 0.\nAnswer: -2, 447869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 7*o - 4. Suppose 6*l + 30 = l. Let q be t(l). Let a be (q\/(-4))\/((-3)\/18). Solve 11 + 4 = a*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -134 - -130. Let m = w - -8. Which is the closest to 3? (a) m (b) -0.13 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*m**3 + 20*m**3 + m + 1 + m**2 + 7*m**3 + 2*m**3 - 3 in the form o*m**2 + v*m + z + d*m**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -1083*n**5 + 1195404*n**4 - 202888776*n**3 + 9401474688*n**2 + 1986007632*n + 104645184 = 0. Calculate n.\nAnswer: -2\/19, 98, 908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -239081, -239067, -239053, -239033, -239001, -238951, -238877, -238773?\n\"Answer: w**3 - 6*w**2 + 25*w - 239101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -898 - -949. Solve -u*l = -52*l + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65614965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140500 + w**3 - 140500.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/3 + 4*z**2\/3 + 182*z\/3 + 176\/3.\nAnswer: -2*(z - 11)*(z + 1)*(z + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 1)*(0 - 1). Suppose v = -0*d - d. Let q = 3 - 5. Which is the second biggest value? (a) -1\/5 (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 - 525 - 529 + 1054.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q - 3. What is the first derivative of 5*l**2 + 1 - q + 4 wrt l?\nAnswer: 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 12 = l, r + 12*l + 24 = 17*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 188*r**2 + 2039*r + 11688. Calculate x(-198).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2. Let q(n) = -4*n**2 + 3*n + 213. Give q(k(y)).\nAnswer: -16*y**4 + 6*y**2 + 213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/((v*v*v**(-5))\/v)*v)\/v*v)\/(v**(-6\/11)*v))**41*((v**2\/v)\/(v*v**(-1\/4)))**12 assuming v is positive.\nAnswer: v**(3436\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 + (-9 - 64) + 21 + 9 + 9\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -189*d**2 + 252*d**2 - 2*d - 1 + 621*d**2. Is z(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**5\/150 + 7*g**4\/15 + 40*g**3\/9 - 192*g**2\/5 + 3291*g. Factor k(j).\nAnswer: 2*(j - 2)*(j + 8)*(j + 36)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -214 - -1500\/7. Let r = -60 - -63. What is the biggest value in -3, 2, i, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*s**2 - 4*s**4 - 22*s**2 + 3*s**4 + s**4 + 0*s**4 + (3 - 3 - 1)*(2 + s**4 - 2) - 3*s**4 + s**4 + 0*s**4.\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 350849 and 2425?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**7\/1260 + o**4\/12 + 3*o**2. Let g(d) be the second derivative of h(d). Let i(m) = 4*m. Give i(g(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -216, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/20*(-8)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330720693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4839627 nanometers in meters?\nAnswer: 0.0000000004839627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223590 is divided by 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1092415\/7 or 156059?\nAnswer: 156059","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 + 73*c**2 + 207*c**2 - 37*c**2.\nAnswer: 4*c**3 + 243*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-3 - -5)*-2. Find the second derivative of 11*n - 236*n**4 - 5*n + 25*n + 292*n**u wrt n.\nAnswer: 672*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/2)\/((-8)\/36*9\/5). Let x(a) = -2*a**3 + 7*a**2 - a + 7. What is x(g)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -1 - 11\/(-11). Let s(n) be the first derivative of -1\/6*n**2 - 1\/9*n**3 + p + 0*n. Determine b, given that s(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41551.17l in millilitres?\nAnswer: 41551170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5885 - -1640?\nAnswer: 7525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuyyymm. Give prob of picking 2 y.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/80)\/(3\/450*-1*4)\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 15559298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*c**3 + 493*a*c**2 - 6*a*c - 21*a + 3*c + 52503 with respect to c.\nAnswer: -3*a*c**2 + 986*a*c - 6*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2490 = -4*a - 69*o + 71*o, 0 = -4*a + 3*o + 2497. Which is bigger: a or 616?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(84\/(-16)) + (-4557)\/9. Let h = b - -521. Solve h = -4*p, -3*d - d + 2*p + 24 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b - 3*b - 8*b + (1 + 3*b - 1)*(-1 + 5 - 2) - 4*b - b - 3*b.\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044315427.\nAnswer: 10079, 103613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (16 + -3 - 3) + -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 1.886558?\nAnswer: -1.486558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 2) + 5 + 2. Let n(y) = 11*y + 3*y**3 - 3*y**3 + 2*y**3 + 10*y**2 + l - y**3. Suppose -15 = 3*c + 12. Calculate n(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 - 2*x**2 + 25*x**3 - 3*x**4 - 31*x**3.\nAnswer: -2*x**2*(x + 1)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 4)*(1 + 1). Let s(l) be the third derivative of 0*l**4 - 1\/1176*l**8 + 3*l**2 + 0 + 0*l + 0*l**7 + 1\/140*l**b - 1\/105*l**5 + 0*l**3. Factor s(x).\nAnswer: -2*x**2*(x - 1)**2*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 3. Let y be ((-1)\/x)\/((-2)\/(-8)). Let z(p) = p**3 - 5*p**2 + 5*p + 3. What is the units digit of z(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a - 2 = -38*a. Suppose -4*z = -a*f - 0*f + 12910, -3*z = -3. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 1 + 1)\/(-2). Let t = -121.31 + 116.4. Let k = t + 5.91. What is the closest to k in q, 0.5, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.358 - 0.358. Let n = -65 - -10. Let t = 77 + n. Is b >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12225 + 7464. Which is smaller: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 13*j - 1. Let b be i(-16). Let o(g) = -49*g**2 + 97*g**2 - b*g**2. Let c(t) = 10*t**2 + t. Give c(o(v)).\nAnswer: 10*v**4 + v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665 is divided by 240?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1988 and 1843.\nAnswer: 3663884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 197880 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 4*k**2 - 4*k - 2. Let l be d(-3). Let w be 1\/3 + 140\/12. Let s be w\/(-9)*(-18)\/32. Which is the nearest to l? (a) -4 (b) s (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97971337 < 97971337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -172 + 254. Let g = v + -80. Suppose g = 4*d - 30. Solve -3*o - d - 7 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3 = c - 5, 5*u = 4*c - 20. Let a(w) = -2*w**3 - 6*w**2 + 6*w - 10. Let v be a(-6). Calculate the highest common factor of c and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1420 - -1421126?\nAnswer: 1417506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37530 and 348.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 222, 32, -11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159.23 + -0.23. Let r = t - 159.00000527. Round r to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 16 = -3*l, -36*m = -34*m + 3*l + 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c. Let a = 101 + -92. Let n(j) = 3*j**2 + 11*j**2 + 11*j**2 + 9*j - a*j. Calculate o(n(p)).\nAnswer: 75*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 676430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -124*v - 1351*v**2 + 148*v - 25*v as o*v + c*v**2 + f and give c.\nAnswer: -1351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-440)\/13 - 16\/104. Let f = -7 - y. What is the highest common factor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u**2 + 4*u - 39. Let z(y) = 15*y**2 - 7*y + 77. Let h(q) = -7*p(q) - 4*z(q). What is the derivative of h(i) wrt i?\nAnswer: -22*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 94.6841 to one decimal place.\nAnswer: 94.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5604.3 * 29.132.\nAnswer: -163264.4676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 5:13 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 50 = 5*m + 22, 3*n = 2*m + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.87 - -0.33. Let g = 3.2 - b. Suppose 0 = 5*z - 3*u + 5*u, 0 = -4*z - u. What is the nearest to z in g, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 - 6*t**2 + 3*t**2)*(-4*t**2 - t**3 + 4*t**2 + (-4*t + t + 5*t)*(5*t**2 - 2*t**2 - 2*t**2) + 0 + 0 - 9*t**3) - 2*t**5 - t**5 + t**5.\nAnswer: -18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a0634 (base 13) to base 8.\nAnswer: -2405050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1447 + -805. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 7) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1410 = 8*j + 3*s, -4*j + 4*s + 1096 = 0. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101373 is divided by 947?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m - 20. Let x(d) = -3*d + 15. Let w(o) = 2*h(o) + 3*x(o). Calculate w(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 0*o - 2*o - 3112 = 0, 0 = x + 2*o - 773. What is the remainder when (-8)\/14*x\/(-6) is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9846103*m*q**3*x - m*q**3 + 2*m*q**2*x + m*q**2 - m*q*x - 2*q**2*x + 26*q*x + 200*q - 4 wrt q.\nAnswer: 59076618*m*x - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 8*v**2 - 2*v - 16. Give h(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26, -97, -222, -407, -658, -981?\n\"Answer: -j**3 - 21*j**2 - j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 - 83. What is the first derivative of -14*t**2 - t**2 - l*t**2 + 10*t**2 - 32 wrt t?\nAnswer: -28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -31*d**3 + 22*d**3 + 10*d**2 - 17*d**2. Let w(n) = 3*n**3 + 2*n**2. What is -4*b(o) - 14*w(o)?\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3196 * -91.\nAnswer: -290836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4228?\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37077239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 - 19*v + 2 + 20*v + 3*v**2 - v**2 + (-2*v**2 + 2*v**2 - 2*v**2)*(-2*v - 2*v - v).\nAnswer: 8*v**3 + 2*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 5*z + 4. Let n be g(-5). Let a be (4 - n)\/(3 - 2). Suppose -c - 5*y - 2 = a, 3*c - 9 - 7 = -4*y. Solve -3*u + 4 = -c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, h: 1, t: 3, y: 4}. Give prob of picking 2 y and 2 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(38)*-2)\/(sqrt(16)\/(sqrt(8) + sqrt(24)\/sqrt(3) + sqrt(8))))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 465*n**2 + 226*n**2 + 217*n**2 as b*n**2 + i*n + p and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 533888 (base 9) to base 10.\nAnswer: 317843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2) + (-2)\/4. Let l = 10528 + -73295\/7. Let j = l - 57. Do j and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257 (base 14) to base 11.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3102 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131.414321 rounded to 1 dp?\nAnswer: -1131.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 - 2*m + 2. Calculate c(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 - 421*f + 5245. Give o(-220).\nAnswer: 1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1436107 (base 9) to base 7.\nAnswer: 6505255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 11, -5*i + 17 - 27 = -5*q + 35 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110010000010101011101000011 - 101?\nAnswer: 101110010000010101011100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 560 divide 203280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*s*v*y**2 - 100*s*v*y + s*y**2 - 168*s*y + 2*s + v*y**2 - y**2 with respect to v.\nAnswer: -4*s*y**2 - 100*s*y + y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13728080 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 66336912241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5325000 rounded to the nearest one hundred thousand?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*f = 4, -4*w + 14 + 17 = 3*f. Let u be (-3861)\/54 - 14\/4. Let x be (-20)\/120 - u\/18. Solve -x*c + 12 = -c + 4*p, -w*p + 12 = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1) + (29 - (-493)\/(-17)). Is z not equal to 33\/112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**2*n*p*y + 5*h**2*n*y + 2*h**2*p + 2*h**2*y - 17*h*n - h*y + 4*n*p - 3*n*y - 2*p*y wrt h.\nAnswer: -6*n*p*y + 10*n*y + 4*p + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 5 (c) -16 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a century in months?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75503, 302628, 681175, 1211144, 1892535, 2725348?\nAnswer: 3709583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -58?\nAnswer: 7\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 31\/6*o**3 + 11\/30*o**6 + 0*o**2 + 8*o + 0 + 0*o**4 + 0*o**5. Find the second derivative of q(i) wrt i.\nAnswer: 132*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 671595?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -25.6 * -0.4\nAnswer: 10.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -13 + (-4 - 2 - (-1 - 6)) - -44.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b6 (base 16) to base 2.\nAnswer: -10110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 3 - 6)*(15*c**2 - 5*c**2 - 8*c**2 - c**5) + 20*c**5 + 23*c**3 - 23*c**3.\nAnswer: 2*c**5 + 36*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/11 (b) -1\/20 (c) 0.5 (d) -21\/38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 11*w**2 + 14*w - 148. Give l(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + sqrt(288).\nAnswer: 3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9725\/21 - 463. Let i = 43 - 128\/3. What is the nearest to -1 in x, 4, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaheaqahhhaqqhhq. What is prob of picking 2 q and 1 h?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**5\/60 - q**2 + 670*q - 1. Let a = 0 - 0. Let h(d) = 0 + 4*d**2 + a. Calculate y(h(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + (sqrt(156)\/sqrt(3))**2 + -2 + sqrt(156)\/sqrt(3)*1 + (sqrt(104)*-3)\/sqrt(2).\nAnswer: -4*sqrt(13) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1325\/2 (b) -1.8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 887.2006ug to kilograms.\nAnswer: 0.0000008872006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x - 288. Let d = -60 - x. Let u = 14 - d. Calculate the remainder when 19 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -19. Let y be (-4 - -1) + 2 + m. Solve -12 = 4*d - 3*p, -y*d - 12 - 3 = 3*p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 630, 4, 0, -1, -78 in decreasing order.\nAnswer: 630, 4, 0, -1, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22211638 is divided by 2607?\nAnswer: 2605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 9:23 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -464*a**2 - 32*a**4 + 237*a**2 + 1 - 65*a**4 - 150*a + 226*a**2 wrt a?\nAnswer: -1164*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**2. Let c(f) = 292*f**2 - 15. Let j(h) = 120019*h**2 - 6168. Let z(o) = 2056*c(o) - 5*j(o). Calculate b(z(y)).\nAnswer: -264196*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2 - 7*m - 72. Let w = 86 - 89. Let i(f) = 5*f**2 - 8*f - 73. Let g(c) = w*i(c) + 2*t(c). Suppose g(u) = 0. Calculate u.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ed14 (base 16) to base 12.\nAnswer: -92b84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.78 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 3816?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -11.99998691. Round x to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1270812 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(110) + sqrt(110)*3) - -1*(sqrt(110) - sqrt(110)*-3))\/((sqrt(160)*-1 - sqrt(10)) + sqrt(120)\/sqrt(3)) + -4)**2.\nAnswer: -32*sqrt(11)\/3 + 320\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 9*j**2 + 9*j - 6. Calculate the smallest common multiple of l(1) and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/24 - 413\/3. Let b = i - -93. What is b rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11\/2)\/z**(-13))**4 assuming z is positive.\nAnswer: z**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 - 0.0177524?\nAnswer: -129.0177524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - f = 4, -2*f = -4*f + 4. Which is the closest to -3? (a) -8 (b) 0 (c) -5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 1. Let r(b) = 20*b**2 + 2*b - 15. Let v(l) = 141*l**2 + 15*l - 105. Let u(p) = -15*r(p) + 2*v(p). What is 15*g(z) - u(z)?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -472\/717 + -2\/239. What is the nearest to w in -6, 5, 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-4))\/(-2 + 1). Let v(c) = c - 1. Let l be v(1). Put l, -2, p in decreasing order.\nAnswer: p, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-324)\/180 - (-44052)\/15 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -53 + (27 - (32 + -23)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + 71 - (-2*(-64)\/(-5))\/((-9238)\/2235)?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 119 - -7. Let x(b) = -b**3 - 13*b**2 - 22*b + 14. Let c be x(-11). Calculate the greatest common divisor of c and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from drd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -5*g**8\/448 - g**7\/168 + 7*g**6\/48 + g**5\/12 - 5*g**4\/12 + 271*g**2. Solve v(k) = 0 for k.\nAnswer: -2, -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15450 and 315386?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-5 - -6) - (-18 + 7 + 3 - -23)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 27 = 5*h, -3*h - 201 + 177 = 5*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 456 and 498522.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*l + 33 = 8, k + 4*l = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19637928 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 347940*x - 18797508.\nAnswer: 3*(x - 54)*(x + 116034)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**5\/20 - 7*t**4\/12 - 7*t**3\/6 - t**2\/2 - 10*t. What is the lowest common multiple of 11 and s(8)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2848 + -1659. Is 41 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*r - 30*r - 768 - 1220 = 0 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 69. Suppose -3*b - 4 = -2*b, -3*k = 3*b + n. Solve k = -w - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/22 + 303\/(-924) + (-6)\/21. What is the nearest to h in 0.3, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136 and 510?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140.99 - 141. What is the nearest to 2\/9 in -5, -0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/1 + (-6)\/(-105). Let v(l) = l**3 - 7*l**2 + l. Let c be v(7). Let n = c + -6. Is d > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 737504*d + 33994509376.\nAnswer: 4*(d + 92188)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025554 rounded to 4 dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 4*a - 5*a)*(4*a + 2*a - 3*a)*(-712 - 1203 + 3943 + 162) + 0*a**2 + a**2 - 2*a**2 + (0*a - a + 2*a)*(-a - 5 + 5) as v + z*a**2 + u*a and give z.\nAnswer: 6568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1390817, 1391211, 1391605, 1391999?\n\"Answer: 394*g + 1390423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*k - 488*k - 465*k - 483*k + 1783*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.633335 millimeters?\nAnswer: 0.000006633335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2891*-3.\nAnswer: -8673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4193 and 147?\nAnswer: 88053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4e - -893?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -286*m + 286*m - 11*m**2 as o*m**2 + f + h*m and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 48. Let f = -0.1 + -0.2. Which is the closest to -2? (a) 1\/7 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8648415 and 4804675?\nAnswer: 43242075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -264 divided by -12\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:55 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t = 36*t - 3*n + 8, 3*n = -12. Put -24, t, -4 in descending order.\nAnswer: -4, t, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -100 + 5?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 194.1 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + 0 + sqrt(1331) + sqrt(1331)))**2.\nAnswer: 3300*sqrt(11) + 133325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 8*h = 2*p - 12, 0 = 3*h. Suppose 5*o + 6 = -n, -n + p = -o - 0*o. Calculate the greatest common factor of 9 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwdw when four letters picked without replacement from wwwdwwwdww?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 44 = -41. Suppose n = -6*u + 9. Let d(p) = 4*p**2 + p. Calculate d(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*z - 75*z + 1038 = 4738 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 24. Calculate the highest common factor of l and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16845?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/17 (b) 5.1 (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(76)*-2 - (-4*(-3 + sqrt(19)) + 0)**2.\nAnswer: -448 + 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3285311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11853 = 5*b - 3*u, -5*b + 11173 = -4*u - 676. What is the greatest common factor of 105 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149 - 5. Let k = u - 266. Let p = -21 - k. List the prime factors of p.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/659502 and -103\/97200.\nAnswer: 131900400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*((sqrt(208) + 1 + -5 - (3 + -1*sqrt(208)) - (1 + 4 + 1 + sqrt(208))) + 4))**2.\nAnswer: -648*sqrt(13) + 2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82546381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -110 and -773\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 15*t**2 + 8*t + 7. Let v be u(-2). Suppose -v*c + 4751 = 161. What is the smallest common multiple of 70 and c?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127784353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 23*f - 4*w = -218, 0 = -5*f - 3*w + 573. What is the remainder when f is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 1:01 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-14\/3)\/j)**(2\/11))**39 assuming j is positive.\nAnswer: j**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.75, -4, -20, -0.06?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 19. Let h(d) be the second derivative of d**3\/2 + 15*d**2\/2 - 2*d. What is h(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2522 or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12528.7036 rounded to the nearest ten?\nAnswer: 12530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-56)\/98 + (-6)\/14. Suppose 5*k - 9 = -29, 4*k = 2*a - 36. Suppose -2*m = 3*p + 1, -2*p - m + a = -5*m. Sort 3, v, p, 5.\nAnswer: v, p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -542.8871 plus -11?\nAnswer: -553.8871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 8*v**2 - 2*v - 11. What is d(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.052, 18, 0 in descending order.\nAnswer: 18, 5, 0.052, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 5)*(1 - 6*g + 2 + 4*g)*(-3*g + 3*g + 5*g**2).\nAnswer: 40*g**3 - 60*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1388192 and 12408.\nAnswer: 45810336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 0, -3*n = 2*n - 2*d - 5. Let o(x) = 5*x**3 - x**2 + x - 1. Let a be o(n). Solve a*t + 0 = 5*z + 3, -5*t - 9 = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -79172, -79135, -79098, -79061, -79024, -78987?\n\"Answer: 37*g - 79209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**5\/60 + 5*z**4\/24 - 2*z**3\/3 - 69*z**2. Determine a(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9107.418 rounded to the nearest 10?\nAnswer: 9110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -31985.4*0.3\nAnswer: -9595.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -37.82 bigger than 56168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -3 (b) -2 (c) 2 (d) 0.049 (e) -0.03255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.3 (c) -1\/4 (d) 492.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*g + 1433 = 0, -3*f = -11*g + 14*g - 849. Suppose -2*l + 6*l = -16, -3*l = 2*i + 6. Suppose -i*u = 2*u - f. List the prime factors of u.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -76*z - 6. Let u(m) = 2*m + 3. Calculate -g(b) + 3*u(b).\nAnswer: 82*b + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 + (0\/1 - 4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29262 divided by 57?\nAnswer: -9754\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5248784047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 3*f**4\/4 - 8*f + 2. Find the first derivative of r(b) wrt b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1. Let n = 0.41 + -0.31. Let g(f) = -2*f**3 - 7*f**2 - 238*f - 972. Let d be g(-4). What is the nearest to u in n, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(7\/4))**(-1\/46)*(y**(3\/8)\/y)**(3\/16))**(-1\/5) assuming y is positive.\nAnswer: y**(457\/14720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -114*r + 1369. Let f be b(12). Let m = -1669 - -141867\/85. Which is smaller: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60985742 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**10\/s**(1\/2))**(-2\/113) assuming s is positive.\nAnswer: s**(-19\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/7106 and -111\/10.\nAnswer: 35530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i. Let q(n) = 16310*n**2. What is q(y(d))?\nAnswer: 65240*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = o + 8*u - 4*u, 0 = 4*o - u - 20. Suppose 3*n - 160 = -z, -3*n - o*z + 176 = z. Differentiate 33 + 52*f**2 + 11*f**4 - n*f**2 wrt f.\nAnswer: 44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b + 2*b)*(3*b**2 + 3*b**2 - 3*b**2)*(-1432 + 647*b + 1432).\nAnswer: 1941*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*k**2*y - 2*k**2*z + k*y**4*z + 737*k*z + 16*y*z wrt y?\nAnswer: 28*k**2 + 4*k*y**3*z + 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 41, 92.\nAnswer: 4, 41, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69291133*h**4 - 44297057 with respect to h.\nAnswer: 277164532*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 52022 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/5))**(-2\/9)\/(j**(-21)\/j*j*j*j**(1\/22)*j) assuming j is positive.\nAnswer: j**(18721\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 31?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*sqrt(1008)*2*-3 - sqrt(21)\/(sqrt(21)\/(sqrt(7)*2) - sqrt(3))*-4)**2.\nAnswer: 44799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2\/15, -1, -0.5, 270\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*-3)\/(15\/(-20)). Suppose 3*j + m - 39 - 52 = 0, -5*m = 2*j - 65. Suppose v + j = r*v. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 14.1. Let s = 2.1 - 0.1. Let d = s + t. Which is the nearest to d? (a) 5 (b) -3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + l = 12 + 8, -3*l - 44 = -4*j. Let c be j\/(-8) - 2*1*-1. Solve -3*p + c + 11 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2756\/419 and -8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000077729 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3167*q - 589091. Determine f(-186).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 0 + 528\/(-4). Let l = -36 - b. What is the greatest common factor of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000614 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*g + i - 78, 57 = -2*g + 3*i. List the prime factors of (-2998)\/(-6) - 7\/g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 53382770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {g: 3, w: 1, j: 4, t: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3452374 or -3452380?\nAnswer: -3452374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*b - 24, -2*g + 0*b + b = -3. Suppose 3*y - u = 1477, 0*u + 1966 = 4*y - g*u. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2. Suppose -3*t = 2*t - 20. Suppose t = o - 1. Let r(m) = -24*m**2 + 5*m. Let n(g) = 12*g**2 - 2*g. Let y(w) = o*n(w) + 2*r(w). Give y(f(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -127.839 + -0.161. Let c = i - -123.95. Let n = -0.05 - c. Sort -0.3, 3, n in ascending order.\nAnswer: -0.3, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) -158 (c) -12 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 6*h - 14 = 0, -14*h = w - 13*h - 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155122\/36 - -3*2\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(17) + 5*sqrt(17)) + 1 + sqrt(17) + -1)*4.\nAnswer: -116*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 8*y**2 + 10*y + 2. Let u(a) be the first derivative of a**2 - 39*a - 21. Let n be u(17). What is the tens digit of c(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151\/294 - 2\/147. Let a(w) be the second derivative of 0 - 2*w - x*w**3 - 3\/2*w**2. What is the first derivative of a(y) wrt y?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -71941.786, 1\/6?\nAnswer: -71941.786","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*((-7 + 4 - 3)*(2 - 7 + 3) - 4 + 5 - 3 + (3 - 3 + 1)*(-3 + 6 - 1))*(-18*v + 31*v - 41*v)*(-v + v - 2*v**2).\nAnswer: -1344*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 778, 2922, 7214, 14392, 25194, 40358?\nAnswer: 60622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19456? (a) -0.07 (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -33*t**2 + 86*t + 64. Let m(s) = -4*s**2 + 11*s + 8. Let h(b) = 51*m(b) - 6*p(b). Let v be h(8). Solve -4*j - 20 + 16 = v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1019*m = -1898*m - 1108*m + 47688 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 11:23 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2262 is divided by 1019.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.3604 + 0.3604. What is the biggest value in -12, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 54 = 3*n. Calculate the remainder when 33 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1494 + -572. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.6 - 5. What is the nearest to -1 in -4, 1\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -4, 3 in increasing order.\nAnswer: -5, -4, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*(-2)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1307, 2973, 5023, 7463, 10299?\n\"Answer: c**3 + 186*c**2 + 1101*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1540)\/190 - ((-144)\/152)\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -232034?\nAnswer: -232030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a\/(((a\/a**(-1\/10))\/a)\/a)))*a)\/(a**0*a)*a*(a\/(a*a**(-10))*a)\/a*a*(a*a*a**12)\/a*a)**(2\/21))**(-1\/10) assuming a is positive.\nAnswer: a**(-93\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83\/210 - 3\/10. Let u = -0.3 + -0.2. Which is the nearest to -1\/2? (a) u (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 96, 206, 316?\n\"Answer: 110*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -1\/2, 54, -3, -1.1?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-4))\/((-2)\/(-2)*1230\/(-16728))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/25)\/(265\/(-56975))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*w**3 + 3375*w - 3375*w.\nAnswer: -175*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = h - 72, -4*h + 14*m - 17*m + 305 = 0. Is 79 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**5\/20 + 5*n**4\/4 - 13*n**3\/2 + 4*n**2 + 24*n + 6. Give y(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-2 - -13) + 8 + -9 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60857\/30 + 10202\/5. What is the common denominator of 56\/1251 and z?\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -155*q**2 - 2280*q + 85. Let z(p) = 11*p**2 + 163*p - 6. Let s(f) = -6*u(f) - 85*z(f). Solve s(k) = 0.\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3405.2 rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 704 and 576.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-7)\/((-7)\/(-6)). Solve 0 = -q + c, 5*r - 24 = 2*r - 4*q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 4, -2, -5, -12 in decreasing order.\nAnswer: 54, 4, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0, -219 in increasing order.\nAnswer: -219, -15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -595, -4702, -15851, -37564, -73363?\nAnswer: -126770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3236118 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*v + 12*v + 989 + 35 + 6*v + 20*v to the form d*v + y and give y.\nAnswer: 1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/110477 or 1205?\nAnswer: -2\/110477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1301244 and 20819904.\nAnswer: 20819904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) + -2*sqrt(768))*6.\nAnswer: -96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 = 4. Let j be ((-12)\/(-4) + -2)\/n. What is the second derivative of -5*r**3 + 4 - 5 - r + j wrt r?\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c**(-11)\/c))*c)*c**3\/c)**(-25\/2) assuming c is positive.\nAnswer: c**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q*t**3*w**2 - 11722*q*t**3*w - 2*q*t**3 - q*w - 31560*t**3*w**2 + 4*w + 2 wrt w.\nAnswer: 4*q*t**3 - 63120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n + 3*i - 27, -13 = 3*n - 5*i. Solve -2*j + 10 = 4*k, n*k + 6 = 2*j + 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 9:42 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 29 = 35. Let q be 1 + (-1)\/1 + 6 + m. Suppose 2*f = q*f - 32. Calculate the smallest common multiple of f and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100261 is divided by 159.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110370 and 2547?\nAnswer: 331110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16\/17 in 127, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/19, 0.2, -192?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2849.\nAnswer: 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12101102211102 (base 3) to base 14\nAnswer: 547359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -183\/117950 or 1?\nAnswer: -183\/117950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 31, 61, 1.137?\nAnswer: 1.137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 15*u**2 + 0*u + 22 - 15 - 2*u**3. List the prime factors of l(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/5 - 66396*p\/5 - 65445996\/5.\nAnswer: -3*(p + 1034)*(p + 21098)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, 13, 3, -4.\nAnswer: -10, -4, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*j - 71*j - 28. Let u(w) = 2*w**3 - 3*w**2 + 2*w + 2. Let f be u(2). Solve -4*b + f = 2*g, -j*g - 10 = b + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3131 (b) 2 (c) 180\/97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 1, 14.\nAnswer: 1, 14, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d*q**5 - 3*d*q**2 - 119*d*q - 24*q**5 wrt q.\nAnswer: -240*d*q**2 - 1440*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-4)*5\/(-3). Suppose y*p = 2*p - 3. Is -2 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012012202220 - -10?\nAnswer: -2012012202210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z + 26. Let n = -51 + 45. Let a be g(n). Suppose 0 = -4*s - s + 5*v + 70, 0 = -a*s + v + 24. What is the least common multiple of 72 and s?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1048 + 1166. What is the greatest common factor of b and 472?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5198184 and 152789.\nAnswer: 1679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 3:03 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (7 - -3)) + (-9 - 20 - 15)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/16587 + 9510\/(-461235)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, z: 1}. What is prob of sequence gz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a - 27*a + 9*f = -80, a + 5*f = -46. Let t = -2.5 - -3.8. What is the closest to 1 in t, 2, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 2695, -1 in descending order.\nAnswer: 2695, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in -5, -33\/7, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/12)\/(0 + 2\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/6, 5, -6\/5, 0.5 in ascending order.\nAnswer: -3, -6\/5, 1\/6, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + d**2 - d + 4. Let g = 8 + -8. Suppose -j = -g*j. Determine h(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*u - 345*u - 504 = 0 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -645\/155956 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2 + 718*c - 9459. Determine z(13).\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22334 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 5. Suppose -h = 5*q + 25, -4*h - 3*q - 28 = -q. Put r, h, 4 in ascending order.\nAnswer: h, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -448471510 to the nearest 100000.\nAnswer: -448500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-156)\/143 - (-656)\/440. Factor -a*m**2 + 8\/5 - 6\/5*m.\nAnswer: -2*(m - 1)*(m + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 187603?\nAnswer: 562809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 302680 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/(h**8*h))\/h*h)*(h*h\/(h**(-5)\/h))\/h*(h**(-1\/4))**(2\/161))\/((h*h**(-1\/7)*((h\/(h**(-4)*h))\/h)\/h)\/(h**(-2))**(-44)) assuming h is positive.\nAnswer: h**(32567\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -4, 0, 4, 1, -570 in decreasing order.\nAnswer: 5, 4, 1, 0, -4, -5, -570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2365342*k*s**3 - 1142*k*s - 15*s**2 + 11 wrt s.\nAnswer: -14192052*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.6154602 rounded to two dps?\nAnswer: 281.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**4 - 4*z**4 + 11*z**4 - z**2 + z**2 + 3*z**4 + (2*z**2 + z - z)*(3*z**2 - 2*z**2 + z**2) + 4*z**4 - 3*z**4 - 2*z**4 + 2*z**4 - 2*z**4 - z**4.\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-2 + 3) - -1. Let c = -341 + 341.19. Is c less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -86. Let w = -88 - y. Let s = w - -107. Which is smaller: s or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 1 + 2 - 12 - 3*n. Suppose -5*l - 13 - 27 = 0. Let i be r(l). Solve 2*v - 1 + i = -4*d, -4*d + 5*v = -24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1430 by -26.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-9))\/((-2)\/(-414)). Find the common denominator of (15\/(-9))\/((-4)\/(-18)) and (4\/18)\/((-8)\/d).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 12:28 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u - 24*u + 77221. Suppose -12*c + 2465 = -u. Is c a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -11281 and -2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/7 (b) -1 (c) 2\/11 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*q = -u + 55, 2*u + 3*q = 35. Let k = -6 + u. Solve d + k = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -225*h**2 + 17*h - 59. Let q(a) = 111*a**2 - 8*a + 25. Let u(t) = 3*k(t) + 7*q(t). Determine w, given that u(w) = 0.\nAnswer: -2\/17, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -175\/2. Which is the second smallest value? (a) -1\/3 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/2)*z)**(-16\/7)\/(z\/(z\/(z\/(((z\/((z\/z**0)\/z))\/z)\/z))))**(-3\/7) assuming z is positive.\nAnswer: z**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3157\/78094 or 0?\nAnswer: -3157\/78094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*v, -3*v - 2*v + 10 = 0. Factor 4\/7*w**p + 0*w + 2\/7*w**5 + 0*w**2 + 0 + 2\/7*w**3.\nAnswer: 2*w**3*(w + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6389801191 to five dps.\nAnswer: 0.63898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4691*x + 5981. Let g(h) = -9382*h + 11961. Let i(w) = -4*g(w) + 9*q(w). What is the derivative of i(p) wrt p?\nAnswer: -4691","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23\/7 - -3. What is the smallest value in 2\/17, f, 1, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 16 = -k - k, 0 = x - 4. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m. Let x(i) = -442*i - 3. Calculate x(c(b)).\nAnswer: -442*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4*-3*sqrt(121) + sqrt(121) - sqrt(121))*3)\/((sqrt(1584)*1 - sqrt(1584) - (sqrt(11) + sqrt(11) + (sqrt(11) - (2*-2*sqrt(11) - sqrt(11)))))*-2).\nAnswer: 27*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 5) to base 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/24)\/(42\/(-16) - -3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)\/(2\/8). Suppose r*a + 3 = -1, 5*b = a + 306. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 26*g + 168. Let y be x(-15). Suppose -5*k + 20 + 20 = -4*r, -4*k = y*r - 1. Solve -1 + 21 = -k*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -30, -63, -108, -165?\n\"Answer: -6*i**2 - 3*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -34*f + 14. Let b(g) = -11*g + 5. Determine -5*a(s) + 14*b(s).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 18*x**2 + 11*x - 10. Is m(-16) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 416\/24*8610\/3731?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + u = 5*z + 10, 3*u - 3*z = 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v - 4*v - 2*v)*(3 + 23 + 54) to the form i + n*v and give n.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4166 divided by 83?\nAnswer: -4166\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 4) in base 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.022, 1, -1\/4264, -5, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z - 180. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 5. Let v be x(-11). Suppose 3*u + v = 2*i, 2*u + 3*u + 6 = 2*i. Suppose k - 11 + u = 0. Calculate the highest common factor of 33 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**2 - 3*a - 1 + a**3 + 0*a**3 - 2*a**3. Let o be i(4). Suppose -5*q = -o*q. Which is smaller: -1\/3 or q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**6\/40 + b**5\/15 - b**4\/12 + b**3\/3 + 101*b**2 - 1. Let d(x) = 13*x**3 + 17*x**2 - 8*x + 9. Give 2*d(c) - 9*o(c).\nAnswer: -c**3 - 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1301\/4260 - 26\/213. Let k(g) be the third derivative of 0 + t*g**5 - 1\/2*g**4 + 5*g**2 + 0*g + 0*g**3. What is the second derivative of k(i) wrt i?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33580 and 36?\nAnswer: 302220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10630460?\nAnswer: 2, 5, 43, 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)*s**(-1\/4))\/(s**(2\/11)*s\/s**0))**(5\/6) assuming s is positive.\nAnswer: s**(-755\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 128?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.222 - -2.778. Put v, -0.03, 1\/2 in descending order.\nAnswer: v, 1\/2, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3012 divided by 3012?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20210 (base 6) to base 14\nAnswer: d8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230282*k**6 + k**2 - 2*k + 34641?\nAnswer: 27633840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -287*p**3*t - p**3 + 106*p**2*t + 214*p - 52*t - 4 wrt p.\nAnswer: -1722*p*t - 6*p + 212*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.3166\nAnswer: -1.583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 105. Let i be g(0). Suppose -2*a + i - 17 = 4*l, 0 = -5*a + 20. Solve l = 4*v - 2*s, 4*v + 0*s + s = 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, h: 4}. Give prob of sequence kh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 2*i + 6. Let x be w(0). Let b be (1\/(-5))\/(x\/(-30)). Let f(h) = -h + 1. What is f(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/56*-17 - (-9)\/(-12). What is the closest to s in -4, -0.1, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 + 6*m + 365. What are the prime factors of t(26)?\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12103123202 + 111?\nAnswer: 12103123313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 16*p = -12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**4\/12 - y**3\/2 - y**2. Let m be u(-3). Suppose m*g = -0*g + 36. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/6 - 0)*6. Suppose -2*u + 4*m = 58, -h*m + 75 = -3*u - 0*m. Is (-288)\/u + 2\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - (-482 - (-8 - -6)). Let a = -567 + h. Which is greater: a or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**2 + 1 - 1 - 3 + 3 + p**2 + (-5*p + 2*p + p)*(-3*p + 2*p + 2*p) + 2*p**2 + 3*p - 3*p + (5 + 2*p - 5)*(p + 4*p - 3*p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -432*k + 8640. Let o be h(20). Which is greater: o or -100\/73?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 262.163677 rounded to 2 decimal places?\nAnswer: 262.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 807\/7 in -5, -6.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26274646 is divided by 234595.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-351)\/(-182) - 2\/(-4)) + -3.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5\/3 - 14*c**4 - 742*c**3\/3 - 594*c**2 + 4196*c\/3 + 1760 = 0. What is c?\nAnswer: -8, -5, -1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.914 and 0.21.\nAnswer: 2.71194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1731 is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.99 + 0.49. What is the smallest value in -0.6, r, 3\/8?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 0.1, -2\/23, 110, 0.5, -15 in decreasing order.\nAnswer: 110, 0.5, 3\/7, 0.1, -2\/23, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/50*-1)\/2.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12717 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: Let c(u) = -u**2 + 8*u - 2. Suppose 69 = 53*x - 196. Give c(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (271 + -254 - 912\/54)*(-63)\/2\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5*(-9)\/(-10)*6\/(-576) and 41\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 7000, -4 in decreasing order.\nAnswer: 7000, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19150422.\nAnswer: 2, 3, 3191737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p = 4. Let w(d) = d + 5*d - 3*d - d + p*d + 20. Let k(o) = -o. Give k(w(n)).\nAnswer: -6*n - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 34*j - 2 - 47*j - 3 - 55*j. Let a be h(-4). Suppose a = -i - 103. What is i rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 5 - 5)*(0*n + n + 0*n)*(-1 + 2 + 0)*(-4*n**2 - 10*n**2 + 20*n**2).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -47c?\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Suppose 4*p = -g*m + 56, -4*m = 11 + 5. Calculate the remainder when 46 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 32010*d - 1853233. What is t(58)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689668?\nAnswer: 2, 7, 24631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5909265 divided by 131317.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a133d + -1?\nAnswer: a133c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -324*y**2 - 2*y**3 + y**4 - 3 + 324*y**2 to o*y**3 + b*y**4 + w*y + v*y**2 + l and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/5152 and 107\/10304.\nAnswer: 10304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9882.3 + -9882. Which is the closest to -0.2? (a) 0 (b) 0.081 (c) x (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (5 - 2 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 200 = -3*l. Let m = 241 - l. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 7*g**2 - g - 3. Suppose -6*l = -2*l + 28. Let t be v(l). Let d(q) = 28*q - 2. Let r be d(t). What is the greatest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 71*l - 11. Let v be f(-53). Let a = v - 801. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 39 + 1 = 0. Let s(v) = 12*v - 16. Let w be s(t). Suppose 5*l = 3*l + w. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 8271.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/12 - 38\/(-8). Suppose 0 + 12 = 3*b + o, 3*o = b + 6. Which is smaller: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, 5, 3, 2, -616 in descending order.\nAnswer: 5, 3, 2, -4, -11, -616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 11*y**2 + 5. Let s be d(-11). Suppose -s*x = -3*x. Suppose -7*q + 12*q - 55 = x. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 154120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66*q**4 - 17689*q**3 - 16156047*q**2.\nAnswer: 1584*q - 106134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3504057 + 1?\nAnswer: 3504060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -134 and -127 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 0.68871216.\nAnswer: 0.48871216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2105403, -2105398, -2105381, -2105346, -2105287, -2105198, -2105073?\n\"Answer: d**3 - 2*d - 2105402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6268339 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214821.\nAnswer: 37, 32833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 1 = 19. Suppose -2*c = 2, s + 2*c - q = 1. What is the second derivative of 0*x**5 - 11*x - 19*x - s*x**5 - x**5 wrt x?\nAnswer: -140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 716.1747 centuries in years?\nAnswer: 71617.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51687 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*u + 2*a - 24, -5*u + 5*a - 20 = 0. Let x(d) be the third derivative of d**6\/20 + d**5\/60 - d**4\/24 + d**3\/6 + d**2. Give x(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.72949\nAnswer: 0.145898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 14 = -3*d. Suppose d*w = -10, -4*n - 3*w - 12 + 94 = 0. Let z = 24 - n. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -248.0508 + 0.0508. Let h = p - -248.08. Which is smaller: 0.8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 674985 and 2482.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**3 - 408*z**2 - 396*z + 808 = 0. What is z?\nAnswer: -101, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1846*d - 67647 - 6193 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 1167512 (base 8) in base 5?\nAnswer: 40322102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -348251 or -348252?\nAnswer: -348252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 - 25?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o - 9*o + 11*o. Let u(j) = -4*j + 2*j + 3*j. Give u(i(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 315511506 or 315511507?\nAnswer: 315511506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -9. Suppose -4*t + 7*t - m = 0. Solve t*q + 4*a + 12 = 0, -1 = 4*q + 3*a + 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9186\/7 + 1296. Let f = q + 549\/35. Put 3, -0.4, f in ascending order.\nAnswer: f, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448.406 tonnes in grams?\nAnswer: 448406000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.92 + 1.52. Is t >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -2*p - 2*y, p + 5*y + 2 = 0. Solve p - 3 = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 1156781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 406 - -29. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a. What is the remainder when 29 is divided by o(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 11:07 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28077827.\nAnswer: 2711, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 484 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -288 + 491. What is the highest common divisor of h and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 21*x - 27. Let f(b) = 11*b - 13. Let d(h) = -13*f(h) + 6*n(h). Let s be d(2). What are the prime factors of (-54)\/(((-1)\/(-6))\/(6\/s))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3640*j**3*w**2 - 95*j**3 + 54*j**2*w - j*w**2 wrt w?\nAnswer: -7280*j**3 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*r - 13*r - 1056. Let j = r - 127. Let c be 4\/30*j*(-27)\/(-30). Put -0.07, c, 0 in decreasing order.\nAnswer: c, 0, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22230.09*-1.2.\nAnswer: -26676.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -50 (b) 0.04 (c) 0 (d) 13352\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 3*j + 16 = 2*a, 50*j - 48*j + 21 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133344 and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1857, 13147, 43791, 103467, 201853?\nAnswer: 348627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**4\/24 + q**3\/2 + 90*q**2. Let a(x) = 3*x - 9. Suppose 2*c = -c - 3. Let i = c + -3. Give i*a(v) - 11*s(v).\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -3*h**7\/70 + h**6\/40 + 31*h**5\/60 + 15*h**2 - 2*h. Find the third derivative of i(d) wrt d.\nAnswer: -216*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 7*o**2 + 2*o + 5. Let f be g(-6). Let v = 41 - f. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 148 = 3*h, -48 = -h + f + 2. Suppose h = -3*m + 7*m. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(4*m**3 - 2*m**3 - m**3) + m**3 + 4 - 4 - 3*m**3 + 5*m**3 + 0*m**3 + (m - m + 2*m**2)*(-1 + 1 - m) + 2*m**3 - 3*m**3 - m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 157255 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 25*g**3 + 4*g**2 + 10*g - 9. Let c be f(4). Suppose -c = -p - 2*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 6:47 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -528*o**3 - 4539*o**2\/2 - 1310*o. Differentiate i(g) with respect to g.\nAnswer: -3168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -23*z - 68. Let g be n(-3). Let u be 2\/2 + -5 + 0. What is the smallest common multiple of ((-2)\/u)\/(g\/6) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.4, -833, 4 in descending order.\nAnswer: 4, -0.3, -0.4, -833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 - 66. Let p = -16 - -1. Let t = p + k. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 9:26 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1230, -420?\nAnswer: 1230","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23667402043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4907?\nAnswer: 7, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 136 = -5*s - 34, -5*s = 4*l - 190. Suppose -8*u - 8806 = -l*u. List the prime factors of u.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 292 + -316.3. What is t rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28184969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -303a83 - -467?\nAnswer: -303617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7061?\nAnswer: 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1577*u**2 + 700*u wrt u.\nAnswer: -3154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 14, c: 4}. What is prob of picking 3 s?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**4\/12 + 3*l**3\/2 - 17*l**2\/2 - 6*l + 35. Let r(a) be the first derivative of g(a). Let b be r(7). Sort 40, b, 0.\nAnswer: b, 0, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**3 - 75*g**2\/2 - 72*g + 77. Factor x(t).\nAnswer: -3*(t + 1)*(t + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -3. Let g = 1 + y. Put 2\/3, g, 4\/7 in ascending order.\nAnswer: 4\/7, 2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 309, 3, -24, 2, -2, -6, 11.\nAnswer: -24, -6, -2, 2, 3, 11, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -23, -21, -19, -17?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*v - 37*v + 1068 + 4*v**2 - 1068.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414816 is divided by 997.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*l - 23*l**4 - 795*l**3 - 19*l**4 - 38*l**4 - 52*l + 798*l**3 in the form y + g*l**4 + z*l + m*l**3 + s*l**2 and give g.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 14*b**2 - 12*b + 2. Let j be f(13). Suppose j = n - 0*n. Calculate the highest common factor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1241 is divided by 239?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(17) + -3 + -2 - (-1 + sqrt(17)*-2 + ((sqrt(153)*2)**2 - sqrt(17) - sqrt(17))).\nAnswer: -616 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8792919 and 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0655 in -5, -1\/44, -1\/6, -0.4?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 16 - 12 = 0. Let w = 67 - u. Suppose 3*d = 3*y + w, y - 2*y + 5 = 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23569*g - 1556727 = -3742*g for g.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4940 divided by 2?\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1352.647737 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*d - 26*d + 63*d)*(-131 - 305 + 24) to g + u*d and give u.\nAnswer: -8240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230549, 230550, 230553, 230558?\nAnswer: 230565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*w**4 - 97*w**3 + 140*w**2 - 465367*w + 9?\nAnswer: 312*w**2 - 582*w + 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -179932*c**5 - 17*c**3 - 10598*c**2 + 25*c + 7 wrt c?\nAnswer: -10795920*c**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2*1\/1813)\/(14\/(-203)*20329\/(-9814))\nAnswer: 2\/259","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - (-33 - (27 + -12))) + (14 - 1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -880*q**2 - 3*q + 950 wrt q?\nAnswer: -1760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u. Suppose 0 = 3*r - 5*x + 64, -3*r - 87 = r - 5*x. Let w = r + 46. Let f(s) = -w - 30 + 27*s + 53. What is i(f(p))?\nAnswer: -54*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 30. Let v = -54 - -54. What is the remainder when a(0) is divided by v\/(-1) - (-77)\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214142 (base 7) in base 3?\nAnswer: -1220101122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 i when three letters picked without replacement from {j: 2, y: 2, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142758638.\nAnswer: 2, 11, 41, 158269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 33*v**5\/10 - v**3\/6 + 4*v**2 - 364*v. What is the second derivative of q(u) wrt u?\nAnswer: 396*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7314 by 2.\nAnswer: 3657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-9)\/c)**(3\/25)\/((c*c\/(c*c*c*c**16\/c))\/c)**(-1\/16))**19 assuming c is positive.\nAnswer: c**(-3439\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -17 - 30*i + 1 + 20. Does 7 divide t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7)\/d*d*d**(1\/6))**12*(d**(-5\/6)\/d)\/(d*d*d**(-3))*(d\/d**(-1\/3))\/((d*d*d\/(d*d**2))\/d) assuming d is positive.\nAnswer: d**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/60 + 11*j**4\/24 + 11*j**3\/6 + 20*j**2. What are the prime factors of z(-17)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82206*g + 4692 = 82137*g for g.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxzmzxzxz. Give prob of sequence xz.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510749 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 926685324 to the power of 1\/2, to the nearest integer?\nAnswer: 30442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6 + 1\/3. Which is bigger: 4\/9 or u?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 42*m**2 - 4*m + 163. What is p(42)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 223948 a multiple of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 * 1.3\nAnswer: 0.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/6827128 and 37\/13654256.\nAnswer: 13654256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 2*g**2 + 0*g + (-2*g + g + 3*g)*(15 - 15 + 6*g)*(-1 - 6 + 3).\nAnswer: -46*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0*-265.5609\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105968897 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 693 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47988943 - -3.\nAnswer: -47988940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112 (base 3) to base 12.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 4*b + 11)*(5 - 2 - 1) + (2 + 3 - 3)*(5*b + 1 - 5*b + 3*b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -233 - -174. Let r = 49.9 - -9.1. Let o = r + g. What is the closest to o in -2, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/7 + 18*q**2\/7 - 81*q\/7 + 108\/7 = 0. What is q?\nAnswer: 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3.02. Let t = -0.1 - b. Let r = t + 0.02. Which is bigger: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -38. Let l = r + -6. Solve v = 4*m + 15, 0 = -4*v + l*v - m - 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(17) + 5)*4.\nAnswer: 20 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601834 is divided by 2529.\nAnswer: 2461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2583 - -2396) + 64 + -1?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22374, 22797, 23222, 23649, 24078?\n\"Answer: a**2 + 420*a + 21953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (7 + 2 + -5 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p - 14. Give q(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6) - (-5)\/3)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2, -34, 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*-1*sqrt(1053).\nAnswer: 4 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-28))\/(120\/(-5868)). Let o = 139\/5 - z. Sort -2, o, 0.78, 3.\nAnswer: -2, o, 0.78, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -23, -33, -43, -53?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2902*w + 17038*w - 2175*w + 15872*w + 6986*w.\nAnswer: 34819*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -s**7\/42 + 7*s**3\/6 + 3*s**2\/2 + 9. Let c(l) be the second derivative of o(l). Find the first derivative of c(t) wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = r - g + 78, 3*g = 5*r - 86. Let j = r - 21. Let a(l) = 91*l**3 + 4*l**2 + 5*l. Let h be a(j). What is h rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -370*k**4 - 489*k**2 - 4. Let r(p) = 369*p**4 + 492*p**2 + 3. Let q(i) = -4*r(i) - 3*s(i). What is the third derivative of q(g) wrt g?\nAnswer: -8784*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -56935.5393 and -2417.2.\nAnswer: -59352.7393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-4)*(2 - 5). Let p be (17 + -16)*(0 - m). Solve -3*r = j + p + 7, -j = -r + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d + 4 + 0 + d + 8. Suppose 3*b - 6*b = 39. Is x(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -0.6. Let t = 265 - 264.5. Which is the biggest value? (a) t (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -172*l + 103*l - 159*l as c*l + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -8. Suppose 7*c - 10 = 11. Solve -c*y - y = -g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4043.\nAnswer: 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k - v = -14, 0 = -v - 2. Let p = -0.2 - 0. Which is the second biggest value? (a) k (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3158372069\/129604464 - -2\/736389. Let m = 10010 + -110431\/11. Let n = m + k. Calculate the common denominator of -13\/10 and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + ((-18)\/(-5))\/(7*(-16)\/280). Let g = -2.9118 + -0.0582. Let p = g - 0.03. Sort 5, j, p.\nAnswer: j, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - n + 1. Let w(o) = 5*o**2 - 3*o + 3. Let v(k) = 17*t(k) - 6*w(k). Let y(b) be the first derivative of v(b). Give y(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 623382 by 1.\nAnswer: 623382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 37*b + 3942. Let m be g(-47). Let s(z) = 4*z**2 - z - 3. Let v(c) = -3*c**2 + 2*c + 2. Let l(y) = -4*s(y) - 5*v(y). Calculate l(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-12 + 5)\/(-1 + 0). Differentiate -47 + 14*y + 35 + f*y - 5*y wrt y.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**4\/3 + r**3\/6 - r**2\/2 + 2*r. Let t be q(1). Suppose 2*j + j = -15. Sort t, 2, j in decreasing order.\nAnswer: t, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 175 (c) 0.3 (d) 1\/7 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -145 at least as big as -897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58929.802 + 59636. Let p = -701 + c. Let t = -0.102 - p. Round t to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 233.9 + -234. Which is the third smallest value? (a) p (b) 3 (c) 0.181\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4235162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 892\/235 + -28\/47. Let n(o) = o**2 + 51*o + 2. Let t be n(-51). Are i and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86657145 * 0.1\nAnswer: -8665714.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*y**3 - 29*y**3 + 185596 + 72*y**3 - 185596 - 27*y**3.\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 11 = -2*a - 12, 13 = -2*a + 5*n. Solve -s = a + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39.6 + -44. Let t = x + 4. Put t, 0.3, 2 in descending order.\nAnswer: 2, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6773319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -354*g - 3474. Let v be q(-10). Solve v*r - 77*r = -66 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22044 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: Round 0.91975 to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*b - 5*o - 0, -o = -5. Let v be ((-8)\/b)\/(18\/27). Suppose v*k - 6 = 8. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1339 and 824.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 615*g - 2. Let l(c) = -324*c - 1. Determine z(l(d)).\nAnswer: -199260*d - 617","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -15*c**2 + 10*c - 24. Let r(a) = -14*a**2 + 8*a - 25. Calculate 5*r(z) - 4*w(z).\nAnswer: -10*z**2 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/90 + (-1 + 4)\/15. Which is the closest to -1? (a) -3 (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/(-8))\/((-187841)\/500848 + 6\/16)?\nAnswer: 2, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 - 303. Let r = 237 + g. Solve 16 + 4 = -r*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13064\/315 + 290\/7. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 7:26 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -46\/265, 0.319, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-72 - (-16 + -23 + 17)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 320210201?\nAnswer: -320210133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -23*c**5\/30 - 11*c**4\/24 + 36*c**2. Find the second derivative of v(b) wrt b.\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 2*k - 1. Let o be r(3). Let l be 4\/12*o*6. Suppose -2*y + 10 = -3*h, -4*y - 2*h + l + 48 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/10 and -113\/96460?\nAnswer: 96460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - 8)\/(-1 + 4 - 0). Which is smaller: i or -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48561000 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14735 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.08, -0.04, -9, -4, 0.09, -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 30*k**5\/7 - 3069*k**4\/7 + 75798*k**3\/7 + 19968*k**2 - 48672*k\/7 = 0.\nAnswer: -2, 0, 3\/10, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -300906 - 79\nAnswer: -300985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 99 and -0.1.\nAnswer: 98.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*4\/(-6) + ((-3444)\/(-315))\/(-41). Let f = -0.3 + 0.1. Sort 2.4, 3\/2, f, p in descending order.\nAnswer: 2.4, 3\/2, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/5310*-59*(-2)\/2.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 + 70*v**2 + 70*v - 85. Determine o(36).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2735, -7, 4 in decreasing order.\nAnswer: 2735, 4, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*g + 12 = 0, n + 2*g = -2*g - 8. Suppose -3*f + 23 = n. Let i be (-2)\/5 + 6002\/f. What is i rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369 and 234.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*p + 308 - 921 - 18*p**2 + 308 + 305 in the form v*p + u*p**2 + b and give v.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -10075734?\nAnswer: -1\/5037867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqqz when four letters picked without replacement from {q: 3, z: 2, b: 2, v: 8}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2.5. Let r = 2.2 + -31. Let v = -29 - r. What is the smallest value in -2\/3, o, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (400\/(-40))\/(25\/(-6)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5856.35 rounded to the nearest ten?\nAnswer: 5860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**2 + 46*c - 93. Give b(14).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 4*n**2. Let j be z(5). Let w be 0 + (j\/(-20) - 1). Solve 1\/4*b**2 - 1\/4 + w*b**3 - 1\/4*b = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 - 117. Let p = 0.2 + 0. Which is smaller: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 25. Suppose 0 = -3*f + 1 - m. Let a(y) = -3*y - 3. Let h(u) = -2*u - 3. Give f*h(d) + 4*a(d).\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*k - 40*k + 112 = 0. Sort k, -2, -4.\nAnswer: k, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149899929 + 0.4.\nAnswer: 149899929.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -1, 1, -12 in descending order.\nAnswer: 7, 1, 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 235*d**2 - 5*d. Let j(h) = -48*h**2 + h. Let q(i) = 5*j(i) + o(i). Let f(w) = -3*w + 572. Determine f(q(m)).\nAnswer: 15*m**2 + 572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000021523 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00928 to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8377.\nAnswer: 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9061605 hours in milliseconds?\nAnswer: 3262177.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11204, 36503, 61800, 87095, 112388?\n\"Answer: -f**2 + 25302*f - 14097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 8*j**2 + 9*j - 10. Let k be y(7). Suppose -5*f = 2*o - 81, 2*o - o + k*f - 42 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n + 5. Determine l(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15363586 divided by -46?\nAnswer: 333991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 + 0*x**2 + 0*x**2 + (0*x**2 + 3*x**2 + x**2)*(-3*x**3 + 2*x**3 + 0*x**3).\nAnswer: -5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 + 3) - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i - 2*i**2)*(3*i - 5*i + i) + (-13*i**2 + 113*i - 113*i)*(2*i + 5*i - 3*i).\nAnswer: -50*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 2*c + 5 + 7*c + 7*c + 5*c + (-2 - 3 + 2 + (-4 + 4 + 2)*(2 + 4 - 4) + 3 + 2 - 7 - 1 + 5 + 2 - 2 + 2 - 2)*(0*c + 2*c - 6 + 4).\nAnswer: 27*c - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-10 - (-2 + -1)). What is the second derivative of -4*c**z - 7*c + 3*c**5 + 10*c wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 1 (b) -4 (c) -0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1184148 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 4*d + 40, -121*c + 116*c - d = 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*d - 38168 = 0, -6*d + 5*d + 8 = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*g - 1168 - 1173 + 2344 - 2*g to v + w*g and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 15. Let u = -8 + l. Suppose u = -3*w - 0*w + 12. Solve 3*s - 2*s = g, w*s - 5*g = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 37*h**2 - h. Let r be b(-1). Let p = 50 - -26. Let d be p\/16*60\/3. What is the highest common factor of r and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, v: 2, l: 1}. Give prob of picking 2 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 + 6*a - 5. Let s(q) = 7*q**2 + 12*q - 10. Let j(p) = -5*h(p) + 3*s(p). What is j(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2442*n + 295. Is r(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/12*(-8)\/30.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 + o - 144. Let f(j) = 25*j**2 + 4*j - 707. Let h(b) = -11*a(b) + 2*f(b). What is the first derivative of h(t) wrt t?\nAnswer: -10*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131806 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w + 276\/5*w**2 + 279\/5*w**3 + 0 + 3\/5*w**4.\nAnswer: 3*w**2*(w + 1)*(w + 92)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**4\/4 + f**3 + 2*f**2 + 2*f - 54. Let c = 38 + -40. What is y(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3214314 + -220403?\nAnswer: -3440222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 (base 10) in base 2?\nAnswer: -1011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-2\/3)\/t))\/(t**(-2)\/t))**(3\/2))**(1\/14) assuming t is positive.\nAnswer: t**(17\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*u - 64 = -2*w, 3*w - 87 = -3*u. Suppose -2*t + w = 2*g - 15, -5*t = 2*g - 108. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = 9. Suppose 0 = 229*f - 1328 + 183. Sort w, -1, -4, f in increasing order.\nAnswer: -4, -1, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8820689 to the nearest integer?\nAnswer: 2970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -83, 2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11, 16, 43, 70, 97, 124?\n\"Answer: 27*y - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from {k: 2, h: 3, i: 3}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 at least -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -808 = 31*u + 70*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.4 - 8.4. Let v = 8.218 - 8.1. Let i = v - 0.518. What is the closest to h in -10, i, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699010438 to the power of 1\/3, to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -632575, -1265159, -1897743, -2530327, -3162911, -3795495?\nAnswer: -4428079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 - 6)*(5*b - 4*b + b)*(-2 + 2 - 3)*(0 - 4 + 2)*(-1 - 1 + 3) to r + q*b and give q.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 785*y**3 - 103*y**3 + 376*y**3 + (0*y + 3*y - y)*(-3*y**2 + 2*y**2 + 2*y**2) + y**3 - 2*y**3 + 3*y**3 to w*y**3 + z*y + m + c*y**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/610 and -31\/793.\nAnswer: 7930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 = -3*v. Suppose -2*f = 2*w - 110, -v*f + w = -f - 181. Suppose -f - 34 = -3*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 0*s**2 + 14*s**2 + 0*s.\nAnswer: 14*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*4 + sqrt(121))*5)\/(sqrt(396) - (sqrt(396) + -4*sqrt(396) + sqrt(396))).\nAnswer: 25*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, 0, -1, 0?\n\"Answer: h**2 - 6*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 5*d - 2*d)*(-74 + 31 + 37 + 2*d).\nAnswer: 6*d**2 - 18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 + 124. Suppose -a + r + 304 = -4*v, 4*a + 20 = 0. Let g = -38 - v. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 7*i**2 - 3*i - 33. Give q(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2048 = -165*o + 133 + 624 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7766*a**3 + 947 + 7852*a**3 - 24*a**2 - 2*a + 2*a + 104 wrt a?\nAnswer: 258*a**2 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -8 = 2892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1227 - -1226. What is the closest to u in 0.4, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 11.7. Suppose x = 3*s + 5, -x = -s + x - 10. Which is bigger: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -217, -427, -637?\n\"Answer: -210*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 66 = -49. Which is the nearest to 2\/7? (a) k (b) 0 (c) 0.3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**6\/600 - 19*m**5\/150 - 91*m**4\/40 + 294*m**3\/5 - 4293*m**2 - 2*m. Factor r(f).\nAnswer: -(f - 4)*(f + 21)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5502 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 229 + -229.1. What is the closest to x in 3, 2, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5 = 10. Suppose -2*n = -3 - p. Calculate the remainder when 5 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -598\/7 or -86?\nAnswer: -598\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsc when three letters picked without replacement from srscsscc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 282 (base 9) in base 15?\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 11. Let g(i) = -i - 3. Let z(h) = -h**2 + 5*h - 2. Let k be z(6). Let m be g(k). Which is the biggest value? (a) 2 (b) r (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 32*v**2 + 115*v - 17. Give w(28).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 319427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11585 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 76*v**2. Let s(d) be the third derivative of 0*d**3 + 0 - 1\/12*d**4 - 31*d**2 + 0*d. Determine s(a(o)).\nAnswer: -152*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*46669.\nAnswer: -4666.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4950*v + 21939 = 5420*v - 3911 for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/7? (a) -10 (b) -3 (c) -305\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 42605.\nAnswer: 6\/42605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 669527225 to the power of 1\/2, to the nearest integer?\nAnswer: 25875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 6931.4?\nAnswer: -6929.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(22) + (sqrt(242) + sqrt(242)*4 + sqrt(242))\/sqrt(11))\/sqrt(2)*2)**2 + sqrt(99)\/(6*sqrt(63)\/sqrt(7))*-5.\nAnswer: -5*sqrt(11)\/6 + 2158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154364, 308730, 463096?\nAnswer: 617462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5323 and -45534.\nAnswer: 242377482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - 31300?\nAnswer: -31311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -40, -76, -132, -220, -352, -540?\n\"Answer: -2*g**3 + 2*g**2 - 28*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 3:24 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5 = -l. Let y be 1*(19 + 0\/l). Let u = 3 - 0. Solve -5*d = z, -d + u*z - y = 7*z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61\/1817 - 83509\/814016. What is the common denominator of c and -79\/252?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 + 4.28885215131.\nAnswer: 4.14885215131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (7 + -4) - -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2)*(-9 - 1 + 5)*(2*g - 5*g + 2*g)*(-3*g + 2*g - 4*g) in the form m + v*g**2 + p*g and give v.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 1337*t**3 - t**2 + 5*t - 3. Let x be u(1). Let v = -428 + x. Is v a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67158731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 12 - t - 10 + 1 + 18. Is 5 a factor of j(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 554001?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 14 = -2*x + 30, 4*x = 3*l + 84. Solve y + 2*w + 4 = 3*y, 3*w = -3*y + x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.00745 and 3.4.\nAnswer: -6.82533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2.9, 11, 19, -10 in decreasing order.\nAnswer: 19, 11, 0, -2.9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 0, -60\/259, 0.2 in increasing order.\nAnswer: -4, -60\/259, 0, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 11) to base 12.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -181776 divided by -2164?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 - 45*f**2 + 134*f + 27. Let u be b(19). Suppose -2*h - 288 = -4*h. Let y = h - u. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 t, and 2 p when four letters picked without replacement from {h: 4, t: 3, p: 4, b: 5, z: 2}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*i**5 + 1140*i**4 + 75535*i**3 - 298470*i**2 - 1079100*i - 379080 = 0.\nAnswer: -39, -2, -2\/5, 6, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**5 - 420*w**4 + 9625*w**3 - 34010*w**2 + 40800*w - 16000 = 0.\nAnswer: 1, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**(5\/3))\/s)\/s)**41 assuming s is positive.\nAnswer: s**(205\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2\/3 + 98*f - 7203 = 0.\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 526 - 557 = 3*y, 0 = -4*h + 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + 27*k. Let h(m) = -5*m**2 + 52*m + 1. Determine -3*h(s) + 7*p(s).\nAnswer: s**2 + 33*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 2, -5 in ascending order.\nAnswer: -5, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 plus 42384440274?\nAnswer: 42384440308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 6*a**2 + 3. Let k be o(-6). Let c be (-26 - -2)*(-1 + (-1590)\/(-24)). Let w = 1570 + c. Solve 0 = -2*m - k*f - 14, -2*m + w*f = 1 - 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen ninths of a day?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 236*r + 6962.\nAnswer: 2*(r + 59)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + -2 + -1 + -2. Let y = -204 - -206. Suppose -y*l - q + 103 = 0, -l + 29 = -f*l - 4*q. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3301591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483 = 11*b - 428, 3*j + 15 + 6 = 5*b - 2*b - 0*b for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*z - 6, b + 17 + 5 = 5*z. Suppose -z*f - f + 35 = 0. What are the prime factors of (5 - f)*26\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 7*p + 5*p - 16, a - 5*p - 31 = 0. Let w be (-15)\/(-5) + a*4\/(-8). Solve w = 2*g + t + t + 4, -5*g + 14 = -t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 42*(-12)\/(-14)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -403605e4 + -3?\nAnswer: -403605e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80920 + -80909. Let q = -10 + 7. Let j(l) = -l**2 - 5*l - 4. Let s be j(q). Solve s*a - 3 - 3 = 2*z, 4*a - r = 5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(2\/(-15)*3). Let w = 4 - k. Let g be (w\/5)\/(-1*1). Is 0 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.17 - 8.17. Let t = m - 1. Let p = 9.5 + t. Put -5\/3, -1, p in ascending order.\nAnswer: -5\/3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88 * -0.2.\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 1. Let z(o) = 14*o**2 - 2*o - 3. Let q(k) = 6*n(k) + 2*z(k). Factor q(l).\nAnswer: 2*l*(11*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2401824.0147 + -2401610. Let v = 3.54 - -210.46. Let c = n - v. Round c to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11691868 is divided by 354296?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 820204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -56342, -223104, -501040, -890150, -1390434, -2001892, -2724524?\n\"Answer: -55587*b**2 - b - 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (192 + -5)\/(3\/(-6)). Which is greater: -375 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.2, -0.6, -1.7, 4\/9 in decreasing order.\nAnswer: 4\/9, -0.6, -1.7, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.0481\nAnswer: -0.00962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a week?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 746 and 3?\nAnswer: 2238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2*(-6)\/4)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.86? (a) -13\/42 (b) 1.4 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**3 - 8*g**2 + 20*g - 35. Let z be h(7). Calculate the greatest common factor of z and 318.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -414, -204, 6, 216, 426, 636?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 4:09 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*t + 260*t = 28. Let n be 2 - (0 - -2)\/1. Solve n = a + 3*a - t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181984727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2703102 and 306?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(22)\/sqrt(2))**2*-3 - sqrt(11)) - 5*-6*sqrt(11)*-4.\nAnswer: -122*sqrt(11) - 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1474 is divided by 0 + 86 + 381\/381?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1348 = 5*u - u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/426 and -85\/142.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 2:32 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19179550?\nAnswer: 2, 5, 13, 19, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 971 + -610. Suppose 0 = i + 4*s - 79, i - g = -3*i - s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12683 - 7823. Calculate the highest common factor of x and 1260.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/643 in 1\/4, 0.754, -3\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/56 - 203\/(-140). What is the biggest value in -3\/4, j, 2\/5, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**3\/3 - 7*i**2\/2 - 4*i - 24. What is the least common multiple of 6 and t(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*x + 1)*(6 - 2 - 2) - 14*x + 2 - 2 to the form r*x + a and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*k**4 + 3*k**3 - 446*k**2 + 995260*k.\nAnswer: -1248*k**2 + 18*k - 892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 + 39*r + 23 - 38*r - r.\nAnswer: -4*r**3 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 1229 + 436 = 0. What are the prime factors of d?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10 (b) 2 (c) -2.589 (d) 5 (e) -1\/5 (f) -2 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**5 - 2*x**5 - 304*x - 2*x**4 + 308*x + 1 + (-3*x**4 + 3*x**4 - 2*x**4)*(6*x - 5*x + 0*x).\nAnswer: 2*x**5 - 2*x**4 + 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*j**3 + 5*a*j**2 - 2*a*j + 66*a + 755*j**3 wrt j?\nAnswer: -6*a + 4530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 13*k**2 - 10*k - 9. Let w = 43 - 32. Is 13 a factor of j(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3004? (a) 2 (b) 1\/2 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 59, 122, 209?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20.55, 1.8, -2, 2\/7, 2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-258)\/(-4) - (-2)\/(-4). Suppose -p = 5*s - 900, 3*p - 258 + o = -s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015402576 rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -556, -1114, -1672?\n\"Answer: -558*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-15 - -13) - -14) + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c = -12*c - 39. Let w(r) = -26*r**2 - 3. Let h(a) = 391*a**2 + 46. What is c*h(g) + 46*w(g)?\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -84*u**2 + 87*u - 3 = 0. What is u?\nAnswer: 1\/28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (-15 + -31) - 6*2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.29 + 0.19. Which is the closest to -3\/11? (a) 4 (b) 0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-4)*(-1 - -3). Let t = -1 - u. What is the smallest common multiple of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*k = 6. Suppose k*s - 4 = -2*s. Suppose 2*o + n = 4, -3*o = n + 3*n - s. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 8. Give g(21).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-13 - (2 - 12)) + 3 + -6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3073*l + 362617. Give q(118).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, p: 1, z: 2, g: 1, x: 1, w: 1}. What is prob of picking 2 z and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 24*u + 66. Let f be c(-2). What is the second derivative of f*t - 269*t**5 - 66*t - 35*t wrt t?\nAnswer: -5380*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(88)*-1 + sqrt(88)) - 3*(sqrt(88) - (sqrt(88) - -2*sqrt(88))))\/(sqrt(96)\/(sqrt(1452)*-2 + sqrt(1452) - sqrt(1452) - sqrt(12))).\nAnswer: -138*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 70 + -9?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 21 - 6 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1472086 and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4321 (base 6) to base 4.\nAnswer: 33121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -361, -262, -3, 494, 1307?\n\"Answer: 13*w**3 + 2*w**2 + 2*w - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 3*s + 912, -4*l + 0*l - 5*s = 727. Let n = 237 + l. Calculate the remainder when 156 is divided by n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 816 and 1428?\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 16*v**3 + 21*v**2 + 6*v + 11. Let d(l) = -14*l**2 + 3*l**2 - l + 7*l**2 - 3*l**3 - 2. What is -11*d(g) - 2*i(g)?\nAnswer: g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*f + 93*f + 11*f**4 - 18*f wrt f?\nAnswer: 132*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-576)\/1280)\/((-567)\/84))\/((-2)\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -3057055.\nAnswer: -30570550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 27641510.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14909704 divided by -1\nAnswer: 14909704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2002021?\nAnswer: 2002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a - 3*a - 3 + 3 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - ((-80)\/5)\/4. Let a(d) = 2*d**3 - d**2 - 2*d + 2. Let n be a(h). Calculate the common denominator of ((-52)\/6)\/(4 - 0 - n) and 50\/13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/21)\/(6\/(-42)). Let r(k) = k**2 + 6. Let b(m) = 2*m**2 + 11. Give z*b(o) + 11*r(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170322.\nAnswer: 2, 3, 28387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -609.999999324 + 610. Round q to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.6105139 to the nearest integer.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 11208 = -25*o. List the prime factors of o.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {i: 1, k: 2, q: 2, c: 1, x: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 60082000 to the nearest one million.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -302055182 divided by -309166\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 41000 = -0*b. Suppose -4*p + 3*p = b. Round p to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-950)\/6 - (-12)\/(-18). Let c be (v\/9)\/((-2)\/6). Let j = c - 32. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164882241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, 5, 2, -257, 3 in decreasing order.\nAnswer: 8, 5, 4, 3, 2, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 170 = -20*u. Suppose -2*r - 42 + u = 0. Does 16 divide (3 + r - 3)*-8*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -16\/9 (b) -8.3 (c) 4\/3 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7914*m - 15831*m - 3*m**2 + 7917*m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 107*p**2 - 11*p + 4. Let w(l) = 213*l**2 - 21*l + 7. Give -4*w(g) + 7*x(g).\nAnswer: -103*g**2 + 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 10*r = -21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -791*k + 508*k + 674*k + k**2 in the form u + n*k**2 + a*k and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 p, and 1 o when three letters picked without replacement from {q: 3, p: 4, d: 2, g: 1, o: 4}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -23 - ((-10)\/6 - 2)*174\/(-580).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 2:52 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 338 + -338. Suppose 0 = b - 5*h - 4 - 2, 0 = 4*b - 5*h - 99. Solve -o = 5*f + 3*o - b, w = -4*f - 3*o + 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1738 - -12169\/7. What is the nearest to 1\/2 in -2, 1\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 9:51 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 = -2*c - 5, -3*p - 2*c - 10 = 0. Let m be (-3 - (-2 - p)) + 4. Suppose -31 = -3*o - 5*j + 12, 0 = -o - m*j + 21. Solve o*s = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*r, -4*x + 2*r + 36 = -3*r. Find the first derivative of 17 + 210*p**x - 1 - 247*p**4 wrt p.\nAnswer: -148*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11523 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 - 6*c - 30. Determine j(-6).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -3 + -2 + (-27 + 54 - 36)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 883\/2 < 443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(2*sqrt(6)) + -2)**2*3 - (((sqrt(143)*-1 + sqrt(143) + sqrt(143))\/sqrt(11) - 3*sqrt(13)*-1)**2 + -5).\nAnswer: -725\/4 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*z = 2*u - 76*z + 10, -5*u + 0 = 3*z + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-14)*(((p\/(p*p*p**(1\/6)\/p*p))\/p*p)\/p)\/p*p*p\/(p*p*p**(2\/3)*p) assuming p is positive.\nAnswer: p**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -10 + -11 + -78 - -30?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 237433952?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 94*t - 98*t. Suppose 6*f + w - 11 = f, 2*f = 5*w - 1. Suppose t*k - k = f, -2*j + k + 122 = 0. What are the prime factors of j?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 271*h**3 - 18*h**2 - 8. Let y(x) = 91*x**3 - 6*x**2 - 3. Give -3*m(n) + 8*y(n).\nAnswer: -85*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -14. Suppose t + 15 = 4*f, -4*t - 7*f + 24 = -2*f. Sort t, -3, x in ascending order.\nAnswer: -3, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 178 - 178. Suppose 2*o + 3*p - 127 = n, 3 = 4*p - 17. Calculate the highest common factor of 35 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p - 7. Let y(m) = m - 6. Give -5*n(l) + 6*y(l).\nAnswer: -4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4330 - -4195. What is the second biggest value in q, -0.5, -4, 12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.36 + 0.64. Let z = -167963.000024 - -167951. Let x = q + z. Round x to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -192967 and -108?\nAnswer: 192859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 12:40 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-87*o - 8*o - 20*o)*(2 - 2 - 1) + o + 0*o + 0*o as q + y*o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t - 8 = 0. Suppose 0*n + t*n + 6 = 0, p + 2*n = 37. List the prime factors of p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 18 = -4*r. Let h = 0 - r. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(128))**2 + -3.\nAnswer: -185\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 14*m**2 + m + 4. Let q be u(-12). Calculate the common denominator of -71\/8 and (-2)\/(-5) + 2723\/q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*o - 107*o - 117*o + 330*o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229077 is divided by 901.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/59 (b) 88 (c) -1\/1443\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 19006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (21\/((-22491)\/(-34)))\/((-16)\/72) + (-935)\/(-175)\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53 + 53 + 29*u)*(0 + 1 + 2)*(-29 - 16 + 4) to the form k*u + w and give k.\nAnswer: -3567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18923, 18922, 18921, 18920, 18919, 18918?\nAnswer: 18917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/7 + 3952*b**2\/7 - 19822*b\/7 - 3396.\nAnswer: 2*(b - 6)*(b + 1)*(b + 1981)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 11:21 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.2737 millilitres in litres?\nAnswer: 0.1612737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 36721 - 13829 - 22770.\nAnswer: o**2 + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 - 41*q**3 + 140 - 27*q**3 + 78*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361533173.\nAnswer: 361533173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + (-13)\/5)\/(6\/(-13380))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 2:03 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -0.5, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*f**2 - 280*f - 184.\nAnswer: -2*(f + 46)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*h + n + 1, h + n - 6 = 0. Let s be (-8)\/(-3) - (-4)\/(-6). Solve -4*z = -s*z + h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190 + 12972. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1919063702?\nAnswer: 2, 3907, 245593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -778.731 - -780. Let r = -6.266 + j. Let v = r + 5. What is v rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*s + 19*s + 12*s)*(3 + 3 - 5) + (1 + 4 - 2)*(s + 0 + 0).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - 211011314?\nAnswer: -211011335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 882 and 2969547?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 402042 + -121?\nAnswer: 401421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 224270, 897062, 2018382, 3588230?\n\"Answer: 224264*h**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5520381003 - -165925971059\/30. Let m = 10480810 - i. Let h = 3891 + m. What is the common denominator of -77\/20 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 286*p**2 - 5\/18*p**4 + 0*p - 1\/5*p**5 + 2\/315*p**7 + 0*p**3 - 1\/30*p**6 + 0. Factor f(u).\nAnswer: 4*u*(u - 5)*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 181, 361, 543, 727?\n\"Answer: f**2 + 177*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 2, q: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x + 37. Let m be y(-7). Calculate the common denominator of m - (-60)\/(-33) - (-11932)\/(-38038) and 3\/13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-6 + 1 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 14) to base 7.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*f = -87*f + 5*o + 7852, 0 = -5*f - 8*o + 19712. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36829887 by 856509.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32932830?\nAnswer: 2, 3, 5, 7, 156823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 1. Let s(f) = 13*f + 1. Calculate 2*d(u) + s(u).\nAnswer: 15*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/16)\/m)\/m**(-1\/5)*m**28\/(m*m*m*m\/((m*m*(m**(1\/13)\/m)\/m*m)\/m)) assuming m is positive.\nAnswer: m**(24273\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1157284 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d4 (base 14) to base 10.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - -0.3. Let y = -13\/30 - -1\/10. Let f = 0.0246 - -0.1754. What is the second biggest value in y, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**4 - g**3 - 2*g - 5*g**4 + 4*g**4 + 0*g**4 in the form z*g**2 + m + t*g + u*g**3 + k*g**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4*2 + 21. Let j = -7 + w. 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: Calculate the lowest common multiple of 3430090 and 1029027.\nAnswer: 10290270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 15*g - 3 - 14*g - 44*g**4 - g**3 + 4 - 3 in the form d*g**2 + k + n*g**4 + p*g + q*g**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 71600000 to the nearest 100000.\nAnswer: 71600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d + 4. Let o(x) = 7*x + 5. Let c(r) = -5*j(r) + 4*o(r). Let k(s) = s**2. What is c(k(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002073 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100 - -1890937?\nAnswer: 1891037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52\/85 + 86\/85. Which is the third smallest value? (a) d (b) 1\/26 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -21.1. Let x = -0.1 - j. What is the third smallest value in -3, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -232. What is the remainder when z is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 3) + 1 + 5 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-12))**(-12) assuming k is positive.\nAnswer: k**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6142*d. Let z(w) = -17514*w. Give g(z(s)).\nAnswer: 107570988*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 344 and 774.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12*(66\/(-77))\/((-6)\/(-14)). Suppose y + 4*y = 60. Solve -w + y = -4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 5 = -7*q - 73. Let o(m) = 17*m**2 - 14*m - 11. Let n(p) be the first derivative of 2*p**3 - 5*p**2\/2 - 4*p - 1. Determine q*o(j) + 11*n(j).\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from croloocoooqr. Give prob of sequence rr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*p*q**2 + 35*p*q + 1642359*p + 26*q**2 + 2*q wrt q?\nAnswer: 24*p*q + 35*p + 52*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 197.2\nAnswer: -5.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 - (-27 + 6 + -2 + 14 + 2 + -3)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -22*(-3)\/4*-2. Let v be n\/(-5) - (-6)\/15. Let p be 14 - (1 - 3 - -1). Solve v*a - 2*a = p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + v + 2. Suppose -2*y + 3*y - 2 = 0. Is 6 a factor of b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away 62632?\nAnswer: -62631.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89171 is divided by 130?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 835*a**4\/12 - a**3\/3 - 190*a**2 + 1386*a. Find the second derivative of v(m) wrt m.\nAnswer: 1670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-seven thirds of a hour?\nAnswer: 80400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*y = 91*y + 5. Let v(w) = -69*w**3 + w**2 + 3*w + 2. Calculate the lowest common multiple of v(-1) and y.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/1 - (-48 + 5). Suppose 0 = -c*q + 42*q + 25. Let u(n) = 3*n**2 + 4*n + 12. What is the hundreds digit of u(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*x + 3*x - 11*x + (6 - 3 - 2)*(3*x + 3*x - 9*x).\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2) + 4)**2 + sqrt(2) + (2 + sqrt(2))*3.\nAnswer: 2*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23465.\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88775 and 1512525.\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3*3\/6 + (-65)\/(-10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a1a212 (base 11) to base 7.\nAnswer: 40662333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03464 from -7936.\nAnswer: -7935.96536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -5*o + 16, 0 = -4*s - 2632*o + 2628*o + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 11 = -1. Suppose -n = -h*n - 3. Let d be -18*(3 + -8 - n). What is the highest common factor of 18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -1 + 1 + -13. Suppose 0 = 3*n + 13 + 56. Let k = v - n. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19365 + 19409 + 2*t + 19406 - 58180.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/8)\/((3\/6)\/(-1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 276*g - 31*g - 4410 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(245))*-5)**2 - 2*sqrt(245)*-5.\nAnswer: 770*sqrt(5) + 6225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15\/157 - 28671\/628. Let r = j + 46. Let t = -19.8 + 19.3. What is the nearest to r in 3, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372\/56 + 3\/(-21) - 6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.94516 weeks in minutes?\nAnswer: 765527.2128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -216410 times 0.01\nAnswer: -2164.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72315 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4340 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -29cd (base 16) in base 13?\nAnswer: -4b42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12449947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -64605119?\nAnswer: -6460511a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-28)\/(-21))\/(136\/12). Let z(s) = -s**2 + 2*s + 3. Let k be z(3). Is k >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 4, -463779 in increasing order.\nAnswer: -463779, -23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9100425 to the nearest integer?\nAnswer: 3017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 - (-18333)\/3591.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 29*s - 4. Let w(j) = 3*j**2 - 58*j + 10. What is -5*c(l) - 2*w(l)?\nAnswer: -l**2 - 29*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34773*j*y + 242559*j wrt y?\nAnswer: 34773*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232 divided by 16174?\nAnswer: 616\/8087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 30*v + 575. Calculate f(-20).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -101*l**3 - 4*l**2 + 2*l - 1. Let s be u(-5). Suppose -3*q - 26539 = 4*a, -13*a = -3*q - 15*a - 26543. Let g = q + s. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2163 less than -15140\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = h - 3. Let a = 2 - 3. Let r = a - -4. Solve -r*y + 2 = -h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1102 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 238 and 79338?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*q + 4497 - 2993 = 0 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 23*h - 28. Let m be b(20). Let w = m - 255\/8. Let o = w - 11\/24. Sort -0.1, 0, -3\/5, o.\nAnswer: -3\/5, o, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + x - 1)*(0 - 2 + 1)*(-4 + 4 - 5*x) + (-x + 0*x - x)*(0 - 4 - 3*x + 2*x).\nAnswer: 7*x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5942, 5, 2\/7, -4\/9, -1, -1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 46?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 95127310 times -7?\nAnswer: -665891170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -14. What is the remainder when b is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -y - 48. Sort -1, -2, 0, y in ascending order.\nAnswer: -2, -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/3, -7617, -0.4, -11, 24?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, -1, -42\/11, 2\/7 in decreasing order.\nAnswer: 2\/7, -1, -1.2, -42\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 6. Suppose 5*l - 49 - 61 = 0. Let b = l + y. What is the remainder when 55 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -10*b**3 + 0*b - 1\/4*b**5 - 1\/24*b**6 + 0 - 111*b**2 + 10\/3*b**4. Factor w(i).\nAnswer: -5*(i - 2)*(i - 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 64\/12*1*21. Suppose -5*h + q = 2*h. What is the second derivative of h*f + 6*f + 11*f**3 - 7*f + 4*f**3 wrt f?\nAnswer: 90*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -177 - -484. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 16800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2229 is divided by 107.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35156411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*g**4 + 245*g**3 - 33*g**2 + g + 10 wrt g?\nAnswer: 360*g + 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1083 - 620. What are the prime factors of f?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*(sqrt(150) - (sqrt(150) - (sqrt(150) - (sqrt(150) + 4*(3*sqrt(150) + sqrt(150)) + sqrt(150))))))\/(5*(sqrt(192) - -3*sqrt(192))).\nAnswer: -51*sqrt(2)\/16 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-5))\/(-7)*1\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12513 + 12532 + (2 - 61).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -437\/2 - -1309\/6. Put 0.5, -3, 333, i in descending order.\nAnswer: 333, 0.5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.205268 rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*2\/8)\/(16\/192). Let m(f) be the third derivative of -f**6\/120 - 7*f**5\/60 - f**4\/3 - f**3\/3 - f**2. Determine m(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 18*a + 5 = l, 2*a - 5*l + 1 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 32*h**3 - 5*h**2 + 4*h. Let t(o) = -31*o**3 + 6*o**2 - 5*o. Calculate 5*g(n) + 4*t(n).\nAnswer: 36*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -556 - -560. Suppose -4*g + 138 = -20*v + 21*v, y = 2*v. What is the highest common factor of 187 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a. Let o(s) be the first derivative of s**4\/8 + 2*s**2 + 9. Let v(z) be the second derivative of o(z). What is -5*b(g) + 6*v(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 133801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 55, -2\/11, 4, 1\/4?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 g when two letters picked without replacement from fnzsgfb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 u when three letters picked without replacement from {m: 3, u: 5, o: 2, e: 7}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-7))\/(1\/7). Suppose 2*j - h*j + 2 = 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s + 40. Calculate k(-37).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -763, -1525, -2293, -3067, -3847, -4633, -5425?\n\"Answer: -3*y**2 - 753*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*t - 8, 10 = -4*t - t. Suppose -4*x + 5*o + 3 = c, -x - 3*o + 7*o - 2 = 0. Solve -x*j = 2*j - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6195*z - 6192*z - v = -12388*z - 2, 0 = -5*z - v + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/(-6))\/((-7101)\/(-8416)) and 79\/18?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 6:09 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 801 and 434462400?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -95 + 46 + 54 + 2*m. Calculate t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y**3*y)**28*(y**(4\/7)\/y)**(-44) assuming y is positive.\nAnswer: y**(1504\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/11 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809359339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 2:25 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97*o**2 + 40*o**2 + 120*o**2 - 152*o**2 - 3*o**5 + o**3 wrt o?\nAnswer: -180*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -157697978*h**4 - 86103430.\nAnswer: -630791912*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15330838 (base 9) to base 5\nAnswer: 3423401222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 319819139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443 = 51*y - 313 - 570 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1459 + 1459.1. Let j = 0 - -4. What is the closest to b in j, -2, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from uybouru?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 227649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-60) + 4232\/6. Let h = f - 699. Does 8 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46703 + -46655. Calculate the highest common factor of 564 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.03 + -7.641. Let g = s - -0.711. What is the nearest to g in -0.1, 0.1, 0.03?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 716140 (base 11) to base 15\nAnswer: 17abb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 575 + 513 = 4*r, 0 = -4*n + 3*r + 49 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 + 9*w - 8. Let k be v(1). Suppose -k*i + 835 + 413 = 0. Calculate the greatest common divisor of 26 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 + -3016?\nAnswer: -3055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 29*a + 2. Let i be s(2). Find the common denominator of ((-5)\/i)\/(10\/246) and -41\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738 is divided by 86?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w. Suppose 14*v - 6 = 17*v. Calculate f(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 + 5*k**2 - 12*k + 208. Calculate x(-7).\nAnswer: 1566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 52*r**3 - r + 5*r**2 - r.\nAnswer: -52*r**3 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + (2*(sqrt(384) - (sqrt(384) + (sqrt(384) - 1*sqrt(384)))) + sqrt(384) - sqrt(384)))\/(sqrt(96)\/(sqrt(12)*-2)*6)*-5.\nAnswer: 20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = -26*m + 149 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -20*16*(-2)\/(-128)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*(-2 + 18). Let k be (m\/6)\/(4\/966). Suppose -9*z + k = -758. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26\/617 or 1?\nAnswer: 26\/617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 v, and 1 l when four letters picked without replacement from lmmlmmvlvlm.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 - 8. Suppose 4*h = -5*c + y, -c = 3*c. What is the smallest common multiple of ((-4)\/(-6))\/((-2)\/(-6)) and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 5*i = 8, 3*i + i + 4 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*p = 26, 5*g - 64 + 31 = 3*p. Suppose 0 = x - 12. Suppose 0*s = g*s - x. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/5)\/f*f)\/f)**(-42)*(((f*f\/(f*f**4))\/f)\/f)**17)**22 assuming f is positive.\nAnswer: f**(-5654\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 389216463 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381 = -3*l + 2*q + q, -2*l = -3*q - 249. Let i = -502 + l. Round i to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (6 + 8)) + 9\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -12 + -3 - -12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74.86 + -74.8601487. What is u rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -a1d98b?\nAnswer: -a1d98d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 7*p + 4. Let n be x(6). What are the prime factors of (n - -23) + 6\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 10:23 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 84, 12, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 31 - 8 - -10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -122332?\nAnswer: -122330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 46640.\nAnswer: 139920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 - 9*x**2 - 2*x - 18. Let b be y(5). List the prime factors of 58*b\/2*(3 + -4).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -7 - (180 - 181).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1497, -2510, -3011, -3000, -2477, -1442?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 892 = -121*c - 126 - 313 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Let l = -112.834 - -0.034. Let v = l + 110.8. Which is the nearest to 5? (a) v (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-247) - 40\/(-325).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -759332\nAnswer: -1\/379666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)\/y)**(1\/2)\/(y**(-1))**(5\/2) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 718?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0*h + 8. Suppose 1 = 3*t - z, 2*z + 0*z - h = 3*t. What is the third derivative of -2*r**4 - r**6 + 2*r**4 - r**t wrt r?\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -285749156 or -285749154?\nAnswer: -285749154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + sqrt(1188)*-2)\/(sqrt(99) + 2*sqrt(99)))**2.\nAnswer: 121\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 510861152 to the nearest integer?\nAnswer: 22602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in -0.2, 50, 2\/261?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**5\/20 + 7*k**4\/12 - 3*k**3\/2 + 5*k**2\/2 - 4*k. What is the tens digit of o(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, k: 1}. What is prob of sequence ww?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 7 = 2. Let b = 6 + z. What is the third derivative of 2*t**2 - 4*t**2 - 3*t**4 + b*t**4 - t**4 wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -39*v**3 + 4*v**2 - 4*v. Suppose -1195*z = -1180*z + 15. Let b(o) = o**3 - o**2 + o. What is z*t(u) - 4*b(u)?\nAnswer: 35*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 5*g**2 - g + 7. Calculate x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 19)*(21*l - 3*l - 133*l) to f + b*l and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: 19\/57 - (-5)\/(75\/(-2))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.7 + -8.7. Sort -2\/5, j, -4\/3, -0.2 in decreasing order.\nAnswer: j, -0.2, -2\/5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 34 and -225.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-3)\/(-9) + -4. What is the common denominator of 73\/22 and (2\/15)\/(m\/55)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3258.5 and -0.173?\nAnswer: -563.7205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3244 = 6*t + 482. Let j = -350 - t. Is j at least as big as 269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101419 divided by -208?\nAnswer: -101419\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -902, -3673, -8298, -14783, -23134, -33357?\n\"Answer: -i**3 - 921*i**2 - i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 369849248.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = 10*b + 176. Let c be b\/(-3)*2\/((-24)\/(-9)). Which is smaller: c or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 6*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3\/6 - 3856*k**2\/3 - 5003865*k\/2 - 1095923439 = 0. What is k?\nAnswer: -837, 9386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/(36\/48)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**5\/20 - 7*p**4\/12 - 5*p**3\/3 - 21*p**2\/2 - 21*p. List the prime factors of k(9).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 11011011?\nAnswer: 11011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -9, 8, -83, 80, 1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202200143 to the nearest integer?\nAnswer: 14220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4163, -8328, -12493, -16658, -20823, -24988?\nAnswer: -29153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 745033657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(12) - 2*sqrt(12)))**2*-5 - sqrt(14)\/(-2*sqrt(7))*-2.\nAnswer: -10 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 7:45 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 7. Let w be 8 + 4 + (-5 - 2). What is a(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 6*q + 181 - 198. Let y be d(-20). Let a be (2 + -1)*(9 - 0). Calculate the greatest common divisor of a and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:45 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13754600 (base 8) to base 14.\nAnswer: 5b8b4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 352512 (base 6) to base 7\nAnswer: 154466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 17}. Give prob of picking 1 v and 1 x.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150*q**2\/11 - 2418*q\/11 + 288\/11.\nAnswer: 6*(q - 16)*(25*q - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 43 = 4*b, 6*b = 11*b - 5*t - 45 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11919*j**4*m - 2*j**4 - 263*j**3*m + 16*j**2*m - j**2 - 75136*j*m + 2 wrt j?\nAnswer: 286056*j*m - 48*j - 1578*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*c = -5*z + 9, 4 = 3*c + z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 10:17 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 454831913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317918534?\nAnswer: 2, 158959267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 2\/11 (b) 2\/57 (c) 51 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -13*r - 6. Let o(a) = 7*a + 3. Let k(h) = 6*l(h) + 11*o(h). Find the first derivative of k(t) wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 12504.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*c - 8 = 0. Suppose 25 - 73 = -c*v. Solve -n - v = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9a1047 (base 13) to base 12\nAnswer: -12704a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89883030 by -15.\nAnswer: -5992202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -3, 3, -20, 0 in descending order.\nAnswer: 22, 3, 0, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4853597 and 21?\nAnswer: 14560791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3949679 is divided by 197469.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3212 - -31.8212. Put -1\/4, -1\/3, i in descending order.\nAnswer: i, -1\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 2*i + 5, -5 = 73*t - 78*t - 2*i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/20)\/(2\/72*-3). Sort y, 15, 20 in descending order.\nAnswer: 20, 15, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q + 2*q - 2*q**2 - 5*q = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + 3 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 49 + 24 = 0. What is the fourth smallest value in b, 23, -2\/11, 2\/7?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 235 + -3527\/15. Let d be 2\/(-8) + (-1)\/(-2). What is the fourth smallest value in -1\/12, -0.5, a, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 12*u - 38. Let c(l) = -16 + 36*l - 57 - 41. Let p(q) = -4*c(q) + 11*k(q). Does 26 divide p(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 take away -2.357703?\nAnswer: 23.357703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 367 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 0.22 (c) -0.082 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/(sqrt(8) + sqrt(88)\/sqrt(11) + sqrt(8)))\/(4*sqrt(60)\/sqrt(5)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -15492647 less than or equal to -15492647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 + 142. Suppose 27 - k = -d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*m*v + 7826701*m - 5*v + 17433010 wrt m.\nAnswer: -17*v + 7826701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -24, 62*h + 5*t + 17280 = 67*h. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3486720.672 plus -0.43?\nAnswer: -3486721.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = -2*p + 3*f, 2*p - 6 = 2*f. Let q = 516 - 932. Let c = q + 420. Put p, -42, -3, c in decreasing order.\nAnswer: p, c, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 4320131?\nAnswer: -4320122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7043121 and 4392?\nAnswer: 56344968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -2*o**7\/105 - o**6\/6 - 3*o**5\/5 - 7*o**4\/6 - 4*o**3\/3 - 126*o**2. Factor g(w).\nAnswer: -4*(w + 1)**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v - 5. Let y(q) = -10*q - 8. Let b(c) = 7*t(c) - 5*y(c). Let h be b(-8). Let s(x) = -x + 2. Let a be s(-2). Put -2, h, a in descending order.\nAnswer: a, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r + 30. Does 9 divide o(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -110\/3. Let x = -14 - -18. Which is the smallest value? (a) x (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/p**(2\/11))\/(p*p*p**(-7)*p\/(p*p**(-5\/7)*p)) assuming p is positive.\nAnswer: p**(8\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/5 + 1)\/(4\/10). Suppose -v*f = 65 - 491. What are the prime factors of f?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -3*g**2\/2 + 24. Let i(b) = 9*b + 2. Let k(p) = 44*p + 11. Let o(j) = -11*i(j) + 2*k(j). What is o(w(z))?\nAnswer: 33*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, 0, 1, 0?\n\"Answer: -u**2 + 6*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42021?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n - 18*n - 7*n + 52*n - 16*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*g - 2, -6 - 13 = 5*g - 4*f. Let r be 14*(-1)\/(g\/(-15)). Let q = r - -126. Is 21 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 0*b**2 + 6\/7*b**7 + 28*b**4 + 0 + 24*b**3 + 13\/5*b**5 - 143*b - 28\/5*b**6. Factor r(m).\nAnswer: 4*m*(m - 3)**2*(3*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3644 - 3650. Let h(k) be the first derivative of 8*k**3\/3 + 3*k**2 + 9*k + 6. Let g(n) = 9*n**2 + 7*n + 10. Determine w*g(t) + 7*h(t).\nAnswer: 2*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -29*l**5\/5 - 17*l**2 + 16. Find the second derivative of u(w) wrt w.\nAnswer: -348*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*18\/34)\/((-8736)\/(-23296))?\nAnswer: 24\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64.107 + -63. Let o = -0.107 + g. Put -2, o, 0.5 in ascending order.\nAnswer: -2, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - -12) + 12 - -19?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5314449 greater than or equal to -5314449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s = 0. Suppose s = 3*o - 6*o. Let z(w) = w**2 + w + 10. Determine z(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17058832 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(4\/3)*y**(2\/5)*y*y\/(y**(2\/5)*y) assuming y is positive.\nAnswer: y**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*s**2 + 265 - 304*s**2 + 24 + 27.\nAnswer: 2*s**2 + 316","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 121657 + 4*s - 243301 + 11*s**3 + 121643 - 9*s**2 + 5*s**4 in the form j*s**4 + l*s + y*s**3 + v*s**2 + b and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32b06 - 1?\nAnswer: 32b05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -24633 divided by -1449\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11887263?\nAnswer: 3, 440269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6295*r - 472117. Determine b(-75).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*t + 7*t + j, -2*j = -4. What is the remainder when t is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*j**3\/7 - 779*j**2\/7 + 628*j\/7 + 20.\nAnswer: (j - 70)*(j - 1)*(11*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 78.\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 f, and 1 p when four letters picked without replacement from {f: 2, p: 1, w: 4, o: 2, u: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*o + 540, -4*n - 2*o + 142 = -410. What are the prime factors of n?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Determine u so that 27*u**3 - 23*u**4 + 4*u**5 - 13*u**4 + 5*u**3 + 16 - 36*u + 8*u**t + 12*u**4 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-12))\/((-3)\/(-6)). Let v = -0.1 - 0.9. Let u = v + 3. What is the closest to 1 in o, u, 2\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 11*o**2 - 2*o - 1. Let h(s) = -s**2 - 6*s - 3. Let d be h(-5). Suppose d = -4*c - 2. Calculate n(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -11*m. Let t(y) = 3*y**2 + 0*y**2 - y**2. What is k(t(r))?\nAnswer: -22*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -55. Find the first derivative of 4*u**4 - 9 + 4*u**4 + 4*u**h wrt u.\nAnswer: 48*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2063110 times 2.4?\nAnswer: -4951464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603358 = 7205*v - 23477 for v.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -59. Suppose -z = 2*z - 3*u - l, 0 = -2*u - 8. Suppose z*o - 4*k - 12 = 0, 0 = -4*o + k + 5 + 5. Which is smaller: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdd when three letters picked without replacement from {d: 1, g: 4, a: 5, q: 10}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 42572.09 millilitres?\nAnswer: 42.57209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 2. Let m be 234\/(-42) - (-3)\/(-7). Let g(p) = p**2 - 3. What is m*s(h) - 4*g(h)?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 divided by 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*o - 144000000 = -4*o, -2*z + o = -72000000. What is z rounded to the nearest one million?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -99*w**8\/28 - 1019*w**5\/60 - w**2 - 621. Find the third derivative of l(x) wrt x.\nAnswer: -71280*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46188\/173205*(-85)\/4\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 11:59 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 12*y**2 + 5*y. Let m(t) = -9*t**2 - 3*t + 2. Let z(l) = 28*l**2 + 9*l - 7. Let x(i) = 14*m(i) + 4*z(i). Let j(p) = 5*d(p) + 4*x(p). What is j(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z**2 + 14*z - 14. Let c(t) = -3*t**2 - 5*t + 5. Let x(k) = 14*c(k) + 5*s(k). Let f(h) = -50 + h + 50. Calculate f(x(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - -4) + -1*4. Suppose -24 = -l*g + 16. Suppose -5*k - 2 = -4*b - 26, -g = -5*k + 5*b. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -129091.81809 to the nearest integer.\nAnswer: -129092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**3 + 6*z**2 - 6*z + 6. Let b be (0 + -1)\/((-8)\/(-40)) - 1. Let n(h) = -20*h**3 + 25*h**2 - 25*h + 25. Determine b*n(c) + 25*a(c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -12, 1, 4, 0.03, 254?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02962 from -0.1.\nAnswer: -0.07038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 371*b**2*w**3 - b - 170*w**3 wrt b.\nAnswer: 742*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgmgmxmmgmgx. What is prob of sequence mxgm?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*u**3 - 7*u**3 + 19*u**3 - 3 + 5*u**2 + 2 to the form a + h*u**2 + m*u**3 + k*u and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -c0 (base 13) in base 15?\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 306458?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - 2 - (39 + -3 + -29).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 18*l = 68. Solve -3*q = -l*q - 8*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -49*s. Let h = 343 - 342. Calculate a(h).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 1, p: 1, j: 1, t: 1, f: 1}. Give prob of sequence ft.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7b245 + 2?\nAnswer: 7b247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-756)\/(-17))\/4 - (-42)\/(-357)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 m when four letters picked without replacement from mmnmmmnm.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6, 0.5, 9042, -5, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 10*z - 11. Let h be y(9). Let t be 10\/20 - (-105)\/h. Let b = t - -56. Solve -4*l + 0*x - 13 = x, 1 = l - b*x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - b - 1. Let r(l) be the second derivative of l**5\/10 - l**4\/4 + l**3\/2 + 2*l**2 + 29*l. What is -3*k(g) - r(g)?\nAnswer: -2*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -44, -59, -78, -101, -128, -159?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-336*k - 673*k - 1096*k + 477*k)*(1 + 4 - 4).\nAnswer: -1628*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20*(12\/16)\/((-6)\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + 23*l - 67. Let n(w) = -4*w**2 + 7*w - 8. Let p be n(3). Is 66 a factor of r(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 10, l: 9, s: 1}. What is prob of picking 1 p and 1 l?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.0163.\nAnswer: 0.0489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014167 a multiple of 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7169076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 24 + 30 = 0. Calculate the remainder when 14 is divided by 6\/(-4)*(z + 2 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1521074962 and 46552.\nAnswer: 11638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 144264113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11538*i + 6309*i - 1340*i.\nAnswer: 16507*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 13616697.\nAnswer: -28\/13616697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15723.802 rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.488768 micrograms in tonnes?\nAnswer: 0.000000000000488768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5074 from -45.9.\nAnswer: -5119.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*w - 46*w + 32*w. Is w <= 2\/8955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/278122 and -51\/468416?\nAnswer: 8899904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - -0.03307910123.\nAnswer: -30.96692089877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91692954?\nAnswer: 2, 3, 29, 269, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.03301 rounded to one decimal place?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 865709319 to the nearest integer?\nAnswer: 29423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, d: 4, y: 2, z: 4}. What is prob of picking 2 x, 1 z, and 1 d?\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s + 3*s = -6*s + 99 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5539*m**2*u + 2*m*u - 1639*u wrt m.\nAnswer: -11078*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 b when three letters picked without replacement from pctupctbtcucwctt.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -2*o + 5, -420*o + 408*o - 4*d = -140 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3 - 0. Put -4, a, 5 in ascending order.\nAnswer: -4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.55673 to one decimal place.\nAnswer: 116.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 85.54597 micrograms?\nAnswer: 85545.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1167432, 1167370, 1167302, 1167228, 1167148, 1167062?\n\"Answer: -3*f**2 - 53*f + 1167488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = x - n, x - 12 = 3*n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/11 - 35\/44. Put l, 5, -5, 4 in ascending order.\nAnswer: -5, l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766 bigger than 655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -16*g + 486. What are the prime factors of j(-28)?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3717841 is divided by 1858715?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 - -110011?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -8. Suppose 4*o - h*o = 4. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 340*i**2 + 41128*i - 1443. Give p(-121).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35125 is divided by 239.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4ad - 72559?\nAnswer: -7208a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1790 + 310 = 21*x. What is the remainder when x is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -262579502*q**4 - 12845725.\nAnswer: -1050318008*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 782925 and 593125?\nAnswer: 19573125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j = 94*j + 237 + 261 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 7:57 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1805 + (21 - 7) + 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -2, -0.1 in decreasing order.\nAnswer: 77, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -84. Let v = 37 - q. Solve -v*r = -5*t - 35, 0*t + t + 14 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 2 + 72*p**2 - 5 - 6.\nAnswer: 72*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -27 - -9 - (3 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 649619953146 and 0.1.\nAnswer: 649619953146.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j. Let z(q) = -q**3 + q**2 + q + 12. What is the tens digit of z(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/4)*a*a)**(15\/7))**43 assuming a is positive.\nAnswer: a**(5805\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4994\/84 + 4\/(-24). Let n = -59 + u. Which is the second smallest value? (a) 2 (b) -6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*v + 4*v. Let h = 1 - v. Solve u = -u + k - 2, h = -5*u + 3*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 100307, 100316, 100347, 100412, 100523?\n\"Answer: 2*o**3 - o**2 - 2*o + 100308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1 + d**2 - 1. Let f(c) be the second derivative of c**6\/60 - c**3\/3 + 61*c**2\/2 - 3*c + 2. Let v(s) be the second derivative of f(s). Give v(l(y)).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 199.1 + -199. Which is the smallest value? (a) -3\/2 (b) -8 (c) h (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k + 390 = 32*k. Let p(f) = 3 + 4 - 2*f + 5*f. What is the remainder when p(5) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12074126 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4)*-2*-38. Let m(o) = -6*o**3 + 2*o + 1. Let h be m(-1). Suppose 0*f = 4*f - h*s - g, 0 = -3*f + s + 34. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 208*r**2 + 65298*r - 4396 = 0.\nAnswer: -314, 7\/104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2538 or 5141?\nAnswer: 0.2538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -12*l + 928. Let a = l - 60. What is the biggest value in -0.03, -2\/15, a?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -314556 rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1703734*u + 4953696.\nAnswer: 1703734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhthddxhdjatxxtt. Give prob of picking 1 h and 1 a.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76*o**3*r*w**2 + 2*o**3*r*w - 7*o**3*w - 4*o**3 + 9*o**2*r*w**2 + 3*o**2*r*w - o*w - 2*r*w**2 wrt w?\nAnswer: -152*o**3*r + 18*o**2*r - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6138.991 rounded to the nearest 10?\nAnswer: 6140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -10. Let v = -0.0313 + 0.0313. Suppose 4*u + 9 = 5*h, u - 24 = -5*h + 5. Which is the nearest to v? (a) h (b) p (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 0.1 (c) 3\/664 (d) -3 (e) -5 (f) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 0*l - l - l - 5. Suppose -21 - 4 = 5*k + d, 15 = -3*d. What is v(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36 or -56?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/16507 + 1139053\/1155490. Let n = a - 11\/14. Which is smaller: -1\/4 or n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, t: 2}. What is prob of picking 1 t and 2 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4817172903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**5 + m**5 + 45*m**5 + (m + 3 - 3)*(-5*m**4 + m**4 + 0*m**4) + (-5*m**3 + 3*m**3 + 4*m**3)*(-3*m**2 + 0*m + 0*m).\nAnswer: 37*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 15*b + b)*(214*b + 199*b - 154*b) as x + u*b**2 + o*b and give u.\nAnswer: 3626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5 + -4 + 131 + -4 is divided by 116.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*w + 3*c + 4, -5*w = -3*c - 12. Solve w = -5*d + 7 + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {l: 6, n: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**3\/3 - l**2\/2 - l - 10. Let j = 0 + -1. What is x(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 4 (c) -2\/19 (d) -0.04 (e) 3 (f) -88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from goghhutdhghgggt?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57059?\nAnswer: 57059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -20*i**2 - 18. Let s(v) = -v**2 - 1. Calculate 2*r(n) - 36*s(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 7*s. Suppose -2 = o - s. Let m(l) = -21*l + 7. Let j(d) = 10*d - 3. Let i(a) = 9*j(a) + 4*m(a). Give i(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 8:26 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12\/((6\/9)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 32*m - 12. Let p be t(1). Let b be -2 + 1 + 4 - -1. What is the greatest common factor of b and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 5\/3 (b) -1\/166 (c) 2 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/(-30)*57\/38.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.00053 + -0.02957. What is the third smallest value in 1, 2\/3, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-9) - (44\/12 + -4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**5 + 31*d - 2*d**5 - 15*d wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1215628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/(10*84\/(-90))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-60)\/(-35) + (-730784)\/(-287) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10048060?\nAnswer: 2, 5, 11, 45673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 3:08 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -17 + -20 - -26\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -m + 11, 2*d - 113 = 5*m - 144 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888074?\nAnswer: 2, 11, 37, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**6\/15 + 4*g**5\/5 + 5*g**4\/6 + 20*g. What is the third derivative of l(x) wrt x?\nAnswer: 48*x + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/4 - 3*x**3\/2 + 17*x**2\/4 + 39*x\/2 + 14 = 0. Calculate x.\nAnswer: -7, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -67.1735 - -9\nAnswer: -58.1735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/(-9) - 3 - 13\/(-3). Let h(x) = 2*x + 46. Let m be h(-23). Let r be (m + (20\/3 - 2))*6. Solve -3*n - 2*l + 1 = 5, 2*n = d*l - r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104239036309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 372470.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - s**2 + 0)*(2 - 2 - 5*s).\nAnswer: 5*s**3 - 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1819018493?\nAnswer: 587, 3098839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/42)\/((-5)\/7*(-144)\/(-120)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 - (-4)\/6. Let b = z + -10. Let q = b - -29. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 5*t - 5. Let o be f(8). Let h = -68 + o. Is 22 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494 a factor of 236228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503798.\nAnswer: 2, 109, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 3*s + 3. Let r be m(6). Let k(l) = -3 + 4 + 15*l - 34*l + r*l. Let d(t) = -2*t - 1. Determine -6*d(a) - 5*k(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1324*g - 323*g**2 - 319*g**2 + 1324*g + 638*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -7a?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121 - 106. Suppose -80*x + 75*x = -s. Find the third derivative of 3*t**3 + 14*t**3 - 10*t**x + 24*t**2 wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*j**4 + 346*j**3 - 562*j**2 + 110*j + 112 = 0. What is j?\nAnswer: -1\/3, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.43 - -11.26. Which is the closest to 1\/3? (a) 0.2 (b) 2\/21 (c) v (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1405 = -4*u, -3*u + 498 = -4*o - 561. Let k(p) = -u*p + 0 + 348*p + 0. Let x(r) = -6*r. What is x(k(b))?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.9 and -0.33.\nAnswer: 0.957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23459 is divided by 1954?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3360 + 3350 - 2*r - 4*r - 6706.\nAnswer: -6*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17033.05km?\nAnswer: 17033050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38.9 and -2.248.\nAnswer: -87.4472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 9 = -v, -2*r = -5*v - 43 - 2. List the prime factors of 31\/3 - 6\/v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**13\/h*h)*h**(4\/13))**(1\/30) assuming h is positive.\nAnswer: h**(-76\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19011629.\nAnswer: 7, 13, 59, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3319365*s**6 + 2*s**4 + 13*s**2 - 2*s - 9929 wrt s.\nAnswer: -398323800*s**3 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77012 + 15?\nAnswer: 77027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 12:29 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-147) - (-13)\/21\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 23. What is x(17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, b: 1, n: 12, x: 1, p: 3}. What is prob of sequence ppx?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/15)\/(4\/42). Suppose 9*i - v*i - 16 = 0. Let a = i + -13. What is the second biggest value in -3, -3\/8, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -721*g**2 + 132436*g - 132436*g to c*g + k + s*g**2 and give s.\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1638590 or -1638589?\nAnswer: -1638590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88738*s + 4 - 88742*s + 1.\nAnswer: -4*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouuooooonnnonnoo. Give prob of picking 2 u and 1 o.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, 1.002, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**4 + 15*l**3 - 5*l**2 - 15*l + 10 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**5 + 2*w**2 - 3*w - 3. Let k(z) = z**5 + z**2 - z - 1. Let c(v) = -2*g(v) + 6*k(v). What is the third derivative of c(i) wrt i?\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 48467240?\nAnswer: 145401720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 2*y + 1. Let n = -5 + 3. Let r be q(n). Suppose 0 = 2*w - 3 - r. Solve -m - w*m - 3 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*j - 155*j + 5205 - 11124 = 17281 for j.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*o + 110, 4*o - 152 = -5*b + 470. What are the prime factors of b?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -3, -20, 0.2, -11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1145 in 0.1, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in -4, 1, -41, 32, -0.111?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t - 26. Let u(j) = 9*j + 39. Determine -5*u(i) - 7*y(i).\nAnswer: 4*i - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(1 + sqrt(2736) - sqrt(2736)) + 2 + 0)*-3)**2*5.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*l + 71*l - 10 = 22, -5*l = -3*d - 34 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3331022 - -22200?\nAnswer: 10013222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7)\/(a\/(a**(1\/8)*a)))\/(a**(-1))**(1\/17))\/(a**5\/(a\/(a\/(a**4*a)))*(((a*a**(2\/7))\/a*a)\/a*a)\/a*a\/(a*a\/(a**(1\/6)\/a)*a*a)) assuming a is positive.\nAnswer: a**(9841\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 300 - 390. What is the common denominator of -109\/48 and 15125\/(-726)*(98\/h + 1)?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -87885847059384.\nAnswer: -87885847059385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxnuuzxxuxunznxuxuux. What is prob of picking 1 n and 1 z?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 0*c - 87. Let k be (-4 + -16)\/(2\/c). Let m = 4352\/15 + k. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (26 - (48 - 17)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-9 - -1) + 17 - (5 + 30).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/60492 and -5\/852?\nAnswer: 60492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*q + q - 11, -4*q - 4*n - 20 = 0. Is 14\/(-4)*-262 - (q + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -14. Let u(r) = -r**2. Let d be u(3). Let o = d + y. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15\/((-75)\/(-310)))\/2. Let l(o) = -98*o + 30*o + 33*o + y*o. Let b(i) = -11*i. Give b(l(m)).\nAnswer: 44*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-23)\/(q**(-13)\/q)*((q*q**(-8\/11))\/q)**(-7\/5))**(-5\/7) assuming q is positive.\nAnswer: q**(439\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 222589569 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**4 - 6735*i**3 - 1055230*i**2 = 0. What is i?\nAnswer: -1166, -181, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 628016016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*c**3*h*v + 577*c**3*h - 270*c*h + 6028*c*v wrt v?\nAnswer: 16*c**3*h + 6028*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 2. Let y = -109 + 113. Put 2, y, t in ascending order.\nAnswer: t, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-52) + (-1218)\/1624.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218, 286, 392, 530, 694, 878?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2204?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 24*o = 34 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2 - 340\/(-24)) + -2 and 13\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 2*n**2 + 2*n**2)*(2*n**2 - 3*n**2 + 0*n**2) + n**4 + 3*n**4 - 5*n**4.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 11:39 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwyrywpwwpwprwwyp. What is prob of sequence rww?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5096\/3 (b) 0 (c) -3\/8 (d) -0.2 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12723978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o - 2. Let c = 236 + -245. Let u be (6 + 17\/(-3))*(-3 - c). Determine s(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + 0.01. Let s = -10.96 + p. Let m = s - -3. Which is the third smallest value? (a) -1 (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358955 to the power of 1\/2, to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51114?\nAnswer: 2, 3, 7, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 - 84*s**2 - 309*s - 3011. What is i(-39)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5682*i**3 - 2634*i**3 + 26712 - 26712 - 3938*i**3.\nAnswer: -12254*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2267, -4167, -6049, -7913, -9759?\n\"Answer: 9*h**2 - 1927*h - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1811 (base 10) in base 4?\nAnswer: 130103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2617?\nAnswer: 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-3\/5))\/i*i*i)\/i)**39 assuming i is positive.\nAnswer: i**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(10)\/sqrt(2) + sqrt(20) + 5)*-3 - (sqrt(560) + 1*sqrt(560))\/(sqrt(252)\/sqrt(4)))**2.\nAnswer: 350*sqrt(5) + 8150\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(8\/(-12) - -1). Let z = n - -1. Suppose -z*r - 1137 = -6*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*167396*(4 + (-763)\/28). Suppose -2*s = -a - 41124129. What is s rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 + 2*o + 3. Suppose g - 3*t = 21, 2*g - 3*g = -5*t - 19. Suppose 7*c + g = 10. Give l(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -7, 0.6, 4, -1, -3.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.38934 grams in tonnes?\nAnswer: 0.00000838934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/7 or 5\/3?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/7*q + 1\/7*q**3 + 5\/7*q**2 - 5\/7*q**4 = 0. Calculate q.\nAnswer: -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 4)*(-1)\/(-3). Let r = v + 3. Suppose -r*n - 4*t + 202 - 46 = 0, -4*n = -5*t - 138. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 215*k**3*o**3*p + 46260*k**3*o*p - 17844*k**3*p - 11*k*p - k - 2*p with respect to o.\nAnswer: 645*k**3*o**2*p + 46260*k**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26828 and 471922?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -214*q + 69*q + 69*q - 7*q**2 + 76*q + 9*q**2. Let m(j) = -2 - 41*j**2 + 1 + 0. Calculate w(m(u)).\nAnswer: 3362*u**4 + 164*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 + -16050.08476?\nAnswer: -16051.48476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(72) + sqrt(2) - (sqrt(2) + 3*(sqrt(2) + -2) + sqrt(2) - sqrt(2))**2) + ((sqrt(2) - (-1 + sqrt(128)))**2 - (1*sqrt(2) + 4)).\nAnswer: -320*sqrt(2) + 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 3)*(2*i - 5*i - 2*i) - 2*i + 0*i + 3*i + 2*i + 0*i + i + 2*i - 3 + 3)*(-13*i**2 - 9*i**2 + 11*i**3 - 2*i + 21*i**2).\nAnswer: 176*i**4 - 16*i**3 - 32*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 + -16. Let u = -350 + 437. What is the remainder when u is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r**3 + 1482*r - 1482*r - 96*r**3.\nAnswer: -78*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6 + 6. Let j(b) = 0*b - 5*b + t*b + 1. Determine j(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.158 + 0.097. Let j = l + 4.561. Round j to one decimal place.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 2*i**2 - 1. Let n(m) = -37*m**3 + m**2 - 3. Let o(q) = -n(q) + 2*w(q). What is the hundreds digit of o(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 9*z**2 + z - 8. Let u(d) = -3*d**3 + 21*d**2 + d + 2. Let y be u(7). Determine h(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003501 to 4 dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 2*a - 4*a)*((1 - 5 + 3)*(-4 + 1 + 2) + 11 + 43 - 5 + 4 + 3 - 18) as o + d*a and give d.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 4*r + 16*r**2 + 6*r.\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 + -10 - (-26)\/(-4). Which is bigger: j or -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 19*a + 1. Let t be q(-1). Let r = -118069 + 118074. What is the third smallest value in r, -1\/2, t, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8505*-13.\nAnswer: 110565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + ((-33)\/4)\/(144\/(-96))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1122863272 + -1.521\nAnswer: -1122863273.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 5 - 13. Calculate the smallest common multiple of a and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 = -15*a + 27*a. Suppose -48*u = -a*u + 632. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a (base 13) to base 15.\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*v + 29, 2*i - i + 5*v = 24. What is the nearest to 0.1 in -1\/2, i, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 275625065 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -306\/3894383 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5 - 26*c**4 - 90*c**3 + 1010*c**2 - 2072*c + 1176 = 0. What is c?\nAnswer: -7, 1, 2, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 416, 880, 1332, 1766, 2176, 2556, 2900?\nAnswer: 3202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009589 is divided by 655.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 + 6.1. Let n be -7 - (-7 + 4 + -3). Which is the nearest to n? (a) -0.1 (b) v (c) 0.03 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 114\/10 - 8\/20. Let b(s) = 16*s + 4. Let l be 316 + -324 - (-5)\/((-5)\/(-6)). Let o(p) = 3*p + 1. What is l*b(n) + y*o(n)?\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 305500 divided by -7\nAnswer: -305500\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 8\/5*g**2 - 4\/5*g - 4\/5*g**3.\nAnswer: -4*g*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*o - 150971, 0 = -3*t - 18*o + 20*o + 150973. Let i = 96332 - t. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 2\/7, 3\/704 in decreasing order.\nAnswer: 2\/7, 3\/704, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -4. Suppose 4*b - 21 + 5 = q. Suppose 0*y + b*y = 0. Solve 8 = 4*p - y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**3 + 5*p**2 - 5*p + 1. Let z be m(2). Suppose 9*o - 992 = 2707. Let s = z + o. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/4)\/(17\/(-68)))\/((-2)\/(-32))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35021 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: In base 13, what is -161 - 22?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5501 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 24, 2 in decreasing order.\nAnswer: 24, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12123 divide 5179259887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -29*n + 15. What are the prime factors of m(-16)?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2061 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 5*y**4\/8 - 22*y**2. Let f(q) be the third derivative of -q**4\/12 + 3*q**2 - 119. Calculate p(f(r)).\nAnswer: -30*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1795353 and -0.2.\nAnswer: 359070.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(448) + 2*sqrt(448))*2)**2*-6*5.\nAnswer: -12096000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9 + 8)*(1 - 5))\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 96 - 6*i**2 - 40 + 19*i**2.\nAnswer: 13*i**2 + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 64256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16432938*b - 17113169 wrt b.\nAnswer: 16432938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 - 3*j**3 + j**3 + 1135*j - 2*j**4 + 3*j**2 + 55*j + 3*j**3 as n + d*j + b*j**2 + w*j**3 + x*j**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 217635 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16375 divided by 419\nAnswer: 16375\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -3. Find the common denominator of -1\/18 and n\/15 + (-349)\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five eighths of a milligram in micrograms?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0*j**2 + 3*j**2 + 41*j + 5*j - 45*j + 2. What is n(-4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(204) - sqrt(204))\/(-3*sqrt(48) - sqrt(12)).\nAnswer: -11*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 18*c + 18. Let j(l) = -16*l - 19. Let v(h) = 4*j(h) + 3*s(h). Calculate the lowest common multiple of 38 and v(-3).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.77, 5, 2\/3, -17 in ascending order.\nAnswer: -17, 2\/3, 3.77, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**3 + s**2 - s. Let j be t(1). Let b(k) = k**3 + 5*k**2 - k - 4. List the prime factors of b(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.6 + -5.33. Let r = -1.7 - g. What is the second biggest value in 5, r, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369 and 3567.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354853 = -2402*h - 1355*h + 1130*h + 39613 for h.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**3 + 9*o**2 + 8*o + 34. Let m(v) = 9*v**3 + 18*v**2 + 15*v + 68. Let g(t) = -3*m(t) + 7*u(t). Let d be g(-6). Which is smaller: d or 77?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -67\/2. Let p = -15 - -13. Let l = -0.05 - -0.15. What is the nearest to -0.1 in p, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 102475?\nAnswer: -102472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14145701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-1 + sqrt(117))*-4 - sqrt(117)*-1*-2))**2.\nAnswer: -3600*sqrt(13) + 105700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4248)\/(-162) - 2\/9. Suppose -3*s + 65 = -2*s. What is the greatest common factor of a and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 5. Let j(k) = k. Let h = 7 + -3. Let q(y) = 2 + 2*y**2 - y**2 + h*y - 4. Determine t*q(d) + 4*j(d).\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -17*b - 45. Let a be o(-3). Suppose 2*p = 5*q + 100, -a*q + 116 = 3*p - 5*q. What is the least common multiple of 15 and p?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.01 - 0.01. Let w = -2.05 - -0.05. Let u = 41\/30 - -2\/15. Which is the third biggest value? (a) u (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/93? (a) -3\/14 (b) -3 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*n + 342, -6*v = -3*v - 6. List the prime factors of n.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69927645 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 15 = -5*q, -10*q - 17 + 5 = 4*c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 3174.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -299, -3 in descending order.\nAnswer: -2, -3, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -200220.4154 to the nearest 1000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69300\/(-12375))\/(12\/225)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 382 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - 46.9. Which is the nearest to -3? (a) -3\/2 (b) 2\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/50 of a minute?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 4*g + 120. Solve -3*d - 22 = -2*d + 5*i, -5*d + 5*i = -g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:27 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 74216511?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57\/28 + 15\/28. Suppose 4*s - s + 2*l + 29 = 0, 40 = -4*s - 3*l. Let z(c) = -c**3 - 8*c**2 - 6*c + 6. Let y be z(s). Which is bigger: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100001 (base 2) to base 11\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2304*f - 33 = -2315*f. Calculate the highest common divisor of f and 353.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*p - 13. Suppose 280 = -p*s + 15*s. Suppose 25*m = s*m - 48. Calculate the remainder when 93 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16439, 16440, 16441?\nAnswer: 16442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -380, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2. Let c be (-1)\/(11\/(-10) - -1). Let u = c + -12. Determine l(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.138378*-520\nAnswer: -71.95656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1869140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -634157\/321570 + 704\/397. What is the common denominator of u and 11\/30?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + -7 - -4) + 6. Suppose -b = 4*i + 1, -5*a + 45 = -5*i. Solve f - a = -m - f, 6 = 3*m + f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 21*h**2 - 120*h - 36 = 0.\nAnswer: -2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 689245597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 283144684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, o: 1, s: 1, r: 3, b: 3, z: 2}. Give prob of sequence asaz.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -561 + 160615?\nAnswer: 160024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023243871 to 5 decimal places.\nAnswer: -0.02324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**2 + 3*y + 4. Let u(t) = 1 + t + 4 + 3*t. Let a = 970 - 966. What is a*u(d) - 7*w(d)?\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 192*b + 3072.\nAnswer: 3*(b - 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 19. Let b = 1 - q. Does 12 divide 1*(-2 + 1 + b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -617 (b) -74\/9 (c) -3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-294)*-7)\/(600\/(-140)))\/1?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 133.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -940 by -4.\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h. Let b be t(9). Let x = -3 - b. Suppose a - x = 6. Solve -4 = -4*r + 2*r + 3*p, -a = -2*r - p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 - c**2 - 3*c - 4. Let n be r(4). Calculate the greatest common factor of 24 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128 - -129. Put -3, k, -2, 0 in descending order.\nAnswer: k, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1231892892 is divided by 8102?\nAnswer: 8098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 18872.1251 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10522453?\nAnswer: 239, 44027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -62, 874, 3, 0.1, -1\/3, -2, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 4*d - 3. Let q be j(4). Let u = 2 - -3. Suppose -v - 2*i = 3*i - q, 4*v - 2 = u*i. Calculate the smallest common multiple of 11 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 11 = -k. Which is the nearest to 0.2? (a) -1\/6 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 16) in base 12?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2112514*z + 96760127?\nAnswer: 2112514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4222219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000026021 rounded to six decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3.7 times 14498\nAnswer: -53642.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 3*f = 75. Let m be ((-5)\/(f + 5))\/(1\/72). Suppose -7*v + m = -62. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 - 285.\nAnswer: -285.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2. Let s(v) = 1. Suppose -2*l + 12 = 2*a, 3 = 2*l - 7. Give a*s(b) + 2*w(b).\nAnswer: 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 846 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-2\/5)*z)**(-2)*(z**(-2\/7))**(1\/30)*(((z**(-1\/4)\/z)\/z)\/z*z\/((z*z**(2\/17)*z*z)\/z))\/(z**0)**11 assuming z is positive.\nAnswer: z**(-15961\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 192\/(-165) + -24*(-4)\/120\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 18 = 0, -5*l + 4*u = -218 + 192 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1404740 (base 8) to base 14\nAnswer: a4316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 4*s + 404, o - 4*s - 100 - 126 = 0. What is the remainder when o is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.1221, -0.4 in descending order.\nAnswer: 0.5, -0.1221, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**2 - 3. Suppose 5 = -b - 2*n, 0*b + 4*b + 13 = -n. Let f(k) = -k**3 - 4*k**2 + k - 2. Let m = -3 + 7. Let a(g) = b*z(g) + m*f(g). Factor a(s).\nAnswer: -(s - 1)*(s + 1)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.41 - 1. Let m = -0.409993 + l. What is m rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/11)\/x**(16\/7) assuming x is positive.\nAnswer: x**(-169\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 + 136*y + 2*y**2 - 5*y**4 - 136*y + 2 + y**3 as d*y**4 + k + h*y + a*y**2 + g*y**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.5442718 to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 660\/(-77) - -11 - 3\/7. Suppose 2*d - 10 - 30 = 0. Suppose -5*h - s + 25 = 3, n*s - d = -4*h. Solve -3*w = -3*b - 6, -h*b - 10 = -3*w - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t + t + 7*t + 5019 - 5019.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 + 2.14. Let t = r - 3. What is the closest to t in 3\/7, 2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-1100.29\nAnswer: -330.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 8:59 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1851.9818 - 1553.22. Let i = j - 309.761776. Let k = -11 - i. What is k rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (0 - -7 - (10 - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 11:57 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006337 to six decimal places.\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28936 is divided by 562?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 222\/5*i + 0*i**2 - 2\/5*i**3 + 44 = 0.\nAnswer: -10, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33927 is divided by 164.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**2 - 3026800*f + 69617458 = 0?\nAnswer: -1513423, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -889, -891, -893, -895?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 518603 and 338?\nAnswer: 175287814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m. Let n be v(-3). Suppose n*p + 2*p = -2*i + 45, p = 3*i - 25. Which is the third biggest value? (a) i (b) 3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f - f**2 + 0*f + 2*f**2 + 5. Let q be v(5). Factor -5*r**3 - 4*r**4 - 4*r**4 + 2*r**3 + 2*r**q + 11*r**3.\nAnswer: 2*r**3*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25027.\nAnswer: 29, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 27 (b) 2\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 16 = 4*v, -v + 3*v = -4*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116175 divided by -5.\nAnswer: 23235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -21. Suppose 6*h - h - 20 = s. What is the derivative of -5*z**2 + 0*z**2 + z**h + 5*z**2 - 3 wrt z?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((6 - 3) + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6700 less than -18?\nAnswer: -6718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-19)\/62)*-4. Let r = u - -617\/124. Calculate the common denominator of r and (-14)\/32*(-6)\/(-9) + -1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 18 - 2 + 0 + 17741*k - 3 - 17743*k. Let a be (-3)\/(-3 - (-24)\/9). Give p(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 1335957862082.26?\nAnswer: 1335957862081.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 1\/2*m**2 + 1\/12*m**4 - 5\/6*m**3 + 0 - 3*m. What is a(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3 - 2 - 6 - 9*j**2 in the form m*j**2 + p*j + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*i - 32 + 2, -5*i - 5 = 0. Let k(c) = -c**3 - 23*c**2 + 3*c - 195. Is k(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03637925 rounded to 4 dps?\nAnswer: 0.0364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -0.3, -2\/587, 4\/723, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**5\/20 + i**4\/12 + i**3\/6 + 5*i**2 + 6*i. Let x be v(0). Let w = 12 - x. Put 1, w, 3 in descending order.\nAnswer: 3, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -21. Calculate the highest common divisor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*j + 24 = f, -3*f = j + 19. Let q = j + 8. Let c(i) = -2*i + 2. Determine c(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 532073 - 3?\nAnswer: 532070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25.17 and 0.4.\nAnswer: -10.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*g - 111 = 51*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -24. Let j(w) = -2*w + 2 - 6 + 3. Let p be j(-2). Calculate the highest common factor of p and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 4 (c) -2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22552*d + 11280*d + 11278*d - 46.\nAnswer: 6*d - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 8:18 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000222021000 - 2?\nAnswer: 1000222020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - -11 - 0) + -3. Factor -5\/4*d - d**2 - 1\/4*d**n - 1\/2.\nAnswer: -(d + 1)**2*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47143 - 1320223\/28. Let z = s - -29\/4. Put -0.1, z, 2 in descending order.\nAnswer: 2, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b + 450 = -26*b. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2484 divided by -3.\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17286197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(15\/2)*(-4690)\/469*(-3)\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/11*n - 6\/11*n**2 + 0 + 2\/11*n**4 - 8\/11*n**3.\nAnswer: 2*n*(n - 3)**2*(n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1200) + 3*(-4 + sqrt(1200)) - (0 + 3*sqrt(1200))))**2 + 2.\nAnswer: -480*sqrt(3) + 1346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 != -0.2272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*o**3 - 57*o**2 - 12*o - 112 wrt o?\nAnswer: 96*o - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5848639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.336896l to millilitres.\nAnswer: 1336.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 + 9*g - 1. Let o(m) = -10*m**2 + 28*m - 4. Let a(x) = 2*o(x) - 7*z(x). Let k be (-4)\/22 - 707\/(-77). Does 9 divide a(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/23 (b) 0.03 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (2 - (-5 - -2))) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, e: 4, p: 5, t: 1, u: 2, n: 1}. What is prob of picking 1 e, 1 w, and 1 p?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 783916 to the power of 1\/2, to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 - 583 = -12*a. Suppose -a = -5*n + 7*n. Let i(w) = w**2 + 15*w - 41. What is the hundreds digit of i(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -1.7, -2, -0.4, -0.07?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*u**3 - 105*u**3 + 60*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a*a*(a\/((a*(a**(-2\/9)*a)\/a)\/a)*a)\/a))\/a)\/a**9 assuming a is positive.\nAnswer: a**(-101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-2)*-1*(-36)\/(-18). Sort 12, 5, m in decreasing order.\nAnswer: 12, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1863*l + 128. Is p(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m**4\/5 + 20*m**3 - 146*m**2\/5 - 12*m = 0. What is m?\nAnswer: -1\/3, 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 67510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**4\/20 - 2*s**3\/5 + 32*s\/5 - 5394. Factor b(k).\nAnswer: (k - 4)**2*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7676862 centuries to decades.\nAnswer: 7.676862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 11:22 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 183.9 - 175.21. What is p rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.2. Let t = 5858 + -5855.4. Are i and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, 2, 0.1, -0.5, 1\/32, 1\/2.\nAnswer: -0.5, 1\/32, 0.1, 0.14, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**49\/(m**0*m*m)**(10\/11))\/(m**(2\/3)\/(m**(1\/3)\/m)*(m**(-1))**(1\/17)) assuming m is positive.\nAnswer: m**(-1735\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 223*m + 227*m - 458*m.\nAnswer: 2*m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -5881.\nAnswer: 29405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 211\/4 - 53. Let f = -2 - 1. Which is the closest to 1? (a) 0.5 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7581\/5 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7))**(-42) assuming r is positive.\nAnswer: r**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.9046404+-128363112\nAnswer: -128363112.9046404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3555ba (base 13) to base 7\nAnswer: -13532511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(7) + sqrt(7)*4 + (-4 + sqrt(7) + sqrt(7))*5 + 2 + 2 + sqrt(847) + -2*sqrt(847))**2.\nAnswer: -104*sqrt(7) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4609, -36668, -123699, -293188, -572621, -989484, -1571263?\n\"Answer: -4581*p**3 + 8*p - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 25.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -1\/4 (c) 4 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12726612.544 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.82 + 0.18. Sort -2\/7, x, -0.4 in descending order.\nAnswer: x, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 + c**2 + 2*c**2 + (1 - 1 + c)*(2*c + 4 - 4) - 2*c**2 - 4*c**2 + 2*c**2 + 0*c**2 - 3*c**2 + 7*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1872369.\nAnswer: 3, 31, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 221 divided by -73\nAnswer: -221\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -12. Let x = 8 + l. Let q = 68 - 67.9. Which is the third smallest value? (a) -3 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1497.4 + -1492.4. Let g = 0.8 + 5.2. Sort 1, g, l, 3\/4 in ascending order.\nAnswer: 3\/4, 1, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -43 - (11 + -36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxjjxgggggggjgvggjg. Give prob of picking 1 j, 2 g, and 1 v.\nAnswer: 275\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -84.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/(-24) - (-22)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**0)\/f*f)**37\/(f**(2\/13)*f*f\/(f**(-1\/2)\/f*f*f)))\/(((f**(3\/4)\/f)\/f**(-4\/7))\/((f\/((f**(3\/5)*f)\/f*f))\/(f\/(f**(-1)*f)))) assuming f is positive.\nAnswer: f**(60833\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-286)\/104 + (-2)\/8)*20\/(-15). Sort 12, v, 1\/5, 32, 1 in decreasing order.\nAnswer: 32, 12, v, 1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836861712?\nAnswer: 2, 3, 17434619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41244312 - -333?\nAnswer: -41243424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*k**2*p**2 - 2007*k**2*p - 3*k*p**2 + 7*k + 344*p + 4 wrt k.\nAnswer: -18*p**2 - 4014*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3852 + 3851.98079. Let r = 0.0219 + o. Round r to 4 decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 4*m + 0*m)*(-20725 - 22990 + 18281 - 31509).\nAnswer: 113886*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(2*sqrt(147))**2 + 5 + ((1*sqrt(882))\/sqrt(6) + -4*sqrt(9)\/sqrt(3)*4)**2.\nAnswer: -3276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 197*r**2 + 570. Let z(c) = 15*c**2. Give j(z(d)).\nAnswer: 44325*d**4 + 570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 555 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 6)*(-8*g + 7*g - 12 + 30).\nAnswer: 5*g - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53184 and 524638.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 144334 or 144543?\nAnswer: 144543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 656 + -643. What is the closest to -1\/3 in -3, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 4) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14148.655 rounded to the nearest 10?\nAnswer: -14150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35220 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586238 is divided by 1145?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -44356295.14 plus -53.32?\nAnswer: -44356348.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 643 divided by -45\nAnswer: -643\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 92\/22 - 2\/11. Suppose -228 = -19*v + 57. Suppose -28 = -v*q - 73. Put -26, q, m in descending order.\nAnswer: m, q, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*l - 52493 = -49685 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594 + 601 - 1195 - 1031*f.\nAnswer: -1031*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - -2201100011110102?\nAnswer: 2201100011110222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -142, -120, -96?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s - 2. Let d(w) = 4*w - 3. Let a = -4 + -3. Let f = a + 11. Give f*d(h) - 5*j(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**8\/120 + o**4\/24 + 52*o**3\/3 + 79. Let p(c) be the third derivative of n(c). What is the derivative of p(k) wrt k?\nAnswer: -56*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 20*d + 10 = 0, -3*x = -2*d - 40. What is the least common multiple of x and 158?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*k = 132*k - 80*k + 581003. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-8))\/(5\/10). Suppose -f*o = 12, -40 = 3*g - 7*g - 5*o. Which is bigger: 0.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 a factor of 2553433274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 369 + 361 + 23*d - 1095 + 371 - 2*d**2 - 2*d**2 to y*d + s + c*d**2 and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/(11\/1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-91 - -90)*(-3)\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 8935?\nAnswer: -8938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2))**39\/(j\/(j*j**(-2\/3)))**11 assuming j is positive.\nAnswer: j**(329\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-16)*76\/114\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w = -35*w - 15. What is the nearest to 0 in 3, w, -7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 43 = u, 4*l - 10*l + 54 = 2*u. Solve 0 = u*z - 3*t + 5*t - 13, 5*z - 4*t = 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6574*j + 6661*j = 1566 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 11:24 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 60a2?\nAnswer: -60a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 8. Let p = -4 + 4. Suppose p = 2*o + 3 + 1. Put o, j, 3 in ascending order.\nAnswer: o, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30\/143? (a) 1\/9 (b) 0.4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -39590000 to the nearest 100000.\nAnswer: -39600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2 - (-2)\/8. Let h = 0.024 - 0.124. Sort h, -5, q in descending order.\nAnswer: h, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41752e - -8?\nAnswer: -417526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + s**2 - 4*s. Let m be o(-3). Let f be (-6)\/9*1*m. Let a be f*(15\/12 - 0). Solve 5*p + 16 = -4, 3*q = -a*p - 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 0*g**2 + 3*g**2 - 5*g**2. Suppose -p + 15 = 4*n, 2*n = -5*p + 7 + 14. Let d(x) = 3*x**2 + 2*x**2 - 7*x + 2*x. What is p*d(t) + 8*z(t)?\nAnswer: -t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 + u**2 - 1. Let z be n(-1). Suppose -v - 2*i = 0, -z*v + i = -2*v - 6. Suppose 33 = 7*s + v*s. Solve -s*l + 0 - 6 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.15 (b) -2 (c) 6753\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 94 = -23*m. Suppose -g - 6 = r, m*r = 5*r + 5. Let o = 2.65 - 3. Which is the nearest to g? (a) -1 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4782*r. Let o(g) = 2*g + 4. What is o(u(p))?\nAnswer: -9564*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rss when three letters picked without replacement from {r: 2, f: 4, s: 1, w: 3, b: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v - 4. Let i = 18 + -18. Let d = i - -10. What is the smallest common multiple of a(-1) and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001099 rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -7. What is the third smallest value in -3, -0.09, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -13*z**6\/720 - 3*z**5\/16 - 3*z**4\/8 - 8*z**3\/3 + 211. Let b(t) be the third derivative of j(t). Factor b(u).\nAnswer: -(u + 3)*(13*u + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 769629 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-77) - 92\/(-56)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2209 = 2*f + 2195, -9*s = -f + 7 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g = 22*g - 9, 4*m - g + 7 = 0. Sort 4, 823, m.\nAnswer: m, 4, 823","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 7:34 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8181 + -88.8181. Let d = 142411 - 142322.9981. Let l = d + g. Round l to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -45, -141.6?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 33*c**2 + 1981*c + 106. Give a(-60).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i*i**(-1\/7)\/i*i)\/i**2 assuming i is positive.\nAnswer: i**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - x + 13 = 0, 5*r = 2*x - 16 - 16. Let l be (r\/30)\/((-6)\/10). Sort l, 2\/15, 1, -0.4 in descending order.\nAnswer: 1, l, 2\/15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -3*k - 3, 5*k - 145784 + 145759 = 5*s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 8661 and 112578\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6 + 1148\/19152*12.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 18 + 139*r - 41*r - 46*r - 50*r. Give w(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.082, -0.03, 2\/15, 2\/9, -25 in descending order.\nAnswer: 2\/9, 2\/15, 0.082, -0.03, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146778 and 189074.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1279170*c**5 - c**4 - 2*c**3 - 25084469*c**2 wrt c.\nAnswer: -76750200*c**2 - 24*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-22)\/4)*((-70)\/(-770) + 16\/308)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwxwwwwwwwxxwwwww. Give prob of picking 3 x.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9487.084 weeks to microseconds.\nAnswer: 5737788403200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -j - 5*v, 2 = j + 4*v - 10. Solve 18*f = 19*f + j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 12:09 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 261535 and 475?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 6. Let o be b(-8). Suppose -3*q - x = -7*q + 10, -o*q + 4*x + 12 = 0. Let i = 1 + 2. Solve 0 = -2*m + m - q*z - 5, -4*z - 9 = i*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.9888 - -13. Round y to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(2\/(-10 - 0)). Let t(v) be the first derivative of -v**5\/120 - 5*v**4\/24 - 8*v**3\/3 + 8. Let u(w) be the third derivative of t(w). Determine u(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-59*1\/(-3))\/(38\/570)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, l: 5, g: 3}. Give prob of picking 3 g and 1 j.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + (-30)\/(-9))*6. Is z\/14 - (-220)\/7 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10664 is divided by 3441.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (6 - 3)) + -12 + 17 + -23.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + u**2 + 0*u + (25 - 2*u - 25)*(u - u - 3*u) + 5*u**2 + u**2 - 4*u**2.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 - 61*h**2 - 29*h + 30. Let q be g(-30). Which is the closest to -1? (a) -4 (b) q (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4.076348mg?\nAnswer: 0.000000004076348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -1, -83, 1, -3, 23.5 in increasing order.\nAnswer: -83, -3, -6\/5, -1, 1, 23.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -854, -0.9, -2\/35, -3, -5?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**4\/24 - 35*w**3\/6 + w**2 - 53. Let n(g) = -2*g - 4. Let t(m) = m + 1. Let s(p) = n(p) + 4*t(p). Determine f(s(y)).\nAnswer: -2*y - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.63*0.008\nAnswer: -0.00504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5016, -11039, -18064, -26091, -35120, -45151, -56184?\n\"Answer: -501*c**2 - 4520*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a centimeter in micrometers?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at least as big as -3\/918121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 - -0.13. Which is the nearest to 2? (a) -4 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121021 (base 3) to base 8.\nAnswer: -667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 49*z**4\/4 - 3*z**2 + 7728*z - 7269. Find the first derivative of j(f) wrt f.\nAnswer: 147*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 2, u: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 2*t - 11)*(-7*t**2 + 550*t**2 + 95*t**2).\nAnswer: -1276*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1025405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 223*s + 1476. Calculate m(118).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 2:36 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56.8 + -349.8. Let j = t + 293.00000161. What is j rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06957438 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28388 and 241392.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 7*u - 5. Calculate p(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 121, 174, 223, 268, 309, 346?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15697096*c**3 - 654694*c**2 wrt c?\nAnswer: 94182576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 448.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 173.9483 to one dp.\nAnswer: 173.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.62 - 14.62. Let n = f - -15. What is the closest to n in 0.4, -2, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 914 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 143.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 7:01 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 + -124. Suppose -2*g + 0*f = 2*f - 12, -5*f - 70 = -5*g. Calculate the smallest common multiple of g and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h = 6. Suppose 13 = h*x - 65. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1344*n**2 + 6. Let c(j) = -17*j. What is p(c(s))?\nAnswer: -388416*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -715 + 715 - 24*d + (-2 + 1 - 1)*(0*d - d + 0*d).\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 3*h**2 - h. Let m be z(3). Let g be (m + 4)\/(1\/(-83)). What is g rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 - -66. Suppose -3*u = -n*u - 2. Let a be (1 - 3\/u)*2*-1. Solve 5*v + 4 = -a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1133.5 - -1133. Which is the second smallest value? (a) 6 (b) -0.1 (c) -7 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. Let s(c) = c + c - w*c. Let b(j) be the first derivative of -j**4\/2 + j**3\/3 - 5*j**2\/2 - 45. Give b(a) - 3*s(a).\nAnswer: -2*a**3 + a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 326*u**2 + 1303*u. Let w be x(-4). Solve -14*h + 20 = -10*h, 5*i + w*h = 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.26 + 5.26. Let q = -127 + 126.9. Put q, 4, 1\/3, p in increasing order.\nAnswer: q, 1\/3, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1044 and -193\/228810?\nAnswer: 1372860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(768) + 1 + 1 + sqrt(768))**2 + -5 + (-3*sqrt(144)*1)\/sqrt(12).\nAnswer: -9233 - 390*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1310442 + -242?\nAnswer: -1311234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 48. Suppose -b + s = -1. Solve b*v + 7 = -3*j, -1 = 2*v + j - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*s**3 - 905*s**3 + 11*s**3.\nAnswer: -697*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1838 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/1973 - 187579\/94704. Calculate the common denominator of 109\/12 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d*r**3 - 53*d*r - r**2 - 2 wrt r.\nAnswer: 36*d*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -765, -13, 48 in ascending order.\nAnswer: -765, -13, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 729378244 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1207 - 1211. Let w = 0.438 + -0.438. Which is the smallest value? (a) 1.4 (b) -3 (c) w (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 1:50 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 524498827 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 54*u - 2*u**2 - 54*u. Let k(p) = 4*p**2. What is i(k(z))?\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943760 is divided by 1139.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/2039284 and -79\/14.\nAnswer: 14274988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.054*7.8.\nAnswer: -0.4212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 19 + 49 + 53)*(-c + 4 - 4) to the form b*c + l and give b.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -1\/40*t**6 - 1\/48*t**4 + 0*t**3 - t**2 + 0 - 1\/105*t**7 - 1\/30*t**5 - 1\/672*t**8 + 0*t. Factor q(p).\nAnswer: -p*(p + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00046979 - 152708.\nAnswer: -152707.99953021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 281 - 4*b - 302 - b. Let x be d(-9). Suppose -x + 4 = -4*i. Solve 5*q + i = -w, -2*q = -3*q + 2*w + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172*196.318\nAnswer: -33766.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/4*(3 + (-143)\/39). Solve -n*g = -2*m + 4, -30*m - 4*g + 28 = -26*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u**2 - 1 + 1)*(-2 + 3 + 0) - 144068 + 144068 - 11*u - 2*u**2)*(-8*u + 15*u + 19*u).\nAnswer: -104*u**3 - 286*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2222 (base 8) to base 4.\nAnswer: 102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111104 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 + 12826*m\/3 + 2219660\/3.\nAnswer: 2*(m + 178)*(m + 6235)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -4 + -14 + (15 - (-4 - -3)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times -0.8\nAnswer: -0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 3*d + 16, 0 = -4*q + 4*d + 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6971253761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 22. Let l(c) be the second derivative of m*c**2 + 2*c + 0*c**5 + 0 - 1\/15*c**6 - 1\/4*c**4 + 0*c**3. Find the third derivative of l(f) wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*(0 + sqrt(2057) + 0 + 2 - (3 + 2*(0 + sqrt(2057)))))**2.\nAnswer: 3168*sqrt(17) + 296352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10)*15\/18. Are w and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-15 - (-3 + -12 + 4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -35\/16, -0.3, -340?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2 + 65*w + 58. What is the tens digit of q(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 3410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -7220000*x**4\/3 - 108303800*x**3 - 342003*x**2\/2 - 135*x\/2 = 0.\nAnswer: -45, -3\/3800, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 856507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 49 - 10*i + 29 - 18*i**3 + 19*i**3 - 38 + 57 in the form b + x*i**3 + n*i + v*i**2 and give b.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 44 = -3*h, -x + 255 = -4*h + 185 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + (9\/(-27) - (-86)\/24). Suppose -259 = -21*p - 994. What is the closest to -2 in p, 3\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -19 + 23*g - g**2 - 20 + 9 - 14. Let b be d(20). Solve 5*p = -4*l + 23, 0 = -2*p - 2*l - 3*l + b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111.69 * 5\nAnswer: -558.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 2:06 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -1)\/((-4)\/(-16)). Suppose -u*v = 2*m, -m = -5*m - 5*v + 9. Let l(g) = 5*g - m*g**2 + 2*g + g**3 - 5 - 2*g. What is l(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 42. Let v be (-4 - -23)\/(2\/(-14)). Let t = v + 198. Calculate the remainder when t is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3337194433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.46768 rounded to one decimal place?\nAnswer: -28.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*s**3 - 79*s**3 - 110*s**3 + 294*s**3.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 11:12 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**2 + 2*h. Let c be n(1). Let s be (-24)\/(-14) + c\/(-7). Calculate the highest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9850450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -1, -10, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a tonne in kilograms?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9650 and 19300?\nAnswer: 19300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 2*n - 7. Let v be p(-7). Let d = 28 - v. Suppose 2*f - 1 - 26 = -l, -l + 2*f + 19 = d. Calculate the common denominator of -44\/7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1155262.\nAnswer: 2, 359, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2206900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 9:45 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/294*-3)\/(12\/(-42))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 308188, 616375, 924562, 1232749, 1540936, 1849123?\nAnswer: 2157310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105864236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 145 - 216. Let a = o - -70.99999967. Round a to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 15*c - 31. Let i be (1 + 2\/(-6))\/((-4)\/102). Let v be d(i). Let 2 - 1 + 3*o**4 + 8*o**2 - 2*o + 7*o**2 - 19*o**2 + 2*o**v = 0. Calculate o.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 11:48 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 114339316604?\nAnswer: -114339316608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91256808?\nAnswer: 2, 3, 31, 173, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.6 (b) -4 (c) 4 (d) 5 (e) 263 (f) 0.03 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/7)*p**(-4)*(p*p**(-2))**(-15\/4) assuming p is positive.\nAnswer: p**(-11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 31*n + 100. Let j be o(27). Put -3, -2, j in increasing order.\nAnswer: j, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18475 is divided by 303?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 215069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -3*h. Suppose -2*b + 7670 = -y, -6044 = -3*b + h*y + 5461. Let o = b + -46109\/12. Find the common denominator of o and -11\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 v, and 1 o when three letters picked without replacement from uuovyvvoovvuunvov.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 30 = 3*x, 5*x + 14 - 40 = k. Let d = -15 + 14. Let l be d - 0 - (3 + 1). Is l smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 18*o - 20*o - o + 4*o + 11*o. Let g(l) = -1149*l**2. What is r(g(p))?\nAnswer: -13788*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**4\/2 + 5*i**3 - 7*i**2 + 54*i - 7178. Determine z(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -100 > 278\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-270) - 241\/2410. Let a = -1 + 0.3. Let x = a + -2.3. Which is greater: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16469378859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139919069?\nAnswer: 3, 379973023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 0.045645.\nAnswer: -0.354355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*t**3 + 348*t**2 + 1864*t - 2220.\nAnswer: 4*(t - 1)*(t + 37)*(2*t + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17941*m = 17922*m + 114 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, z: 2, t: 12}. What is prob of sequence yyty?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*g + 393389, 3*y - g - 237521 = -1496. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djddddddjd. What is prob of picking 1 d and 1 j?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22.578529 - 7.421661. Let h = 30 + m. Round h to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12648131*u**4 - u + 6026498 wrt u?\nAnswer: 151777572*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38452 is divided by 4804?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001158485 rounded to 6 dps?\nAnswer: 0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1165*d**2*i**3 - 23180*d**2*i - 8881*d*i**2 + 9897*d*i - 9*i**2 wrt i.\nAnswer: 6990*d**2*i - 17762*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 5*s**3\/3 + 35*s**2 - 75*s + 106. Find u, given that a(u) = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 73 and -13314 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**5\/8 + 551875*f**4\/8 - 76152816523*f**3\/8 + 3121580633809*f**2\/8 - 4187188090595*f + 3806509544450 = 0.\nAnswer: 1, 20, 275917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**4\/7 - 72494*q**3\/7 - 7879124*q**2\/7 - 37583520*q\/7 = 0. Calculate q.\nAnswer: -36138, -104, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 997344 and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 32*q - 16 = -34*q, 3*q - 32 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 21*g + 30*g - 828308 = 0. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -14*x - 86. Determine s(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-1\/7)*r*r)*r*(r**(3\/7)*r)\/r*r)**(10\/3)\/((r*r**(-2))**(-2\/3))**(2\/29) assuming r is positive.\nAnswer: r**(1054\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i + 3. Let p = 11 - 4. Let o be g(p). Suppose -2 = -5*k - o. Sort 4, k, -1 in ascending order.\nAnswer: k, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1510.463523 rounded to the nearest integer?\nAnswer: -1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-640 - -646) + (-3 - 3\/(-5))\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 0*i**2 - 1\/5*i**5 - 2\/3*i**3 + 34 - 1\/45*i**6 - 11\/18*i**4 - 11*i. Let y(u) be the first derivative of x(u). Factor y(m).\nAnswer: -2*m*(m + 1)*(m + 2)*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2. Let v(s) = s**2 - 3*s + 532. What is v(h(z))?\nAnswer: 4*z**4 + 6*z**2 + 532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(85)*-1)\/sqrt(5) - (sqrt(272) + 1 - sqrt(17)*-1*-5))**2.\nAnswer: -8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v + 0*v - 32*v**3 - 2*v**3 in the form s*v**2 + c*v + o*v**3 + m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 1180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -14. Let d(v) = -v**3 - 10*v**2 - 12*v - 13. What are the prime factors of d(x)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -29, -6\/785, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -246533\/160 - -9245\/6. Let g(j) be the third derivative of 0*j - 3\/32*j**4 + 0 + 1\/6*j**3 - t*j**6 + 26*j**2 + 1\/40*j**5. Factor g(n).\nAnswer: -(n - 4)*(n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20 - 15 + 10*d**2 - 4*d**2 - 24 - d**3 - 2*d**3 wrt d.\nAnswer: -9*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3453 - 14c?\nAnswer: -35a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50c - 13bb?\nAnswer: -18ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 19*w + 87. What is n(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**2 - l**2 - l**2 + (0 + 0 - 1)*(2*l**2 - l**2 - 3*l**2) + (l + 0*l - 3*l + (-5 + 9 - 9)*(-2*l - 2*l + 2*l))*(-30*l - 90 + 90).\nAnswer: -236*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*((-6)\/45 + 55\/(-150)). Sort -1, -3, 3, b in decreasing order.\nAnswer: 3, b, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 43700295.\nAnswer: 9\/14566765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daadajdaydaddaada. What is prob of sequence yjd?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. Let k(a) = -w*a + 0*a + 2*a. Let y(z) be the third derivative of -z**4\/6 + z**2 + 16. Give y(k(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*j**2 - 10 + 10 - 3*j**2 + 4*j**2 + 0*j**2 + (-j + 0*j - 3*j)*(j - 5*j + 5*j) + (61*j + 7*j - 10*j)*(-2*j - 3*j + 4*j).\nAnswer: -54*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 303?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = 5*j, 5*y + 4*j = 6*j + 59. Let r be 6*2*1\/4. Suppose -4*q + 8 = 4*k, q = r*k + y - 29. Solve k - 10 = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -858\/5 - -172. Factor -c*n**2 - 6\/5*n - 4\/5.\nAnswer: -2*(n + 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/118734 and 125\/10794.\nAnswer: 118734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13530)\/(-143))\/6 + (-12)\/(-52).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*636.\nAnswer: 127.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/17)*c\/(c**(-1\/15)\/c))\/((c\/(c*c**11))\/(c*c**(12\/5)*c*c*c*c)) assuming c is positive.\nAnswer: c**(5174\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 + 4.07. Let p be (-295)\/118*(12\/(-65))\/3. Let b = -1 - -0.9. Sort b, p, t.\nAnswer: b, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116)\/58*-4*-2*2\/32.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111101 (base 3) to base 6.\nAnswer: -1401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 271360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.8 * -13.\nAnswer: -49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-10)*((-525)\/(-1155))\/((-8)\/220).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*c + 11, -5*c = -25*f + 29*f + 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2017 + 2006. Sort x, -3, 33, 0 in ascending order.\nAnswer: x, -3, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 5*s**2 - 4*s + 61. Let z(o) = 4*o**2 - 5*o + 60. Let r(v) = 4*l(v) - 5*z(v). Find the first derivative of r(g) wrt g.\nAnswer: 12*g**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 12. Let k be z(-10). Suppose -3*r + 4*r = -s + 14, -k*s - 38 = -4*r. Calculate the smallest common multiple of r and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109547213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 18*b**3 - 144*b**2 - 31*b + 241. Give d(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 159479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = m - 2*m. What is the highest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -8. Let x(n) = -n**3 + 14*n**2 - 34*n + 8. Let u be x(11). Which is the closest to -1\/4? (a) u (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21482, -87932, -198682, -353732, -553082, -796732?\nAnswer: -1084682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 7 - 8. Suppose -c + 2*f + 6 = 0, 2*c + 11*f - 9*f - 42 = 0. Solve -c = -n + s*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8296 and 204?\nAnswer: 24888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 divided by 3?\nAnswer: -116\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**3 + 2*d**2 - 4*d - 2. Let n be y(-5). Suppose -n - 102 = 5*q. Let f = -3614\/33 - q. Find the common denominator of 10\/3 and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 15 = 0, -3*j - 10 = -3*o - j. Suppose w = 12 - 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 n = -1.92 + -0.08. Suppose 54*g - 55*g = 0. What is the closest to g in 1\/12, 1, n?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 4, -3.\nAnswer: -3, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 7*o - 11. Suppose -7 = 2*y - 21. Let d be w(y). Is d bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 35 - 4*b - 90 + 29.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 267 + -99. Suppose -g = -4*m - 4*w, 4*m = 2*w + 48 + 138. Let b = m + -26. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -910, -3724, -8346, -14776, -23014, -33060, -44914?\n\"Answer: -904*t**2 - 102*t + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/42180 and 59\/77700.\nAnswer: 1476300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(5\/3)\/(x**(-6\/11)*x)*x**(-14)*x*x*x**14 assuming x is positive.\nAnswer: x**(106\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 201752 - 3?\nAnswer: 201747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/23*(-5)\/(-75))\/(2\/(-20)).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60897 is divided by 2866?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -743, -1483, -2245, -3041, -3883?\n\"Answer: -2*i**3 + i**2 - 729*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 - 90 + 384 - 97 - 101 - 181*t.\nAnswer: -181*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040414 rounded to four decimal places?\nAnswer: -0.0404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 1)*(-408 + 1122*k + 119 + 287 + 687*k).\nAnswer: 7236*k - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**4\/3 + 4*l**3\/9 + 4*l**2\/3 + 19. What is b in v(b) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 1.3038?\nAnswer: -0.26076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z + 5 = -40*z. What is the least common multiple of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 1 - (-252)\/(-21)) + -33*(-21)\/(-63)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*r - 3924 = 63*r + 90*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1104, -1103, -1102, -1101, -1100?\n\"Answer: v - 1105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + (sqrt(425) - (sqrt(425) + sqrt(425)*-2))*-6 - (-1 + sqrt(425))*4)**2 + ((sqrt(170)\/(-2*sqrt(10)))**2 - (sqrt(17) + -4*(2 + sqrt(17))**2)).\nAnswer: -585*sqrt(17) + 382917\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 95*c - 53. Let l be z(2). Differentiate 74 - 67 - g**3 + 49 + l + 20*g + 29*g with respect to g.\nAnswer: -3*g**2 + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 49*n - 100. Give u(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from xxuxxxeegbexg.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (60 - (53 - -8))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times -95.205649?\nAnswer: 1.90411298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 6. Let x = 10 - -3. Let z(g) be the third derivative of 1\/12*g**4 + 0*g + 0 + 2*g**2 - 13\/6*g**3. Determine x*n(u) - 6*z(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40713\/9500 + 333\/76. Find the common denominator of (-79)\/(-56) + (-2)\/7 and c.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-185)\/(-15) + 6\/(-1) - 6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1740 and -83\/661200?\nAnswer: 661200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0.8. Let x(j) = 59*j + 826. Let w be x(-14). Which is the nearest to h? (a) w (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 1:37 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*s - 5*s - 40, -4*s + 16 = 0. Let p = i - 4. Suppose -k + 2 = -2. Solve 0*n + p = -k*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -10. Let r = -4 + z. Solve -3*y + 7*y + c - r = 0, 12 = 4*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.2 (c) 1\/2 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31446.76 grams in micrograms?\nAnswer: 31446760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -11. Let w be (p\/21 - -1) + 0. Put -1\/3, w, -2\/15 in ascending order.\nAnswer: -1\/3, -2\/15, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -33*z**2 + 10*z + 2. Let u(l) = 560*l**2 - 175*l - 35. Let w(x) = 35*n(x) + 2*u(x). Let v(j) = 6*j**2. Determine w(v(a)).\nAnswer: -1260*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Suppose 4*h = 17 - 41. Let w = -25\/4 - h. What is the closest to -0.1 in w, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 10*b**2 - 12*b. Let i be l(8). Let x = i + -314. What is the common denominator of 4\/(-10) - x\/(-60) and -77\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/((-49)\/38675)*2. Round c to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-7) + 81\/126)*0. Solve h = -2*z + 21 - 19 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4) - 4724\/40. Let c = 119 + b. Which is smaller: -7 or c?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 386 = 5*m, -33*m - 74 = -34*m + y. What is the highest common divisor of m and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10545 + 21076. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 471, -974, -9, -3, 2 in ascending order.\nAnswer: -974, -9, -3, 2, 471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0 + 1\/60*x**5 - x**2 + 1\/24*x**4 + 8*x + 5*x**3. Find the first derivative of k(q) wrt q.\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 8*i = -12096. Is 32 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 7*w - 13*w)*(-2 + w**2 + 2 - 2 - w).\nAnswer: -6*w**3 + 6*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 9\/3 + -5. Let n be m*((-4)\/2 + 1). What is the third derivative of -4*x**4 + 4*x**2 + n*x**2 - 6*x**2 wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552064422 to the power of 1\/3, to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24992a (base 11) to base 12\nAnswer: 16ba5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -4. Suppose y + 4 = -2*b, -b = 2*y - s*y + 16. Suppose -y = -3*a - 1. Solve -3 = 4*d + a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = -q + 3, q + 5*h - 3 = 0. Let z(m) = -3*m**3 - 2*m**2 - 2*m**3 - 2 + 1 + 2*m + 6*m**3. Let v be z(2). Sort v, 0, q in decreasing order.\nAnswer: v, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32211101100 + 10?\nAnswer: 32211101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 4 = 26. Suppose -o*m + 20 = -76. What is the highest common divisor of m and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/4 and -117\/2281880?\nAnswer: 2281880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38\/21500483 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -77, -121, -165?\n\"Answer: -44*d - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*z + 5339502670 - 5339502670 + 15*z + 14*z.\nAnswer: 65*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, l: 4}. What is prob of sequence ll?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 101224?\nAnswer: 101224.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.34255838 rounded to 4 decimal places?\nAnswer: 1.3426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 594 + -593.8. What is the nearest to 1 in z, 0.1, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*g + 11639 - 1217 = -6050 - 4495 for g.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 378*x**6 + x**2 - 181*x?\nAnswer: 45360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/501 in 7, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 7. Let a(d) = 1. Let m be (-6)\/(-7)*(7 - 0). Calculate m*a(q) - x(q).\nAnswer: q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699 - 479 = 44*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*y + 281, 3*m - 463 = -5*y + 4*m. Let w be y\/9 - 4\/12. What is the greatest common divisor of w and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -h + 13, -267 = -22*h + 5*j + 58. Let d(u) = -u**2 + 16*u + 30. What is d(h)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2247016.\nAnswer: 2, 19, 14783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18850.3 less than -526553?\nAnswer: -545403.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -9 - 8) + 3. Solve 0*v + 1 = -s*v + 4*n, -3*v - 13 = 2*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -33*t**4\/2 - t + 1879. Let r(d) = -5*d**2. Give r(j(u)).\nAnswer: -196020*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 46623051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*y - 2*x - x, 32*y - 4*x - 15 = 39*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 1 - 10)*(43 + v + v - 44).\nAnswer: -4*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -6 - (1 + (-3 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12010002220 - 222221?\nAnswer: 12002002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9586, 38385, 86394, 153625, 240090, 345801, 470770, 615009?\n\"Answer: 2*j**3 + 9593*j**2 + 6*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/7 or -50.7?\nAnswer: -50.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3508, 3634, 3846, 4144, 4528, 4998?\n\"Answer: 43*n**2 - 3*n + 3468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 65\/774?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -602, -3170, -7442, -13412, -21074?\nAnswer: -30422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5.1 * 0.01\nAnswer: 0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/6 and -28\/225?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -212, -431, -734, -1163, -1760, -2567?\n\"Answer: -7*z**3 - 170*z - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66584\/(-72) - 6\/27. Let y = 937 + l. Solve 2*x + 4*c = -y, x + 0*c - 4 = 3*c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 1. Let g(b) = 2*b + 1. Let f(n) = -2*g(n) + 6*h(n). Let u be f(-3). Let s(i) = -2*i - 3. What is s(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 0 - (-1 - 1). Suppose -o*a = -29 - 41. Calculate the remainder when a is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 2*q + 165 = -26*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrcrccrcrrcrrrr. What is prob of sequence crc?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/9))**(24\/7)\/((b**5\/b)\/b**(-1\/3)))**19 assuming b is positive.\nAnswer: b**(-2033\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -a - 6*z + 11, -z + 44 = 4*a. Let p be 0*((8 - a) + 3 + -1). Solve p = -t + 1 - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -1282.09?\nAnswer: -512.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 10:38 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0 = -5. Let t = r - -1. Let l(c) = -c + 13. Is l(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 9. Let b be s(6). Suppose -b*r = -4*h + 3, 0*r - 4*r + 4*h = 4. Does 8 divide (-1 - (r - 2)) + 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 b, and 1 n when three letters picked without replacement from pddnb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**3\/3 - 3*m**2\/2 - 8*m - 396. Give q(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, l: 3, q: 1, m: 1}. Give prob of picking 1 m, 1 q, and 1 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i - 12*i + 4*i - 12*i.\nAnswer: -25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-8) - 2540\/80. Which is greater: -30 or a?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106846 and 31078.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 6 + 1)*(-2 + 1 - 1)*(3*u**2 - 3*u**2 - 7*u**3).\nAnswer: -252*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010100 - -100100011?\nAnswer: 1000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1203*t - 57 - 1050*t - 1049*t + 3305*t.\nAnswer: 3*t - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 3557 - 3545, -10*o = 4*k + 108 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 477 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.05 (b) 0.0801 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**8\/784 - 6*j**7\/245 - 3*j**2 - 2*j - 132. Let u(p) be the second derivative of g(p). Factor u(h).\nAnswer: -3*h**4*(h + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/5*11\/(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((13 - 3) + -5) - 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 5:32 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p + 1. Let y(r) = -1340*r**2 - 6*r + 3344. Let k(q) = 2*i(q) + y(q). Differentiate k(b) wrt b.\nAnswer: -2680*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 4 - 61 + 584*s + 25.\nAnswer: 584*s - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 98470 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 12:48 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 366*s - 5 - 2*s**2 + 6 + 362*s - 726*s. Suppose 5*p - p = 12. Suppose 0 = -j + p*j + 2. Calculate k(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -962 - -843.2. Let k = 107 + u. Round k to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 1. Let w be j(2). Suppose 3*a = -2*a - 2*p + 40, 33 = w*a + 3*p. Suppose 82 - 2 = 5*r. Calculate the remainder when r is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -219*w**3 - 22*w**2 + 8*w - 5. Let o(t) = -73*t**3 - 8*t**2 + 3*t - 2. Let g(d) = 3*h(d) - 8*o(d). What is the third derivative of g(j) wrt j?\nAnswer: -438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 11. Let v = -25 + t. Calculate the remainder when 5\/(5\/(-3))*v is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l - 21*l + 35*l.\nAnswer: 23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3\/v*v\/(v**(-2\/27)\/v)*v**(1\/10)\/v**20 assuming v is positive.\nAnswer: v**(-4273\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqe when three letters picked without replacement from {j: 3, p: 1, m: 1, e: 1, q: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18.2 and -4.\nAnswer: -72.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 5*q**8\/336 - q**5\/30 + 5*q**2\/2 + 2*q. Let p(m) be the first derivative of i(m). Find the third derivative of p(n) wrt n.\nAnswer: 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 300*h + 121. Is y(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - 745\/(-5)*2.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(x + 2*x - 5*x) + 1158*x - 2229 + 2229 + 552*x.\nAnswer: 1714*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**4 - 144*b**2 + 151*b**2 - 3*b**4 + 3 - 2*b - 1 in the form p*b**4 + w + a*b**3 + z*b + f*b**2 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-7)\/r*r*r)\/(r*r\/((r\/r**5)\/r)))\/(r**5*r**(-1\/5)))**(1\/15))**(-9) assuming r is positive.\nAnswer: r**(267\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1760\/2643 - -2\/2643. Let m = 0.1 - -0.9. Let n = m - 0.8. Which is the closest to 1? (a) n (b) q (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51151848 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d + 1. Let r be z(-1). Let l = 8.4724 - 0.0524. Let j = -8.82 + l. Put r, j, 17 in ascending order.\nAnswer: r, j, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from bappppppbpbpzpbppaba.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/157471 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/2543 or -1?\nAnswer: 3\/2543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5 + 3*i + 2*i**3 + i - 6*i. Does 16 divide y(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3831, 7653, 11475, 15297, 19119?\nAnswer: 22941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qii when three letters picked without replacement from bibbbbbibbqbbqbqbb.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -255*d - 5934. Calculate t(-20).\nAnswer: -834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -457*g**2 - 24*g - 2 wrt g?\nAnswer: -914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43798\/1251 + -125\/139. Let j = i + -304\/9. Factor 0 + j*c**2 + 5\/3*c.\nAnswer: c*(c + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-6)\/4 - 512\/(-80).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, f: 7}. What is prob of picking 1 h and 1 f?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 4. Let n be t(-2). Suppose -n*x = 2*x - 64. Let b = x + -10. Calculate the highest common factor of 36 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116.454 + 97.4568. Let i = r + 19. What is i rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -33. Suppose -h - 4*y = -4, 4*h = 6*h - y - 26. Calculate the remainder when p is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/360 and 7\/84 - 59\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 42050\/957 + -8 + 1064\/132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 k, and 1 u when three letters picked without replacement from dudiukikdodduud.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2471109 times -0.3?\nAnswer: 741332.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 at most as big as 1550\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6536? (a) -3 (b) -0.2 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 3*r - 5778 = -5770, 5*r + 5 = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.6825312 years?\nAnswer: 0.0006825312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 498414, 996825, 1495236, 1993647, 2492058, 2990469?\n\"Answer: 498411*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.084 (b) 0.1 (c) 0 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 - 6*x. Let t(m) = -9*m**2 + 12*m. Calculate -5*o(k) - 3*t(k).\nAnswer: 2*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 + 0.02. Let h = j + 0.46. Let f = 0.4 - h. Which is the closest to f? (a) -1\/5 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2017 + 1318 = -145*m for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1739*t + 1688*t - 153 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 + 146*q - 189. What is k(-50)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 43*p + 70. Let h be k(-9). Let g = h + 376. Calculate the remainder when g is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**25\/t**(-25))\/((t\/t**(1\/7))\/(t\/(t**(-7)*t))) assuming t is positive.\nAnswer: t**(393\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*f + 2*u + 6 = 0, f - u = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49489231 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -58089, -232722, -523785, -931278?\n\"Answer: -58215*m**2 + 12*m + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwq when three letters picked without replacement from wkqqqkkk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 7 + -24 + -38 + 19.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 4, 17916, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -15*s + 14. Suppose 4 = -2*x - 4. Is o(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 55*r + 1485. Let a be d(-26). Solve -5*f + a = 6*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 3*k + 6. Let n(x) = -2359*x**2 - 49*x - 4942. Let g(a) = -n(a) + 16*z(a). Differentiate g(y) wrt y.\nAnswer: 4750*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 63 = 3. Suppose 23*w - 27*w - 24 = 0. Let j = w - r. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7087743 and 948753?\nAnswer: 120491631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3100 - 69120 = 125*v - 135*v. Is v a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.9 - 1.1. Let x = -25 - -42. Let a = -12 + x. Sort a, 0.5, s.\nAnswer: s, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1448\/24 - 1\/3. Let x = -19 + m. Suppose 0 = -k + x + 15. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 27*g**2 + 125*g - 208. Calculate the remainder when 499 is divided by v(22).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, x: 2, z: 2, y: 2, d: 2, n: 4}. Give prob of sequence ndd.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - z - 1)*(0*z**2 + 3*z**2 + z**2)*(6 + 7 + 1).\nAnswer: -56*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1189955?\nAnswer: 5, 13, 18307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (-18)\/10)\/((-1)\/5). Is 61 - (2\/f + -1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofofffffoofffffoffff. Give prob of picking 1 o and 2 f.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -0*o. Suppose 0 = -c - 0*c + 5. Suppose 5*n - 5 = o, -c*j + n = 39 - 158. Solve j = -4*x + 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kdhdddhkdwpdpddpdhp. What is prob of sequence dpd?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24 - (-16 - 1400\/(-60)). Factor -g*m - 55\/3 + 5\/3*m**2.\nAnswer: 5*(m - 11)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*a = -12, -3*j - 24 = -8*j - 2*a. Suppose 3*i - 82 = -5*b + 1818, -5*b + 1900 = j*i. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 991319877 is divided by 495659936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b - 2. Suppose 0*v - 3*h = -2*v - 4, 0 = 3*v + 3*h + 21. Let y = v - -14. Calculate the remainder when y is divided by k(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -692101, -692273, -692559, -692959, -693473?\n\"Answer: -57*l**2 - l - 692043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + -2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 117*k - 18. Let y(b) = 115*b - 19. Let d(a) = -6*u(a) + 5*y(a). Find the first derivative of d(j) wrt j.\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59036 is divided by 1068?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = -2*d, 0*d - 2*d - 3*p = -8. Let q(o) be the first derivative of 0*o**3 - 4 - 8*o + 0*o**2 + 3\/4*o**d. Differentiate q(f) wrt f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -101*h + 14747. Give i(146).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 20 + -34 + (-1 - 11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668*d - 1309*d + 640*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96.8 - 97. Let b = -1.99 - 0.01. Let k = b + 4. Sort k, 1\/2, t in ascending order.\nAnswer: t, 1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39231540.\nAnswer: 2, 3, 5, 61, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/4 of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -260*s**2 + 19913*s - 188666688.\nAnswer: -520*s + 19913","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 + -28. Suppose w = -4*g + v, 2*g + 5*w = 4*w + 17. What is the highest common factor of 77 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*(sqrt(325) + 0 + (sqrt(325) - (sqrt(325) + -3)) + sqrt(325) + sqrt(325)*-2*-5 + sqrt(325))*-5)**2.\nAnswer: 89700*sqrt(13) + 12360241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -2634041.\nAnswer: 5\/2634041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9.606230938248+0.04\nAnswer: -9.566230938248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*v + 1896000. Round v to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(275)*-1 - sqrt(275)) + 0 + (sqrt(275) - -2*sqrt(275)*-2))*-5*5)**2*-4.\nAnswer: -17187505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 55 + 165 + j - 55.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7400 - -66533\/9. Let m = -19560\/11 + 127645\/66. Let s = m - 1243\/8. What is the common denominator of s and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8673 and 6549.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -17. Let c(f) = -6*f**3 + 5*f**2 - 16*f. Let b(r) = -r**3 + r**2 - 3*r. Calculate m*c(g) + 22*b(g).\nAnswer: 2*g**3 + 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 2*z - 3*z**2 + z**2 - 2 + 2 + (1 - 1 - z)*(-1 + 1 + 2*z))*(1 + 8*z**2 - 1) to s*z**3 + k*z**4 + o*z + d*z**2 + m and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4282\/72049 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121 and 176?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 98571168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*m, -3*i + 4*m - 20 = -41. Let u be (-4)\/6*3\/(-2). Suppose -2*c = r + u, 0*r + 5*c = -r - 10. Solve 4*x + 2*h = r*x - 10, i = -3*x - 5*h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*i - 12, -i = w - 0*w. Suppose 5*x = -w*s - 14, 4*s - x - 6 = 10. Solve s = -3*t + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v + 3. Let u(w) be the first derivative of w**2\/2 + 2*w + 11. Calculate 4*i(t) - 5*u(t).\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1 + 1 + (93 - 2) + -9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 6*r**2 + 8*r - 7. Let d be h(5). What is the derivative of 104 - u + 2*u - 124 - d*u wrt u?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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 s be -2 + (52 - -3)\/(-1). Let c = s + 52. Let w = c - -43. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of -24 - (-18 - -2) - -40056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, -18, -6 in increasing order.\nAnswer: -18, -8, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven eighths of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 23 + 29)*(5 + 7 + 5*z - 14*z).\nAnswer: -225*z + 300","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8254.5 + 1.\nAnswer: -8253.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7013, -3\/4, -115 in increasing order.\nAnswer: -115, -3\/4, 1.7013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 615 + -560. Calculate the highest common factor of x and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 249 - 251. Which is smaller: -14\/5 or z?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + 4*n)*(5 - 3 + 65).\nAnswer: 134*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 171 = 39*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 10 = 7*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 143788 (b) 4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2477275 is divided by 4529.\nAnswer: 4441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/45 - (4528\/504 + -9).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/108 and 15192\/3402 + -3 + (1 - 2)*1?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225411527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 406, 3814, 10232, 19660, 32098, 47546?\nAnswer: 66004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:45 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 3*v**2 - 3*v + 13. Is u(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 18, w: 2}. What is prob of picking 4 o?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -319 - -717. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/32, -1, 2\/17 in descending order.\nAnswer: 2\/17, 1\/32, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212126 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23557 or -32\/13?\nAnswer: 23557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2260*j**4\/7 - 3656*j**3\/7 + 516*j**2\/7 + 128*j - 16\/7 = 0. Calculate j.\nAnswer: -2\/5, 2\/113, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1114, 51, 38, 0, -1, -4 in descending order.\nAnswer: 51, 38, 0, -1, -4, -1114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 341417\/405 - 843. Let x = 2039\/2835 - a. Find the common denominator of x and -43\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 - -23750265.\nAnswer: 23750264.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 0*i**2 - 7*i**2 - 2*i**2 - 40*i + 8*i**2 + 38*i. Let b(m) = -2*m. What is x(b(g))?\nAnswer: -4*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1271943349?\nAnswer: 17, 74820197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*u + 32028 = -121*u. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*r**2 - 2*r**2 + r**2 + (0*r + 0*r - 2*r)*(-r + 2*r - 2*r).\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3800) + 4*sqrt(3800) + sqrt(3800))*-2)\/((sqrt(98) + 1*sqrt(98) + sqrt(2))*-3))**2.\nAnswer: 1216\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 665364 divided by -166341\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*x = -281*x + 6. Suppose 0 = -10*g + 6*g + 16, 0 = -m + x*g + 79. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/3 + 4\/(-12). Find the second derivative of -6*l**4 + l + 3 - m*l - 3 wrt l.\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*d + 259 = 0, 0 = -3*d - 2*d - 5. Let r = l - -89. Suppose 4*s + 79 = 5*s + r*j, 3*s = 3*j + 192. Round s to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -377, -1281, -3029, -5897, -10161?\nAnswer: -16097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-2 - sqrt(77))*3 + sqrt(77)*-1*5 + sqrt(77))\/(4*(sqrt(176) + (sqrt(176) + sqrt(176)*1 - sqrt(176)))) + 4.\nAnswer: -13*sqrt(7)\/32 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 15 = -3*s, 0 = 2*s - 53*h + 57*h - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 6*p + 13. Let w be x(9). Suppose -2*z - 2 - 16 = 0. Does 22 divide w*6*z\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 21312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j - 5*j - j**2 - 18*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + -3)*(-1 - 0). Suppose 0 = -j*l + 2*h + 19, -h - 3 = -l - 1. Calculate the smallest common multiple of 4 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 2358?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q + 23. Let m be -10*((-27)\/6 + 4). Let r be z(m). Solve -5*s = 4*c + 3, 4*s - r*c + 4 + 17 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/2*(1766240\/(-57) + 6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13301467963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 19 = 1 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 551\/9 + 1 + (-124)\/558?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37535 = -20*m - 36*m - 38319 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41766016?\nAnswer: 2, 269, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**5 + 5*u**5 - 2*u**5 + (-8*u**2 + 0*u**2 - 3*u**2)*(-3821*u**2 + 3821*u**2 + 119*u**3).\nAnswer: -1306*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 9:21 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*q + 340*q + 147*q + 67*q + 6*q.\nAnswer: 487*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3807 (base 11) in base 15?\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 17\/2 of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 257 - 28 = 5*o + 2*s, -s + 640 = 5*o + 10*o for o.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 39*w**2 + w - 6. Let j be a(3). Calculate the greatest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmk when three letters picked without replacement from mkkmmmmkmmmm.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -16083.\nAnswer: 4\/16083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.4 (b) 3783 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001001011110110101100 (base 2) in base 12?\nAnswer: -981524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.6 - 2.64. Let s = 4.04 + f. Which is the smallest value? (a) 0.3 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -15. Let v(f) = n*f - 9*f - 2*f**2 - 5*f. Give v(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 427163.8 millennia?\nAnswer: 427163800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -35.48 (c) -2\/5 (d) 0 (e) 5 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) -4 (c) -312 (d) 3\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 56 = 5*x + 55, c = -x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -174273460 - 0.28.\nAnswer: -174273460.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4681 + 11954 = 2*o, u = o + 1456. List the prime factors of u.\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2014725884?\nAnswer: 2, 503681471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvbbhzvzvhuvuhvjh. Give prob of sequence bvj.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is beab (base 16) in base 4?\nAnswer: 23322223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - p + 6 = 0, 0*m + 2*p + 2 = 4*m. Calculate the remainder when 24 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000533 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 15*h + 16 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 187 - -118. Suppose 13*l - s = 111. What is the remainder when 127 is divided by l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 15 + 11 = 3*l, -l - z = -2. Let q = -3 + l. Suppose i + q = j, -j - 1 = -4. Solve 3*n + 24 + i = -3*p, n = p - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.25271086 rounded to 2 decimal places?\nAnswer: 5.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 2*v**3 + v**3)*(3 - 3 - 3*v) - 4*v**4 + 2*v**4 + v**4 - 3*v**4 - v**4 + 3*v**4.\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 970 and 1000?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -102041481878 less than 0?\nAnswer: 102041481878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 28 = -7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 7 (b) -1 (c) 0.2 (d) -14.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37 + 71?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 13*g + 9. Let u(a) = 25*a + 21. Let m(s) = -6*s - 5. Let o(w) = -9*m(w) - 2*u(w). Determine -2*h(q) + 7*o(q).\nAnswer: 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 603.35187 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11368 and 6264.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972298.\nAnswer: 2, 17, 28597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-9) - ((-2958360)\/37395 - (-14 + 1 - -2))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-18) + 3422\/9. What is m rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/3186 and 61\/1590876?\nAnswer: 4772628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1860\/(-72))\/(-31))\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3969*j + 99333. What is o(25)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 2.6. Let o = 0.1 - -0.2. Let h = 60235 + -60235.3. Put h, z, o, -2\/17 in descending order.\nAnswer: z, o, -2\/17, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2120d (base 16) to base 5.\nAnswer: -13320233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5846 and 518.\nAnswer: 40922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + 2*p**2 - 3*p**2)*(-p + 0*p + 0*p) + 4*p**3 + 0 + 0 - 23*p + 23*p - 9*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 9:25 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5}. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/67200 and -169\/588000.\nAnswer: 2352000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.01, -16, -0.38, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4\/9 + 32*z**3\/9 - 434*z**2\/3 - 2692*z\/9 - 1360\/9 = 0.\nAnswer: -34, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*j - 8, 47*j - 6 = 44*j. Put h, -1, 0, 75 in decreasing order.\nAnswer: 75, h, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0*b**3 - 25\/336*b**8 - b**2 + 0*b**4 - 1\/15*b**5 - 1\/42*b**7 + 0 + 0*b + 2\/15*b**6. Factor g(j).\nAnswer: -j**2*(j + 1)*(5*j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + (-11 - -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-13 + 134\/10)*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/(8\/(-16)). Let n = -1 - -2. Solve z + n = r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 4*k - 6*k + 17*k - 8*k - 3*k + (-2 + 2 - 2)*(-2*k + 3*k + 2*k) - 2 + 2 + 2*k + 3*k + 0*k - 2*k + (3 + 1 + 1)*(k + 0*k + k).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 1097 - 1097. Let x(c) be the first derivative of 5*c**2 + 11. Determine t(x(k)).\nAnswer: -200*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 10*u + 3. Let i(m) = 49*m + 14. Let x(d) = -3*i(d) + 14*s(d). Is x(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/435)\/((-2)\/2). Let r = -6829\/2030 + q. What is the common denominator of (-267)\/(-70) + 2\/7 and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/(((r\/r**(-19)*r)\/r)\/r*r))\/r)*r*r*r**(19\/4))\/(r**(-11)*r*((r\/(r\/r**(-5\/2)))\/r)\/r))**(4\/7) assuming r is positive.\nAnswer: r**(169\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190865, 4, 2, 8, -3, 1.\nAnswer: -190865, -3, 1, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 3*l**5\/5 + 4*l**2 + 2. Find the second derivative of y(p) wrt p.\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91690*j**3 + 15566*j**3 - 55004*j**3 - 88695*j**3 + 44458*j**3.\nAnswer: -175365*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 2*w - 6, -33*w = -4*z - 31*w + 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 143329\/30 + -4777. Let x = -273809\/21 + 13036. What is the common denominator of x and m?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, m: 3, q: 1, r: 2, k: 9}. What is prob of picking 2 q and 1 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - (-13 - 16) - (-3 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 353953145 to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 4\/(-114)*3 + (-31006)\/(-703).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 + 51*q**2 - 3*q + 63. Let t be j(17). Let w(u) = 2*u**2 - 26*u + 2. Determine w(t).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (2 + -6 + 0 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 6*t + 14. Let l be j(7). Suppose l*w = 12*w - 30. What is the smallest common multiple of w and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**4\/24 + v**3\/3 + 17*v**2. Let j(z) = z**3 - 4*z**2 + 2*z - 6. Let a be j(4). Determine h(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 6) to base 3.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 j when three letters picked without replacement from jstjojdj?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 298227 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) - sqrt(2754))\/sqrt(2) - 5*sqrt(833).\nAnswer: -43*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 - -58.9. Which is the nearest to 4? (a) j (b) -4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 15*a**2 + 46*a + 125. Calculate w(-17).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11678*o**3 - 27*o**2 + 18*o + 27868?\nAnswer: -70068*o - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3) + (0 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4226153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 47 (c) -2 (d) -1 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 at most 128793\/2794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230, -416, -602, -788?\nAnswer: -974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -366775 and -366774 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*p = 1211, 3*p = k - 0*p - 412. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*c - 49*c + 7*c)*(-41 + 41 + c) - 33 - 153*c**2 + 152*c**2 + 13 as n*c**2 + z + g*c and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 5:28 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(190)*-5 - sqrt(190)) + ((sqrt(190) - -2*sqrt(190))*3 - sqrt(190)))\/((sqrt(640)*-1 - sqrt(640))*-3 + (sqrt(640)*-1 - sqrt(640))*-3).\nAnswer: 37*sqrt(19)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80175 - -80176. Let g = 14 - 9. Solve -g*c = -9 - u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -17*f**3 - 33*f**2 - 45081*f + 11. Let x(p) = -3*p**3 - 6*p**2 - 9016*p + 2. Determine 2*l(g) - 11*x(g).\nAnswer: -g**3 + 9014*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gugz when four letters picked without replacement from {g: 7, u: 4, z: 2}?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/6 and 35\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 3*m**5\/20 + 403*m**4\/12 - 1165*m**3\/2 - 230*m + 1. What is the second derivative of c(d) wrt d?\nAnswer: 18*d + 806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1934? (a) -4 (b) 62 (c) 5 (d) -0.4 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 6:15 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 10 - k - 19 + 8. Let n be j(-1). What are the prime factors of (0 - 1) + n + 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3750294068.\nAnswer: 2, 31, 2777, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*v = -22, -5*o + 7*v - 3*v + 28 = 0. Suppose -13 = -o*z + 7. Suppose -5*r = -2*r - 5*c - 28, -2*c - 11 = -r. Sort 3, r, z in descending order.\nAnswer: z, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 1499367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4025639?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2804150174 - -0.11505.\nAnswer: 2804150174.11505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shpcppicpii. What is prob of picking 1 s, 1 i, and 2 p?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*t - 2655 = 0, 2*t + 1283 + 1351 = 5*v. What is the greatest common factor of v and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*s - 1 - 2*s + s - s + (-2 + 0 + 0)*(-4*s + 0*s + 2*s) - 4*s - 3*s + 5*s - 35*s + 60 - 60.\nAnswer: -33*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*s**3 - 280*s**3 + 566*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2. Let b = -11.44 - -10.54. Sort a, b, 2\/5 in descending order.\nAnswer: 2\/5, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - 170963*a + 35. What is i(0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + s + 3 + (-s + 2 - 2)*(1 + 2 - 5) + s - 3*s + 3*s + 0*s + 2*s - s + (4 - 5 + 2)*(2*s - 5*s + s) - 4*s + 8*s + 5*s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 = -b, -4*r + 1 + 9 = -3*b. Let t be 16\/(-10)*b\/4. Solve t*f + 3*l - 6 = 0, -f = 5*l - 0 - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*-4*2\/(-4)*503\/(-6036).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (42\/70)\/((-26)\/(-25) + -1). Suppose j - 2*j - 3*f + 1134 = 0, 2296 = 2*j - f. What is the tens digit of j\/b + (-21)\/(-35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*o**2 - 854*o - 838*o - 917*o + 2610*o.\nAnswer: -107*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**3\/3 + 22*k**2\/3 - 344*k\/3 - 760\/3 = 0.\nAnswer: -19, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1920294?\nAnswer: 2, 3, 43, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -12, -1, 4.952, -4, -2\/7 in increasing order.\nAnswer: -12, -4, -1, -0.4, -2\/7, 4.952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-16 - -7) - (0 - 29)) + -6 + -6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8900611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + t = -2*x - 10, -4*x + 3*t = 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 9, -0.37?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 13*w**3 + w - 1. Suppose 0 = 10*u - 4*u - 42. Calculate the remainder when q(1) is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 144 + -113. Calculate the remainder when c is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009369 to six decimal places.\nAnswer: 0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 13*w + 7. Let g be i(13). What is the nearest to g in -0.1, -5, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 446742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60752, -60693, -60634, -60575, -60516, -60457?\nAnswer: -60398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*i - 3*x - 563 = -50*i, -2*x = 4*i - 2294. Which is smaller: 4 or i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/(5786\/7890)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 5. Let a be n(-3). Suppose 2*l - 60 = a*l. Let m be (-1)\/(-2) - 95385\/l. What is m rounded to the nearest one hundred?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 820\/50 - (3 - 54\/15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7179*b - 11774*b - 4751*b to c*b + j and give c.\nAnswer: -23704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose 3 + 1 = p*t. Suppose 2*h - 18400000 = -t*q, -q - h + 4*h = -9200000. What is q rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9188 divided by -9879?\nAnswer: 9188\/9879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163960855.\nAnswer: 5, 32792171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v - v - v + 21 + v. What are the prime factors of o(-12)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -455428362 divided by 1434\nAnswer: -317593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 1 - 0. Let t = -5014 + 5017. Let w = 17\/14 - 12\/7. Which is the biggest value? (a) t (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 805694.5 centuries in millennia?\nAnswer: 80569.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-2)\/(-12) - (-8)\/(-48)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 12 = -c - 2*c, -c + 4 = -3*q. Suppose -2*u + 76609 + 27951 = q. Let i = u - 28280. What is i rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -319.04 and 3?\nAnswer: 322.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 789600 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -104. Suppose y = 11*g - 2*g. Suppose -5*f - 7 = -22. Solve g = -f*b - 1, -2*b + 1 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 78*o**2 + 4. Let y(b) = -b**3 - 117*b**2 + 6. What is -7*g(p) + 5*y(p)?\nAnswer: 2*p**3 - 39*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogoe when four letters picked without replacement from {f: 9, g: 1, e: 5, o: 3}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/5224089 and -56\/12963?\nAnswer: 5224089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -329*c**3 - 26*c**2 + 42471.\nAnswer: -987*c**2 - 52*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*c + 113*c - 50 = 303*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000111110001 (base 2) in base 16?\nAnswer: -41f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -1 - (4 + (-1 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10074 and 10293.\nAnswer: 473478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*v - 2*r, r + 28 = 4*v + 3*r. Suppose -5*c - v = -2*c. Which is smaller: -3\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 7)*(-6 + 2 + 1)*(-2 - h + 2).\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1 = z. Suppose -3*n - 2 = z. Which is smaller: n or -2\/25?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 4:16 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 4*b + 6. Let v be i(-3). Suppose -2*k = -v*y - 248, -4*k - 496 = -8*k + 2*y. List the prime factors of k.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = i - 0*m - 2, 2*m = -2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/3, 0.2, -2\/3, 12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 83*j - 193. Let q be p(11). Let d = -720 + q. Sort 99, d, -2 in descending order.\nAnswer: 99, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 65*b**2 + 2*b - 1. Let g be o(-1). Let y = 67 - g. Suppose y*c = 408 + 87. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 213\/4 + -53. What is the nearest to 1\/4 in t, 0.1, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 2:43 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**3\/27 - 25*p**2\/18 - 6*p - 75. Let r(j) = 0. Calculate j.\nAnswer: -2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 5*j**2 + j + 1. Let l(o) = -o**3 + 6*o**2 - o. Let r = -13 + 19. Let u be l(r). Let k = u + 1. Calculate m(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27 and 0.006.\nAnswer: 0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.053 and 32 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q + 1. Let v(u) = u. Let i(h) = 2*v(h) + y(h). Let g = 6 + -4. Does 13 divide i(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0047 + -0.0647. Which is the third biggest value? (a) o (b) -7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 1\/5, -2, -457 in descending order.\nAnswer: 1\/5, 2\/13, -2, -457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2785504823?\nAnswer: 19, 89, 1647253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = 30 - 46 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184351367?\nAnswer: 12889, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91978 + 144978. Is 265 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*c + 11. Let k be 5*(-4)\/(-20) + c. Solve l + 3*l + k = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 132679.\nAnswer: 9287.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Let k be 2\/((18\/24)\/(27\/(-8))). Let j(g) = -17*g + 8. Let n(f) = -4*f + 2. Determine k*n(l) + v*j(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -3*u**3\/2 + 52*u. Let g(d) be the third derivative of d**5\/60 - 2*d**2. Determine f(g(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 0*s. Suppose 12*m - 18 + 6 = s. Suppose o + 5*d + 5 = -3*o, 4*d - 22 = 2*o. Put 5, m, o, 3 in ascending order.\nAnswer: o, m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/41? (a) 0.11 (b) -2 (c) -210\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2dea (base 16) in base 8?\nAnswer: -26752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.9289 - -0.0711. What is the smallest value in -3\/2, -2, k, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 + -41. Calculate the remainder when n is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -33*i**2 + 8*i - 830. Let o(r) = -3*r**2. Calculate l(o(z)).\nAnswer: 198*z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 42596?\nAnswer: 19\/42596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/57886621 and -29\/48980987.\nAnswer: 636752831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + w + 18 = 0, -3*w = 254*u - 78*u - 164*u - 36 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -971? (a) 26\/7 (b) 6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480) - (sqrt(480) - -6*(sqrt(480) - sqrt(480)*2)))\/(sqrt(60)\/(2*sqrt(96))).\nAnswer: 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 8*o**2 - 12*o + 6. Let w be h(6). Solve 0 = 8*p - w*p - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 1 - 1)*(2 + 1 - 1) + j + 4*j - 4*j + 0 + 2*j + 0 + 1 - 2*j - 1 + (3 - 2 + 2)*(2*j + j - 2*j)*(-1 + 3 + 0) as w*j + x and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 476, 1085, 2000, 3227, 4772?\n\"Answer: u**3 + 147*u**2 + 161*u + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - p**2 + 0)*(112*p + 144*p - 118*p)*(2*p - 6*p + p) to a + w*p**2 + l*p**3 + o*p + c*p**4 and give c.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.23 - 2.25. Let x = -1.02 + 1. Let m = w - x. Which is the closest to 0.1? (a) m (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 9 - 9)*(-u + u - 2*u) + 658*u - 658*u - 6*u**2 + u**2 - 2 + 2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-5 + -11) - (-21 + 16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 3. Let q be t(9). Suppose -2*z - 4*h = -2*h - 38, 2*h = q. What is the lowest common multiple of 38 and z?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 8*f - 132 = -3*f. Calculate the highest common divisor of 64 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*a - 6 = 0, -m - 10*a = -6*a - 2. Let x = 2 - m. Suppose -x*c + 36 = 4*o, 4*o = -c + 5 + 10. Calculate the remainder when 11 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2853 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36.6 - 36.2. Let i = -20.1 + 21.1. What is the nearest to j in 4, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61578 is divided by 5630.\nAnswer: 5278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.6 + 4. Suppose -2*t - 17 + 5 = 0. Let a = 11 + t. Put a, -5, d in descending order.\nAnswer: a, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1168 divided by -15\nAnswer: -1168\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14331110 - 4?\nAnswer: 14331109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7708132753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 - 2*h**4 + h - 2 + 2 + 3*h**2 to the form u + s*h**3 + w*h**4 + k*h + y*h**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n**2 - 177*n + 355. Determine w(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 30 (b) -0.4 (c) 0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4*o = -5*h + 2, 2*o - 2 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-6)\/(-2)*18\/54).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 35. Let k(s) = -5*s + 2*s + 4*s + h. Let p be k(-9). What is the greatest common factor of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1. Let v(x) = -x**2 - 3. Let f(j) = v(j) + 3*z(j). Let r(c) be the first derivative of 8 + 0*c + 0*c**2 - 2\/3*c**3. Determine f(r(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 8:56 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14979424?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) 0 (c) 184 (d) -3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**3 - 2*l**2 + 5*l + 31. Let g(s) = 11*s**3 - 3*s**2 + 9*s + 64. Let z(c) = 6*g(c) - 13*u(c). Determine z(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/2)*o**(-1\/4)*o*o*(o*o**0*o)\/o*(o*o**(-6))\/o assuming o is positive.\nAnswer: o**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z = 0. Let p be -4 - (-2 - 0)\/(-2). Sort z, 5, p in descending order.\nAnswer: 5, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10353*c - 33379 - 318623 = 0 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*q = 80*q + 6. Is 17304\/q - (-11 + (6 - 0)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 2*d - 31. Let a be i(-5). Suppose -45 = -a*w + 31. What is the remainder when 92 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-11)\/(-11)*(185 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 8, -3*u + w - 25 = 6*w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12.7? (a) -2 (b) -0.2 (c) 1\/2 (d) 0.1 (e) 8\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 + 3*z + 7. Let s = 4 + 4. Let w(g) be the first derivative of g**3 - 2*g**2 - 11*g - 78992. What is s*d(k) + 5*w(k)?\nAnswer: -k**2 + 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019023581 rounded to four dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*u - 2*u - 2 + 0*u.\nAnswer: -32*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1520 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 119374 take away -3?\nAnswer: 119377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17840 and -3.78?\nAnswer: -67435.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from {r: 1, y: 1, c: 4, d: 5, s: 1, v: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 714.6259 minutes to nanoseconds.\nAnswer: 42877554000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**2 - 11258250*t - 6337409653125 = 0?\nAnswer: -1125825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m. Suppose 388432 = -10*g + 12*g - c, -5*g = 4*c - 971054. Let j(d) = -d**2 - 194214*d + g*d + 10. Calculate x(j(y)).\nAnswer: 3*y**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + k - 7 = 8, -5*k = h + 1. Let m be 0 + 9\/3 - -122. Suppose h*w - m = 5*p, -5*w - 29 = -2*p - 164. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*g = 42 - 9, 0 = 2*s + g - 21. Solve -2*c - 7 - 15 = 4*u, 0 = -3*u + 3*c - s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -r + 22, 60 = 2*r - 4*u + 2*u. Suppose 4*v - 67 - r = -3*c, -4*v = -4*c - 100. Calculate the remainder when 93 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 10) to base 12.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46b98 (base 13) to base 6\nAnswer: 2435042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -d - 2*d + 4*h, 3*h + 131 = 2*d. Let s be (134 - 2)*((152\/(-42))\/(182\/637) - -14). What is the highest common factor of s and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 186819326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99095 less than 98891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is e938 (base 15) in base 7?\nAnswer: 263546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101020010112111 (base 3) to base 2.\nAnswer: 10100101110111011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 3:24 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 584 and 1314?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/7 + 984540*h\/7 + 2953647\/7.\nAnswer: -3*(h - 328183)*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -293? (a) 0.4 (b) 2.4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 2:36 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, 1\/5, -3, 5 in ascending order.\nAnswer: -3, 1\/5, 5, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23397 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -5) + 58 - (4 + (-32 - -42))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -9 + (-9 + 13 - -11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -71 + 6. Let o = 779 - 776. Suppose -o*p - 324 = -753. What is the highest common factor of p and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 850889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/28 and -89\/13062.\nAnswer: 26124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*x + 3*m - 5, 0 = 3*x + m - 14. What is the greatest common divisor of x and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 1. Let i(x) = 24*x**2 + 6*x - 7. Let y be i(2). Suppose 115 + y = u*l. What is the remainder when l is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -5, -4, 1 in decreasing order.\nAnswer: 1, -4, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 36327193?\nAnswer: 363271930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 0*g + 7\/2*g**2 - 2*g**4 + 0*g**3 - 1. What is the second derivative of f(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54, -89, -126, -165, -206, -249?\n\"Answer: -g**2 - 32*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -23025967.3 to the nearest 10000.\nAnswer: -23030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2022*c - 2*c**2 + 2097*c - 2323*c in the form s*c + i*c**2 + p and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319785.\nAnswer: 3, 5, 21319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/2052*19*12\/38?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 0*o + 0 + 4*o**3 - 20\/3*o**2 - 1\/3*o**4 = 0.\nAnswer: 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16858 + 95368. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r. Let v(b) = 28348*b**2. Give v(p(z)).\nAnswer: 113392*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**2 + 2*q - 2. What are the prime factors of p(4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 37 = -4*m - 11, 58 = -3*m - 4*u. Let f = -9 - m. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-17)*(-404)\/(-606)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120538807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 541638?\nAnswer: 541637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 7604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147597, -295193, -442785, -590373, -737957, -885537, -1033113?\nAnswer: -1180685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11383555801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/(-100)*(-32)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2 + 3. Let r(y) = 6*y**2 - 8*y - 16. Let z(h) = -19*h**2 + 26*h + 52. Let k(l) = -13*r(l) - 4*z(l). What is f(k(g))?\nAnswer: 20*g**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141 or 34609\/248?\nAnswer: 34609\/248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33171 plus 619346.6376?\nAnswer: 652517.6376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 + -78.98. What is the third biggest value in -2\/23, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*x + 1. Let q be 24\/30 + x + (-1)\/(-5). Suppose 63 = -5*z + 2*w + 406, -5*z - 5*w + 350 = q. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*j - 240, -j = -0*j + 4*b - 80. Suppose -19*v - j = -23*v. Let l be (76\/3)\/(v\/(-36000)). What is l rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t**3 + 2*t**2 - t - 4. Let s(k) be the first derivative of k**4\/4 + k**3\/3 - k + 1230. What is 4*s(l) - z(l)?\nAnswer: -3*l**3 + 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.78 + -2.78. Suppose m + 3*v = 14, 8*m = 3*m + 3*v - 2. What is the nearest to 0.14 in j, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11399 + -69?\nAnswer: 11330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-21)\/(-28)*-4 + 6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*q - 194 - 143 = 0, 345 = 2*l + 5*q. Suppose -l = -39*b + 1819. Calculate the highest common factor of 221 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 16*s. Let z(a) = -a. What is k(q) + 12*z(q)?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1137 divided by -4\nAnswer: -1137\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2. Let x(d) be the second derivative of 17*d**4\/12 - 36*d. Give x(z(a)).\nAnswer: 153*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -11*x**2 + 22*x - 46. Let r(p) = 4*p**2 - 7*p + 18. Let n(k) = -3*i(k) - 8*r(k). Calculate n(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r + 776 = o, 2*r = -4*o + 524. Suppose 4*s + 0*f - r = 3*f, 248 = 4*s + 2*f. Calculate the greatest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 20801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3505, -3522, -3561, -3628, -3729, -3870, -4057, -4296?\nAnswer: -4593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 2:23 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -8. Suppose -q*c = -5*a + 23, 4*a - 21 = c - a. What are the prime factors of ((-3)\/c)\/(3\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (6\/(-2) + 16). Let h = a - -21. Suppose -3*t + 2 = 5*v, 0*v + h = 5*v - t. Solve -3*b - v = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q - 2*q + 2*q. Let d(b) = b**2 - 5*b + 5. Let f be d(3). Give u(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17585\/21 + -14948279\/17850. What is the common denominator of 50\/493 and x?\nAnswer: 24650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from spsszssnpsspsnsnpnsn. What is prob of sequence spnn?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((28\/8)\/(-7))\/(6\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16791.1*-0.4\nAnswer: 6716.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -219 - -106 - (0 + -132)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2. Let m(o) = 25*o - 503. Let b be m(20). Let k = a - b. What is the remainder when 9 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1878521 is divided by 218?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -734*c + 1653 - 5893 = -11267 - 12057 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**5\/5 - 38*a**4\/5 + 126*a**3\/5 - 26*a**2 + 44*a\/5.\nAnswer: -2*a*(a - 1)**3*(a + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - (5 - 5 - -5)) - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + sqrt(704))*1*-1.\nAnswer: -8*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -29*h. Let g(q) = -880*q**2 - 128. Let r(u) = 135*u**2 + 20. Let t(d) = 5*g(d) + 32*r(d). Calculate t(y(c)).\nAnswer: -67280*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13043153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-2 - -5) + 12 + -7 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -1, 10, -14, 1 in ascending order.\nAnswer: -14, -1, 1, 10, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 21 - f - 36 + 3*f - 32*f**2 + 19. Let b be m(-3). Let z = 609 + b. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + v + 0*v)*(5*v - 5*v - v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + -2)*4 - -6*(sqrt(1300) + 2 + sqrt(1300)))**2 + -1.\nAnswer: 1280*sqrt(13) + 332815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + -1 + -1 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 7) to base 16\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**3 - 15425*j**2 + 7727*j**2 + 7698*j**2.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/8, 794, -2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -242774*x**2. Let l(z) = 2*z**2. Determine t(l(g)).\nAnswer: -971096*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 7*m - 3*m - 10, 0 = -2*m + 5*i - 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -15*b + 1692. Determine z(115).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -142255 - -40?\nAnswer: -142215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yceppezb. Give prob of sequence cpep.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 - 3*a**2 + a - 4. Let v be i(4). Suppose -2*u = -3*g - 35, -g + v = 3*u - 0*g. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 300 - 210 = 0. Let t = v - -117. Is t > 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3260032 - -4?\nAnswer: 3260036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(2\/29))\/n*n\/(n\/(n**(-3\/10)\/n))*(n\/((n*n**(-6\/5)\/n)\/n))\/((n*n*n*n**(2\/11)*n)\/n*n) assuming n is positive.\nAnswer: n**(-4309\/3190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5 - 165. Solve -w = 5*v - 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/8 - ((-1313)\/(-104) - 13)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189994 and 41706.\nAnswer: 1709946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 16. Let g(j) = j**3 + 39*j**2 - 263*j - 20. What is the remainder when (-27)\/2*r\/(-3) is divided by g(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvjlt. Give prob of sequence vv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3 + 85\/(-60) + (-3245)\/(-236)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 15*i + 1. Let d(h) = -3*h**2 - 2*h. Let u(l) = -6*l**2 - 4*l - 9 + 14*l**2 + 9 + 9*l. Let n(z) = 10*d(z) + 4*u(z). Determine b(n(o)).\nAnswer: 30*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 402.2017 micrometers?\nAnswer: 402201.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y - 35. Let f(m) = 3*m - 52. Calculate 5*f(o) - 7*j(o).\nAnswer: o - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 20511309.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12478 and 45765634.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 18681.3 decades?\nAnswer: 186.813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 3)*(42*m - 9*m + 122*m + (-3 + 5 + 0)*(0 + 0 + 2*m)) to the form l + b*m and give b.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 6 + 31*w + 17 - 13 to the form u + q*w and give q.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14522952 is divided by 2904582.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*o = -4 - 380. Let n(h) = 21*h**2 - 6*h - 6. Let s be n(-4). Suppose s = 3*u + 2*t + 2143, 4*t = -o. Round u to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -494673\/14 or 3\/56?\nAnswer: -494673\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9da + 24?\nAnswer: a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k + 80. Let z be r(-21). Let t be (-28)\/(-6)*(z + 58). What is the greatest common factor of t and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -28, 0.5, 0.2, -44, -1, 0.4?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*-5*(-2278)\/1206*3\/(-34)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1005660434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105543?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21123002120 (base 4) in base 14?\nAnswer: -484236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-9 + 250\/30)*1)\/(8\/(-1668))?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4\/5 - 3648*o**3 + 25163472*o**2\/5 - 9365124416*o\/5.\nAnswer: 4*o*(o - 1982)**2*(o - 596)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from qtq.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*a + 3*g = 179, 617*a - 622*a - 3*g = -34 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28\/39 - 5\/13. Suppose 5*q + 3*w - 47 + 7 = 0, 5*q + 2*w - 35 = 0. Let n(d) = 2*d + 1. Let r be n(-1). Which is the smallest value? (a) q (b) k (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**14)**(-4\/13) assuming h is positive.\nAnswer: h**(-56\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*w + 79147, -158283 = 64*g - 68*g - w. What are the prime factors of g?\nAnswer: 7, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2661 - 2665. Sort 0.1, h, 2\/11, -0.4, -3\/11 in ascending order.\nAnswer: h, -0.4, -3\/11, 0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381 divided by 751.\nAnswer: -381\/751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 865 - 876 - (2 - -39)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-44)\/(-16) + -2)*16\/4. What is the first derivative of 11*p**r + 9 - 3 - 6*p**3 wrt p?\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 + 126\nAnswer: 126.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 14 = -4*u, 4*u + 1 = -n - 8. Let a(p) = -p - 2. Let x be a(n). Is ((-2)\/6)\/(x\/(-693)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7434)\/4543)\/((-78)\/2431).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-6) + 12\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-180))\/(28\/378)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 2*r**2 + r**2)*(7 + 5 - 1 + (22 + 1 + 3)*(1 - 4 + 4)).\nAnswer: -37*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/717? (a) -3 (b) 0.029 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28680 + 28760 - 57242 + 5*d.\nAnswer: 5*d + 198","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 + 10eca?\nAnswer: 10ea8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((s*s\/(s**5*s)*s*s*s*s)\/s)\/s)\/s*s*s)\/s)\/s*s)\/s**(-21)*s\/s**5*s**(4\/13) assuming s is positive.\nAnswer: s**(199\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65457 is divided by 177?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = -1. Put d, 1, 4, 0 in descending order.\nAnswer: 4, 1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3618 and 180.\nAnswer: 36180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -369 - -1359. Suppose 8*w - u = 2050. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2700901.98916942 + 21915943.48916944. Let q = -19215063.5 + i. Let v = q - -22. What is v rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.4612473 - -243.4612598. Let f = -241 + h. What is f rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, 5, 460.\nAnswer: 5, 137, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*f + 208*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 7. Suppose -9*k = -8*k - 5. What is the lowest common multiple of k and (-33)\/x + (0 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k - 10, 0 = -5*o + 2*k - 825. Let c = o + 649\/4. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*u = 235*u - 4*g - 28, -65 = 6*u + 5*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**4\/12 - y**2. Let k be (-102)\/4*(-8)\/4. Let r(j) = 51 - 16*j - k. Determine w(r(q)).\nAnswer: -32*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -18.9995. Round l to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2619 + 2639. Put 0, j, -9 in ascending order.\nAnswer: -9, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 - 18*j**2 + 10*j - 203. What is w(9)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -29 - 12 - (-1 + 4 - 0)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d + 9. Let w(r) = -2*r + 5. Give -3*u(p) + 5*w(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 14. Let s be m(7). Suppose s = -i - 2 + 7. Which is the second biggest value? (a) i (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*j + 608 = -202 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*y**4\/5 + 1786*y**3\/5 + 177606*y**2\/5 + 5939406*y\/5 + 3881196\/5.\nAnswer: 2*(y + 99)**3*(3*y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*a - 4*t + 144, -5*a = 3*t - 168. Let u be a\/15*(-10)\/(-4). Let r(g) be the first derivative of 2*g**3\/3 - 9*g**2\/2 + 9*g + 50. Determine r(u).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29269 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 592 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102836 is divided by 351.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -177.2901 to zero dps.\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3662 - 1234 - 1175 - 1130 + 7*m**2 in the form z*m + i*m**2 + b and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*(-1)\/28 + 23\/4. Is 2 - -1594*21\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 123*g - 265*g + 132*g + 30 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1074 = 1446. Put a, -1, 5 in decreasing order.\nAnswer: a, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 8:27 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 5 = 28*z + u, 4*u = -2*z - 18. Let d = 0.01 - -0.59. Which is the closest to d? (a) z (b) -3\/25 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8 + 2*d - d + 2*d. Let c(y) = -3*y - 5. What is the lowest common multiple of c(-7) and o(6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m. Suppose 0 = -2*g - 3*g + 10. Let f(c) = c. Let y(x) = x**2 + x + 1. Let i be y(-5). Suppose -80 = 5*v - i*v. Calculate g*k(s) + v*f(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2851 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1135*d. Let r(j) = 2*j**2. What is r(f(c))?\nAnswer: 2576450*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, e: 1, o: 1, n: 6, c: 1, f: 3}. Give prob of sequence fce.\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 34589937?\nAnswer: 5\/34589937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (1\/(-3))\/(1\/(-9)). Let s be (-4)\/(-24) - (-2)\/24. Determine b, given that -1\/8*b**2 + 0*b + 0 - s*b**o - 1\/8*b**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.04 - 8. Let n = -0.04 + y. Let j = -2\/35 - 31\/70. What is the closest to j in 1, n, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 3:52 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - y + 196 + 6608, -5*p + y + 6806 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -58. Suppose g = -6*n + 9*n. Is 11 a factor of (-14)\/(-56) - (-366)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*y, 14*y - 26238 = -2*z + 9*y. What are the prime factors of z?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2 + 3 + d**3 - 23*d - 71*d**2 + 66*d**2. Determine o(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -6 - -10) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -15*m**2 + 7*m + 4. Let y(n) = 13*n**2 - 6*n - 3. Let h(o) = -2*r(o) - 3*y(o). Calculate h(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-615)\/164)\/(-5))\/((-42)\/80)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*q + 44, 3*q + 4*w = -w + 33. Calculate the smallest common multiple of q and ((-4)\/12)\/((-3)\/81).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*p - 20*p - 38*p)*(16*p + 93*p + 305*p + 141*p) to the form m*p + y*p**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -167 + 152 - 301*f**3 - 175 wrt f?\nAnswer: -903*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -439, -1467, -3465, -6757, -11667, -18519, -27637?\nAnswer: -39345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 + 113. Let q = r - 521\/8. Calculate the common denominator of q and -51\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 + 11. Let h = p - -46. Let u be -1*12\/20 + h. Put 1\/8, -2, u in descending order.\nAnswer: 1\/8, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -53520?\nAnswer: 53517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -239332*s + 2393309. What is a(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 4, 3, 1, -3 in ascending order.\nAnswer: -3, 1, 3, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 434 - 485. Which is smaller: n or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -142 (c) 2\/13 (d) 0.1 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6)*18)\/(-39)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21727 is divided by 1297.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 220 = 2*j. Let m(g) = g**2 - 3*g - 8. Let i be m(6). Let a be j\/i + (-2)\/(-4). Solve h + 1 = -o, 4*h - a*h = o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, 1\/8, -25?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3504332?\nAnswer: 2, 13, 67391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 630?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, -299.958, -15?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -6\/5, -3, 0.03, 7.9, 36 in descending order.\nAnswer: 36, 7.9, 0.03, -0.6, -6\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1744623 divided by 60.\nAnswer: -581541\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -107 + 127. Suppose 2*q - 5*h - 21 = 0, i*q - 6*h + 7*h = 12. Solve 17 = q*f + 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8719 equal to -8877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -26*l**2 - l + 1. Let t(s) = -4068*s**2 - 4725*s - 3. Let b(r) = -3*q(r) - t(r). Find the second derivative of b(j) wrt j.\nAnswer: 8292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101101 (base 2) in base 12?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1408.403l?\nAnswer: 1408403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5 + 1. Let q be (l - -6)\/(-1 - -2). Let f(a) = -a**2 + 8*a - 12. Let s be f(4). Calculate the greatest common divisor of q and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 + 147564*i + 378883725\/2.\nAnswer: 3*(i + 1301)*(i + 97075)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 2*i + 0*i**2 + 1\/15*i**6 + 1\/3*i**3 + 3\/10*i**5 - 3 + 1\/2*i**4. Let r(d) be the first derivative of g(d). Factor r(o).\nAnswer: 2*o*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idiododmio. Give prob of picking 1 o and 3 i.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2*t - 2516, -5*t + 471 = 23*c - 22*c. Calculate the highest common factor of c and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*g = -10, u - 4*g - 7 = -27. Let j be u - (22773 + 2 + -3). Let t = j - -53872. What is t rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of (3*113)\/(2460\/340300)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -29704*u - 178174. Determine o(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*t + 346 - 82 = -191 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*z - 5*k, -3*z + z + 4*k = -4. Suppose 0 = z*b + 67 + 65. Let r = b + 69. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(700) + -4 + 2)**2 - (sqrt(49) - (sqrt(49) + -3*sqrt(196)\/sqrt(4)))\/((sqrt(70)*2)\/sqrt(10)).\nAnswer: -163*sqrt(7)\/2 + 2804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.128 + -0.024. Let c = 5.152 + r. What is the closest to 15 in c, -0.3, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 124 - -79. What are the prime factors of d?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-3 - -20) + 118 + -211 + -6?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*v + 4*v + 0*v + (0 - v + 0)*(1 - 1 - 2) + v + 0 + 0 + 8*v + 8*v - 6*v + (2 - 2 - 1)*(-v + v + v) + 2*v - 5*v + v - 6*v + 3*v + 2*v + v + 2 - 2.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9106.2 - -9089. Sort -0.08, x, -2 in descending order.\nAnswer: -0.08, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 354*a + 31604. Give n(-85).\nAnswer: 1514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-47))**(-3\/7)\/((v\/(v*v*v\/(v\/v**(-5))*v*v))\/(v**(-3\/5)*v))**(2\/59) assuming v is positive.\nAnswer: v**(41483\/2065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 788 + 389 + 399.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 22*p - 18. Put -163, p, 3, 0 in descending order.\nAnswer: 3, p, 0, -163","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*s**5 + 80*s**4 - 12890*s**2?\nAnswer: -1680*s**2 + 1920*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205403 and 396?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-36) + (-2)\/8. Suppose 5*z + 7 = y - x, y = -2*z. Let l be (2 + -4 + z)\/((-2)\/6). Calculate the greatest common divisor of 18 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, r: 1, c: 2, h: 1, s: 2, w: 1}. What is prob of sequence hss?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4168, 6347, 8518, 10681, 12836, 14983, 17122?\nAnswer: 19253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-2 + 1 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4 - 13*q**2 - 2.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -3, 8, -1, -120 in increasing order.\nAnswer: -120, -3, -1, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123627 - 1219\/3*d**2 - 124033*d - 1\/3*d**3 = 0. Calculate d.\nAnswer: -609, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-2) - (3 - -6). Let m = p + 19. Let t = m + 47. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/100)\/(9\/(-60)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + (-3)\/(-9)*2*-6. Solve 0 = -18*y + 14*y - z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9730 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = -7*k + 12*k. Suppose -k = -199*n + 197*n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(1\/21)*u*(u**(4\/11)*u*u)\/u)**(4\/29))**(-26) assuming u is positive.\nAnswer: u**(-103688\/6699)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 3:01 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -152018*a**3 + 10*a**2 - 8*a + 20. Let d be y(2). What is d rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9) - ((-85)\/(-18) - 3)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 14*p - 18*p + 8, 5*c = -5*p - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 877155, 877156, 877157, 877158, 877159?\nAnswer: 877160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(16\/5)*s)**(-37\/2) assuming s is positive.\nAnswer: s**(37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 3*c**2 - 14*c + 22. Let v be x(-6). Let u(t) = -16*t**2 - t - 4. Give u(v).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/9 + 10\/(-45). Suppose -s + 5 + 2 = w. Let z = s + -7. Let a(n) = n**2 + n + 6. Determine a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -3529*s**3\/6 - s**2\/2 - 97*s. Let b be v(1). Round b to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*i - 21*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.5 - -1241327.\nAnswer: 1241339.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 5*p**2 + p - 1. Let n be m(5). Factor -y**2 + 3*y**2 - 3*y**4 - 5*y**4 - y + y**5 + 6*y**n.\nAnswer: y*(y - 1)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-5) + (-95)\/(-25) + -2. Suppose 0 = n*p - 7 - 25. What is the lowest common multiple of 44 and p?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -26.711299.\nAnswer: 80.133897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -18. Let t = -21 + 27. Calculate the highest common divisor of n and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*w - 6030 + 1260 = 7087 + 78 for w.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1, 3, 619641.\nAnswer: -14, -1, 3, 619641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5.4. Let r = -6.47 - -5.7. Let v = 0.23 - r. Do g and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b + 4*b**5 + 6*b**5 + 23*b wrt b.\nAnswer: 200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -504 + 1334?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154997.\nAnswer: 3, 17, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(126\/56*8\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.159566.\nAnswer: -0.319132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.4111483 to two decimal places.\nAnswer: 3.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176424 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/13, -2\/13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.7311794 to 1 dp.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-5)\/(3\/(0 + (-9)\/3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 74*x - 82. Let t(c) = 2*c. Let q(u) = 6*t(u) + v(u). What is the units digit of q(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7c (base 14) to base 6\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2 + 3*w - 3. Let u be n(-3). Suppose 5*y - 8*y + 30 = 0. Calculate the least common multiple of u + (-2)\/4*2 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 2*q - 3*w, -5*w - 75 = -2546*q + 2541*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -84 + 67 - (-5 + 4)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14225 - -398413\/28. Calculate the common denominator of w and 17.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314 - 61*s + 30*s + 251 + 29*s.\nAnswer: -2*s + 565","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 3. Let g be 1\/2*(-14)\/1. Let b be i(g). Solve 2*w - 4*y - b = -2*w, 2 = 2*y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 12:56 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11876620 is divided by 545?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 27 = 4*u, 0*u + 2 = 2*j + 5*u. Suppose -r + j*r = 160. Calculate the highest common factor of r and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 8. Suppose -v - 2*v + 5 = -y, y + v + 1 = 0. Let c be (1\/1 + y)*(2 + -1). Put 4, c, k in increasing order.\nAnswer: k, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 31*g = 29*g + 22, -3*v = 2*g + 13 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 262*s - 140*s - 115*s in the form l + q*s and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 2\/9, -5, -2\/115, -0.7, -6\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-10 + 16 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 21*q + 74. Let h be i(24). What is the highest common divisor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 55 = 6*q. Suppose q = -3*c + 4*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67? (a) -26\/7 (b) -3 (c) 1\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/9 + (-4)\/18. Let w be (-8)\/6 - (-4)\/(-6). Let q = w + x. Solve m + q*m - 11 = 4*b, -m + b + 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 - 13*f**2 - 10*f + 24.\nAnswer: -(f - 1)*(f + 2)*(f + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 7*l + 12*l + 1 - 1 - 2*l + (2*l + 0*l + 0*l)*(1 + 0 + 1) + 4*l - 2*l - 3*l)*(-l**2 + l**2 - l**2) to m*l**3 + c + b*l**2 + r*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1052 + 2864. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5669?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (sqrt(170) + 2*sqrt(170)))*6 + sqrt(170) + ((sqrt(170)*1 - sqrt(170)) + sqrt(170))*3)\/(sqrt(30)\/sqrt(3)*-4 + sqrt(20)\/(-2*sqrt(2))).\nAnswer: 16*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-1138\nAnswer: -341.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + v = 2032, 5*q = 8*v - 3*v + 2515. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 9*u - 2. Let z(y) be the second derivative of y**5\/60 + 61*y**3\/3 - 3*y - 2. Let l(h) be the second derivative of z(h). Give g(l(k)).\nAnswer: 18*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 12:19 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20 + 1 + -6)*56\/(-10). Let g = 100 + b. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**2 - 14*o + 5. Let r be f(3). Calculate the greatest common divisor of r and 1819.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from nksskq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 946756 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30695\/31344 - 1\/7836. Calculate the common denominator of n and 26\/(-72)*(-35)\/(-60)*8.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 0, 1, -4, -3, 287, 2.\nAnswer: -4, -3, 0, 1, 2, 39, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a + 16. Let o be t(-7). Factor -2*g**o - 509 - 100*g - 659 - 82.\nAnswer: -2*(g + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 855123187 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(539\/518) + 4\/(-22)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o + 10 - 10)*(-7 + 2 - 5)*(0 - 1 + 2 + 0 + 3 - 4 + (-3 + 3 + 2)*(0 - 1 + 3) - 2 - 2 + 3 + 0 - 1 + 3 - 3 + 5 - 3 + 2 - 4 - 1).\nAnswer: -80*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-63)*3\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from {w: 2, l: 1, p: 1, h: 2, f: 1, c: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 396\/60)*-5. Suppose 2*y = -3*f - 3*y + 24, 0 = -5*f - 5*y + 30. What is the tens digit of f*1\/(x\/69)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 244 and 2806.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 141\/9*-3*-1. Let i(m) = w - 12*m - 25 - 22. Let s(p) = p. What is i(s(y))?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/6)\/(1\/(-15)). Suppose -4*f - 4 = -20. Suppose 0 = -3*w + 4*w + f*d + 4, 26 = 4*w - 5*d. Solve -a - x = w*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4748 (base 10) to base 9\nAnswer: 6455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 10:53 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 203*a**2 + 70*a - 69. Calculate the remainder when t(1) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, 0.1, 2\/91?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -233823249170846+-5\nAnswer: -233823249170851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -233 (base 4) to base 5\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*d - 3*d - 3, -4*d = 2*p - 24. Let g be 11 - -2 - (-5 + p). Calculate the greatest common factor of 36 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (19 - 7) - 7) + -10 - -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 6:20 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 5:23 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 3:38 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 8, -0.4 in descending order.\nAnswer: 8, 1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - 3 + 3 + (-8 + 3 - 1)*(2*q - 4*q + 0*q) + (-4*q + 0*q + 2*q)*(-1 + 1 - 1) - q + 0*q + 2*q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/37 and -145\/1722.\nAnswer: 63714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8719?\nAnswer: 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1705*o**2 - 33248 wrt o.\nAnswer: 3410*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3704, -7319, -10728, -13829, -16520?\nAnswer: -18699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f + 51. Let p = f + -12. Suppose v - 4 = -2*x, -6*x + 5*v = -x - 40. Solve -x*j + 6*j + 10 = p*u, -3*j = -u + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-4)\/(-45))\/((-6)\/(-15))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t. Suppose 4 - 1 = -m. Let f(z) = -4*z + 0*z + 0*z. Calculate m*p(r) + 7*f(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2489252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1456 and -5\/2184.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 94961100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -592, -700, -818, -952, -1108?\nAnswer: -1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q - 438 = 0. Let j(y) = -y**2 + 17*y - 36. Let v be j(19). Let c = q - v. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/17352 and 24\/293297?\nAnswer: 21117384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 9 - 4*c + 3*c + (5 - 5 - 1)*(3 - 3 + c) + c - 2*c + 3*c - 4*c + 0*c - c + 3 - 3 - 8*c.\nAnswer: -13*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, x: 1, i: 8}. Give prob of picking 4 i.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/(-1) + -2 + 2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5441 + 18439. What is the greatest common factor of f and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + p**2 + p**2)*(-2*p**2 - 2 + 2) - 11 + 11 + 4*p**4 + (-3*p**4 - p**4 + 5*p**4)*(2 + 0 - 1) + 3 + 2*p**4 - 3.\nAnswer: 11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.8825 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 22\/3 (b) 0.5 (c) 0.2 (d) 2\/3 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -820698, -1641399, -2462102, -3282807?\n\"Answer: -r**2 - 820698*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2324 - -435. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2. Let h(g) = -25*g. What is h(w(k))?\nAnswer: -75*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14934775423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 + -357\/5. Let w be (-2)\/6 - 0 - -2. What is the nearest to 1 in w, g, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 209 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803085.\nAnswer: 3, 5, 37, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1086.5 + 858. What is v rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 6*j**2 - 9*j - 1. Let y be u(-7). Let g = y + -8. Suppose 0 = g*w - 23 - 7. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m. Let a(w) be the first derivative of 622*w**2 - 2119. Give j(a(s)).\nAnswer: 2488*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 53720334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-5) - -26*(-3)\/(-30). Suppose 0 = -o - 2*i + 10, 4 - 2 = k*o - i. Let 2\/3*z**o + 4\/3*z + 2\/3 = 0. Calculate z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-132)\/(-22) - 2\/2. Let n(a) = 20*a**2 - 16*a - 6. Calculate the remainder when n(g) is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 4900860?\nAnswer: 7\/4900860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/30)\/((-4)\/(-1))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 32 = -z. Suppose -z*m = -2*m - 48. Let t(f) = -f + 9. Give t(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46780.\nAnswer: 2, 5, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66452 + -26845. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*-1 - (-257 + 6). What is the greatest common factor of f and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*x + x + f, x = 4*f + 16. Suppose -4*u + 4*o = 8 + 48, x = u - 2*o + 17. Let i = -9 - u. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1560 and 5290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -14*w**5 - w**2\/2 - 25*w + 37. What is the first derivative of r(n) wrt n?\nAnswer: -280*n**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/50*3\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -230258 + 691720\/3. What is y in 446\/3*y**3 + 72 - 254*y**2 - 96*y + i*y**4 + 242\/3*y**5 = 0?\nAnswer: -3, -1, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240000 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -45, -3, 27.\nAnswer: -45, -3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42\/(-63) + 1*(-16)\/(-6). Let b be 2 + 172\/(-80) - q\/(-5). Let g = -3 - -2. Is b less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576526 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, 59, -5, 11 in descending order.\nAnswer: 59, 11, 9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c + -2b?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n**4 + 140 - 95 - 3*n**4 + (-3 + 3 - 2*n**2)*(-2*n**2 + 4*n**2 - 3*n**2) + 3*n**4 - 2*n**4 - 2*n**4 + 8*n**4 - 101*n**2 + 101*n**2.\nAnswer: 12*n**4 + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -923*w**6\/30 + 475*w**3\/6 - 68*w + 4. What is the second derivative of f(y) wrt y?\nAnswer: -11076*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = -9*u - 266. Let d be ((-95)\/u)\/(2\/6). Find s such that -3\/5*s**d + 0 + 12\/5*s**2 - 12\/5*s + 9\/5*s**3 - 6\/5*s**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 14198\/29, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20727252 divided by 54834\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1025 and 1832905?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -16\/3035679?\nAnswer: -16\/3035679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 57*m + 78*m - 4, 12*m - 13*m = 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24751 rounded to 3 dps?\nAnswer: 0.248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*i = -7, -25*x + 23*x = -i + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**5\/9 - 11726*u**4\/9 - 18774310*u**3\/9 - 9144280306*u**2\/9 - 6077428192*u\/3 - 1011862984 = 0.\nAnswer: -3617, -1122, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2117042*f**2 - 32*f - 125.\nAnswer: -4234084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54279885 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -178 + 368. Calculate the greatest common factor of q and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-8)\/48)\/(2\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 1\/24*d**4 - 1\/60*d**5 + 3*d**2 + 0*d + 0 + 0*d**3. Solve i(v) = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1354, 12117, 41420, 98533, 192726?\nAnswer: 333269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3683.\nAnswer: 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 26 = -2*i. Suppose 2*k = 5*l + 28, 3*k - 4 = -2*l - 0. What is the lowest common multiple of (9\/2)\/((-1)\/l) and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 9:06 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 + 4 - (-1064)\/12*6 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/10 and -51\/1983064.\nAnswer: 9915320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -74510.8 and -11436.\nAnswer: -85946.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4847 + 4886. Calculate the greatest common factor of j and 4836.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1016.91 - -1017. Let b be (-155)\/(-20) - 3 - 5. Which is bigger: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 5*d + 2. Let b be u(4). Let w be (0 - 1)*2\/b. Let t be (4\/2)\/(-6 + w). Is t bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -1\/12, 1\/5, -0.5, 390529?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -99a7857 + -8?\nAnswer: -99a7862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 31. Suppose -5*s + 116 = 5*j - j, -s + 36 = v*j. Suppose 0 = 2*d + 2*q - 6, -d + 6*q = q - 27. Calculate the remainder when s is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/90 and 173\/2574.\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -34. Let f = x + -12.65. Let b = f - 0.3. Round b to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -744\/181?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**8\/p*p)\/p)**(-14)\/(p\/p**(3\/14)*(p*p\/(p*p*p*p**19)*p)\/p) assuming p is positive.\nAnswer: p**(-1495\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4 + 1691*w**3\/3 - 12820*w**2\/3 + 17804*w\/3 - 2224 = 0 for w.\nAnswer: 2\/3, 1, 6, 556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 72633 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -692 - -755. Suppose 6 = 5*p - 3*v, -10 = -62*p + k*p + 5*v. What is g in 9\/5*g**2 + 3\/5*g**4 - 9\/5*g**3 - 3\/5*g + p = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 3*t**5\/20 + t**4\/4 - t**3 - 164*t - 2. Solve v(w) = 0 for w.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 7. Let z be i(3). Suppose -2*r = -z*v + 3*v + 14, -5*v = 4*r + 42. What is the hundreds digit of (218\/r)\/(11\/(-44))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2934, -11720, -26364, -46866, -73226, -105444?\nAnswer: -143520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010010001 - -111110011?\nAnswer: -11010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 + 10\/15. Suppose u = -3*f - 2 + 8. Find the third derivative of -8*d**4 + 0*d**4 + 2*d**4 + f*d**4 - 13*d**2 wrt d.\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 71?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-34336)\/(-800) + -62.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(352) + -2*sqrt(352) - sqrt(352)) + -1*sqrt(2662))\/(3*sqrt(1568)))**2.\nAnswer: 3971\/7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - s - 1409 = -1408, r + 4*s = 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3920 = 695*b - 622 + 372. Suppose 3*v = -3*t + 2 - 11, -3*v = -3*t + 9. Suppose 0 = -t*a + 3*a - 6. Solve s + a*s = -3*i + b, 2*s = 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 589909?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 145\/62 - 2921\/1302. Let z(y) be the first derivative of w*y**3 + 12\/7*y + 16 + 5\/7*y**2. Solve z(g) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4315.7 + 4313.2689. Round c to one decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - i - 1432025 = 4*i, 3*i - 715985 = -2*q. Round q to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23729 and 23241?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 17682?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.7 + 6.7. Which is the closest to h? (a) 5 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24065096 divided by -3112?\nAnswer: 7733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*m = m - 6*m - 19775614. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 33 + 22)*(-h + h - h)*(3*h + 2*h - 4*h - 1).\nAnswer: -39*h**2 + 39*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107993 is divided by 288.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51711 is divided by 17051.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-12)*3*10. Let k = 50 + -57. Let y(w) = -5*w - 35. Let v be y(k). Solve 3*z + 7 + d = v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48332?\nAnswer: 2, 43, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-25)\/((b**(4\/5)*b*b)\/b)*b**(-20)*b*b\/(b\/(b*b**(2\/11))) assuming b is positive.\nAnswer: b**(-2454\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*m + 52, -x - 32 + 9 = -2*m. What is the greatest common factor of m and 972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.75 * -16796.\nAnswer: 12597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**8\/2240 - g**7\/280 + g**6\/80 - g**5\/40 + g**4\/12 - 31*g**2 + 22*g. Let a(y) be the third derivative of f(y). Factor a(i).\nAnswer: 3*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49956309, 49956309, 49956307, 49956303, 49956297?\nAnswer: 49956289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8775708 millilitres?\nAnswer: 0.0008775708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 5*h**2 - 5*h - 6. Suppose -2*r - 18 = -5*r. Let z be b(r). Let p(t) be the second derivative of t**4\/12 + 2*t**2 + 2*t. Calculate p(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11745, 11767, 11789, 11811, 11833, 11855?\nAnswer: 11877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-10))\/(828\/690).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14424 - 0.140729. What is g rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9477 + -9432. Calculate the remainder when 335 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + 544*o**2 - 1083*o + 798. Determine g(270).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12867002?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/(-8))\/(-11)*(-24236)\/219.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65467848\/481 + 136108. Let i = 2\/37 - z. Is 1 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/5 + 2918*x**3\/5 - 4646*x**2 + 20314*x\/5 = 0. Calculate x.\nAnswer: 0, 1, 7, 1451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a - 4. Let d be j(2). Suppose 7*p - d*p = -2. Let s(f) = -3*f - 2. What is s(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 - 2*f**3 + 3*f**3 + (7*f**2 + f**2 + 3*f**2)*(9*f - 7*f - 30*f)*(1 - 2 - 2) in the form k*f**3 + x*f + j*f**2 + q and give k.\nAnswer: 926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + 30\/9)*(10 + (-207)\/18). Put -12, -1, u, -4, 4 in increasing order.\nAnswer: -12, u, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1369 is divided by 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 + 835*y**3 - 4260*y**2 + 6860*y - 3440.\nAnswer: 5*(y - 2)**2*(y - 1)*(y + 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119 + -65. Calculate the remainder when r is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 232 + -1161\/5. Let n = 3.5 + -3.3. What is the closest to n in 3\/4, -4, -25, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 8) to base 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 2929*f - 11746. What is t(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2820486 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 648*o**3 + 39*o + 47*o + 38*o - 124*o.\nAnswer: 648*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -157, -158, -159?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.239 and -0.2.\nAnswer: -0.0478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/11, -4, 14\/13, 0.06, -36?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 861328*w - 1971192?\nAnswer: 861328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (384\/(-36) - -11)*((-15)\/(-21) + -1)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79641658.\nAnswer: 2, 1229, 32401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 - 25*o**3 + 5*o**3 + (0*o**3 + o**3 + 0*o**3)*(-1 + 4 - 5) + o**3 - 3*o**3 + 3*o**3 - 3*o**3 + 4*o**3 - 3*o**3.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4777 + 4762. What is the closest to -0.1 in -2\/3, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**3 - 11*o**2 - 32*o + 310. What is y(7)?\nAnswer: -2511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**3 + 195*q**2 - 381*q + 189 = 0.\nAnswer: 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 2. Let a(z) = z - 1. Let t(w) = -7*a(w) - 3*d(w). Give t(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14880 and 203067360?\nAnswer: 203067360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33080.1 - -31767. Round s to the nearest ten.\nAnswer: -1310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and (-9)\/((-9)\/23) - 5.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 2) + (12 - 1 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/(-21))\/(5\/3). Which is bigger: x or -12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + sqrt(272) + sqrt(272) + 0 + sqrt(272) + 1 + (sqrt(272) + 0 + -5 - sqrt(272)) + -4 + 1)**2*-6.\nAnswer: -14711 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 797.3 + -832. Let q = 5.3 - i. Let a = q - 40.000128. What is a rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 1, x: 4, c: 1, m: 3, y: 5}. Give prob of sequence yy.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-4 + sqrt(228))*5 + sqrt(228) + sqrt(228) - sqrt(228) - -6*(1*sqrt(228) + sqrt(228)))\/((-2*sqrt(120)*6)\/(sqrt(50)\/sqrt(5)*-6)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -5\/7*p**7 + 55 - 5\/4*p**4 + 0*p**6 + 0*p**5 + 2\/3*p**3 + 0*p + 11\/2*p**2. Find the third derivative of f(u) wrt u.\nAnswer: -600*u**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*i + 3*d - 12, 0 = -3*i + 3*d - 6. Let o = 6 - 6.1. Let p = o - 3.9. What is the third biggest value in p, 2\/7, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -8. Let l be 9\/15*(-4)\/6. What is the biggest value in l, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(3\/26)\/c*c**(-3\/4))**(-1\/6))**18)**(-16) assuming c is positive.\nAnswer: c**(-396\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(4 + 3*-1*sqrt(7)))**2 + 5.\nAnswer: -2304*sqrt(7) + 7589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 63*j = 15*j + 840 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -203 - 608*a + 616 - 204 - 209 to the form k + h*a and give h.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(13) + (sqrt(13) - sqrt(65)\/(sqrt(20)\/sqrt(4))) - (-2 + sqrt(13)*-2)*-5)**2 - (-1*1*sqrt(637)*-5)**2*5.\nAnswer: -78508 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c + 2*c**2 + 5*c. Let a(k) = -24*k - 4. Let u(p) = -p - 21*p + 4 - 7 + 0*p. Let y(m) = 3*a(m) - 4*u(m). What is s(y(x))?\nAnswer: 512*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1343553451 - -4?\nAnswer: 1343553455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvngwbvbnwnvgwnb. What is prob of sequence nwg?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 15, -4*q = -s - 14 + 4. Let l be 0\/(-2) - s*-1. Let p(x) = 7*x**2 - 3*x - 1. Let j(h) = -h + h**2 + 3*h**2 - h**2. Determine l*p(c) - 5*j(c).\nAnswer: -c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 14) to base 15.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.025*-0.34\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -177*x**2 + 185*x + 1234. Determine y(-6).\nAnswer: -6248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11527378.5000003 - 11527378. Let x = 0.3 + 0.2. Let q = x - w. What is q rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o**2 - 3 + 5 - 2.\nAnswer: 35*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**1)\/y)\/y)**(-10))**(-42) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30677, -30106, -29523, -28922, -28297?\nAnswer: -27642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*((-12)\/15 - 0). Suppose -3*w - k = -150, 4*w - h*k - 219 = k. Let a = w - 22. Calculate the greatest common divisor of a and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -9. Let s = -38.8 + 44. Let m = 5.3 - s. Put m, q, 5\/4 in descending order.\nAnswer: q, 5\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -360 (base 11) to base 3\nAnswer: -120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62230409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**3\/3 - 6*y**2 + 12*y + 36. Determine w(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*l = -58*l. Suppose l = -2*f - 4, -4*b - 9 - 3 = 4*f. Which is smaller: b or 4\/15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m + 76*m - 2629 - 4045 = -23*m for m.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19677 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - 140\/77?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 537792 (base 11) to base 15\nAnswer: 11e9b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -21?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1242*h**3 + h**2 - h + 511*h**3 + 594*h**3 + 3 + (1 - h - 1)*(-h**2 + 2 - 2) to the form t + m*h**2 + f*h + a*h**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3520 and 704.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 495*j**3*v**3 + 17*j**3*v**2 + j**3*v - 2*j**2*v**5 + 10*j wrt v.\nAnswer: 2970*j**3 - 120*j**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11021222021 + -122?\nAnswer: -11021222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1248852?\nAnswer: 2, 3, 11, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 766 = 94. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 4*x + 17. Let j be d(-7). What is the third smallest value in -32, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10000 (base 2) to base 15\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2. Let s be 6 + -3 - q*2. Solve -o + s = h, 5*h + 13 - 35 = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167372, -334742, -502112, -669482, -836852, -1004222?\nAnswer: -1171592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -4*p - 4*s + 40, 0 = s - 5. Suppose -2*a = -3*v - p - 4, 34 = 4*a - 2*v. Solve 0 = -6*n + 4*n + a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(3\/10)))**(13\/4)*z**(-6)*z**(-11\/2)*z assuming z is positive.\nAnswer: z**(-459\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 5. Let j be m(8). Let x = j + 7. What is the highest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1753012.\nAnswer: 2, 438253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 817 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5602477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.25, 0, -4, -0.0344, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0864 - 1620294537.\nAnswer: -1620294536.9136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**4\/4 - 5*n**3\/4 + 149*n**2\/4 + 245*n\/4 - 49\/2 = 0.\nAnswer: -7, -2, 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(((-52)\/4)\/13)\/(-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*o + 80*o = 30*o - 75 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 15 = -3*i, -4*w + i - 20 = -8*w. Let y(b) = b**2 + 3 + 2*b - b + w*b + 0*b. Suppose -9 = 2*q + 3. What is y(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -60335318880.\nAnswer: -60335318876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 273 - 273. Factor 7\/3*y**4 + 11\/3*y**2 - 2\/3*y + s - 16\/3*y**3.\nAnswer: y*(y - 1)**2*(7*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610851 is divided by 175?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 23*f - 71. Let q be s(26). Let u be (-1)\/(-2) - 13799\/(-2). Suppose -u = q*p - 4*p. What is p rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, h: 1, u: 1, k: 2, v: 1, g: 1}. What is prob of sequence bgku?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 12, b: 7}. Give prob of picking 1 p and 2 b.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8*((-9)\/(-6) + -1)*-1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(-2\/31)*l*l*l\/(l*l*l\/(l**(-8)*l))*l\/(l\/l**(-5\/7)))**(4\/17) assuming l is positive.\nAnswer: l**(-6752\/3689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*x - 8214 = -30*x - 582 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102146246.\nAnswer: 2, 293, 174311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4125 divided by 375?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:45 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 8, 8*y + 20248 = 4*d - 0*y. Is d a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 727, -586, -2777, -5846, -9793, -14618?\n\"Answer: -439*t**2 + 4*t + 1162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127020 and 4860?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.3, 0.16, 5, -2 in descending order.\nAnswer: 5, 0.3, 0.16, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*y - 9*y + 2*y in the form s*y + c and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*w**2 - 78*w**2 + 3*w**4 + 46*w**2)*(5*w + 6*w + 0*w).\nAnswer: 33*w**5 + 110*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 512*n - 22004. Calculate p(43).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 17 = 4*o + 11*i, -4*i + 13 = -3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2070 = -197*b - 10*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2311313220 (base 4) to base 9.\nAnswer: 1354766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112 + -87 - (2 - (-2 - -4)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (546\/(-7))\/(594\/(-99)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -0.4, -0.41, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 + 159 = 73*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3958, 3940, 3914, 3874, 3814?\n\"Answer: -u**3 + 2*u**2 - 17*u + 3974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4 = 2*g, -4*g + 9 = -11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p. Let s(a) = -a - 1. Let g(f) = 2*f + 1. Let i(m) = -3*g(m) - 5*s(m). Let y be i(-4). Let v(q) = 5*q - 2*q - q - 3*q. Determine y*v(t) + 2*u(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -71.4 times -0.79983\nAnswer: 57.107862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -11*w - 153 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*a**4 + 28*a**4 - 2*a - 54 - 21 - 17*a**4 wrt a.\nAnswer: 76*a**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + v + 318. Let i be c(0). Suppose 4*x - 2*p - i = 0, 2*p + 400 = 6*x - x. Suppose -64 = -2*s + x. What are the prime factors of s?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19139246 and 848538.\nAnswer: 172253214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 208 + 119 = 6*u + 279, k + 28 = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 11*o + 14. Let m be r(-13). Let z = m - -108. Calculate the smallest common multiple of 60 and z.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 4*m - 31, 4*q - 2*m - 111 + 139 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/30)\/(4\/(-5)). Let s(r) = -4*r - 32. Let w be s(-8). Which is the closest to w? (a) -0.5 (b) -0.06 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 14*h + 4. What is q(-7)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 - -99. What is the remainder when 69 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*c - u + 2, 4*u - 8 = 3*c. Suppose -4*a - 2*r - 20 = c, 0*a + 4*r = -4*a - 12. Let s(l) = -l**2 - 14*l. Is s(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -10*l**3 + 406*l**2 - 2216*l - 952 = 0.\nAnswer: -2\/5, 7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 2:44 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*o = 3421 + 20385, -3*c = 4*o - 17860. Suppose -42*q = -34*q - c. List the prime factors of q.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 + 806*c - 1614.\nAnswer: (c - 2)*(c + 1614)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5753268 * -0.2\nAnswer: 1150653.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40850, 81701, 122554, 163409, 204266?\nAnswer: 245125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f + 16. Let k be m(3). Let a = 21 - 22. Sort -5, -8, k, a in descending order.\nAnswer: a, k, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 27*d - 70. Let o be f(3). Let s = -5 + o. Calculate the remainder when 191 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 2*v + v + 1384 - 1396, -2*v + 8 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -526, -4588, -15680, -37336, -73090?\n\"Answer: -589*r**3 + 19*r**2 + 4*r + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 124?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55959?\nAnswer: 3, 23, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27571 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -780 - -4?\nAnswer: -77c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0.1, 1 in descending order.\nAnswer: 20, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 4:13 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 99, 157, 259, 417, 643, 949, 1347?\nAnswer: 1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*k + 52 - 107 + 53*k + 55.\nAnswer: 90*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 26. Let r = 13 - t. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + 1)*3\/4. Suppose -5*l + d - 91 = a*d, 0 = -4*d + 8. Let f = 22 + l. Is f bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/16)\/((n*n*n*n**(3\/11))\/n) assuming n is positive.\nAnswer: n**(-411\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4687 and 40160.\nAnswer: -188229920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 43 = -82*n + 197, 3*n + 6*n - 5*k = 4*n + 45 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000065409868 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 176937979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + o - 17 + 15 = 0, -4*o + 17 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 514, 2140, 4770, 8338, 12778, 18024, 24010, 30670?\nAnswer: 37938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssss. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 195401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4519*v - 67*v**3 + 2 + 1493*v**5 + 4460*v + 67*v**3 wrt v?\nAnswer: 29860*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 5*q + 5. Let k be c(5). Let d(w) be the second derivative of -w**5\/20 + w**4\/2 - w**3\/6 - w**2\/2 - w - 27. Determine d(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r + 932. What is the units digit of l(23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -2*k**3\/3 - k**2\/2 - 8*k - 15. Give z(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-822)\/(-252) - 2\/(-3) and 47\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2603676509?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*a + 44*a + 79*a - 63*a.\nAnswer: 244*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119 + -117. What is the third biggest value in 0.06, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 100 + 60 = 0. Suppose 5*t + 0 = a. Suppose -t*w + 2*r = -15 - 245, 173 = 3*w + 4*r. Calculate the greatest common factor of w and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9112733 and 32545475.\nAnswer: 227818325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-149)\/(-3) - (2 + (-4)\/3). Calculate the greatest common divisor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + -502. Let q = 1355 + u. What are the prime factors of q?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 8) to base 3.\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 14*z + 20. Give a(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 84751 + 976 = 2*n, 3*n - 6 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -6*v - 39. Suppose 4*i + 0 + 2 = -5*l, l + 2*i + v = 0. Factor 0 - 1\/3*h + 0*h**l + 1\/3*h**3.\nAnswer: h*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(-2*sqrt(4)*-3).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y**3 - 6*y**3 + y**3 - 2*y**4 - 6*y**3 + 4*y**2 - y to a*y + b + s*y**4 + h*y**3 + c*y**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6 - 3*k + 6)*(4*k - 4*k + k) + 0*k**2 - 3*k**2 - 8*k**2)*(201 - 135 - 130) to b*k + f*k**2 + w and give f.\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 4688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 7) to base 6\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 189.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89633*v**4 + 115720 with respect to v.\nAnswer: -358532*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 12:55 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1662987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 - 1)*(5*d + d - 2*d)*(0*d**2 - 3*d**2 + 2*d**2).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (2\/21)\/(33\/(-1287))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9364280 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -22. Let q(p) = -3*p + 74. Let g be q(z). Solve 5*r = 8 - g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3662567 is divided by 150.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*(d*d**(-4\/11)\/d)\/d))*d\/(d*d**(-16)))**49 assuming d is positive.\nAnswer: d**(8428\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -65*y - 68. What is the hundreds digit of d(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038322 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12837841?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/13)\/(76\/(968240\/(-420)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 129686646.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 4 - 4)*(-2*t + t + 3*t)*(-3*t**3 + 2*t - 2*t)*(2 + 1 - 5).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y - 14. Let x be k(2). Let i(h) be the first derivative of 1 - h + 1\/2*h**4 + 0*h**3 + 0*h**x. Differentiate i(w) wrt w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**6\/120 + 7*h**5\/60 + h**4\/8 + h**3\/6 - h**2. What is the remainder when j(-5) is divided by (((-456)\/15)\/(-4))\/(2\/5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-11)*q)*q*q**(2\/9)*q\/(q*q**(-9\/2))*q**3)**(4\/11) assuming q is positive.\nAnswer: q**(710\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3\/5 (c) 27334 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31278721*y**4 + y**2 - 3*y + 390802?\nAnswer: 750689304*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 + l + 2. Let b(r) = r**2 + 27*r**3 + 17*r**3 + r - 1 - 45*r**3. Let g be b(0). Let y be q(g). What is the greatest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 135 (c) 84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-1) + 2 + 0. Find the second derivative of 1 + 22*u**5 + 4*u - 1 - n*u**5 wrt u.\nAnswer: 80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1004*y**2 + 39159*y + 26. Determine g(-39).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence toot when four letters picked without replacement from totoooooot.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*g - g - 3*o, 3*g + 2*o = 9. Let p be -4*6*(24\/4 - 5). Let y be (p\/8)\/((-4)\/(-2)). What is the nearest to -1\/3 in y, -2\/7, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/3 + 12)*66\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -4*v - 33, -22*j + 25*j - 2*v = 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2997 - -164828\/55. Find the common denominator of h and -29\/50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (9 - (-4 + 4 - -5)) - (-313 - -323).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56067?\nAnswer: 3, 11, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 2*z - 1. Let c(a) = -a + 14 + 9*a - 4*a + a - a**2. Let g(o) = c(o) + 2*r(o). Give g(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/16)\/((-3535)\/(-76356)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4325 at least -4091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -447*z**3 - 451*z**3 + 16 - 27*z - 28*z**2 + 897*z**3. Calculate the remainder when 111 is divided by o(-27).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3065 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 12:00 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/2 + 1\/(2\/158) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 + 240*c**3 - 245*c**2.\nAnswer: 5*c**2*(c - 1)*(c + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 3, c: 1, u: 2, f: 1, h: 3}. What is prob of sequence fjj?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 9*p - 10 = -2*r, -3*r - p = -4. Solve 0 = r*l + 8, 0 = -2*v - 0*v + l + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -666060441\/5.\nAnswer: -666060441\/5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/9 + 6916\/3 + 4. Suppose 2292 = 4*q + 4*j, 0*q + 5*j + r = 4*q. Suppose 3*k + 2*k - q = 0. What is the remainder when k is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*s + 3*m + 334, -2*m - 575 = -5*s. Suppose 3*q - 5*t - 759 = 0, q - s = 5*t + 140. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*q + 137, 89 = -4*q + 2*w - 23. Let s = q - -34. Solve -s*l - 10 - 10 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 3760005846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*p - 1 + 3, -2*d = p - 3. Suppose 3*f = 3*o + 4*f - 100, -f = d*o - 66. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**5 - 79105319*h**2 + 341715933*h.\nAnswer: 40*h**3 - 158210638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -98538 (base 15) to base 5\nAnswer: -110440203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i, -3*o - i + 6 = -0. Let x be o\/7 + 244\/28. Suppose -149 + x = -4*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/45899 and 46\/321293.\nAnswer: 321293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiey when four letters picked without replacement from eyeiyiee?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106 divided by -54?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**5 - 5*u**5 + 4*u**5 + (u + 0*u + 0*u)*(u**4 - 1 + 1) - u**5 - u**5 + 0*u**5.\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**2\/w)\/(w**(1\/3)*w))\/(w**(1\/4))**(-1\/24))**38 assuming w is positive.\nAnswer: w**(-589\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10801, -21624, -32451, -43282, -54117?\n\"Answer: -2*q**2 - 10817*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 + 37\/3. Let s = q - -56. Is -1 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**5 - q**4 + q**3 - q**2 + 1. Let j(s) = 3*s**5 - 3*s**4 + s**3 - s**2 + 2. Let v(p) = -6*i(p) + 3*j(p). Find n such that v(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -3*u**2 - 88. Let f(j) = 2*j. Let c(a) be the second derivative of a**3\/6 - 2*a. Let w(p) = -3*c(p) + 2*f(p). Give w(n(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*t = -8, -h - 2*t + 1 = -2. Let s(o) = -171*o - 66. Let v(j) = 79*j + 31. Let d(n) = 6*s(n) + 13*v(n). What is d(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*i - 79*i + 5. Suppose -14 - 6 = -i*z. Put z, 1, 12 in descending order.\nAnswer: 12, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267786 is divided by 8925.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 39 = -2*p - 3*y, 12 = p + 2*y. Suppose -2*z + p = -z. Solve -2*f + z*f = 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -589 + 603. Suppose 0 = r*a - 6*a. Factor a + 38\/3*v**4 + 2\/3*v**2 - 4\/3*v + 10*v**3 + 14\/3*v**5.\nAnswer: 2*v*(v + 1)**3*(7*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9383*x**3 + 3640*x**2 - 837839171 wrt x?\nAnswer: -28149*x**2 + 7280*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*s - 2*s + 30 = 0, 5*k + 71*s - 191*s = -1055 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 5*n + 5. Let x be (-912)\/(-36) - (-8)\/(-6). Let o = 28 - x. Let y(k) = 2*k**2 + 4*k - 4. Determine o*c(u) + 5*y(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**3 + 332*a**2 + 11598*a + 31860 = 0.\nAnswer: -118, -45, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2041*j**3*n + 5*j*n + 5*j - 10*n wrt j?\nAnswer: -12246*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/27)*t**(-2\/25)\/t)\/(t**(-1\/2)\/(t*t\/((t*t**(-9))\/t)*t*t)) assuming t is positive.\nAnswer: t**(16867\/1350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (256\/(-640))\/((-6)\/375)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126690 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2099 by -11.\nAnswer: -2099\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2353390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -84 (base 10) to base 14\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -153*s**3 - 2*s**2 + 1. Let w be h(-1). Let b = w - 137. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u = -39*u - 2*c - 8, -2*c = 4*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 505828.6ml?\nAnswer: 505.8286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03 and 202.867115.\nAnswer: 202.897115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.13*4661435\nAnswer: -5267421.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 16102*g**2 - 31595*g**2 + 20335*g**2 + (0 + 2 - 4)*(2*g**2 + 2 - 2) in the form q*g**2 + r*g + z and give q.\nAnswer: 4838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a58 (base 11) to base 6.\nAnswer: 121010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17 + 26\/(-39) + (-14)\/6. Suppose j*q - 19 - 23 = 0. Solve x - q*x = -8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, 1\/3, 558623, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -43, -83, -83, -19, 133?\n\"Answer: 4*j**3 - 4*j**2 - 56*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3370745\/6 or -561790?\nAnswer: -561790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710 = -4*d + 102*h, 0*d - 4*d - 3*h - 183 = h - 215 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 3*v - 5. Let w be c(-3). Suppose 0 = -4*s + 8*s - 12. Let d(n) = -7*n - 2 + s*n + 6 + 3*n. Let l(q) = q - 3. What is w*d(h) - 6*l(h)?\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000 (base 2) to base 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*p - 8. Suppose -7 = -5*g + 3. Solve g*z - 7 = b, 0 = 8*z - 3*z - 4*b - p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 224463125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.897518 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 9. What is the third derivative of -6*d**p + 0*d**3 - 3*d**2 + d**2 wrt d?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 - -49 - (-5 + (-9 + 4 - 4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -5*r**8\/8 - r**5\/30 - 52*r**3\/3 - 1948*r**2. Find the third derivative of t(x) wrt x.\nAnswer: -12600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/93)\/(17\/(-34)*-3)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81628439178981 - 5.\nAnswer: 81628439178976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*y - 485. Suppose -t + y = k - 40, 4*t + 2*k - 2108 = 0. Find the second derivative of 261*d**2 - t*d**2 + 260*d**2 + 6*d wrt d.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 934*o - 9344. Determine y(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(25)*1)\/(sqrt(5)*-3*-3).\nAnswer: -sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1260184?\nAnswer: 2, 157523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4*z = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3231240222.999101 + 3231241755. Let q = 1532 - p. What is q rounded to 5 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(7\/2)\/t*t)\/(t*t**(3\/5)) assuming t is positive.\nAnswer: t**(39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-2))\/((-4)\/8). Let q be 524\/20 - 1\/a. Let h(f) = 3*f - 14. Let k be h(6). Solve -7 = -4*z + 4*y + 29, 2*z - k*y = q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k. Let d(h) = 412*h**2 - 10*h - 5. Let p(i) = 13*i**2 - 2*i - 1. Let u(x) = d(x) - 5*p(x). What is u(f(m))?\nAnswer: 347*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 9*m**2 - 23*m - 11. Determine j(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = -0*u. Let k = -4 - -1. Let s = -3 - k. Put s, u, -1 in descending order.\nAnswer: u, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -268.6 - -292. Let q = 23 - m. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 40*b**3 + 47*b**2 - 2*b. Let a(o) = 201*o**3 + 236*o**2 - 11*o. Let g(d) = -2*a(d) + 11*f(d). Find the third derivative of g(w) wrt w.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 5\/3*u**3 - 199 + 0*u - 9*u**2 + 1\/4*u**4. What is the third derivative of y(m) wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3053.845ng in tonnes?\nAnswer: 0.000000000003053845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2923 = 282*j + 4898 - 17414 - 13813 for j.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2463 (base 7) to base 10\nAnswer: -927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeay when four letters picked without replacement from eyeyayayteiyytt?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 82, 323, 724, 1285, 2006?\n\"Answer: 80*r**2 + r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 y, and 1 r when three letters picked without replacement from jrtertyrttytxrtex.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 2*z - 10. Let j(w) = 3*w**2 - 7*w - 29. Let q(i) = 4*j(i) - 11*y(i). Let c be q(7). Let o = 48 + -46. Solve o*h = -5 - c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**8\/80640 + w**7\/4032 - w**5\/60 + 10*w**2. Let h(n) be the third derivative of t(n). Determine a so that h(a) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 126*j**3 + 3*j**4 - 7*j**4 + 2*j**4 + (2*j**2 - 3*j**2 + 0*j**2)*(0*j**2 - 2*j**2 + 3*j**2).\nAnswer: -3*j**4 + 126*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9 + (-16 - -15))\/(-2). Solve -6*c - 26 = u, t*c - 6*c + 4*u = 21 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 2\/7 (b) 2\/1085 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 17*h + 973. Let y be z(0). Let b be (-2)\/((-7)\/((-49)\/y)). Is 0 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -55\/112*q**8 + 0*q**5 + 158*q**2 + 0*q + 0*q**6 + 0*q**7 + 0*q**3 + 0 + 9\/8*q**4. Find the second derivative of f(m) wrt m.\nAnswer: -3300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4 - 42 = w, -2*w + 2*n - 100 = 0. Find the common denominator of (-102)\/(-4)*(w\/(-99))\/4 and (-79)\/(-3)*6\/16.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 3\/2, -0.0071 in increasing order.\nAnswer: -1\/6, -0.0071, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:15 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*k - 5*n, -6*n + n = -4*k + 6. Put k, -4, 22, -1 in increasing order.\nAnswer: -4, -1, k, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.7 + 9.7. What is the third biggest value in a, 0.06, 6, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-168*u + 31*u + 8*u - 100*u - 5*u)*(-4*u + 4*u - 2*u).\nAnswer: 468*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26006 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwbbwwwbwbwbwww. Give prob of sequence wwww.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/1475056 and 1\/246518734.\nAnswer: 1972149872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 1\/5, -2.93?\nAnswer: -2.93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 49*b - 2. Suppose o = -2*p + 45, 3*o - 7*o = -2*p + 30. Let l be 1\/(-4) - (p\/12 - 4). Is 32 a factor of j(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 - 45 + 19 - 7 + 51 + h**2 - h in the form z*h**2 + o*h + y and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -2\/3*c**3 + 0*c - 2*c**2 + 6\/5*c**5 + 6 + 2*c**4. Factor o(p).\nAnswer: 2*p*(p + 1)**2*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/36 and 71\/57712959.\nAnswer: 230851836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4270 is divided by 328?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 - 179078\/(-1771)) + -46 + 8\/(-14).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**2 + 308 + 28*y - 136 - 148 = 0?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 195 + -192. Suppose 3 = -3*u, 14 = y*n + 5*u - 17. Solve -6*g + 18 = -n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -18197*a**2 + 4*a + 2. Let q be x(-3). Let t(s) = 229056*s**2 - 2*s - 11. Let r be t(-2). Let n = r - q. What is n rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03418 rounded to three decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218072382.\nAnswer: 2, 3, 11, 71, 173, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.75 + 0.17. Let i = 0.03084 + 0.46916. Which is the smallest value? (a) u (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 7. Let r be n + -2 + 4199999 + 1. Round r to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**4 - 1 + 1)*(2 + 2 - 5) - 79*d**3 + 23*d**4 + 79*d**3 in the form a*d + m*d**3 + s*d**4 + b*d**2 + x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 259 - 172. Suppose -4*p - u + 128 = 3*u, -5*u = -4*p + 110. Calculate the remainder when a is divided by p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-5 - -11) - (4 + 3)) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23449, 25300, 27151, 29002?\n\"Answer: 1851*z + 21598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 122, 485, 1468, 3377, 6518?\n\"Answer: 51*i**3 + 4*i**2 - 6*i + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2835 divided by -135.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89178272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -12, 5, 2 in decreasing order.\nAnswer: 5, 2, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*7\/(-28)*3\/(9\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 6*d - 1462 + 1460 to the form u*d + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39712275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -18, -4, 31, -33, 1, 6.\nAnswer: -33, -18, -4, -1, 1, 6, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 31800*q - 50562000.\nAnswer: -5*(q - 3180)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + v**2 - v. Let f(q) = -q**2 + 24*q + 23. Let n be f(25). Let b(c) = 4*c**3 - c**2 - 3*c. Give n*b(y) + 6*m(y).\nAnswer: -2*y**3 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*c - 17 = 0, 3*c + 0*c - 12 = 0. Let f be 21\/(-5) - (-1)\/5. Put w, -3, f in ascending order.\nAnswer: f, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/9)\/f*f)\/(f\/(f\/(f*f\/(f\/(f*f**(3\/11))))*f))*(f**2*f)**(2\/157) assuming f is positive.\nAnswer: f**(-15734\/15543)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -700.86 + 467.392. Let i = -235 - a. Round i to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*y - 1863 - 2001 = 924 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6940249 + -20.\nAnswer: 6940229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.9 + -5.6. Sort 19\/3, 2\/7, d, -2\/7, 1 in ascending order.\nAnswer: -2\/7, 2\/7, d, 1, 19\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71953 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: What is the next term in -11739, -11746, -11765, -11802, -11863?\nAnswer: -11954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -188, -107, 102, 505, 1168, 2157, 3538?\n\"Answer: 11*r**3 - 2*r**2 + 10*r - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10835347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 8*s - 83. Let o be h(-14). Let f(m) be the first derivative of 7\/2*m**2 - 5*m + o. What is the derivative of f(r) wrt r?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -911\/15 < -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -1)\/(2\/(-3)*(18 - 6)). What is the third biggest value in p, -1\/31, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1. Let p be (b + 4)*(-2)\/(-4). Find the third derivative of -y**5 - 2*y**2 + p*y**5 - 2*y**5 wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6775329720.04083 plus 0.1?\nAnswer: -6775329719.94083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -4013\/10405 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -374, -7\/6, 1\/14?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -86000 divided by 4?\nAnswer: -21500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124323.9ng to tonnes.\nAnswer: 0.0000000001243239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + sqrt(2) + 2 + sqrt(2)))**2.\nAnswer: -108*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1836*a + 98. Let z be j(2). Is -3574 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139184*j**3 + 1 - 1 + 128393*j**3.\nAnswer: -10791*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmyylygyymlygyy. What is prob of sequence mm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -11. Sort a, 0, 0.3.\nAnswer: a, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 994287.1l to millilitres.\nAnswer: 994287100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/75 and -133\/12?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1247186 and 1917.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 8*i**6\/3 + 5*i**3 + 1. What is the third derivative of p(t) wrt t?\nAnswer: 960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, u: 7, s: 1, y: 2, q: 1, m: 1}. Give prob of sequence ygs.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.06, 28, 4042, -0.1, 5, 0?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**2 - 22*s - 1. What is the remainder when 27 is divided by x(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147a078 (base 11) to base 4\nAnswer: -21222010333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*m - 3*m - 105 + 30 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 s when four letters picked without replacement from {m: 7, s: 2}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, j: 1, h: 1}. Give prob of sequence llj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 + 5 - 3 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + w + 377 + 288, -3*w - 15 = 0. Let i be -126 - 4 - (-3 + (-10)\/(-5)). Let b = i - m. Solve r = -b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21471\/2374 + -183097318\/17805. Let r = -10277 - y. Find the common denominator of 29\/21 and r.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11676525.7 to the nearest ten thousand.\nAnswer: 11680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18298 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: Let m(k) = 3*k - 1. Let h be (9 + (-3 - -1))*1. Suppose 0*r + 3*r - 14 = l, -2*l - h = r. Let c be m(r). Solve c = -4*d - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 0 - (-7 + 0). Let u be (-6)\/(-8) - (-26)\/q. Suppose 2*c - 22 = -4*n, u*c + 0*c - 74 = -2*n. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5, -10, 0.3, -4\/13, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(78\/74) + 4\/26. Suppose -3*t = x*b - 147, -2*t - 8 = -3*b + 114. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 + 130*c + 308*c + c**2 + 239*c + 3*c - 90.\nAnswer: c**2 + 680*c + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 14*v - 3. Let b(d) = -23*d - 103. Let r be b(-5). Give y(r).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3623 and 32607.\nAnswer: 32607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107 and 428?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 30016*f**2 - 25244*f**2 + 0 - 2 in the form a + t*f**2 + j*f and give t.\nAnswer: 4772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20944181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5321.67 - -4595. Let w = 730 + k. What is w rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 4. Suppose -128 = -3*a - 0*v - v, -2*a - 2*v + 96 = 0. What is the greatest common divisor of a and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/4 - 2377943*y\/2 = 0 for y.\nAnswer: -4755886, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -530*z - 1233 with respect to z.\nAnswer: -530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -1333131313312?\nAnswer: 1333131313323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40180650 is divided by 453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b = 30, o + 26*b = 21*b + 175. Let y be (-2 - -4)\/(2\/100). Calculate the highest common divisor of y and o.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3960 divided by 88\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -21. Which is the biggest value? (a) x (b) -2\/19 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**4\/4 + 5*m**3\/3 - 2*m**2 - 2*m - 1. Let c(a) = 22*a + 10. Let h be c(2). Let t = h + -50. Calculate r(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(180) + sqrt(180) + (sqrt(180) - (2 + sqrt(180))))*-6 + -5)*2)**2*1.\nAnswer: -4032*sqrt(5) + 103876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 2588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (3 + 3 + sqrt(847) - (sqrt(847) + 4*(sqrt(847) + 2))))**2 + -5.\nAnswer: -792*sqrt(7) + 40678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 7*f - 6. Let g be c(5). Suppose -g = 3*t + 2. What is the third biggest value in 4, t, 6\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*h = 31, 11 = -d - h + 2*h. Is (-39)\/(-2) + d\/8 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*r + 103*r = -r + 2200 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -5. Let d(h) = -h**3 + h**2 + h + 406. Let w be d(0). Is (-8)\/12 + w\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 - 5*c**3 + 23*c**3.\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 285 and 885?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 12:22 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 31 - 58*t + 20)*(-4*t**3 + 4*t**3 + 3*t**3).\nAnswer: -174*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 157323?\nAnswer: 629292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9\/2, -1\/4, -2\/93 in increasing order.\nAnswer: -9\/2, -2, -1\/4, -2\/93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Let y(v) be the first derivative of 1 - 2 + 2*v + 0*v**l - v**2. Differentiate y(r) wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**4\/9 + 1022*i**3\/9 + 16936*i**2\/9 - 4216*i = 0.\nAnswer: -18, 0, 2, 527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*s - 586 - 65. Suppose -4*j = -7 - 5. Solve 4*l - 3*d + s = 0, j*l - 3 = -3*d - 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/5, 2\/3, 7 in increasing order.\nAnswer: -0.4, 2\/5, 2\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-15) + 2*(-3)\/30. Is -1 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 4*y - k + 9, -5*y - 3 = -4*k. Let b be 18\/(-2) + 0 + 0. Is 4 a factor of 12\/b*y - -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.26 + -16. Let k = -0.26 + t. Is k at least 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22724364 divided by 5681091\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016714349 to 7 dps.\nAnswer: 0.0000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 111494 (base 13) in base 2?\nAnswer: 1100010010110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9374.118 months?\nAnswer: 78.11765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0324817 rounded to four dps?\nAnswer: 0.0325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035185043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -16738330 - -14\nAnswer: -16738316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9904)\/(-32)*(4\/7 - 0). Let f = r - 176. Let 4\/7 - 2*l - f*l**4 + 2*l**3 + 2\/7*l**2 = 0. What is l?\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4493 * 0.2\nAnswer: 898.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-266)\/(-8) + 18\/24. Suppose 4 = -2*r + g. Solve 3*z + h = 5*h + 15, 2*h = 3*z - r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*h + 1458 + 16182. Suppose -4*t = 3*g - 950, -5*t = 4*g - 3*t - h. List the prime factors of g.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*n + 143 = 179*n - 231 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1991 - -1807. List the prime factors of l.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, -5, -168, 4, -21 in descending order.\nAnswer: 80, 4, -5, -21, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -15. Let m = 207 + -466. Let i be m\/91 + (-3)\/(-1). Is i at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 419098?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**3 + 2*f + 1. Let n(z) = -7*z. What is y(n(c))?\nAnswer: -42*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 13*t**2 - 17*t + 35. Determine c(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(15)\/(sqrt(5) + 1*sqrt(5) + sqrt(5)) + sqrt(3) + sqrt(192)*-2 + sqrt(3) + 5) + 1)*2*-4.\nAnswer: -328*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-6)*20\/15. What is the second biggest value in r, 4, -2\/31?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/3 (b) 17 (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 + 73*m**2 - 4345*m\/2 + 2100.\nAnswer: -(m - 105)*(m - 40)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 29*u**3\/3 + 1516*u. Let w(n) = -6*n + n**2 + 6*n. Calculate w(c(k)).\nAnswer: 3364*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 86. Let d = 100 + b. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**5)**(-27)\/(d*((d**(3\/4)*d*d)\/d)\/d*d*d)**(-21) assuming d is positive.\nAnswer: d**(747\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - 8\/48)*52)\/((-2)\/(-3))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 22628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2410\/(-6748)*21\/(-30)*-12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 631 - 631 + s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 16369790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -19417 times -2\nAnswer: 38834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43.98713 centuries?\nAnswer: 52784.556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w**3 + 4 + 24*w**3 - 6 - w**3 + 2.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(144)*3 + sqrt(144))\/sqrt(8))\/sqrt(6) - (-4 + 3*(sqrt(48) + -1 + sqrt(3))))*1)**2.\nAnswer: 14*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 9*d**2 - 3*d + 1. Let q be k(-4). Put 3, -5, q in ascending order.\nAnswer: -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 760 times 0.59363\nAnswer: 451.1588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -614144600 rounded to the nearest 1000000?\nAnswer: -614000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 165\/10611076 bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*v + 20. Calculate the highest common divisor of v and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) 118 (c) 4 (d) 0.037 (e) 18\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 76*i + 37. What is the tens digit of k(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48209 + 44138. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/2)\/(1\/(-6)). Let m = 22 - 26. Put n, m, -1 in increasing order.\nAnswer: m, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 7. Let f be a(-3). Solve -b - f*b = -15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 183, 273?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1606*q + 1732?\nAnswer: -1606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5195087441 to the nearest integer?\nAnswer: 1732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - j + 57 - 17 - 13 - 26.\nAnswer: -j - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 91209, -0.2 in ascending order.\nAnswer: -0.2, 0.5, 91209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 - -7. Let z be (2 - j\/(-16))*-4. Solve -z = -7*w + 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189216070.\nAnswer: 2, 5, 2833, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -62*n + 822. Let b be f(13). Solve 17*m + 4*h + 7 = b*m, -13 = 3*m + 4*h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 5*c - 70, -h - 380 = 3*c - 352 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 2 (c) 18\/7 (d) 0.028\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k. Let f(u) = u**2 - 5*u. Let x(t) = -t**2 + 4*t. Let a(v) = -4*f(v) - 5*x(v). Give a(p(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 13 = h, -3*h + 2*n + 0 = 4. Suppose 0 = -3*k + 2*r + 67, -5*k + h*r = -0*k - 109. Suppose k = 4*m + o - 103, 4 = -o. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118 by -6.\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30651 and 40235748.\nAnswer: 1803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*x + 19, -26 = -5*c - 5*x - 6. Suppose -3*d + c = 1. What is the second derivative of 2*y - d*y + y**5 + 2*y wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 98*f*n**3*x + 8*f*n**2*x**2 - n**3*x**2 - 8005*n**3 wrt f?\nAnswer: 98*n**3*x + 8*n**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 770633, 770673, 770727, 770801, 770901, 771033, 771203?\nAnswer: 771417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229314966.\nAnswer: 2, 3, 569, 67169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*x - 16 = 208*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1917.6598 + -1913.0499188. Let t = h + -4.61. Round t to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2)*f*f*f*f)**(-3\/8)\/(f\/f**(-2\/3))**(-1\/28))\/((f**(2\/3))**(-15\/7)*(f*f*f**(1\/3)\/f*f)**(7\/3)) assuming f is positive.\nAnswer: f**(-5689\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 0*o. Suppose 0 = 4*d - o*d. Suppose -5*u + 10 + 5 = d. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 2:58 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 181.40882 to the nearest integer.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 571 - 566. Which is the nearest to -3\/16? (a) 0.2 (b) n (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 f, and 1 i when three letters picked without replacement from {i: 2, p: 5, b: 1, z: 1, f: 1, n: 3}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3718 and 10?\nAnswer: 18590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0 - 10. Suppose 4*c - y = -c. Suppose -5*o + c*l = -679 + 23, -5*o + 662 = l. What is the highest common divisor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 540 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34489 + -34489.0043. Which is the nearest to -2\/3? (a) 1 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - x**4 + 4*x**4)*((-23 - 46 + 9)*(-3*x + 0*x + 2*x) + 3 + 0*x + 0 + 2*x).\nAnswer: 124*x**5 + 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -208298 (base 10) to base 11.\nAnswer: -132552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 2. Let m = -13 + -20. Let n(a) = -17 + 16 + 15*a**2 + 10 + 24. Determine m*c(s) - 2*n(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 c when three letters picked without replacement from {c: 14, m: 4}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2112*b*h - 2*b - 7447*h wrt b.\nAnswer: -2112*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3042040 - 10?\nAnswer: 3042030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7617 + -11037. Let k = g - -3422.031. Round k to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5285 is divided by 115?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -36, -115, -264, -507, -868?\nAnswer: -1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 143a1 - 58?\nAnswer: 14344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 886090 divided by 5\nAnswer: 177218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -120 (b) 196.3 (c) -0.11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6*y = 70. Suppose 5*j - 4*a = 626, -3*j = -4*j - a + 127. Suppose -4*q + q + j = 0. Calculate the greatest common factor of y and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 26\/4)*4\/7. Suppose x - 323 = a*h, 0 = -2*x + 5*x - 4*h - 977. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.9710964 times 1\nAnswer: -2.9710964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 2, 250, -0.08, 1\/11, 2\/5 in descending order.\nAnswer: 250, 2, 2\/5, 1\/11, 0.02, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(153) + sqrt(153) + (sqrt(153) - (sqrt(153) - (4*(sqrt(153) - sqrt(153)*1) + sqrt(153)) - sqrt(153))) - sqrt(153))**2*4.\nAnswer: 11016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2038)\/7084 + (-165)\/35 + 5. Is -1 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 3*d + 1. Let f(n) be the first derivative of -2*n**2 + 2*n + 1. Let x be (-30)\/(-150)*(-30)\/4*2. Give x*f(b) + 4*c(b).\nAnswer: -4*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*j + 8*j - 15, -j + 1 = -3*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 174*q**3 - 354*q**2 - 178*q.\nAnswer: 2*q*(q - 89)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21221794 and 841?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -768004*a**3*n**3 + 898*a**3 + 31*a**2*n**3 + 2*a**2*n + 2372*a wrt n?\nAnswer: -4608024*a**3*n + 186*a**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -178 + 183. Suppose -18*m - s*m + 644 = 0. What is the least common multiple of m and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2922 and 8202.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/7))**21 assuming x is positive.\nAnswer: x**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 242, 501, 854, 1295, 1818?\nAnswer: 2417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 11. Let v = n + 13. Let j = 4 + v. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m**3 + 33*m**3 + m + 45*m**3 + 0*m.\nAnswer: 113*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 2*m**2 + 4*m. Let t be x(3). Let a(p) = 5*p**2 - t*p**2 - 6*p**2. Let c(g) = g. Let h(v) = 3*v. Let z(q) = -6*c(q) + h(q). Determine z(a(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1120606 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11828 - -19275. What are the prime factors of a?\nAnswer: 11, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*i, 5*s + 3*i = -i + 88. Let v = -9 + s. Suppose 3*z + v = 4*d, -d + 1 - 6 = -3*z. Solve -2*f + 3*y - 18 = 0, -4*f = d*y - 4 - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 4*a**2 - 7*a - 1. Let t be c(3). Put 3, t, 14 in descending order.\nAnswer: 14, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/10)*v*v**(-19\/2)*(v**(1\/39))**(-17) assuming v is positive.\nAnswer: v**(-1684\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f*g*p*q**2 + 11*f*g*q**2 + 22*f*g*q - 2*f*g + 123*f*p**2*q**2 + 2*f*p - 3*g*p**2*q**2 - 3*p*q**2 + 4*p wrt p?\nAnswer: 246*f*q**2 - 6*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/66 and 65\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 144969679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 386 * 6\nAnswer: 2316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, q: 2, s: 2, y: 3}. What is prob of sequence syeq?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = 3. Suppose 14 = t - f. What is the greatest common factor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2\/11 (b) 4 (c) 19362\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4221112 + 11?\nAnswer: -4221101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3696*i = -6053*i - 80589 - 94893 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -c1e77?\nAnswer: c1e80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-3 - -3) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-186)\/21)\/(-26 - (14 - (-8370)\/(-210)))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - 2*g**2 - 3. Determine k(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 297175 less than -0.0016?\nAnswer: -297175.0016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -0.26, 0.4 in increasing order.\nAnswer: -0.26, -0.05, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2. Let m(t) = 3381182*t. Give n(m(q)).\nAnswer: -11432391717124*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l. Let h = 25 - 19. Let f(b) = -3*b**2 + 3. Let a(g) = -6*g**2 + 5. Let n(w) = h*a(w) - 10*f(w). Determine u(n(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, y: 3}. What is prob of picking 1 y and 3 o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 2*a**6\/3 + 4*a**5\/5 - 3*a**4 - 4*a**3\/3 + 4*a**2 - 8. Factor g(l).\nAnswer: 4*l*(l - 1)**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.146975 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + 2\/(-4)*4)\/1. Let o = 52.7 - 53. Let r = -25 - -26. Which is the nearest to p? (a) o (b) -0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.109 in 2\/11, -54, 3\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28109353*q**2 + 421516*q + 26 wrt q.\nAnswer: -56218706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 2*m**2 - 4*m + 3. Suppose -2*k = 2*k - 12. Let s be q(k). Is 6 a factor of 0 - (36 + s)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 946168\/42156 + (-14)\/(-9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n + 30. Let r be 5*(3 + (-9)\/n). Solve 4*i + r = -0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 21. Let t be v(19). What is the third derivative of -86*d**5 + 0*d + 63*d**5 + 16*d**t + 0*d wrt d?\nAnswer: -1380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21057422 - 5*m**2 - 21057422 + 3*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4922 is divided by 43.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -60815, 32, -6 in decreasing order.\nAnswer: 32, -6, -60815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 2*s**2 - 4*s - 2. Let p(h) = h**3 - 7*h**2 + 9*h + 3. Let y(t) = t**3 - 15*t**2 + 18*t + 5. Let z(o) = 5*p(o) - 2*y(o). Give 5*v(f) + 2*z(f).\nAnswer: f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3 = -11. Let c(t) = -12 + 2*t + 8*t - 10*t + t**b. Let u(a) be the first derivative of 2*a**3\/3 + 104. What is c(u(m))?\nAnswer: 4*m**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-4)\/3*6). Which is bigger: s or 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002776 rounded to 5 decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1514 divided by -1.\nAnswer: -1514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**8\/168 + 11*r**7\/315 + r**6\/15 + 2*r**5\/45 - 3*r**2 - 43. Solve l(b) = 0.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9*n + 1. List the prime factors of x(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -70.298, 2\/15, 2, -2\/9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (16 - 25) + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/299638 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1499.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3102 - 3102. Solve 3*i - 5*i - 8 = k, 0 = 2*o - 3*i - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445820731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10462888153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 - 6*d**4 + d**2 + 5*d**4 - d**4 - 2*d**4 + (13*d**2 + 37*d - 37*d)*(1 - 4*d - 1)*(0*d + d - 3*d).\nAnswer: 100*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/18*(-11)\/66?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 - -149. Suppose 4*t + 4*c = 12, -5*t + 0*c - c = -19. Suppose d = t*k - 374. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let s(t) = -10*t**2 + 2*t - 2. Let i(m) = -11*m**2 + 3*m - 3. Let g(z) = -2*i(z) + 3*s(z). What is c(g(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l - 5*l + 2*l + 1. Let w(h) = -9*h - 3. Give 3*k(c) + w(c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1486554 + 1402373. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eexveeedvexvev. What is prob of sequence vd?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*-4 - sqrt(24))\/(sqrt(8)*-2*4).\nAnswer: 9*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2176, -16, -1 in descending order.\nAnswer: 2176, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9*t**2 - 5 - 1 - 3*t**3 + 7*t + 4*t**3. Let d be u(4). Let m = -17 - d. List the prime factors of m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 16*a + 28. List the prime factors of q(-37).\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6729*c + 2893484. Determine p(430).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.07 + 20. Round x to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 2*m**2 - m. Let a be p(-2). Suppose -a*z + 6*z + 3*n = -7, 2*n + 18 = 4*z. Suppose -5*d + z = -8. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 - 3*n**2 + 3*n**2)*(3*n - n + n + (n + 2 - 2)*(-3 + 2 + 3))*(1 + 3 - 5).\nAnswer: 15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 14, p: 4}. Give prob of sequence pp.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*c = -10, -2*x - x + 4*c - 8 = 0. Suppose -5*m + g = 25, -6*m = -m - 2*g + 30. Let l = x - m. Put -2, 1, l in increasing order.\nAnswer: -2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21747 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + (sqrt(13) - (sqrt(1573) + sqrt(1573) + sqrt(1573)*-3))))**2 + 4 + (sqrt(1300) - (sqrt(1300) + -4)**2*5).\nAnswer: 794*sqrt(13) + 23392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:19 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4 + q**3 - 120*q**2 + 468*q = 0. Calculate q.\nAnswer: -13, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-2)\/(-3) - (-62)\/186. Let z(y) = -g + 71*y - 2 - 35*y - 34*y. What is z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9178023?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1275 - -2054. Let m = 3165\/4 - h. Find the common denominator of m and -103\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p + 5*y - 3, 2*p - 3 = 3*p - 3*y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 1, z: 1}. Give prob of sequence ez.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 10*d**4 + 806*d**3 - 11550*d**2 - 916038*d - 545292 = 0?\nAnswer: -81, -33, -3\/5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**5\/20 - 2*m**2 - 3. Let o(g) be the second derivative of y(g). Let f(w) = -3*w**2. Determine o(f(x)).\nAnswer: -27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.394 - 0.394. Which is smaller: -0.3 or a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/242 and 20\/12289.\nAnswer: 2973938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a microgram in nanograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -833489 by -6.\nAnswer: 833489\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/4824503 and 20\/4824503?\nAnswer: 4824503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 5*d**2 - 10*d - 23. Let l be q(7). Suppose -l*p + 3600 = -46235. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, k: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 29, -12, 8 in descending order.\nAnswer: 29, 8, -12, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1\/3 (c) 7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8)*1)\/(((-9900)\/24)\/(-25)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-100)\/16)\/(-5))\/(22\/(-88))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - 1*-2 - -7. Suppose -q = -5*p + 83, -72 = -4*p - 0*p - 2*q. Suppose -p = o + 4*v, -v - v - 16 = -2*o. Solve -o*s - 1 = -k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127*u*x**2 - 5*u*x - 2*u - 17*x**2 + 10*x + 2 wrt x.\nAnswer: -254*u - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2534 minus -3.178?\nAnswer: -2530.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w\/(w\/(w\/w**(1\/5)*w)))\/w*w\/(w\/(w\/(w\/((w**(13\/4)*w)\/w))*w))*(w**(1\/4))**(1\/7) assuming w is positive.\nAnswer: w**(213\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*i + 631 = -1026 - 563 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqimihamhiimmaiiim. What is prob of picking 2 a and 1 i?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k**2 - 748*k + 1499. Give z(2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 11 - 35) + -7 - -46.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-90)*54 - 4\/10. Let g be (3\/(-1))\/3*-3. Sort l, g, -13 in increasing order.\nAnswer: -13, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*s**3 - 5 + 19*s**3 - 3 + 8 - 30*s wrt s?\nAnswer: 66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/43 in 86\/15, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 - -2.7. Let z = r + 5.2. Let o = z + -7.05. Is -2 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.895 - -0.8635.\nAnswer: -9.0315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -364 + 736. Let n = 376.025 - x. Let j = -4 + n. What is j rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, t: 4}. Give prob of sequence bbtt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9297786.\nAnswer: 2, 3, 1549631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3972.62 days to minutes.\nAnswer: 5720572.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120 - -218. Suppose -13*i = -i - 24. Suppose -i*y + 42 = y. What is the highest common factor of j and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 16032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 827455169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**6\/30 + u**5\/25 + u**4\/10 + 9. Factor o(c).\nAnswer: -c**3*(c - 2)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**(-3\/4)\/c)\/c)\/c)\/c**(2\/17)*(c\/(c\/(c**1\/c)*c))\/c**4 assuming c is positive.\nAnswer: c**(-535\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 184, 204, 212, 196?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-15))\/(6*-2*11\/198)*63.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3456.512 minutes to seconds.\nAnswer: 207390.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63571.\nAnswer: 151, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-24)\/(-276) - 30151\/(-23).\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1453951\/343948 + 1\/31268. Find the common denominator of -65\/638 and w.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*j**5 - 352*j**4 + 899*j**3 - 713*j**2 + 226*j - 24 = 0. What is j?\nAnswer: -12, 2\/9, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202 by 4350.\nAnswer: -101\/2175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-78)\/(-8) + 2\/8. Let v be 58\/10 - (-2)\/i. Let p be (3 - 1)\/(v\/24). Solve l + l - p = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**3 + 8*n**2 + 2*n + 5. Let d be u(3). Find the second derivative of -46*c - 25*c**d + 18*c + 19*c wrt c.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3119.75, 0.359, -4?\nAnswer: 0.359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 193 + 8*p - 8*p - 191 - 249*p**2 as k*p + i*p**2 + r and give i.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 720*r + 4269. Give l(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 3*j**2 - 3*j - 4. Suppose 3*g = 3 + 21. Let a(p) = p - 6. Let w be a(g). Suppose -3*c = -w*c - 4. What is k(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -572 + 0?\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 14\/5 (b) 1\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2090*o - 1. Let u(i) = 10*i**2 - 24*i. Determine u(n(p)).\nAnswer: 43681000*p**2 - 91960*p + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11456940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3\/(-28))*(-9)\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1551 and 170388912?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89 - -91. Let g(a) = 11*a - 3. Let f(s) = -12*s + 3. Let h(t) = 4*f(t) + 5*g(t). Determine h(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/157 + 17357\/1570. Let n(h) = 82*h + 9. Let r be n(4). Let p = r - 703\/2. Calculate the common denominator of p and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + ((-6 - -10) + -5 + 0 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.06875 litres in millilitres?\nAnswer: 28068.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 + 296*p\/3 + 1280.\nAnswer: -2*(p - 160)*(p + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 474 - 473. What is the fourth biggest value in -0.2, -4, g, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/1468 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.4. Let d = 0.7 - 1.5. Let y = -4.2 + d. Which is the closest to 1? (a) y (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -19*v**2. Let i(l) be the first derivative of 2*l**3\/3 + 46. What is c(i(w))?\nAnswer: -76*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmrrmrrrirxrrriirrrr. Give prob of picking 1 r and 1 i.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*r - 86 + 114. Suppose -2*g + 654 = 5*p - 6*g, -2*p - 2*g = -276. Calculate the remainder when p is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76146 and 162282.\nAnswer: 55662726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 25 = -7. Let s = o + 5. Let i = s - 9. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1102527158447.9 and -27.\nAnswer: 1102527158420.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) - (sqrt(77) + -1*-1*sqrt(77) - sqrt(77))))\/(-2*sqrt(891)) + 4.\nAnswer: -sqrt(7)\/18 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1528041505, 1528041503, 1528041501, 1528041499, 1528041497, 1528041495?\nAnswer: 1528041493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6219 - 6383. Suppose 0 = 5*j - 32 - 2563. Let v = j + k. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3*j - 3 + (-2 + 2 + 3)*(0*j - j + 2*j) + (-2*j - 2*j + j)*(-9 + 3 - 1) in the form s + u*j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-18) + (-4)\/(-18). Suppose o = 7*b - 2*b - 110. Calculate the least common multiple of b and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 0 + 0 + 0. Suppose 170*y = 154*y - 32. List the prime factors of o - (y - 108\/4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -628*q + 6284. Calculate p(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/88380 and -101\/72.\nAnswer: 176760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3) + (135 + -139)*(-39)\/36.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1752*d = 1567*d - 1295 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8066, -1\/3, -5\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 1 - 1)*((1 - 3 + 4)*(-2 - 3 + 4) + 17 - 29 - 19).\nAnswer: 99*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (4 + 3 + -6 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 5*o = 6*o + 19*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 451*d**4\/24 - d**2 + 89. Let j(f) = f. Determine s(j(x)).\nAnswer: 451*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 14413*s**3 + 8*s**2 + 5*s - 2. Let k be i(8). Let t be (-1)\/(-3) - k\/18. What is t rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(-3\/4)\/b*b*b)\/b*b)\/b**(2\/9))**43*((b\/(b\/(b\/((b**(-4)\/b)\/b))))\/(b\/(b*b*b**(4\/5)\/b)))\/(b\/b**6*b**(-5)) assuming b is positive.\nAnswer: b**(11159\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 37*m**2 + 6 - 20)*(1 - 1 + 3*m).\nAnswer: 111*m**3 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 o when four letters picked without replacement from {o: 11, b: 3}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 21*s**2 + 16*s + 7. Determine x(20).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21271148*k**2*q**6 - 595750*k**2*q**2 + 4*k*q + 2*q**2 wrt q?\nAnswer: -2552537760*k**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*d + 316 + 805 = 0, -4*j = 2*d - 1126. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4089 - -1428. What is a rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3217380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/12 and 546\/9*840\/(-19040)?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d - 3*r + 11 = 0, 5*d - 5*r - 35 = 0. Find the common denominator of ((-16)\/(-40))\/((-9)\/((-5940)\/16)) and 17\/d + (-2)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a**3 + 6*a**2 - 25*a - 7. Let z = 277 + -270. Let s(v) = 2*v**3 + 4*v**2 - 12*v - 3. Let w(y) = z*s(y) - 3*k(y). What is w(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (9 - (-5 - -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, -0.3, -366?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 32, 3, -1 in descending order.\nAnswer: 32, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-36 + 26)) + (-10 - -1) + 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1490*z**2 + 263 - 132 - 131 in the form a*z + i + r*z**2 and give r.\nAnswer: 1490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4030331 (base 5) in base 12?\nAnswer: 31382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -77 and -76 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15899 (base 12) to base 6\nAnswer: 353513","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**6\/3 + 9*v**2\/2 + 6. What is the second derivative of u(h) wrt h?\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152800 and 88175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + 20. Let c = 4017 - 3968. Calculate the least common multiple of c and y.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -493 and 0.00977.\nAnswer: -4.81661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 4*b + 19. Let x be o(-9). Solve -x*z + 70*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 2407*o**7\/210 - 488*o**3 + 53*o**2 - 6. Differentiate a(v) with respect to v.\nAnswer: 9628*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**4 - 56126*j**3 - 78658 wrt j.\nAnswer: 4*j**3 - 168378*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((5*-3*(sqrt(363) + -1) + (-1 + sqrt(363))*1 + 5)*-2 + 4)**2.\nAnswer: -571496 + 41888*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -479 + 488. Let u = -0.2 + 0.3. What is the smallest value in u, 5, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -399*i**3 + 20695*i**2 + 4492609.\nAnswer: -1197*i**2 + 41390*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 1\/10*i**5 + 0*i**3 - 1\/4*i**4 + 0*i**2 + 0 - 4*i. What is the third derivative of o(s) wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1817538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(528))\/(-3*(sqrt(11) - (sqrt(11) - sqrt(176)))) + (-2 + (-3*sqrt(12))**2)*-5.\nAnswer: -530 - sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 14120.\nAnswer: 28240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 + -0.15.\nAnswer: -93.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 158\/37 (c) -4\/9 (d) 11 (e) 5 (f) 18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pplcgiscpscisgpg. What is prob of picking 1 l and 1 i?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 27172, -4, -0.5, 1\/4, 2\/9, 0.3 in decreasing order.\nAnswer: 27172, 0.3, 1\/4, 2\/9, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -43?\nAnswer: 17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, -4, 4, 5, 3, -3 in ascending order.\nAnswer: -4, -3, 3, 4, 5, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(3 + 6 + 4). Put x, 0, 1 in decreasing order.\nAnswer: 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14) + (-5000)\/(-105). Let w = f - 47. Let l = 1069 + -1068.8. Sort l, w, -1 in descending order.\nAnswer: w, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3*(-9)\/2. Solve 3*z = -3*f + 9, 3*f - 1 - h = 2*z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from qmmmmmmqmmmmmmqmmmmq?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-340 + 246 - 243)*(6*z**4 - 7 + 7*z**4 + 6 - z**2).\nAnswer: -4381*z**4 + 337*z**2 + 337","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (39\/5 - 2) + (-5)\/1 and -103\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 301 in 3\/7, -2\/3, 10, 2\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2244746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 1 - 75. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27273*i - 85 = -27290*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 10. Let n = -7 - -15. Let k be y(n). Put -5, k, 1 in increasing order.\nAnswer: -5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55544 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/5564 and -25\/4202.\nAnswer: 11689964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1.5. Let q = g - 0. Let i = 0.49999993 - q. Round i to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 725147 to the power of 1\/2, to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/14)\/(2 + 2). Solve -4*h - 4*i - 20 = m, -3*h - 3*i - 19 = 2*i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138 and 11520.\nAnswer: 264960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**3\/6 - 2*g**2 - 17*g. Let d(m) = 4*m**2 + 9. Give -2*d(q) + 18*j(q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1611\/110 - -375\/22. Factor 0*b**3 - 16\/5*b + 2\/5*b**4 - z*b**2 - 6\/5.\nAnswer: 2*(b - 3)*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5))\/(154\/(-616))*(-600)\/8?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 546173169.61 - -317\nAnswer: 546173486.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*y - 33*y + 80 = 31*y + o, 4*y - 8*o = 116 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 274.39468 days to weeks.\nAnswer: 39.19924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -89, -3\/7, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1465489 to the nearest integer?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 20 + 8. Let p = 5708 - 5693. Calculate the remainder when x is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2 - y + 3. Determine m(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3 + 16*m**2 + 20*m**2 - 35*m**2 + 6. Let l(z) be the first derivative of -z**4\/4 + z - 1. Give l(t) - r(t).\nAnswer: -t**3 - t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99957 is divided by 1506?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3257130, 3257129, 3257128, 3257127?\nAnswer: 3257126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - j**2 + 2*j**2)*(2*j**2 - 2*j**2 + j**2) + j - 42*j**4 + 40*j**4 - 4*j**3 + 3*j**3.\nAnswer: -j**4 - j**3 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + (-70)\/35?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + -66. Suppose -q + 4*w = g, -5*q = 4*w - w - 64. What is the greatest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00727457517 to 6 decimal places.\nAnswer: 0.007275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + 4. Let s = d + -13. Let o(i) = i. Let h be o(5). Solve h*k - k = s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/100, 1\/65, 4\/51.\nAnswer: -4, -1\/100, 1\/65, 4\/51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -338*x - 1342. Let u be o(-4). What is the greatest common divisor of u and 1465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -201 in 0.1, -9, -8, -0.3, 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 2:29 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2863842216 and 0.3?\nAnswer: -859152664.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -318*g - 1. Let q(i) = -i**2 + 4*i - 3. Let d be q(3). Let p = d - 1. Is a(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(11\/5)*m)**49 assuming m is positive.\nAnswer: m**(784\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49f20 (base 16) in base 12?\nAnswer: 127340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32862.22 millennia to centuries.\nAnswer: 328622.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 45, -10\/197, 1\/2, -2\/9?\nAnswer: -10\/197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 30. Let u = 731 + -764. Let s be 12\/(-66) - t\/u. Which is the third smallest value? (a) 3\/4 (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/9 + 38*k**2\/9 - 172*k\/9 + 208\/9.\nAnswer: -2*(k - 13)*(k - 4)*(k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 183*h**2*n**2 + 4*h**2*n*t - 4*h**2*n + 12*h*n*t - 3*h*t + 224*h - 2*n**2 wrt h?\nAnswer: 366*n**2 + 8*n*t - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-99)\/(-468))\/11)\/(3 - (-6453)\/(-2136)). Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d - 1. Let g(u) be the first derivative of 9*u**2\/2 - 3*u + 1. Let q(z) = -4*g(z) + 7*m(z). Let t be (-1)\/((15\/12)\/(-5)). Calculate q(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10226 and -26161.626.\nAnswer: -36387.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 12. Let a be j(-10). Suppose -a*t - 16 = 3*y - y, -2*t + 9 = -3*y. Let n = -9 + 12. What is the third smallest value in -1, n, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**4 + 2153*m**3 - m**2 - 3570*m - 1 wrt m?\nAnswer: -36*m**2 + 12918*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 286 and -3?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*m + 341296 - 340126 = 0 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 942 is divided by (10 + -7 - -99) + 4 + -1?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-7) + 4\/28. Let i = 5 - p. Suppose -z - d = d - 8, -i*z + d + 50 = 0. Solve -b = 6*t - 2*t - 8, 0 = -4*t - 2*b + z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 30.1. Let f = t + -1. What is the closest to 0 in f, 1\/8, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 4*q = -18*i + 10547, i - 10492 = 7*q. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 20 = 4*d, -3 = 2*q - 5*d + 15. Let t be (8\/(-24))\/(q\/(-24)). Suppose 0 = -0*l + 2*l - t. Solve i - 3*n = -4, i + l*n - 8 = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 16, e: 2}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2. Let l(r) = 285715*r. Calculate c(l(i)).\nAnswer: 326532244900*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 11. Suppose 5*l = 6*i - 2*i + 2, -i - 4*l = -10. Suppose i*n - 21*h = -22*h + 104, -h = -4. What is the remainder when n is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0302487nm to micrometers.\nAnswer: 0.0000302487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-3))\/(4\/16). Let z(n) = -n**2 + 5*n - 3. Suppose y + 4*q = -0*y + 20, 5*y - 2*q = 12. Let r be z(y). What is the nearest to 0 in h, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 + 4 + (-12 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1287*a + 8*b = 1282*a - 10, -2*a + 5 = 5*b for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2572872, 13, 0.4?\nAnswer: -2572872","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 831 + -561. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77222*v + 51*v**2 + 38613*v + 38609*v.\nAnswer: 51*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1685 is divided by 495.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1034784705?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 16*l - 105. Suppose l*h = 3*u - 172, 159 - 7 = 3*u - h. What is the remainder when 241 is divided by u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -632 times -114657?\nAnswer: 72463224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**2. Let w(n) = 1 - 3*n - 1 + 2*n. Calculate d(w(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*a = -118*a + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -5 (c) 2\/31 (d) -50 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*c + 3*c - 9, -5*c = 3*a - 33. Let k be (-4)\/a*1*-3. Suppose -k*d + 27 = d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.027 * 13\nAnswer: -0.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9444 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55562341 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from {l: 3, t: 2, v: 1, i: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4367*f + 4362*f = -2*d - 6, -3*d - f - 9 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 599\/(-12))*1004\/(-10). Let y = a - -5296. Calculate the common denominator of y and -27\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4) + 115\/(-20). Let d(o) = 16*o**2 + 13. Let y(w) = -8*w**2 - 6. Calculate m*d(f) - 13*y(f).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126983, 126986, 126993, 127004?\nAnswer: 127019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-326)\/(-42) - 33\/11. Let k = 13\/3 - q. Let d be 2\/6*9\/(-5). What is the third smallest value in d, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - 3*n**2 - 1 + n**2 - 2*n + (4*n - 5*n + 3*n)*(-1 + 1 - n) as u*n**2 + b + l*n and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 11*l**2. Let m(f) be the third derivative of f**5\/60 + 17*f**2. Determine d(m(o)).\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/630*-6)\/((-28)\/(-10))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -2\/19 (b) 4\/3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -112 + 196. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.2362 less than -0.35305?\nAnswer: 14.88315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from {j: 3, z: 1, x: 5, u: 2, w: 6}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-10 - (-16 - (-8 - -12 - -2)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 533, 536, 539?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4638595*m**4 - m**3 - 1691062*m**2 wrt m.\nAnswer: 111326280*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r. Let k be w(3). Find the second derivative of 8*v**5 - k*v + 11*v - 2*v**5 wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 95, 96?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 153 and 1057.\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 50*t**4 + 205*t**3 + 10*t**2 - 40*t = 0.\nAnswer: -4, -1\/2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (0 - -7) - 1 - 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48097 - -144292\/3. Factor 3*m - u*m**2 + 10\/3.\nAnswer: -(m - 10)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 105.39.\nAnswer: -316.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 43 + ((4 - -2) + 2 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6036 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40969107 take away -73.6293?\nAnswer: 40969180.6293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 202*f**2 + 1659*f. Let i(o) = 89*o. Calculate i(s(h)).\nAnswer: 17978*h**2 + 147651*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 641655229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -2\/27 (c) -0.0673 (d) 2\/3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 204.6 - 205. What is the third biggest value in 1, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -3\/7, -4\/19, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(68) + sqrt(68) - sqrt(68)))**2*3 + 2 - (sqrt(170)\/sqrt(5)*-2 - sqrt(34))\/(sqrt(12)\/sqrt(6)*6).\nAnswer: sqrt(17)\/2 + 818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 49524930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15732, -15650, -15494, -15258, -14936?\n\"Answer: t**3 + 31*t**2 - 18*t - 15746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 55\/19 + 4 + -2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314919383 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 1 - 1)*(-212*n**3 - 193*n**3 - 83*n**3).\nAnswer: 1952*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**2\/7 + 3252*s\/7 + 3254\/7 = 0.\nAnswer: -1, 1627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -718, -714, -710, -706, -702?\n\"Answer: 4*i - 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -1, -12, 5 in decreasing order.\nAnswer: 5, -1, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, -1553, -3153, -4753, -6353, -7953?\nAnswer: -9553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97 and 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 72*y**2. Let z = -1 - -16. Let n(a) = -z + 6 + a + 9. What is v(n(m))?\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (7 - 8)) + -7 + -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 110*g + 114*g = 38506, 3*g - 15401 = -2*h. What are the prime factors of h?\nAnswer: 2, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) 454 (b) -2 (c) -2\/17 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 14 = -30. Let m be (-1 + (-1)\/z)*(-16)\/160. Let v = -0.7 - 0.3. What is the smallest value in v, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/450 and -79\/750?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.059, 0.3, -41 in ascending order.\nAnswer: -41, 0.059, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5248223?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j - 9*j - 1517*j**3 + 10*j + 4*j to the form m*j**3 + l*j + b*j**2 + w and give m.\nAnswer: -1517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98120 and 24084?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssqssqsqsqsqq. What is prob of sequence sq?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 126. Calculate v(-26).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 594*v. Let w(g) = 3*g. Determine c(w(d)).\nAnswer: 1782*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33057 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/13838 and 79\/235246.\nAnswer: 235246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 371540*f - 6902098580.\nAnswer: -5*(f - 37154)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*u - 35, u - 9 + 4 = 0. Let d = -116 - -124. Let w(b) = 4 + d*b + 22*b**2 - 4*b - 23*b**2 + 1 + 0*b**2. Determine w(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -5 + (42 - 22 - 15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 + 819*a**2 + 343532*a**4 - 176*a**2 - 338762*a**4 wrt a?\nAnswer: 114480*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (156\/15)\/4*5\/(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -12*r. Let x(s) = 8*s + 1688. Calculate f(x(w)).\nAnswer: -96*w - 20256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**8\/20160 - n**7\/1680 - n**6\/240 - 17*n**5\/60 + 7*n**2. Let w(c) be the third derivative of i(c). Calculate w(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 8a?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 891 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/770*60*(-315)\/(-18).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 + 5*f + 3. Let j(w) = 11*w**2 + 11*w + 7. Let m(y) = 6*j(y) - 13*u(y). List the prime factors of m(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:04 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12686, -25171, -37656, -50141, -62626?\nAnswer: -75111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7313 + -2370. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.594258 rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 not equal to -1984121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*-12*22\/(-66)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 59*g + 27*g - 89*g.\nAnswer: -3*g - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/155 and -33\/10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1134729413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -19 + (-6 + -5 - -40)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*o = -978*o + 94744 - 27944 for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38028 (base 14) to base 6.\nAnswer: -2535204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(208)*2)**2 - sqrt(13)).\nAnswer: -4992 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 343280 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3*l - 369, 3*g + 5*l = -g + 465. What is the highest common factor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*d - 32, d + 2 - 1 = 0. Suppose -164 + r = -3*s. Suppose -a - g = 3*a - s, 4*a - g = 37. Solve -4*n = -2*n + a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000122120121 (base 3) to base 12.\nAnswer: 222b67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h\/(h\/h**14*h))*h*h*((h*h*h\/(h**(-3)*h*h))\/h)\/h assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 7 + 88 = 0. Suppose -8*g + l = -4*g - 3*c, -21 = -4*g - 3*c. Calculate the smallest common multiple of g and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-eight thirds of a week?\nAnswer: 94080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 284 divided by -2\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + s + 1. What is w(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 122.9627ng?\nAnswer: 0.0000000000001229627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 + 880*g**2 + 6 + 30 - 919*g**2 + 33*g - 33*g**3.\nAnswer: 3*(g - 12)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -160*h + 9405. Let a be j(60). Is -96 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - j = -19, 29*p - 114 = -2*j - 64 + 45 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21123 - -21635. Put 3, z, -0.8 in decreasing order.\nAnswer: z, 3, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 133, 205, 393, 751, 1333?\n\"Answer: 9*u**3 + 4*u**2 - 3*u + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 340?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -565 - -183. Let w = -92 - j. What are the prime factors of w?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 855026, 1710082, 2565128, 3420158, 4275166, 5130146?\n\"Answer: -p**3 + p**2 + 855060*p - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 6*v**2 + 6*v + 2. Let i be (-126)\/(-10) - (-4)\/10. Let f = 8 - i. Let d be b(f). Put d, -0.1, 1\/3 in decreasing order.\nAnswer: 1\/3, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 99 + -29?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h + h + 7 + 0*h. Suppose 9*z - 3*z = -z. Suppose z = -3*b - 0*b - 18. Calculate d(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 5 - 3*w + 0*w**2 + 2\/3*w**3. What is the first derivative of g(t) wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 45 (b) 4 (c) 1\/2 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25888627 is divided by 12944311?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35\/3 in -0.3, -0.05, 1.2, -0.2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r = -16 + 7 + 65 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljjjl. Give prob of sequence lj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 136974180 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -5*j + 4616. What are the prime factors of j?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 5*o**2 - 4*o - 2. Let h be (4 - 2)\/(-6)*6. Let u be k(h). Let r be (u\/7)\/((-2)\/(-14)). Let x(t) = -t**2 - 7*t + 2. What is x(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 3411740*w**2 + 6823420*w - 27293840.\nAnswer: 5*(w - 2)*(w + 4)*(w + 682346)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*j + 18 = 0, 5*j - 10 = 5*c - 0*c. Suppose c*i + 103 - 135 = 0. What is the highest common factor of 168 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/4)\/(3\/(-24)). Suppose -l*q = -106 - 38. Find the first derivative of -5 - 2 + 16 - 1 - q*c**4 wrt c.\nAnswer: -96*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*20\/990 + 8\/12.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-8))**(-2\/5)*o**11\/(o*o**18*o) assuming o is positive.\nAnswer: o**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190 = 75*y - 265 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jlpfljjfp. Give prob of sequence pllj.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.7 - 9. Let r = p + 3.3. Which is the smallest value? (a) 0 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11102069 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420501337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*b**3 - 63 + 309*b**3 - 143 - 69.\nAnswer: -2*b**3 - 275","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b**2 + 6. Let j(i) = -i**2 - 160*i + 44. What is j(p(v))?\nAnswer: -64*v**4 - 1376*v**2 - 952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/83009 - 18531510335\/1328144. Let w = z + 13958. Find the common denominator of w and ((-222)\/(-8))\/(6 - 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 222 - 222. Suppose -2*x = v, 7*r - 28 = 3*r - x. What is the highest common divisor of 91 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -61. Let w = i - 14. Let s = 17 - w. Is 1\/4 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69\/(-2)*-3*(-40)\/(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 81 - 44)*(3*h**2 - 3*h**2 - h**3)*(-2*h + 5*h - h).\nAnswer: 232*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9993243 by 32981.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -6*q + 1\/6*q**3 + 3*q**2 + 0. Differentiate c(y) wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (5 - 18 - -20)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 29837*j + 903. Is r(2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*o**3 - 415*o**2\/2 - 100*o - 10 = 0.\nAnswer: -1\/4, -2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/11, -1 in decreasing order.\nAnswer: 2\/11, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2, 142, -8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from {y: 3, h: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 22. Let o = x + 29. Which is bigger: 2\/9 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*d - 12*d - 62. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -14. What is the tens digit of -2 + (-6)\/(-2) + y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o. Let b(z) = 17*z - 92. Calculate 2*b(x) - 6*q(x).\nAnswer: -2*x - 184","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - (-2*sqrt(2057))**2)*1 - (sqrt(2057) - 3*(sqrt(2057) + 2 + sqrt(2057)))) + 4.\nAnswer: -8218 + 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*r - w - 21, -3*r + 4*w + 24 = 0. Suppose -4*h + r*v = 5*v - 136, 2*v = -4*h + 140. Calculate the remainder when h is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15746065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.22, -0.3, 1 in decreasing order.\nAnswer: 1, 0.22, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.125 (b) -3\/2 (c) -2\/5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, x: 5}. What is prob of sequence xkx?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7848*i*q**2 + 2395*i*q - 7*i + 19*q**2 - q wrt q.\nAnswer: 15696*i + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3585394.\nAnswer: 2, 223, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2 + 8*g - 8. Let l be i(1). Suppose -65 + 44 = -l*j. Let o be (-52)\/(-14) - (-2)\/j - 54. Which is smaller: -51 or o?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/162*6*(-528)\/150 - (-2)\/(-25).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1826.88847942 and -5.3.\nAnswer: -1832.18847942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**3\/3 - f**2\/2 - 5*f - 2. Is z(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -31. Solve i - 12 = s*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 690 and 388815.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q - 2. Let f be k(2). Suppose -5*l - f*t = -524, -5*l + 0*l = -t - 533. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -8. What is the greatest common divisor of g and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-12)\/(-45)*5. Let u be -24*(w + 38\/6). Let h be (-544)\/u - (-4)\/14. Solve 4 = 4*i, -5*l + i = h + 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18174?\nAnswer: 2, 3, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r + 263 + 140 = -379 + 32 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**9\/168 + d**5\/20 - 3*d**2\/2 - 3. Let j(p) be the second derivative of x(p). What is the third derivative of j(v) wrt v?\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1731*a - 136205. Calculate k(-79).\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1782)*-1*4)\/(sqrt(162) + -3*-2*sqrt(162)) + -2).\nAnswer: 20*sqrt(11)\/7 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 5*q**2 - 198*q - 238. Calculate u(-12).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.36 + -2.56. Put 0.2, l, -3, -81 in increasing order.\nAnswer: -81, -3, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 2*s + 6. Let v be z(-5). Let m(c) = -c**3 + 3*c**2 + 3*c. Let j be m(-2). Let l = v + j. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/10*(21\/(-6) + 5)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s**2 - s**2 + s**2)*(-2 + 0 + 4) - 3*s**2 - s**2 + 5*s**2 - 40*s**2 + 531*s - 531*s)*(s + 3*s - 5*s).\nAnswer: 43*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 18. Let c = y + -47. Let i = -17 - c. Calculate the remainder when i is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**5 + 18*p**4 + 27*p**3 + 12*p**2 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23455886 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 15*z**2 - 9*z + 472. Is s(17) a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159094 (base 13) to base 8\nAnswer: 2022750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) -48 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 237 and 261?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 41. Let f be v(-20). Let q = 49 - 34. What is the remainder when 846\/f + (-2)\/7 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 889 and 11684.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b**4 - 6*b**3 + 6*b**2 - 6. Let z(u) = 5*u**4 + 5*u**3 - 5*u**2 + u + 5. Let m(o) = -5*v(o) - 6*z(o). What is the second derivative of m(a) wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1822 is divided by 1756.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 75, 48, -1, -78?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1. Let t = -2 - -1. Let p(n) be the third derivative of n**5\/60 - n**4\/8 - 7*n**3\/6 + 1903*n**2. Let j = 1 - -5. Give j*r(k) + t*p(k).\nAnswer: -k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50116 and 1094511?\nAnswer: 293328948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = 13*d - 307. Solve -d*h - c + 10 = 0, -5*h + 4*c + 10 = 2*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -357 + 775. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/((r*r\/r**(-14))\/r))*r\/r**(-2\/25))\/(r**(-5))**(-2))**48 assuming r is positive.\nAnswer: r**(8496\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 13 - (2 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87977, -93819, -99675, -105551, -111453?\nAnswer: -117387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 5*b. Let l be k(-5). What is the second derivative of l*t - 3*t**4 + t**4 - 2*t + 5*t wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 + 2*n**3 + 47 + n**2 - 2*n**2 - 92 - 7*n**4 to the form i*n**2 + p*n + k*n**3 + w*n**4 + q and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + 1 - -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*v**2 + 17*v**2 - 63*v**2)*(2 + v - 2) + (5*v - v - 5*v)*(-1 + 1 + 2*v**2) - v + v - 2*v**3.\nAnswer: -91*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 395 (c) -67\/31 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -245437604*x**4 + 459035868*x?\nAnswer: -2945251248*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + x = 23, -5*u - 6*x + 9*x - 19 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 2842*r**2 + 87762*r + 1018602.\nAnswer: -2*(r - 39)*(r + 9)*(r + 1451)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 3*q**2 - 2*q**2)*(-5*q**2 - 6 + 6) - 3*q**4 + q - q - 3 - 3*q**4 + 3 - 2*q**2.\nAnswer: 4*q**4 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p - 1. Let j be f(1). Suppose -24 = -j*i - 4*g, -i + 5*g - 10 - 2 = 0. Suppose 2*n - 2*k + 87 = 311, -9 = i*k. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 - a**2 + 3*a - 1. Determine c(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -821, 0.4, 2\/2679?\nAnswer: 2\/2679","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*k**3*y**2 + 232*a*k**2 + 82*a*y**2 + 2*k**3 + y**2 wrt y?\nAnswer: 4*a*k**3*y + 164*a*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13 - (-693)\/45)\/(2\/35). What is the highest common factor of 728 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -g + 4*g - 145, 3*g - 5*q = 160. Let t = -39 + g. What is the remainder when 9 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pga when three letters picked without replacement from garatrjp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.4 - -14.56. Let r = z + 4.84. Put r, -8, 2\/9 in decreasing order.\nAnswer: r, 2\/9, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-10)*(-16)\/(-6). Suppose w*h + 36 - 52 = 0. Solve y - h*f = -21, 0*f + 3*f - 13 = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 159*m + 12. Let z(q) = -1750*q - 130. What is -65*l(t) - 6*z(t)?\nAnswer: 165*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 104 + 54. Let z = j + -68. Let m(d) = 56*d**2 - d. Let c be m(1). Calculate the highest common factor of c and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 192 - 197. What is the nearest to 0 in -1\/4, 2, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 2710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1156151, 1156156, 1156161, 1156166, 1156171, 1156176?\nAnswer: 1156181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q**2 - q - 3. Let w(v) = -1699*v**2 + 8*v + 16. What is -7*b(m) - w(m)?\nAnswer: 1650*m**2 - m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/15)\/((-4)\/(-60)). Suppose -2*i - 5 = r*q, -i + 4 = q + 5. Put i, -4, -13, 5 in increasing order.\nAnswer: -13, -4, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(3*sqrt(200) + sqrt(200)).\nAnswer: sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 319 - 319 - 18*k**2 to j*k**2 + w + g*k and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -227042 by 2.\nAnswer: -113521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*c + 3*v + 2*v, 7 = 5*c + 3*v. Suppose -c*n - 2*k + 56 = k, -n - k = -30. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*n + 21220 = -26310, -4*b = 4*n - 95024. Suppose 15*p + 7094 = b. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 2*s + 9*t, -2*t + 14 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - 31) + (-15 - (4 - -6)) - -124?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n**3 + 3*n**3 - 102*n**3.\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -15\/8*i**4 + 3\/4*i**2 - 40 - 3\/5*i**5 - 3\/2*i**3 + 3\/2*i. Factor r(t).\nAnswer: -3*(t + 1)**3*(2*t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 2055371?\nAnswer: 67827243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 7*i**3\/6 - 3*i. Let m(z) = -121*z + 62*z + 58*z. Calculate m(g(d)).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(684) + sqrt(684) + -2 + -2*sqrt(684) + sqrt(684)*-2*4)*-5)**2.\nAnswer: 4800*sqrt(19) + 1094505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 304161114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from {i: 1, j: 5, t: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*z**4 - 211128*z**3 - 739629*z**2 + 409398*z - 52824 = 0 for z.\nAnswer: -4, 1\/4, 4402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 - -0.72. Which is bigger: 4 or b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (131 - 161) + -12 + 66?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10996?\nAnswer: 2, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 49 = y, -279*y + 0*u = -281*y + 6*u - 310 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2 = -v - 7, 2*v + x = 18. Suppose 0 = 4*b - 3 + 11, 13 = 3*c - 5*b. Let d = c + v. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-10))\/((-24)\/15). Let q be (-44)\/10 + (-102)\/(-255). Which is the fourth biggest value? (a) 3\/2 (b) 0.5 (c) g (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1539) + 4 + sqrt(1539))**2 + (6*(0 + sqrt(1539)))**2)*6 + 3.\nAnswer: 648*sqrt(19) + 369417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2377*w - 64167. Give b(-27).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 10161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, p: 7, i: 2, z: 4, h: 1}. What is prob of sequence zh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13173 + 6627 - 5*d + 0*d + 6692 to k*d + m and give m.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1680\/15599 + 2\/821. Let q = 229 + -1375\/6. Let k = 245\/132 + -23\/44. Put k, q, r in increasing order.\nAnswer: q, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - -13. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/2, 1, 0.07, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**6 + 171*u**3 - 4*u**2 - 1781?\nAnswer: -360*u**3 + 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(12\/(-12) + (-2273)\/(-2271)).\nAnswer: 2, 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - -4 - (1190 + -1102).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 10*g - 77 = 5*g, g + 59 = 2*n. Solve -5*m + 2*d + 35 = 0, 6 = -4*m + d + n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i - 14 - 3*i - 4*i**4 - 2*i**3 + 2*i + 9*i in the form p*i**2 + m*i + g*i**4 + l + d*i**3 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * 4.326\nAnswer: 0.6489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*c**3 - 17 + 17)*(2 - 2 - 2*c) - c**4 + 0*c**4 + 2*c**4.\nAnswer: 35*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1365\/2 + -705. Let z = h + 22. Is z at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 9.94. Let g = -0.06 - v. Which is the closest to -2\/9? (a) -1\/5 (b) g (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 108?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f - 240. Suppose 900 = 23*q - 18*q. Suppose 11*g = 13*g + a - 90, q = 4*g + 5*a. Calculate the highest common divisor of g and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 23*w**2 - 17*w - 20. Let t(s) = 2*s + 193. Let y be t(-105). Let q(o) = 8*o**2 - 6*o - 7. What is y*q(p) + 6*j(p)?\nAnswer: 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -30232212013 (base 4) to base 6\nAnswer: -155303051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqr when three letters picked without replacement from iziqrqiqzzqzqqrqqzz.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1407 divided by -67.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117) + 3 + 0))**2.\nAnswer: 450*sqrt(13) + 3150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 4. Suppose -h - 4 = -i. Suppose -71 + 83 = 3*c, 0 = 5*k - 5*c - 180. What is the smallest common multiple of i and k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 25. Sort 0.3, r, 2, 4.\nAnswer: 0.3, 2, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 8*p**2 + 3*p - 12. Suppose 2*u = 4*u - 16. Let i be y(u). Suppose -5*d + 6 = -g, 4 + i = 4*d. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 343119*d - 3774672.\nAnswer: 3*(d - 11)*(d + 114384)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41922 and 402526.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 936 - 784. Calculate the least common multiple of 40 and (f\/(-5))\/((-30)\/75).\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -205298668.\nAnswer: -20529866.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 200349 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 0) + 8\/(-4). Let r = a + 2. Solve -3*p = -r*u - 2*p - 10, 3*p = 5*u + 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (106*(-3)\/36)\/((-100)\/(-600)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 70, 49, 28, 7, -14, -35?\n\"Answer: -21*n + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 428 + -416. Let w(m) = 316*m + 71. Is w(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*p - 23, -4*s - 4 + 16 = 0. Let t be (p\/6)\/(12\/(-18)). Solve -5 = 3*u + t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0)*3\/9. Suppose 0 = -4*y - t + 124. Solve 4*d + 3*m = -y, 0 = 3*d - m + 4*m + 27 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 592548 and 225522?\nAnswer: 30219948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 75, -4, 12 in descending order.\nAnswer: 75, 31, 12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2919 + -255. Suppose 3*x = -4*k + 6237, 4*x - 10460 = -5*k - u. Suppose 5*t - 1035 = 2*v, 495 + k = -4*v + 5*t. Round v to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3*u + 12 + 3, -15 = 4*s + 3*u. Suppose -4*d + 2*a + 26 = s, d - a = 4*d - 12. Solve -n - 4*n - d = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1392*b**3 + 4*b - 2. Let a be o(1). Let g = 3254 - a. List the prime factors of g.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38, 24, -2, -46, -114, -212, -346?\n\"Answer: -q**3 - 7*q + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5*n - 4 = -14, -11*i - 16*i - 7*n = -5*i + 43 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 16*i = 1248. Let z = i - 619. What is the greatest common divisor of 35 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35 - 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 295, 5, -1, -10 in descending order.\nAnswer: 295, 5, 0, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -996, -998, -1000, -1002?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*h - 159235 - 32341. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 29*m**2 + m**3 + 5 - 9*m**2 - 15*m**2 - 37*m. Let o be n(-9). Calculate the highest common divisor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3509031 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5336*s + 3659*s - 6236*s - 2912*s - 1121*s.\nAnswer: -11946*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -12.61 and 16.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1596320628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/20 - (-208)\/5. What is the common denominator of 623\/f - (-2)\/3 and -17\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 0, -0.4, 56381?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**2 + 4*o - 2. Let t(x) = 5*x**2 - 3*x + 1. Let l(i) = -4*p(i) - 3*t(i). Calculate l(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/7)*u*u\/((u*u\/u**14)\/u)*u*u**(-2)*u**(-11))**11 assuming u is positive.\nAnswer: u**(187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbqj. What is prob of sequence jq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171)*6)\/(sqrt(81)\/(-2*sqrt(9))).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107874 or -2?\nAnswer: -107874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 305*t - 347*t. Let k(o) = o**3 - o**2. Let d(v) = -3*v**3 + 4*v**2 + 17. Calculate t*k(m) + d(m).\nAnswer: m**3 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 5*y**3 + 5*y**3 + y**2 + 1 + 0*y. Give n(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -285 - -284. Which is the nearest to 0? (a) -8\/19 (b) 4\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0 + 0)*(4*i - 4*i + 2*i**4) + i**5 + i**5 + 0*i**5 + i**5 + i**5 - i**5.\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 104615657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368169, -736319, -1104471, -1472625?\nAnswer: -1840781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(5\/6))\/(a\/a**(-4))*(a\/(a**1*a*a))**(-2\/17) assuming a is positive.\nAnswer: a**(-299\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 303, 2402, 8085, 19140, 37355?\nAnswer: 64518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 8. Let p be m(-4). Let a(f) = -5*f + 3. Let o(b) = 11*b - 7. Calculate p*o(g) - 9*a(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -11*f. Let y(r) = -35*r**2. What is y(g(h))?\nAnswer: -4235*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 = 1382\/155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 60250 to the nearest one thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -16, -5\/3, 0.4.\nAnswer: -16, -5\/3, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*u - 5 - 18, -5*q - u = -11. Suppose -5*m + 45 = p, 2*p + 3*m - 65 = -q. Solve 4*a + p = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 16*u + 194. Let n be l(-11). Is n\/15*(-36485)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/10)\/(1\/(-16)). Let u = d - -10. Calculate the remainder when 4 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20962 + -4?\nAnswer: 20958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -t - 4, -h + 4*t + 7 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, b: 5, x: 2, w: 5, f: 1, i: 2}. Give prob of picking 1 g, 1 w, 1 f, and 1 b.\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 664 and 166.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**2 + 524*y + 542*y - 1112*y)*(-y - y + y) to the form t*y**3 + k*y + r*y**2 + c and give r.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731630 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.9851 times 0.4\nAnswer: 0.39404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 306, 143, -212, -843, -1834, -3269, -5232?\nAnswer: -7807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:27 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25984.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5666*d - 76020 = -4399*d for d.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -531859, -531858, -531857?\nAnswer: -531856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1 - (4 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 13*f - 3. What is q(9)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 26 = -5*o, -5*o + 1 = 3*a - 1. Put -2, 1\/9, a in descending order.\nAnswer: a, 1\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104160 (base 7) to base 16.\nAnswer: -475e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and -178 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 10:14 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**4\/4 + 33*q. Suppose 9*c - 4*c - 10 = 0. Let u(o) = o**2 + 0*o**2 + c*o**2. What is u(i(b))?\nAnswer: 27*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2633 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4402 (base 8) to base 12.\nAnswer: -1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 56007 in descending order.\nAnswer: 56007, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + sqrt(128) + 0 - sqrt(128))*-5)**2 + -1 + sqrt(18) + -5.\nAnswer: 3*sqrt(2) + 3194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 233 by -1.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10123 + -320033?\nAnswer: -303310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 20*j + 21. Calculate z(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48825455 - -4?\nAnswer: 48825460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 34*s**2 + 23*s - 259. Let f be i(-33). Solve f*d - 40 = 63*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -8. Suppose i*y + 5*k - 63 = 22, -3*y - 2*k + 55 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00046328052 rounded to 5 dps?\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.3. Let q = -3.5 + -0.5. Put q, -1, s in increasing order.\nAnswer: q, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127 + 82 - 130)*(0 - 2 + 0)*(-2*c + 4*c - c).\nAnswer: -158*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 3*c + 26, -5*i + 5*c - 80 + 170 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7143782?\nAnswer: 2, 191, 18701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 229, 454, 673, 886, 1093, 1294?\n\"Answer: -3*z**2 + 234*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7631\/(-1170) + (-2)\/10 and -77\/38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 998*i**3 + 2*i - 2. Let f be z(1). Suppose 0 = -2*s - m + 812, 3*s = m + f + 230. Is 67 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1499 plus -38617.6?\nAnswer: -40116.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-13 + 27\/(-36)*12)\/(8\/20)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 152861333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3133 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -13*o**4\/24 + o**3\/3 - 17*o**2 - 4. Give y(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19867668 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 - 5*z**2 - 4*z**2 + (2 + 2*z - 2)*(2 - 2 + 2*z))*(2 + z**2 - 2 + 707*z - 707*z + 86*z**2 + (4*z - 5*z + 3*z)*(-4*z + z + z)).\nAnswer: 83*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 0 + 0*k**3 - 7*k**2 + 0*k + 2\/15*k**5 + 0*k**4 + 1\/35*k**7 + 0*k**6. What is the third derivative of c(w) wrt w?\nAnswer: 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1493*c**4 + 27*c**3 + 37*c**2 - c - 79?\nAnswer: -35832*c + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b + 8. Let z(a) = -a**2 + 7*a + 4. Let h be z(8). What are the prime factors of v(h)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14464 and 678.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (11\/330 - 2\/10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 4, m: 3, z: 2, k: 1, f: 1}. Give prob of picking 1 m and 1 e.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 3*z**2 + 4*z + 3. Let s be r(-2). What is the fourth biggest value in s, 0, -0.5, -0.03?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/1 + ((-10)\/(-10) - 6). Let l = -2 - -3. Let p = 0.9 - l. Which is the third biggest value? (a) w (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkffkofbveffk. What is prob of sequence ko?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*i + 2*j - 5*j, 4*j = -8. Let n be 3\/6 - (-4)\/(-5). Which is the biggest value? (a) n (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**8\/2240 - k**7\/840 - k**4\/6 + 7*k. Let q(a) be the third derivative of y(a). What is the third derivative of q(m) wrt m?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -62401.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -0.1.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 270 + -282. Let o be (1 - -2)\/((-6)\/(-1276)). Let v = o - 7012\/11. Which is the smallest value? (a) v (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 598, 15, -2 in increasing order.\nAnswer: -2, 15, 598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 130 = 34. Let w = l + 32. Suppose w*d - 2*d + 382 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006347 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, k: 2, y: 6, x: 1, i: 2}. Give prob of picking 2 k and 1 i.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d + 0*d + 2*d)*(0 - 1 + 2) + 60540*d - 4 - 120508*d + 60431*d to the form t*d + q and give t.\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 268300 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4437 divided by 153.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 + 36 - 2*c**3 - 18 - 18 + 8*c**4 to the form z + v*c**4 + i*c**3 + d*c**2 + n*c and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 11*y - 6. Determine m(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = u - 0*u. Let j = u + -33. What is the remainder when 34 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 8*g**2 + 2*g + 8. Let j be m(-8). Let y be -2 - (0 - j\/(-5)). Suppose -3*o = -3 - 0. What is the second smallest value in o, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-4))\/((-14)\/49*350\/(-160)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 830 or 834?\nAnswer: 830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + (sqrt(19) - ((sqrt(114)\/sqrt(3))\/sqrt(2) - sqrt(19)))*2 - (sqrt(190)\/(2*sqrt(10)) + 1 + 4))*1)**2.\nAnswer: -60*sqrt(19) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 9:09 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 13394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, -28, -48, -68, -88, -108?\n\"Answer: -20*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k - 24093 = -24135 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3*t + 7 = 0, 434*w + 4*t = 436*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/5 + 1)\/(441\/490)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111112123313 - 123?\nAnswer: 111112123130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -229, -578, -1099, -1810?\nAnswer: -2729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 641*(1\/(-2) + (-9)\/6). List the prime factors of (c\/(-10) + -1)\/((-10)\/(-50)).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 16) in base 12?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-27)\/(-15))*-2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 23\/3. Let h = 0.4 + -0.39. Let z = -2.01 + h. What is the second smallest value in j, 0, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 10\/((-5)\/1). Suppose 0 = -2*q - 0*q. Suppose q*a = -5*a + 15. Put f, 5, a in descending order.\nAnswer: 5, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*x**3 - 12*x - 1?\nAnswer: -498*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 187 and 187 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 0*k**3 - 7*k**2 - k**3 + 8*k - 7 + 2*k**3. Suppose -5*r + 28 = -2. What are the prime factors of a(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277978.2 millimeters in centimeters?\nAnswer: 27797.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-three quarters of a millennium?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w - 3. Let t = -1 - w. Let c(u) = 1759*u - 7034. Let f be c(4). Solve t + f = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76309.2 rounded to the nearest 1000?\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**16*j*j*j*((j**(-13\/3)*j)\/j)\/j*j*j*(j*j**28)\/(j\/(((j\/j**(2\/15)*j)\/j*j)\/j)))**(7\/10) assuming j is positive.\nAnswer: j**(4781\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297 = -79*v + 106*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2 - 1470*l + 180075 = 0. Calculate l.\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**3\/3 + 2*r**2 + r + 2. Let s(b) = 3*b**2 - 9*b - 3. Calculate -7*i(w) - 3*s(w).\nAnswer: -2*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*o - 5, 3*x - 4*o - 13 = 0. Suppose -3*p + 3*f + 12 = 0, x*f + 6 + 3 = 2*p. What are the prime factors of 4*(1 - p)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2 + sqrt(5))*4 + sqrt(5) - sqrt(5)).\nAnswer: -48 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (47080\/(-72760))\/(2\/(-34))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 728 and 13468.\nAnswer: 26936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358488 is divided by 179211?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2044.5 + 83.5. Let k = v - -1961.000853. What is k rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12425, 12426, 12427, 12428, 12429?\n\"Answer: t + 12424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30189 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 632\/(-1185)*((-27)\/(-6) + -2)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 4388*v + 21840.\nAnswer: 4*(v + 5)*(v + 1092)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**3 + 212*x**2 - 3740*x + 15456 = 0?\nAnswer: 6, 56\/3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -900*z**5 + 11*z - 7?\nAnswer: -18000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1490 is divided by 118.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 != 29.371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0, -0.3, -0.4, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3. Suppose 0 = -b*f - f. Suppose f*s = 2*s. Solve -4*a + 5*h - 25 = 0, 4*h - 20 = -s*a + 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*s = 2 + 8, 3*l - 5*s = 17. Suppose 2*o + 30 = 2*b, 5*b + 5*o + 0 - 25 = 0. Let p be (l\/b)\/(12\/(-15)). What is the nearest to p in 5, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, n: 1, v: 7, i: 2, b: 7}. What is prob of sequence nbb?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(96))\/sqrt(12).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1581 plus -110581.744?\nAnswer: -109000.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2. Suppose -3*n = 10 + 5. Let c = n - -8. Let i(v) = -5*v - c*v + 6*v + 6*v. What is i(f(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*(4 + (sqrt(3969)*-1)\/((sqrt(21) + sqrt(336))\/sqrt(3))).\nAnswer: -27*sqrt(7)\/5 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6582 = -35*a - 5637 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 260 + 4*(-1)\/2. Suppose 3*w = 0, 3*n - v = -w + 4*w. What is the remainder when n is divided by 1\/((1602\/44)\/9 + -4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + n + 1. Let t(i) = 91*i**2 - 78*i - 78. Give 78*q(f) + t(f).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2057?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16647916 is divided by 72.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**(-5\/3)\/p)*p)\/p**(-13\/2))\/(p*p\/(p*p**(-31))*p\/(p**(-2\/35)*p)*p))**(-6\/11) assuming p is positive.\nAnswer: p**(437\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62? (a) 4573.1 (b) -2\/9 (c) 3 (d) -0.3 (e) -5 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 192021373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-260)\/(-85))\/52 - ((-17870)\/238 - (-3)\/21).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 2)*4\/6. Suppose 4*z + 18 = 2*u, 7*u - 33 = 2*u - h*z. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46224383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 3\/6*4. Suppose 0 = -2*m + 7*m - 10. Suppose -2*f = -4*w, -m*f - 2 + 0 = -2*w. Which is bigger: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -30636179?\nAnswer: 30636174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -38 (b) 4 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 - 20. Suppose -o + l = -4*o. Let v = -4 - o. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*z - 11 = 0, 3*d = 3*z - 6 + 21. Solve 0 = -0*f + 2*f + d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30 and -0.18387.\nAnswer: 5.5161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**6\/45 - p**5\/10 - p**4\/6 - p**3\/9 + 48*p + 45. Let y(n) be the first derivative of d(n). Factor y(b).\nAnswer: -2*b*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*i - 27*i + 99*i - 369*i.\nAnswer: -671*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 296, 38, -2, 1 in descending order.\nAnswer: 296, 38, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, x: 3, r: 2, e: 2, p: 1, l: 3}. Give prob of sequence llp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7161301 - 10063\nAnswer: -7171364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*h = -421*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 1\/20*i**6 - 5\/2*i**3 + 9\/20*i**5 - 3\/4*i**4 + 0 + 0*i + 96*i**2. Let s(g) = 0. Calculate g.\nAnswer: -5, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 4\/5, -3\/13, -73?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 756 + -7474?\nAnswer: -6516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 629, 855, 1473, 2681, 4677, 7659, 11825, 17373?\nAnswer: 24501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -150399*u**3 + 4*u**2 - 3*u + 10. Let a be b(-5). What is a rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2.8 (b) 36 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1614 divided by 41\nAnswer: 1614\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 896794 to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -39*j**3 - 27*j**2 + 27*j + 27. Let x(q) be the second derivative of 3*q**5\/20 + q**4\/6 - q**3\/3 - q**2 + 4742*q. Calculate 2*f(k) + 27*x(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0 - 39\/(-13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(9\/4)\/f)**25 assuming f is positive.\nAnswer: f**(125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(((-4)\/14)\/(664\/3486))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n - 3*j - 85, -4*n - j = -191. Let v = 57 - n. Let y(r) = -2*r**2 + 21*r - 10. Let l be y(v). Solve 2*w = -4*m - l*w + 4, -13 = m - 3*w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 42, 4, -5, -1 in ascending order.\nAnswer: -5, -1, 4, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**4 + 263*l**3 + 6233*l**2 + 16873*l + 10902 = 0?\nAnswer: -237, -23, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1781244*y + 1781244*y + 4*y**6 + 205*y**2 - 1246*y**4 + 1 wrt y?\nAnswer: 480*y**3 - 29904*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11525 - 2583. List the prime factors of l.\nAnswer: 2, 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 840 = -7*q. Let n(h) = h**3 + 5*h**2 - 8*h. Let i(c) = -5*c**3 - c. Let w be i(1). Let g be n(w). What is the highest common factor of g and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2744 + 2694. Let f = -72 - -119. Let g = h + f. Is g bigger than -2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = i - 37. Suppose 10 = -5*g + i. Let z(c) = -c**2 + 14*c - 10. What are the prime factors of z(g)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 28*u - 26)*(-125*u + 125*u - 27*u**2).\nAnswer: 756*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 271 + -396. Let d = 131 + q. Factor 7\/2*g**4 + 3\/2*g**2 - d*g**3 + g + 0.\nAnswer: g*(g - 1)**2*(7*g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 8916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a. Let s(c) = 2*c. Suppose 0 = 3*j - 5*j + 6. Let k be 0\/((-2)\/4*-4). Suppose k = 2*d - 7*d - 25. Give d*s(w) + j*y(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + 73205*r - 73205*r + r**3 - 2540*r**4 in the form m + a*r**3 + c*r**4 + v*r + q*r**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 10:42 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -4 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 52, 83, 116?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*x - 16*x - 28 = 0. Solve -14 = -x*o + 16*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 2*o**2 - 4*o. Let a be (-6)\/2*(20\/(-2) - 754\/(-78)). Let n(p) = -p**3 + p**2 + p + 1. Determine a*u(s) + 4*n(s).\nAnswer: -2*s**3 + 2*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + 19 + -3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -53226 divided by -6\nAnswer: 8871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w + q - 34, -w = 2*q - 23. Let n(b) = -b**3 + 55*b**2 - 730*b - 181. Let h be n(32). Solve -w = -c - h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11999 - 2.77091. Let q = a - -2.764. What is q rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6278.1 - -5977. Let q = k + 298.354. What is q rounded to one decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*d + 7*d - 8, -4*d = -5*h + 46. Let o be 18 + 12\/(-9)*(-9)\/h. Let u be (-6)\/(-27) - (-448)\/9. What is the highest common factor of u and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2\/5 + 162*a\/5 + 336\/5 = 0. What is a?\nAnswer: -2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77\/13 - -797\/117. Find the common denominator of p and 25\/958.\nAnswer: 8622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4373235 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5755327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 287802 by -287802.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -191*h - 26. Is m(-25) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 102*t**2 - 765*t + 250. Give z(109).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 3 - 2 + 54*t**2 - 4*t**3 - 53*t**2 as k*t**3 + z + f*t**2 + s*t and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-14) - (-240)\/(-70). Let s be 10*(1\/2 + -1). Let v be (3\/(-2))\/(3\/(-8)). Put s, v, i in increasing order.\nAnswer: s, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvvvvkvvkvvv. Give prob of sequence kk.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((5*sqrt(176) + -5)*-4 + -5)*-1)**2.\nAnswer: -3040*sqrt(11) + 70761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 139*o - 89. Let t(i) = -93*i + 58. What is 5*q(y) + 7*t(y)?\nAnswer: 44*y - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 73173?\nAnswer: -73166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/2*88\/(-55) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 880 + 146 = 3*l. Is l a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 114, 97, 62, 3, -86, -211, -378?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 475 and 64700.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - 37. Suppose 0 = -y - v + 6*v + b, y - 22 = -v. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 675 and 2942025?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -369096, -738162, -1107180, -1476126, -1844976, -2213706?\nAnswer: -2582292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o - 63. Let j(p) = -6*p + 66. Calculate 4*j(q) + 5*x(q).\nAnswer: 6*q - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 8. Suppose -7*u = -2*u + u. Let r be n(u). Solve -4*z + 8 = -r*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 - 59*j**2 - 109*j - 171. What is the tens digit of y(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6002023?\nAnswer: 331, 18133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -12, 1, -1, 3, -19, 6 in descending order.\nAnswer: 6, 3, 1, -1, -7, -12, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/10573 + 306539\/412347. Let r = v + 821\/312. Suppose 4*p + h = 161, 2*p + 5*h - 70 - 33 = 0. Calculate the common denominator of p and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*f**3 + 3 + f**4 - 26*f + 29*f to i*f + v*f**2 + s*f**4 + o + a*f**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -47200\nAnswer: 47201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 31*q**3 - 8*q**2 - 5*q + 70. List the prime factors of g(6).\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51 - 0) + (-52 - (-15 + -43 + 23)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 882 = 222. Suppose 0 = -2*v - 3*v + 3145. Let l = w + v. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -2\/3 (c) -3\/34 (d) 4\/7 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k = -4*r - 66, -58*r - 23 = -61*r - 4*k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4764550.\nAnswer: 2, 5, 7, 13613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -594 + 415. Let c = 188 + i. Let z(n) = n - 11. Determine z(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*6\/(-18))\/(121\/33 - 3).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 16 = 2*y - y, -2*n + 3*y + 8 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2392 is divided by 271?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -13 - (5 - -1) - -17?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + (-86 - -96) - (14 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1702*c - 10257. Calculate y(-6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23536 - 12435. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 - (55 + (24 - 55) - 7)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22202132 (base 4) to base 10\nAnswer: -43166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 6*y**2 + y + 15. What is j(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w = m + 296, -4*w = 2*m + 622. Which is smaller: m or -297?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 8*x**2 - 5*x - 6. Let a be g(9). What is the greatest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 5:17 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*b + 25 = 0, 0*b + 5*b + 25 = -5*u. Suppose 4*d = d + 27. Solve 3*s - d = -u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 60046740 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3619.32 and 0.2.\nAnswer: -3619.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 91*h**3 - h**2 - h + 1. Let l(s) = -s. Let j be l(-1). Let a be b(j). Let g = -18 + 28. What is the highest common factor of a and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/60 and 61\/37046188.\nAnswer: 555692820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -98626.82 rounded to the nearest one thousand?\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1114, 1084, 1032, 958, 862, 744?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 11:02 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1779472.902 rounded to the nearest 100?\nAnswer: -1779500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 45?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58 and 20?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -9 + -15 + -1 + -2 - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**2 - 10951*q + 9268?\nAnswer: 4*q - 10951","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -64*(-5)\/(5 + 5). Solve -4*x - w = -4*a, -2*x + 0 = 3*a + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 + 3*d + 1259. Let s be z(0). Let j = 30223\/24 - s. What is the common denominator of j and 56\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*w + 4 = -4*w, 0 = -v + 5*w - 18. Suppose -2*c + 115 = 3*x, v*x - 60 - 20 = -2*c. Calculate the highest common factor of x and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -9 + 6 - -17) + (13 - -1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u - u)*(2*u**2 - u**2 + u**2) + (-6*u - 5*u - u)*(7*u**2 - 25 + 25).\nAnswer: -82*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 4103088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v**2 - 45*v**2 + 18*v**2 + 18*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/8 (b) 2 (c) -300 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 937 - 577. Do -1 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265622579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55416636 - -15616636. Round i to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 57*g**2 - 349*g - 12. Give c(6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u - 8. Let v be p(3). Let l = -1 + -2. Let i = 375.5 + -370.5. Which is the smallest value? (a) l (b) v (c) i (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -41766 and -41765 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-242)\/(-22) - 370\/34.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-9) - (-202)\/3. What is the remainder when 66 is divided by (-10)\/4*j\/(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 2)*-1*(0\/30)\/20. What is the nearest to 2\/95 in -3, c, -1\/4, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18401891 is divided by 3680375.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 q, and 1 y when three letters picked without replacement from {q: 2, x: 2, u: 1, y: 1, k: 2, m: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -488325.6 and -613467?\nAnswer: 125141.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -311 + 356. Calculate the remainder when j is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 r when two letters picked without replacement from {h: 1, f: 1, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, k: 2, o: 1, v: 4, x: 1, w: 3}. Give prob of sequence pwow.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 225001*u - 2. Let b(j) = -65*j + 2. Let o be b(-6). Let s be o\/210 + (-4)\/(-30). Let d be a(s). Round d to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1116 - -26?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2\/5 + 1976*g\/5 + 488072\/5 = 0.\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(12) - sqrt(36)\/(sqrt(48)\/sqrt(4)) - (sqrt(15) - (sqrt(90)*1)\/sqrt(6) - sqrt(15))\/sqrt(5))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5 + 664*q**4 + 52728*q**3 - 454948*q**2 - 8968154*q + 57921708 = 0. Calculate q.\nAnswer: -169, -13, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 0 - 2*j - 1\/2*j**3 + j**2. Let t = -24 + 26. Determine b(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*q = -44, 4 - 16 = -3*q. Let f = -85 + 84. Sort f, v, -3\/2 in ascending order.\nAnswer: v, -3\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 0*i**2 + i**2 - 13 + 17. Let f(l) be the second derivative of -l**3\/3 - l. Give f(t(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*k**4 + 2*k**3 + k**2*n - 5*k*n + 20 wrt k?\nAnswer: -108*k**2 + 12*k + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*s**4 - 2*s**2 + 2*s - 526.\nAnswer: 672*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 837106244?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1469909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -127, -133, -141, -151, -163, -177?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*j*r**2*t**3 + 8*j*r**2 + 4*r**2*t**3 + 17*r**2*t**2 wrt j?\nAnswer: -12*r**2*t**3 + 8*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o = -4*l - 20863, 4*o - 5*l - 83452 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(171)*4)\/sqrt(3))\/(4*sqrt(108) + sqrt(3)).\nAnswer: -4*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11309.3 and 0.48.\nAnswer: -11308.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 77699 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 405 and 3625560.\nAnswer: 3625560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.377 + -0.123. Which is the second biggest value? (a) -3 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.053587355 rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 3*p + 36, 226160*p - 226156*p = -2*d - 48 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/2 - 208596*f**3 - 21736528748*f**2 + 4091998528560*f - 192410598129800.\nAnswer: -(f - 94)**2*(f + 208690)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3271 - 1028 - 1008 - 1235 + 29*m.\nAnswer: 29*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1060*l + 1059*l + 4*s - 1 = 0, s = l - 3*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 53068*z + 265260. Give r(-5).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zpwsagp. What is prob of sequence wap?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 7*p**2 + 5*p - 6. Let h = -1 - 5. Let v be y(h). Find the common denominator of -19\/10 and 61*(v - 2\/18).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t**(-4)\/t))))**(1\/74) assuming t is positive.\nAnswer: t**(3\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 2*f**2 - 4*f - 6. Let h be l(-2). Solve 0 = -z + h*z + 2*m, 1 = -m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 46\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/65 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 14. Let p be q(12). Let c be -15*(-1 + p)\/(-9). Suppose 1 = 2*k - 3. Sort k, c, -3 in descending order.\nAnswer: k, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -66b1b + b?\nAnswer: -66b10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (0 - (2 - (-17)\/(-3))). What is the third smallest value in 1, 2\/5, t, -2\/13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 105*s**2 + 1622*s - 159. What is q(-15)?\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6767 + 1280*k - 6767.\nAnswer: 1280*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*y = -63*y - 36. What is the second biggest value in y, -5, 1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/128 and 33\/2.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12\/(-66) + 398\/11 and 30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m - 3. Let s = 232 + -228. What is u(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - t + 105 = 0, 70 = 3*u - t + 15. Let c = u + -12. What is the greatest common factor of c and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10675583.16093 - 12.\nAnswer: -10675595.16093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 3. Let x = -50 - -149. Suppose -u + b*u - h = x, 3*h = -5*u + 165. What is the highest common factor of u and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19287902 + 11207902. Round c to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**3 - 3*m**2 - m + 2. Is g(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*k - 10, -4*f + 2*f - 5*k = -35. Find the second derivative of 1480*q**5 - 53*q - 1379*q**f + 4 - 2 wrt q.\nAnswer: 2020*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 110\/55 + 25\/(-7) + (-3)\/7. Let c(l) be the second derivative of 4\/3*l**3 - l**2 + 2*l + 0. Give c(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 155*d - 154*d + 5 + 7. What is j(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, p: 2, l: 1, b: 1, q: 1, d: 2}. What is prob of sequence ldp?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 212122 and 6?\nAnswer: 636366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from xkakxaax?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 6:09 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -2. Suppose 12*s = -275 + 263. What is the nearest to a in 1, -0.07, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(44)\/(sqrt(8)\/sqrt(4)))\/((sqrt(22) - sqrt(198))\/sqrt(2)).\nAnswer: -5 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -708, -1, -372 in ascending order.\nAnswer: -708, -372, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 4) to base 12\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15871*s - 10218204 = 15835*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/9 + 117232*f\/9 - 117230\/9.\nAnswer: -2*(f - 58615)*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -63. Calculate the greatest common divisor of i and 1222.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 10. Let c = d - 0. Let o = 12 - c. What is the remainder when 28 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.7, -3\/10, -13, 1\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 6*k**3 + 2*k**3 + 2 + 12*k**3.\nAnswer: 20*k**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(1 - 4) - 2150. What is s rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -98, -207, -316, -425?\n\"Answer: -109*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 21985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/26 - 3568\/292448 and 79\/22.\nAnswer: 15466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2099 in 4, 3\/5, 1, -2, 142, 3?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37\/4 + 267\/28. What is the smallest value in -5, h, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*g + 1 + 18, 4*x + 4*g - 28 = 0. Let c be 9\/(-6) + (-12)\/(-8). Suppose -x*h = -c*h - 614. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17611\/2 + 8763. Let w = -50\/51 - 1337\/561. Calculate the common denominator of w and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 1. Let n be a(-5). Suppose 5*c - 22 = 3*d, -13*d + 11*d + 2 = 0. Suppose c*q - 209 = -219. Sort 4, -3, q, n in ascending order.\nAnswer: n, -3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73.50219 - 73.47. What is h rounded to 3 decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 2*h + 3*u + 49, -4*h - 79 = 5*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 15. What is the remainder when 41 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/40253319 and 133\/12.\nAnswer: 161013276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 116, 109, 108, 113, 124, 141, 164?\n\"Answer: 3*t**2 - 16*t + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/(-840))\/(9\/(-6))*133?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80\/93 - -6\/31. Suppose -5*q = -3*a + 2*a + 6, 0 = 5*q - 3*a - 2. Which is smaller: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162447156?\nAnswer: 2, 3, 271, 16651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/233080 and 81\/20.\nAnswer: 233080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 = -3*x + 9, 4*x = 12. Solve 0 = a - i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78243 and 81147.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -54 and -150111?\nAnswer: 150057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.3428855 - 30776502\nAnswer: -30776502.3428855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.1. Let z(k) = k**3 - 7*k**2 - 8*k + 4. Let p be z(8). Suppose -7*t = -p - 3. Which is the nearest to t? (a) q (b) -0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 0.2, 3\/2, 0.126 in ascending order.\nAnswer: 0.05, 0.126, 0.2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24813 plus -4.938302?\nAnswer: 24808.061698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, v: 2, c: 1, n: 2, s: 2}. Give prob of sequence cnv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v + 1 + 637*v**3 + 3*v + 3*v**2 + 23*v**4 - 639*v**3 - 5*v - 4*v**2 in the form x*v**3 + s*v**4 + j + t*v + y*v**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 + 4105\/(-20). Let t = o - -2735\/12. Calculate the common denominator of t and 101\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*-7\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312, -1299, -2948, -5253, -8208, -11807?\nAnswer: -16044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 3*t**2 + t - 1. Let a be y(-5). Suppose -u = -a + 7. What is the remainder when 147 is divided by u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1298464 divided by 5.\nAnswer: -1298464\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*t + 154 + 118 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from mqeqeeveeeeeeeve?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16612*y**3 + 3*y + 2493 wrt y?\nAnswer: 99672*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-25))\/4*235\/94?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0428 * -16743.\nAnswer: 716.6004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4775409*c**2 - 5521105*c wrt c?\nAnswer: -9550818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65642?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -22696, -7, -2 in decreasing order.\nAnswer: 4, -2, -7, -22696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11839572 = 74*w + 11836020 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*y = 3, 35 + 19 = 5*h + 3*y. Calculate the remainder when ((-1845)\/(-20))\/h + (-2)\/8 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 16*u**3 + 23*u**2. Let n(t) = 15*t**3 + 22*t**2. Let k(i) = -5*n(i) + 4*q(i). What is the third derivative of k(s) wrt s?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*o + 442*o = 2*k + 12, 0 = -5*o + 2*k + 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 48.\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, 25, 82, 161, 262?\n\"Answer: 11*j**2 + 2*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 1340.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x - 14 - 36 + 16. Let w be d(-9). Calculate the greatest common factor of 66 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 3. Let t = -405 + 405.2. Which is the second smallest value? (a) t (b) i (c) -0.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142513831 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-1 + 2)*2. Let m be (1 + -1)\/(v + -3). Solve -2*f + 7*f - 25 = m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - c. Let a(z) = z**2 + 16*z + 2. Give -a(w) - 3*r(w).\nAnswer: 2*w**2 - 13*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 3642994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3)*(-3*q**4 + 7*q**4 + 18*q**4) - 22*q + q**4 - 9*q**4 + 22*q to w*q + o*q**4 + a*q**3 + l*q**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*i**2 - 5 + 3 + 999*i + 2091*i + 1004*i - 4094*i.\nAnswer: 84*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240718 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f = 158 - 95 + 267 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8992*o**4*u - 4*o**2*u + 4*o*u + 5*u wrt o?\nAnswer: -215808*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30356 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: b\"What is the oth term of 89384244, 89384246, 89384248?\n\"Answer: 2*o + 89384242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1100110100010100 (base 2) to base 12\nAnswer: -26470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -254?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**6\/120 + 3*w**5\/20 + w**3\/3 + 5*w**2. Let n be x(9). Solve 3*r = n*r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 11 = 5*n, 18*v - n + 11 = 22*v. Factor 2\/3 + 0*z**3 - 2\/9*z**4 - 16\/9*z + 4\/3*z**v.\nAnswer: -2*(z - 1)**3*(z + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54 - 2*(-3)\/6.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/((648\/63)\/(-8)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703238*k + 158*k**2 - 703238*k - 154*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*6\/(-24)*3\/27.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*k + 16, 0 = 3*k + s - 4. Suppose -k*b + 4*b = 20. Solve -4*n + 0 = b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from zxxju.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s**(-1\/4)*s))\/(s**(3\/8)\/s)*s**(-2\/5)\/((s**4\/s*s)\/s) assuming s is positive.\nAnswer: s**(-21\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2090, 2123, 2160, 2207, 2270?\nAnswer: 2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 39374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/2, -23, -3\/7, 720, -3\/4 in decreasing order.\nAnswer: 720, -3\/7, -1\/2, -3\/4, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (2 + -6 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 224, 2 in ascending order.\nAnswer: -4, 2, 4, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*j**3 + 4*j**2 - 83*j**6 + 0*j**3 + 84*j**6 wrt j?\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-36)\/96*4\/(-30). Factor -1\/5*i**2 + 0*i + j.\nAnswer: -(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 13 = -s, -9 = -j - s + 2. Suppose -3*l = j*l - 54. Calculate the highest common factor of 21 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 266*f**5 + 15*f**4*w**2 - f*w - 2*f - 346*w**2 wrt f?\nAnswer: 5320*f**3 + 180*f**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*d + 19*d + 7038 = -4*d - 585 for d.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156414044 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**7\/210 - y**3\/2 + 3*y**2\/2 - y. Let k(j) be the first derivative of g(j). What is the first derivative of k(v) wrt v?\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.474 + 0.026. What is the third smallest value in 1\/3, -0.04, b, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 676*-5743\nAnswer: -3882268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - f**2 + f + ((2 + f - 2)*(-3 - 2 - 3) + 4*f + 75 - 75)*(0*f - 3*f + 4*f) as j + i*f + p*f**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -10285\nAnswer: -2\/10285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*i - 1 - 46, i - 9 = 3*v. What is the highest common factor of 189 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235457.\nAnswer: 241, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3*v = -4*v - 7, -2*v = -2*f - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nonmmfbkf. What is prob of sequence ofm?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 176286901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.1 minus 10?\nAnswer: -35.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 258 + -255. Let w(s) = -s**3 + s**2. Let q be w(1). Solve 5*o - 22 - a = q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 19 + -11 - (-1 + 7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -213 - -1?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15178 is divided by 1685.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9589007.\nAnswer: 691, 13877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4*z = 15, -4*t - z - 142 = -162 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61.96 + -60. Let c = -0.04 - p. Put c, 1, -0.4 in increasing order.\nAnswer: c, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64838278 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = x + 19, -x - x - 28 = 4*v. Suppose 2*m = -3*r, -3*m + 3 = 5*r + 2. Let q(s) = s - 6 + 2*s**2 - 3*s**2 - s**2 + 3*s**r. Give q(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -2. Suppose -o + 5*r = -k, -8 = 3*o + 4*r + 2. Let w be 4 - (4 - o\/(-6)). Which is the smallest value? (a) 5 (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 388234 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -208, 1, -53, 4, 69.\nAnswer: -208, -53, 1, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3362 times -0.22?\nAnswer: -739.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2 - 2 + 8*f - 9*f. Let k(x) be the second derivative of 137*x**4\/12 + 1146*x. Give y(k(h)).\nAnswer: -137*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3 - 34. Let l(t) = 3*t**2 - 277*t + 2500. Let j be l(10). Which is smaller: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6872849419?\nAnswer: 37, 185752687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90233252 divided by -827828?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66)*2)*2)\/(sqrt(384)\/sqrt(4)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 388 = 2*h, 3*h - 2*h = -v + 121. Suppose -v = 12*z + 6*z. Let d(u) = u**3 + 8*u**2 + 5*u - 10. Determine d(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -15*v + 17*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3720\/7, 13, 2, -0.4 in decreasing order.\nAnswer: 3720\/7, 13, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -2 - 1) + (-4 - -1). Suppose -2*n - 8 = c, -2*w + n + 4*n = -26. Is w greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 21. Let o = h - 5.7. Let p = -0.29991 + o. What is p rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*(-12)\/10 + 0)*5. Find the second derivative of z*q**3 + q**3 + 26*q**3 + 4*q wrt q.\nAnswer: 198*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000035 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2810 (b) 25 (c) -0.011 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b - 36 - 14*b**2 + 173*b + 3*b**2 - 41*b**2.\nAnswer: -4*(b - 3)*(13*b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 47232*z - 1180806. Calculate n(25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 528527.2 millilitres in litres?\nAnswer: 528.5272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33939.\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*n - 22, 0 = -4*n + 5*o + 2 - 44. Let r(u) = 2*u**2 + 10*u - 2. Is r(n) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*h = -1781 + 1373. Which is the biggest value? (a) 12\/5 (b) h (c) 0 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -926*r - 52*r + 156*r = 301*r - 50535 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -147 - -149. Find the third derivative of -12*u**2 + 29*u**p + 101*u**3 - 27*u**3 + 43*u**3 wrt u.\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -10.3. Let z = 3 + i. What is the second biggest value in 0.1, 1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2 - 5\/21*-3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 220704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000492710624 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-11)\/(-3) + 8\/(-12). Let g be (-221)\/260 + f\/8. Which is the nearest to -2? (a) -1\/2 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4 + 0 = 0, 4*z - 2 = 3*y. Let k be (-5 - 1)\/3*y. Suppose -3*m - 7 = -p + 3, 2*m - k = 0. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.04, -0.5, 0.1, -79?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 - 2*n**2 + 5*n**2)*(-17860*n + 30173*n - 15885*n)*(-4*n**2 + 0*n**2 + 3*n**2).\nAnswer: -3572*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2563*h**3 + 163*h + 259050922 wrt h?\nAnswer: 7689*h**2 + 163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*h + 136 = 0, 2*o - 2*h = -2*o - 200. Let n = o - -77. What is the remainder when 48 is divided by n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - 3*z + 4*z)*((-1 + 0 + 0)*(-4*z + z + 2*z) - 933*z + 425*z + 350*z) to the form q*z + j*z**2 + g and give j.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/4, -31, -2\/3, -3, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121 + -3?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 22*o - 76. Let g be -6 - (-3 - o) - -28. Solve -12*h + g*h = -18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*g - 255*g = -58 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3 - 1 + 3 + 3*y. Let m = 56167 - 56176. What is j(m)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -2, 3 in ascending order.\nAnswer: -2, -0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22856802659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.3 - -1.3. Which is the third biggest value? (a) 0 (b) -0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvjvvjvvvv. Give prob of sequence jvj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 4, -5\/3, -5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/408156 and -41\/9.\nAnswer: 1224468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2827.4737556 + -0.5.\nAnswer: -2827.9737556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2 + 4. Let r(k) = k**2 + 1. Calculate 6*m(v) - 22*r(v).\nAnswer: 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3718 - 3698. Calculate the lowest common multiple of f and 274.\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-2\/7)\/k))\/k*k*k**(-1\/7)*(k**4\/k)\/(k\/k**1*k*k) assuming k is positive.\nAnswer: k**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -8\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 3*a - a)*(60 - 15 - 241) + (1 + 4 - 2)*(-2 + 2 + 2*a + (2 - 2 - 2)*(-2*a + 2 - 2) - 2*a + a - a - 9 + 2*a + 9).\nAnswer: -178*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8428 is divided by 169?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*h + 48858354 = -38931656, -h + 438949998 = 5*t. Round t to the nearest one million.\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*(-14)\/196)\/((-3)\/2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 9*p**2 - p - 14. Let h be v(-9). Let k(a) = -a - 1. Let y be k(h). Suppose y*r - 154 = 230. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2654805.171 to the nearest one hundred.\nAnswer: -2654800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 4*j**2 + 5. Let p be q(4). Suppose 0 = -p*o + 115 + 610. Calculate the highest common factor of o and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3 + 0 - t**2 - 2*t**3 + 2. Let h be s(0). Suppose -45 + 9 = -h*c. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000250544987 to seven decimal places.\nAnswer: -0.0000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-12) + (-8)\/(-3). Solve -3*p - m = -d - 2, 10 = 5*m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**9\/h)\/h)\/h*(h\/(h\/(h*h*h**8\/h*h*h)))\/h*h**8\/h**(-2\/11))\/((h**(-2\/9))**(11\/6)\/((h\/h**2)\/h)**6) assuming h is positive.\nAnswer: h**(4036\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 1:37 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**3 + 6*v**2 - 28*v - 113. Let o(c) = -3*c**3 - 5*c**2 + 30*c + 113. What is -6*o(i) - 5*u(i)?\nAnswer: -2*i**3 - 40*i - 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/33 and -43\/2701224.\nAnswer: 29713464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 7:24 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -195\/113 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifteen quarters of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1859)\/(-65) + 1\/((-5)\/(-2)) is divided by (-2 + 3)\/(2\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((0\/(-3))\/(-1))\/(-2). Let w(a) = -a**3 + a**2 + a - 3. Let b be w(r). Let s be (-1)\/(-1) - 6\/b. Solve -2*t + 10 = s*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2879?\nAnswer: -5\/2879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 - -27. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4726*b - 2*b**2 + 3*b**2 + b**2.\nAnswer: 2*b**2 + 4726*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*t**5 - 37*t**3 - 85*t**5 + 175*t**5 + 2370*t wrt t.\nAnswer: 820*t**3 - 222*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 670\/3 - 2683\/12. What is the second biggest value in -2\/11, x, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 2529 = -2*y + 2517, 4*o + 13 = -5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2245271?\nAnswer: 7, 37, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 6:04 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -6*z + 1. Is 23 a factor of 19 - z - (-3 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176195 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 56*h + 622. Let k be z(-11). Let a = 1 + 1. Solve -9 = a*i - 3*n, k = 2*i + 3*n - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*28\/1890*-6*6\/(-120)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, -6, 1\/4, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4060037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 5*n**2 + 2*n**2 + (-10 + 5 - 3)*(8*n**2 + n**2 - 3 - 11*n**2 + 2*n) to the form y*n**2 + b*n + u and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(80) - sqrt(80)*-2 - sqrt(80)) + 1.\nAnswer: sqrt(7)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njn when three letters picked without replacement from {e: 2, b: 2, n: 2, j: 1, p: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t**3 - 3*t**2 - 6*t + 4. Let o(k) = -23*k**3 + 9*k**2 + 17*k - 11. Suppose -2*z = -3*a - 49, 19*z - 81 = 5*a + 15*z. Calculate a*d(u) - 6*o(u).\nAnswer: 2*u**3 - 3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - 14. Let z = m + 36. Let h = 0.1 - 0.1. What is the closest to z in h, 5, -6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3984208 to the power of 1\/2, to the nearest integer?\nAnswer: 1996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253597 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 9*b**2 - 8*b - 8. Let z be h(-8). Let y(v) = 10*v + 2. Let x(a) be the second derivative of a**3\/6 + 2*a. What is z*x(g) + y(g)?\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 592 - 580. Suppose -k - 2*k + 60 = 0. Calculate the smallest common multiple of u and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 188 - -244. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/221, -3\/2, -8\/11, -1\/7?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76*d**3 + 35 - 35 + (-12*d**2 - d**2 - 7*d**2)*(0 + d + 0).\nAnswer: 56*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -234*y - 38 + 36*y**2 + 234*y wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 - 32*g**2 + 560*g + 4800.\nAnswer: -4*(g - 12)*(g + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4007\/31 or -130?\nAnswer: -4007\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -181*p - 3*p**2 + 43907 - 43904 - 141*p - 3*p - p**2 + 3*p - p**2 + 0*p + 0*p + (4 + 1 - 3)*(3*p - 3*p - p**2).\nAnswer: -7*p**2 - 322*p + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 3*s**2 - 4*s - 2. Calculate the remainder when 34 is divided by m(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89798*58.\nAnswer: -5208284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 5850 = -6*u. Suppose 2*p = -4*p + u. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -3)*10\/15*-29. Let m = d + 62. Suppose 5*z = m*z + 18. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/13)*a)\/a)**(-10))**(-23) assuming a is positive.\nAnswer: a**(-230\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**3\/3 - 1227020*f**2\/3 + 2454058*f - 3681096 = 0.\nAnswer: -613516, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*a**2*k**2 - a**2 + 6*a - 24*k**2 + 10*k - 5 wrt a?\nAnswer: 18*a*k**2 - 2*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 10*w - 3. Let y be d(-7). Is -5 + y + (0 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + -1. Let f(b) = -11*b**3 - 5*b**2 - 3*b - 4. Is f(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (-1 + (-11 - 15 - (-26 - -7))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) - (sqrt(68) + (2*sqrt(68)*-1 - sqrt(68))))) + -5*sqrt(68)*-1)\/((sqrt(40)*3)\/sqrt(10) - sqrt(4) - sqrt(24)\/sqrt(6)*-5).\nAnswer: 3*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 357277859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -79 and 21.\nAnswer: -1659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58201?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*((-94 - -89) + (-21)\/(-5)). Let t(d) be the second derivative of 7\/50*d**5 - 52\/15*d**3 - 11\/10*d**4 + 0 - 27*d - x*d**2. Factor t(q).\nAnswer: 2*(q - 6)*(q + 1)*(7*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-459)\/(-216))\/(((-1)\/4)\/1))\/(86\/(-688))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 3, 0, -21, 10, -1 in increasing order.\nAnswer: -21, -5, -1, 0, 3, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - 3*sqrt(114)*-1)\/sqrt(6) + (sqrt(133) + (1*sqrt(133)*1 - sqrt(133)))\/sqrt(7).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -425*x + 70*x + 1063*x as i + b*x and give b.\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, u: 2}. Give prob of picking 3 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 60 + -85 + 1 + 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*v - 4*h + 86, -2*v + 113 = -17091*h + 17096*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6bd (base 14) to base 16\nAnswer: 53f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + (2 - (129 - -58)).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + 31. Determine u(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 354 divide 1226930724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6)*((-1 - 0) + -2). Let r(c) = -5*c**2 - t*c**2 + 0*c**2 + 5*c**2. Let y(i) = -48*i. Give y(r(d)).\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/18)\/((-2)\/(-1164)). Calculate the remainder when 69 is divided by 51\/(-24) + 2 - t\/(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 0.0111?\nAnswer: 0.1887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 64\/5, 2\/113, 2\/5?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -714, 4, 3, -25 in descending order.\nAnswer: 4, 3, 0, -3, -25, -714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 4825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-693*c - 384*c + 735*c)*(1 + 0 + 1) - 5 - 2*c - 2 + 5.\nAnswer: -686*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 859105457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + d**2 - 3*d - 2. Let g be j(3). Calculate the highest common divisor of 175 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 66cc - 356?\nAnswer: 6376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**4\/12 + u**3\/2 - 4474*u. Let k(j) = -2*j**2 + 5*j. Let s(p) = 4*p**2 + 4*p + 2. Let c be s(-2). What is c*h(m) - 6*k(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**4\/8 - 429*u**3\/8 + 9873*u**2\/4 - 67311*u\/2 - 124659 = 0. What is u?\nAnswer: -3, 38, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23942.62545 rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (16\/(-60))\/((-12)\/100)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5690, 5674, 5666, 5666?\n\"Answer: 4*x**2 - 28*x + 5714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1885*o + 660 + 5878 = 883. Suppose -11 - 47 = -w. Let s be (-2)\/7 - w\/(-7). Solve 0 = 3*b - 4*b - 2*d - s, 6 = o*b - 4*d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k - 2 + 0 + 2. Let j = -1 - 3. Let d(r) = 3*r - 4. Let g(x) = 21*x - 27. Let u(i) = j*g(i) + 27*d(i). Give w(u(o)).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2803 or 3133?\nAnswer: 2803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 117379 = 5*f + 458241, 0 = -2*x + 2*f + 170434. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10 = 0, 3*i - 4*n + 0 = -32. Let g = -0.0385 + 2.2975. Let x = 0.259 - g. Which is the second smallest value? (a) x (b) i (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -13, 5, 4, -87, 443 in increasing order.\nAnswer: -87, -13, -8, 4, 5, 443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19543.1 - 19543. What is the nearest to 2\/7 in 2\/5, -6, l, -20\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*l**3 - 4*l**2 + 48031*l + 3432120 wrt l?\nAnswer: 12*l**2 - 8*l + 48031","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 5:15 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4211, 4212, 4213, 4214, 4215, 4216?\n\"Answer: g + 4210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttttt. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82625369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 644\/4186 - (-4352)\/104.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-10)*60\/(-75)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -232221333?\nAnswer: 232221331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 2. Suppose 124*p - 119*p - 4 = o, 5*o = 2*p - 20. Solve -n = -p*a - r*a, 3*a - 5*n = 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72.6 + 79.6. Which is the nearest to -0.6? (a) -0.3 (b) -1 (c) -2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7140*l**2 + 3619*l**2 + 1 + 4*l - 4 + 4026*l**2.\nAnswer: 505*l**2 + 4*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1323781, 2647618, 3971455, 5295292?\nAnswer: 6619129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2746 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/920 and 41\/1397848?\nAnswer: 6989240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2622*l**2 + 5774*l + 40. Let p(b) = -10487*b**2 + 23097*b + 170. Let v(d) = 17*g(d) - 4*p(d). Find the second derivative of v(w) wrt w.\nAnswer: -5252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*s - 14, -12 = s - 7. Solve -3*r + 5*r - 3*v - 9 = 0, 5*r - h*v - 9 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 12949*h + 12949*h - 13.\nAnswer: -2*h**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 374379040 divided by 33740.\nAnswer: 11096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -37*t**4 - 15*t**5 - 68*t**3 + t**5 - 38*t**3 + 8 - 29*t**4 - 62*t**2 = 0.\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a35a - 0?\nAnswer: -a35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.481 and -0.39?\nAnswer: 0.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1084 - -1079. Let g be 10*-2*(-1)\/(-5). Sort g, -3, r.\nAnswer: r, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**15)\/(o\/((o\/(o\/(o**(-21)\/o)))\/o)))\/(o*o**(15\/2)*o*o\/(o\/(o\/(o*o**(4\/3))))) assuming o is positive.\nAnswer: o**(-277\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 390 - 446.7. Let i = 56 + v. Let s(o) = o. Let f be s(4). Which is the nearest to -2\/3? (a) 3 (b) i (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 4*r**2 + 3*r + 12. Let k be p(-5). Let z = 25 - k. Suppose s = -t - 4 + 12, 0 = z*s - 5*t - 56. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*g + 55 = 0, -17*w + 15*w + 3*g - 33 = 0. Let w - 1\/2*r**3 + 0*r**2 + 3\/4*r**4 - 1\/4*r**5 + 0*r = 0. What is r?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 39535443?\nAnswer: -39535443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lolxlolllxolooolol. What is prob of picking 1 l and 1 x?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.108 - -4.192. Let h = -4.5 + i. Put -0.4, 3\/10, h in ascending order.\nAnswer: -0.4, h, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15840000 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(3\/((-18)\/(-177))). Let l = x + -287\/236. Which is the second smallest value? (a) 0 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 9. Let p be z(0). Let k = -5 - p. Differentiate -2*g**4 + 0*g**4 + 12*g**k + 1 - 7 with respect to g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 9:28 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1 - 2*v - v**2 + 0*v**2 + 2. Let r(g) = -g**2 + 5*g**2 - 2*g - 3*g**2 - 2*g + 4. Let w be r(3). What is t(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 0*j - 19 = -4*j, -4*c - 3*j = -19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-70)\/(-21) + -6)*210\/(-56). Suppose -4*r = -2*r - 50. What is the highest common factor of t and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -61*y**3 + 2*y**2 - 2*y + 1. Let u be n(1). Let g be u\/(-6) + (-1 - -1). Solve 2*w = -j - 3 - g, w = 2*j + 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 105*x + 165. Let m(n) = 2*n**2 + 280*n + 494. What is -3*m(i) + 8*p(i)?\nAnswer: 2*i**2 - 162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 6*z + 3. Calculate n(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -162 (b) -5 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 813*m + 218*m + 20010 = 161*m for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 - 401630*m**3 - 6023325*m**2.\nAnswer: -5*m**2*(m + 15)*(m + 80311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1870685939.\nAnswer: 1870685939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 8*h + 13 - 4 - 2 + 12. Calculate the remainder when 19 is divided by l(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 39*t - 1356 = 88*t - 63*t, -105 = 5*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1741, 3912, 6507, 9526, 12969, 16836?\n\"Answer: 212*w**2 + 1535*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1 - -1) + -5 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 38*r - 327. Give u(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.5613 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.095603197 rounded to 3 decimal places?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27259710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/((-1)\/2). Calculate the smallest common multiple of (-189 - -13)\/11 - -34 and (36\/(-10))\/(r\/5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530\/12 - (-6)\/(-36) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17\/(-34) + ((-51)\/(-2))\/3. Find the first derivative of -22*t**2 + 11 + p - 15 wrt t.\nAnswer: -44*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 6)*(-2)\/(-6). Solve j*y = t, 1 = -t + 3*y + 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13611 = 5*h + 3*l, -h = -3*h - 2*l + 5446. What are the prime factors of h?\nAnswer: 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 13*u**2 + 14*u + 2. Let w = 9 - -5. Let z be v(w). Factor 1\/2*k**3 + 0 - 1\/2*k + 0*k**z.\nAnswer: k*(k - 1)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 + 76. Let l(m) = 2*m**2 - m - 2. Let i(r) = 2*r**2 - r - 3. Calculate u*i(c) + 3*l(c).\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26585 - 12083. What are the prime factors of b?\nAnswer: 2, 3, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4555768669 to the nearest integer?\nAnswer: 1658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15370847*h**2 + 19716356*h.\nAnswer: 30741694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one fifths of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-23 - -9) + (-1 - 0). Let u = -0.29 + 0.26. Let z = 46\/189 + 5\/27. Sort u, z, c, -4 in increasing order.\nAnswer: -4, c, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 6544?\nAnswer: -6548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63370? (a) 1 (b) -1 (c) 1\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4349*y**2 + 3125*y**2 + 3204*y**2)*(0 - 1 + 2 + (5 - 1 - 2)*(2 + 3 - 3))*(0*y + 3*y - 2*y) in the form n + a*y**2 + f*y**3 + l*y and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 16 = 0, -p - 4*j - 19 = -0*j. Let v be (-70)\/p*36\/14. What is the greatest common factor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -0.4, -1, -2, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 29*c - 30*c - 139, -89 = -2*b - 3*c. Let k = 1 - -1. Suppose -160 = -k*g - b. Calculate the remainder when g is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1880, -7355, -16480, -29255, -45680, -65755?\nAnswer: -89480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 100*m - 5888. Let u be r(62). Calculate the highest common factor of 360 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*d - 755*d + 5103 = 514*d - 21681 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 1384*u**2 + 8160*u.\nAnswer: 4*u*(u - 340)*(u - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2404 - 25211?\nAnswer: -22403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 6*h + 14. Determine t(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -25, -2, 9 in descending order.\nAnswer: 9, -2\/7, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 42*l**2 + l - 180. Let n be m(42). Which is the third smallest value? (a) -1\/5 (b) -2 (c) -5 (d) 5 (e) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18774 and 24696?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89934?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 0*p**3 + 0*p**4 - 1\/20*p**5 + 7\/2*p**2 + 0 - 4*p. Differentiate u(h) with respect to h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/(-400))\/(21\/(-5))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2*(-9)\/(-408)). What is the units digit of (-8)\/z + (-4824)\/(-34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/3 + 156\/117. Solve -2*t = -2*j + 2, -3*t - i*j + 4*j = 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -184920*y**2 + 89. Let f(z) = -12*z**2. Give a(f(o)).\nAnswer: -26628480*o**4 + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -1435. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (74 - (14 - -13) - 14) + 106\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -471*i - 14592. Give u(-31).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.2592 meters in kilometers?\nAnswer: 0.0362592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 31 = -476. What is the remainder when 57 is divided by (-3 - n\/(-21))\/((-32)\/112)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/10630600 and 41\/23.\nAnswer: 10630600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -473*n**4\/24 - n**3\/3 + 3*n**2. Let z be b(-2). Suppose -5*w + z = -61. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -11*x**6\/6 - 53*x**4\/2 + 17*x**3 - 43*x - 7133. What is the third derivative of w(b) wrt b?\nAnswer: -660*b**2 - 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44080 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17e8b (base 16) to base 14.\nAnswer: 27991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331132 - 211212?\nAnswer: -1203010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 = -2*u, 0*u = u - 5*t + 2. Let f be 5\/2*2 + u. Suppose 3*o - 2*o = -f. What is the biggest value in 2, o, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7491635051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.802856 microseconds?\nAnswer: 0.000000802856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43*(-1)\/((-32)\/(-24))*((-1360)\/(-51))\/20.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/7 + 213846*d**3\/7 + 427696*d**2\/7.\nAnswer: -d**2*(d - 213848)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444938 + 444938 + 283*j - 90*j.\nAnswer: 193*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7744*b**2 - b + 2*b + 99006 - 99006. Let i(x) = -2*x**2. Calculate u(i(d)).\nAnswer: 30976*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*f + 813 = 2739 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 0. Let t(v) = -v**3 - 14*v**2 - 12*v + 9. Let g be t(-13). Sort z, 2, g in decreasing order.\nAnswer: 2, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7114577117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(3\/8)*(x\/x**(2\/7)*x*x)\/x)\/(x**(-1)*x*x*(x**(-6\/11)*x)\/x*x)*(((x*x*x\/(x*x**(2\/5)))\/x)**(-10))**(2\/9) assuming x is positive.\nAnswer: x**(-829\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 9) to base 12.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (2465405\/1290)\/((-1)\/(-318)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -673 + 396?\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (-25 - (-10 + 12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-43)\/(-9) - (-5)\/(-90)*-4. Let p be ((-8)\/z)\/(48\/(-40)). Which is the third smallest value? (a) -4 (b) 16 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(-2*c**4 + 3*c**4 + 0*c**4).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 a factor of 904717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/((-491)\/(-27496))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pspkklkpkffklklssfkl?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*b - 43 = 282*b + 14*r, -3*r = -4*b + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20232, -40319, -60406, -80493?\n\"Answer: -20087*r - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 + (20\/45)\/(28\/147). Let z = -7 + 11. Solve o = -z + g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*s**3 + 1036919*s**2 - 600122098.\nAnswer: 24*s**2 + 2073838*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 18*v**2 + 6*v + 492. What is the remainder when f(0) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(832) + -1 + sqrt(832))**2 + -2.\nAnswer: 128*sqrt(13) + 3342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4464 and 192.\nAnswer: 17856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**6\/840 + z**5\/30 - 7*z**4\/24 - 5*z**2. Factor c(r).\nAnswer: -r*(r - 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 + 3*f**2 - f - 1. Let u(k) = -3*k**3 + 2*k**2 - k - 1. Let n(o) = 3*u(o) - 2*z(o). Let r be n(-1). Solve r*a + 5*c = 0, 0*a = -a - 5*c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -577*c - 3852. Is l(-67) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - y**2 - y**3 + 25505*y - 70636*y.\nAnswer: -y**3 - 45131*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -74, 2416, 1 in descending order.\nAnswer: 2416, 1, -1, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54129411 to the power of 1\/2, to the nearest integer?\nAnswer: 7357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2369 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 26*o**2 - 3. Let g = -11 - -8. Let i be f(g). Suppose 0 = -567*x - 72*x + 13419. Calculate the highest common factor of i and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67 and 37252?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -557082 - -10.96311.\nAnswer: -557071.03689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-648)\/56 - -11)*-7. Solve -l + d = 3*l - 17, 0 = b*l - 5*d - 21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134954 (base 10) to base 2.\nAnswer: 100000111100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1591 is divided by 1573.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*c + 11 = 51*c. Calculate the greatest common factor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 3, -1\/104, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.008*0.3\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25975 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + -2. Let h be j\/(-1) + 2 + -2. Let f be 100*(63 + 1)*h. Round f to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002479 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3871 - 3040. List the prime factors of d.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x. Solve z - 7 + 2 = x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1238 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 146*d**4 - 145*d**4 - 14464*d + 11386*d - 2*d**3 - 2 to the form b*d**3 + t + k*d**4 + g*d + q*d**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 21*j**2 + 4*j + 26. Does 4 divide o(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 77 - (3 + 1\/1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2 - 440*t + 3*t**2 + 878*t - 440*t + 0 + 0. Let p(x) = 2*x**2 - 2*x + 3. Calculate 4*b(y) - 5*p(y).\nAnswer: 2*y**2 + 2*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, r: 7, e: 2, q: 1}. What is prob of picking 2 r?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - 872\/(-48))*25\/15*6\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -10178 - 3*u + 20363 - 10189 + u. Let k(w) be the second derivative of -w**2\/2 + w. Calculate -b(g) + 5*k(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -40\/3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863 is divided by 174.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2083104*p**2 + 1855890.\nAnswer: 4166208*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.91913l in millilitres?\nAnswer: 73919.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2636 (base 11) to base 14\nAnswer: 136b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 1:52 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p. Let x(h) = -59237*h**2. What is u(x(g))?\nAnswer: -355422*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*p**6*v**3 + 8*p**4*v**3 + 2*p**2*v**2 - 5611*p*v**3 wrt p?\nAnswer: 7080*p**3*v**3 + 192*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, k: 17}. Give prob of sequence kka.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 30. Solve p = t*p + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.2 - -2.2. Let q = -0.27 - -0.3. Let v = 11\/327 + -1385\/2289. What is the fourth smallest value in v, -5, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 - 103*x**3 + 9*x**3 + 3*x**4 + 0*x**4 + 100*x**2 + 138*x + 54*x.\nAnswer: -2*x*(x - 2)*(x + 1)*(x + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(6\/13)\/t)\/t)*t*t*(t*t**23\/t)\/t)\/(((t**(2\/7)\/t)\/t*t)\/(t*t**27)) assuming t is positive.\nAnswer: t**(5028\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 122, -257, -2 in descending order.\nAnswer: 122, 2, -1, -2, -257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 13995347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23495 and 4255?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(28) + (2*sqrt(70))\/sqrt(10).\nAnswer: 3 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/108 and -71\/152568?\nAnswer: 457704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/7)\/l)\/(l\/(l\/l**5)))**(11\/7)*(l\/l**(-11)*l**11)**48 assuming l is positive.\nAnswer: l**(53722\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 325 and 372725?\nAnswer: 4845425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44 - 1140341?\nAnswer: -1140242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118531 is divided by 2891?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 176*x**2 + 176*x**2 - 350*x**2. Let h(k) be the second derivative of -4*k**4 + k**2\/2 - 1588*k. Give b(h(p)).\nAnswer: 4608*p**4 - 192*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45311 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3432 divided by 1716?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**4\/4 - 22*t**3\/3 + 17*t**2 - 75*t - 141. What is the hundreds digit of q(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-4) + (-12)\/180*-15\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -246 + 2001\/8. Suppose -2*a - 5*r - 2 = 0, 3*a - 3*r - 15 = 3. Calculate the common denominator of 4*a\/((-528)\/(-9)) and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1706 + 1708 + 18*j - 3414.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20916 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26 and -78.\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23910 = 9*a - 85164. Suppose -1240 - a = 6*v. What is the common denominator of v\/45*10\/96 and -61\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 10*k - 11*k + 14*k + 6*k.\nAnswer: -k - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/125*(-2380)\/(-102))\/(11\/((-55)\/2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**3 - 2*s + 1. Let v(x) = -x + 1. Let a(o) = p(o) - 2*v(o). Find the first derivative of a(l) wrt l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1390.043848 + -1390. What is o rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2*m = -13, 2*d + 2*d = -4*m + 36 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 20911.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49546 (base 11) to base 5.\nAnswer: -4234243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3360\/(-1400))\/(1 + (-8)\/10). Let v be ((-136)\/6)\/((-68)\/j - 6). Calculate the highest common divisor of 221 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 400 - 413. Let t = 78 + f. Calculate the highest common divisor of t and 325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(1*(-1)\/(-1)). Let j be 9\/4 + z\/(-28). Let p(g) be the second derivative of g**4\/6 - g**3\/6 + g**2 + g. Give p(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143508101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 173601*t*y + 5583639*t wrt y.\nAnswer: 173601*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -833*n**2*p**3 + 20*n**2*p**2 + 21*n**2 - n - 4*p**6 wrt p.\nAnswer: -4998*n**2 - 480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqqe when four letters picked without replacement from qqqeeq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96 + 2*c + 2*c + 97 + (-5 - 9 - 3)*(-12*c + 44*c - 21*c) to m + o*c and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, -0.5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110647829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 2\/5 (c) -24 (d) -1 (e) 136 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8873 and 127.91.\nAnswer: 113.494543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - s**3 + 0)*(112 - 121 - 135*s + 202*s + 732*s) to the form c*s**4 + l*s + a*s**2 + d + t*s**3 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/2441? (a) 2\/9 (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -488222.\nAnswer: 6\/244111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 3:24 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26299)\/(-117) + (-8)\/(-36). Let s = w - 202. Does 23 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5 - 28*p**4 + 56*p**3 + 1888*p**2 + 5904*p + 5184.\nAnswer: (p - 18)**2*(p + 2)**2*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*y - 8, -3 - 5 = 2*x + 2*y. Suppose 5*v + 0 + 10 = x. Let a(p) = p - 1. Let w(g) = 7*g - 5. Let b(m) = -6*a(m) + w(m). Determine b(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 6, 3 = 4*i + a - 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**2\/2 + 683335*b + 1366669\/2 = 0.\nAnswer: -1366669, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -15. Let o(p) = -p**3 + 7*p**2 - 5*p - 6. Let k be o(q). Solve k = -m + 3*m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2, -71, -114, -119, -74, 33, 214?\n\"Answer: 2*u**3 + u**2 - 86*u + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14167 is divided by 2804.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1303 and 24?\nAnswer: 24.1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26846520917 + 7*l**3 + 26846520917.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -1\/5 (b) -5 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -1, -2, -8\/5, -1\/4, -1432, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h = -11*h - 2448. Let n be ((-2)\/(-8))\/((h\/(-108))\/(-17)). Solve n*w + 6 = w - 2*p, 3 = 3*p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 12*g - 13. Suppose w - 13 = 2*w. Let r be c(w). Suppose 0*b - b + 42 = r. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 - 20*c**2 - 191*c - 1921. Calculate i(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a millimeter in micrometers?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 2\/((-10)\/(-23)). Put 1\/2, 5, i in descending order.\nAnswer: 5, i, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-10) - 5\/((-250)\/(-55))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 24 = -78 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-156)\/(-455)*35\/15. Suppose -2\/5*p**3 + z*p + 0 + 2\/5*p**2 = 0. What is p?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or 4\/3?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) - (-175)\/10. Suppose n + 1 = w. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -307\/14?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 6:19 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5313460 is divided by 590384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 4*x**2 - 20. Let l be v(-6). Let z = -85 - l. Suppose -2*q + 10 + 44 = 0. Calculate the remainder when q is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-100))\/(840\/(-1120)). Which is the fifth biggest value? (a) 0.2 (b) 0.3 (c) 4 (d) o (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29674 <= -0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 - 0. Let h be ((-190)\/(-1425))\/(0 + 1\/5). Which is the nearest to h? (a) -3 (b) 1\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001111 (base 2) in base 6?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 3*x - 4*x. Is x at most as big as -4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10773707.\nAnswer: 7, 431, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173777 is divided by 43439.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*d - 34*d - 66. What is the tens digit of d*-6*42\/(-54)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 304872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 1 + 13. Suppose -k = -3*m, 3*j - 4*m - 5 - 5 = 0. Let l(c) = 2*c - 3. What is l(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147 - 111. Calculate the remainder when 70 is divided by l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -50?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28175141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**4 + 125*h**3 - 135*h**2 - 3645*h - 6750 = 0.\nAnswer: -25, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 1 (c) 12 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1064808 is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 165 - 163. Factor 2*b**3 + 6\/7*b**5 + 0*b + 16\/7*b**4 + 0 + 4\/7*b**k.\nAnswer: 2*b**2*(b + 1)**2*(3*b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-841)\/(-319))\/((-46)\/506).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -261*v**2 + 116*v**4 + 43*v**2 + 157*v**4 wrt v.\nAnswer: 6552*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1002352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -14 in ascending order.\nAnswer: -14, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/((-35)\/(-14)) + 0 + 0. Suppose 13*u - 12*u = h. What is the biggest value in -2, 3, u, 4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 2, a: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*b + 2*b. Let x be ((-4)\/b)\/(1\/14). Let v = x + -4. Solve 20 = -y + 5*o - 0, -o + 20 = v*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1*((sqrt(704)*-5 + sqrt(704))*-3 - (sqrt(704) - (2*sqrt(704)*2 - sqrt(704)))))*2)**2.\nAnswer: 1792*sqrt(11) + 551952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1830230, 3660477, 5490722, 7320965, 9151206, 10981445, 12811682?\nAnswer: 14641917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 6*c - 5. Let g be a(-7). Suppose -4*u = 5*v - 16, 39 = g*u - 4*v + 5. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130304 = 130875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 7) to base 4.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5714224*a + 10924013 wrt a.\nAnswer: -5714224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4454 is divided by 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.23 + -1.23. Sort o, 0.2, -0.1, -0.2 in decreasing order.\nAnswer: 0.2, -0.1, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*n + 11, 3*y = -n - 4*n + 21. Suppose 6 = -2*f - y*s, f = -s + 2*s + 3. Which is bigger: f or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36322*q**2 + 50675*q?\nAnswer: 72644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8146, -8197, -8262, -8347, -8458, -8601, -8782, -9007?\nAnswer: -9282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.067, 4, -0.4 in descending order.\nAnswer: 4, -0.067, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 3. Let j be l(-3). Suppose -4*k = -x - 0*k + 9, -5*x - k = -108. Suppose 4*o - x = -i, -o - 4*o = 5*i - 30. Is j bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*w + 0*w - 14 = 0, 5*z + 70 = 4*w. Suppose -9 = 2*o + 1, 0 = -b + o - 274. Let l = z - b. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -2347915?\nAnswer: -19\/2347915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4342040 - 6?\nAnswer: 4342034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239415, 239324, 239233, 239142?\nAnswer: 239051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzvzvzvz. Give prob of picking 3 v.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t + 4. Let i(d) = 6*d + 3. Let r(l) = 6*i(l) - 5*u(l). Let w(f) = f - 2. Determine -5*r(v) + 6*w(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*s = -1675 + 1494 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3932.283868 + -0.016132. Round k to the nearest 10.\nAnswer: -3930","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4087499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - w - 8. Determine k(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 2 = -3*n, -11*n - 5 = -6*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(3\/5)*s**(-1)*s)\/(s*s**(1\/6)*s*s*(s\/(s*s\/((s*s**(1\/9))\/s)*s*s))\/s*s) assuming s is positive.\nAnswer: s**(11\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98\/267 - -3\/89. Let d be (-4)\/6 - (-15)\/9. Which is the closest to d? (a) l (b) -0.4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 44850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 921 - 938 + 0*v. Let j be i(-20). Solve -j*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 395*y + 1383*y**5 + 93699*y**2 - 93699*y**2 + 60*y wrt y.\nAnswer: 27660*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - j = -z - 1, 1 = -z + j. Solve 3*f - 6 = z, 2*f - 16 = 4*g - g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - 1239. Let n(t) = -4*t**2 - 2*t. Let j(a) = -37*a**2 - 19*a. Let w(b) = 2*j(b) - 19*n(b). Calculate p(w(c)).\nAnswer: -6*c**2 - 1239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -175.0126913 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 - -96. Solve 5*w = 4*i - 35, -w = -4*i + t*w + 29 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10010111101101?\nAnswer: 10010111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16 * -28\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 42 = -14*x, -8*h = -7*h - x + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48*n**4 + 257 + 46*n**4 - 4*n - 141*n**4 + 45*n**4 wrt n.\nAnswer: -8*n**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/2670 and -93\/12100.\nAnswer: 3230700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101965653 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 11:47 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 18 = -2*t, 8*d = 5*d - 3*t + 21 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-488)\/(-183))\/(17\/9 + -2). Let k be ((-249)\/u - 10) + 159\/24. Is k > -2.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 249892947, 249892945, 249892943, 249892941, 249892939?\n\"Answer: -2*z + 249892949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -511156777*y**3 - 3167539*y**2 - 39*y wrt y.\nAnswer: -3066940662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -12. Let p be (t*(2 + 2))\/2. Find the third derivative of 7*u**2 + 0*u**4 - 3*u**4 + 0*u**p + 7*u**4 wrt u.\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -498\/559 (c) 0.4 (d) 68\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18.9 (b) -0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1288 = 4*h + 1304, 0 = -3*x - 2*h - 2. Factor 3\/2*f - 1\/4*f**3 + 0 - 1\/4*f**x.\nAnswer: -f*(f - 2)*(f + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t**2 + 0*t**2 - 17*t**2 to c*t + b*t**2 + d and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1276940910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 12. Let c be s(-5). Let t(p) = -4*p + p**2 + 0*p**c + 82 - 87. Determine t(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*g - 3*g, 3*g - 2 = -5*y. Suppose 3*x + 13 = y. Let c = 20 + -59\/3. Put c, x, -0.3 in decreasing order.\nAnswer: c, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 3*(-4)\/(-12). Suppose 0 = 5*j + 3*c - 6, -2*j + x*c + c + 9 = 0. Let q = -11 - -47. Calculate the greatest common factor of q and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*x + 110 = -301, 5*x = 3*f - 352. Calculate the remainder when f is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 547a2?\nAnswer: -547a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 130275477683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(13)*2 + -1 + sqrt(1053) + 3 + ((sqrt(1300)*-1 - sqrt(1300)) + 4 + 2)**2.\nAnswer: -227*sqrt(13) + 5238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from dhdc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 86 - ((-3)\/(-9)*6 + -2). Let f = k - 91. Let c(j) = -5*j**3 + 3*j**2 - 11*j + 3. Is c(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*s - 767 = 409 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16041 - 534. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 48 - 9 + f**3 - 39.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-198)\/11 - (8 - 65)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*(-3 + -78)\/(-3). Let g(o) = o**3 - 11*o**2 + 44*o - 69. Let x be g(5). Put v, 2, x, -2 in decreasing order.\nAnswer: v, 2, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.7, -1.1, 3, -4, -1\/3 in decreasing order.\nAnswer: 3, 0.7, -1\/3, -1.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 10:00 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h + 3*o + 1714 = 0, 0 = 5*h - o - 2148. What is the hundreds digit of (4 + (-184)\/40)\/((-2)\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**3 + 0*a**3 - 19*a**2 + 6*a**3.\nAnswer: 18*a**3 - 19*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 6 = -l, 0*j + 2 = l - 5*j. Let m be ((-228)\/(-58) - 4)*(-4 + 6). Which is the second biggest value? (a) m (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51*z**2 - 366871*z + 79384790 wrt z?\nAnswer: -102*z - 366871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/234, 2\/77, 0.4, 2, -0.4 in ascending order.\nAnswer: -0.4, -1\/234, 2\/77, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6286 - -6311. Let v = 22 - 12. What is the remainder when r is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565304373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, -0.1, -8, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1599, -2705, -3755, -4749, -5687, -6569?\n\"Answer: 28*h**2 - 1190*h - 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 575060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -272 + 272.0134. Round y to four dps.\nAnswer: 0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -683 greater than or equal to -7527\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6302966 in -3\/8, -5, 1\/3, -6, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 13\/2*d**2 - 1\/6*d**3 + 1\/12*d**4 + 0 + 2*d. Is s(0) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 312\/22 - (-3 + 105\/33). Let r(f) = -f + 8. Calculate the remainder when r(4) is divided by ((-24)\/(-126)*-3)\/((-4)\/x).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -122 - 780*n + 183 + 145 + 713*n. Determine o(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 169*m. Let o(r) = -18*r**2. What is o(n(p))?\nAnswer: -514098*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15991*x**3 - 7*x**2 + 343 wrt x.\nAnswer: 95946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n + 12*n)*(-150*n - 102 + 213 - 107).\nAnswer: -1800*n**2 + 48*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15862698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11*(-8)\/(-660))\/(9\/(1485\/6)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2366 and 2356198.\nAnswer: 16493386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x. Let w be (-1335)\/(-445) + 3\/2*-2. Let n(i) be the second derivative of 0*i**2 - 1\/6*i**3 - 43*i + w. Determine n(k(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36.94 + -0.06. Let s = 42 + m. What is the biggest value in 3, s, 1\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**(-42)*p**(-2\/9)*(p*p*p**(-1\/4))\/p assuming p is positive.\nAnswer: p**(-3005\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x - 1. Let k be d(-1). Suppose -10 = -14*u + 19*u. Let b = u - k. What is the highest common factor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f - 138 = -16*f. Let g = f + 45. Let r be ((-5)\/2 + 2)*2. Which is the closest to g? (a) 1 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o**3 + 4*o**2 + 729*o + 2187. What is n(-3)?\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - y + 1. Let l(z) = -7*z**3 - 6*z**2 - z - 7. Let v = 9 - 8. Let d(q) = v*l(q) + 5*m(q). Determine h so that d(h) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 + h**4 - h**3 + (0 + 3 - 1)*(2*h**4 - h**4 + h**4) + 36*h**4 + 50*h**2 - 50*h**2 in the form v*h**3 + p*h + d*h**4 + s + l*h**2 and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/173272 and 127\/6993888.\nAnswer: 76932768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -27*p + 100*p - 35*p - 24*p - 25*p. Let i(w) = 5*w + 51. Give i(f(o)).\nAnswer: -55*o + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 100?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27659, 27690, 27723, 27758, 27795?\nAnswer: 27834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttiitt. What is prob of sequence itit?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2557e4 (base 15) to base 3\nAnswer: 10100222011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 3*s - 88, -53 = -65*x + 68*x + 2*s for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**5 - 80*r**4 - 400*r**3 = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 14 + (44 - 48 - -9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/12 (b) -6\/5 (c) 2\/5 (d) 1\/6 (e) 184\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*c + 665*c + 377 - 2837 - 1302 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -23.8. Which is greater: u or -10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/(p*p**(5\/4)))**(-4)\/(p**11*p*p*p**(-13))**42 assuming p is positive.\nAnswer: p**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + i**4 + i**5 - i**4 - i**5 + 2 - 2 + (-3 + 3 - 2*i**5)*(4 - 3 + 1) - i**4 - i**5 + i**4.\nAnswer: -5*i**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55558 = 4*w + 2*m, -5*w + 3*m + 74387 - 4923 = 0. List the prime factors of w.\nAnswer: 29, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3, x + 5*u + 61 = 3*x. Suppose -27 = -5*n + x. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -708 in 256, 1.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144953525.683 - 0.2?\nAnswer: -1144953525.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*x**3 - 45*x**3 - 188*x - 49*x**3 - 42*x**3 + 183*x**3 + 15*x.\nAnswer: 3*x**3 - 173*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(2) + sqrt(2)*3 - sqrt(2))*-3*3)\/((-2*sqrt(72) + sqrt(72))\/sqrt(8) + sqrt(63)\/sqrt(448)) + 0.\nAnswer: 24*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -22*j. Let g(u) = 5*u**2 + 4*u + 4. Let l(c) = -6*c + 7*c + c + 11*c**2 + 9 + 7*c. Let k(h) = -9*g(h) + 4*l(h). Determine w(k(o)).\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/11 - 256\/(-1408)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 19 = -2*w. Let k = 4 - 15. Let d = w - k. Sort -5, 3, d.\nAnswer: -5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -380 - -1717. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1))**(-2\/73))**(-28) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(108) + (sqrt(2700) + (sqrt(2700) - (2*sqrt(2700) + sqrt(2700) + sqrt(2700))))**2.\nAnswer: 36*sqrt(3) + 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 38?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u - 6, -4*c = -u - 18. Suppose c*s - 54 = -2. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -150415.6 to the nearest 100.\nAnswer: -150400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**4*j - 5*a**4 - 4043*a**3 - a**2 + 46*a + 12*j wrt a?\nAnswer: -48*a*j - 120*a - 24258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m*w**4 + 116*m*w**3 + 51762*m*w**2 + m*w + 15382*w**5 - 2*w**2 + 2*w - 2 wrt w.\nAnswer: 48*m*w + 696*m + 922920*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 4*h**2 + 3*h - 1. Let z be m(-3). Let d = 141 - 146. Put d, -6, z in increasing order.\nAnswer: -6, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = f + 3*y, -17*f = -20*f - y - 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**2 + 132*n + 231. Determine f(-17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 563 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1853 - -0.17719. What is f rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56262 + 28140 + 28122 - 7*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 6*g**2 - g + 3. Let p be j(6). What is the common denominator of ((-3)\/24)\/(p\/(-438)) and 69\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 9:00 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 2*h - 70*i, -3*i - 40 = 2*h - 29 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 6 = 2*p, 0*p = 2*k - 3*p - 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 12*c + 67. Let w be t(-10). Suppose 0 = -x - a + 22, -3*x + w = -a - 3*a. What is the remainder when x is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -9*g**2 - 55*g + 1. Let q be w(-6). Solve -q = -z - 1 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2864, -2760, -2656, -2552, -2448?\nAnswer: -2344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7 - z - 2 + 0*z. Let x be p(5). Let a be (0 - 8\/12)*(-2)\/(-28). Which is greater: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127 + -81. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2756\/9 - -306. Let d = 0.8 + -1. What is the closest to -2 in h, d, -2\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*s - 80. Put s, -5, 5 in ascending order.\nAnswer: s, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.244337kg in milligrams?\nAnswer: 9244337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 980 = 4*j, 2*j - 185 = -r - j. Suppose 0 = 2*i + 4*q - 112, -2*i + 2*q - r = -6*i. What is the highest common divisor of 24 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 3:38 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 44, 202, 592, 1316, 2476, 4174?\n\"Answer: 17*x**3 + 14*x**2 - 3*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -877975, -1755919, -2633863, -3511807, -4389751?\nAnswer: -5267695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20932 - -20932. Let v(l) be the first derivative of x*l**3 + 22\/5*l**5 + 35*l + 0*l**2 + 0*l**4 + 22. What is the first derivative of v(s) wrt s?\nAnswer: 88*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4619\/(-4340) - 2\/7 and -79\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 46*u + 29*u**2 + 46*u to n + y*u**2 + o*u and give y.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) - sqrt(156) - sqrt(39))\/sqrt(3))**2 + sqrt(13)*-2*-3 + 2*(sqrt(1573) - (sqrt(1573) + sqrt(1573) + sqrt(1573)*3)).\nAnswer: -82*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 266986363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3077112258 divided by -3.\nAnswer: -1025704086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7 + 2. Suppose 2*r = 4*j + 24, 2*j = -14 + 4. Suppose -r*l - 14 = 4*w, w + 2 = l + 3. Put l, 0, k in decreasing order.\nAnswer: k, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5677 - -0.0677. Put -0.01, i, -3\/2 in decreasing order.\nAnswer: -0.01, -3\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3 + 4. Let p = -3 - m. Let g = -115\/2 + 59. What is the closest to -5 in -1\/2, p, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 10*c + 76 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2 - 2*x - 1. Let o be p(7). Suppose -o = l + 4*l. Sort 4, -4, l in ascending order.\nAnswer: l, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-4)\/((-16)\/(-36)). Let n = v - -10. Differentiate n*y**3 + 0*y**3 + 0*y**4 + y**4 - 5 wrt y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 5. Let d be u(-4). Let j(c) = 1 + c - 1 - d. Let f(t) = t**2 + t - 8. Let p(g) = f(g) - 6*j(g). What is p(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26*(-3)\/28*((-71)\/142)\/((-3)\/4)\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -513, -558, -603, -648, -693, -738?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + o + 10 - 52 = 0, -4*y + o + 30 = 0. Suppose -10*i = -y*i - 42. Let u be (1881250\/i)\/((-1)\/(-48)). What is u rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6)*(5 + -2). Let b be -3*(x + 2 + -2). Solve -y = -2*y - b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12805740 is divided by 854?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -38. Suppose -3*k - 3*j + 9 = 0, 15 = 6*k - 3*k - v*j. Suppose 0*t + 18 = 5*l - 3*t, -7 = -k*l - 5*t. Let r(h) = -h**2 + 8*h - 3. Calculate r(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n + 209 = -79. Calculate the lowest common multiple of n and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 4. Let v be s(0). Suppose v*n - 148 = 5*c, n + 2*c - 88 = -2*n. Suppose 3*i + i = n. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-6)*(-90)\/4. Let s be (-1 + 382\/d)\/(3\/(-2184)). Let w = 5366 - s. Calculate the common denominator of w and 64\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 22 + 38)*((5*w - 3*w - 6*w)*(-2 + 2 + 1) - 11*w + 15*w + 25*w)*(6*w**2 - 6*w**2 - 4*w**3).\nAnswer: -2700*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + 7. Suppose -5*h + h = -m. Suppose -4*z + 3*x = -159, -h = 5*x - 0. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, 90, 220, 368, 540?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5 + 30*x**4 - 138*x**3 + 130*x**2 + 300*x = 0. Calculate x.\nAnswer: -1, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 71?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96239055.\nAnswer: 3, 5, 11, 583267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 4*m - 29. Calculate c(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 12*n + 3. Let p be (-1 - (n + -1))*3. Suppose -a + 4 = i, 2*i - 2*a = -7*a + 14. Solve -p = i*y + 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -311*f - 1065. What is n(-5)?\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5400, -5, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 31 + -9 + -2 + (-9)\/(-3). Suppose 1568 = 27*j - i*j. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*z - 267 + 3*z + 267.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18, 35, 54, 75?\n\"Answer: q**2 + 14*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*q + 573*q - 285*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -719*s + 6435. What is f(8)?\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - m = -12*m - 187 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2*q, 4*q - 5*q - 2 = -3*t. Let o(i) = i + 1. Let j(n) = -2*n**2 - 4*n - 3. Calculate t*j(s) + 4*o(s).\nAnswer: -2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 99 (b) 86431 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4*-14801.216\nAnswer: 59204.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -384 or -376?\nAnswer: -376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13451037 is divided by 14479?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a8310 - -8?\nAnswer: -a8303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 18242*g**2 + 150*g**4 + 20931 - 3*g**5 - 3294*g**3 - 35904*g - 123 + g**5 = 0.\nAnswer: 1, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10284 - (-4)\/5*25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*x - 22 + 22)*(0*x**2 - x**2 - x**2) as p*x**3 + c*x**2 + t + y*x and give p.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence koo when three letters picked without replacement from okxmmkkomko?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 12*t - 13 = -34 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3 + 159*c**2\/4 + 183*c\/4 + 9 = 0. Calculate c.\nAnswer: -12, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 23\/176273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-195)\/(-6))\/(-5))\/(75\/(-135000)*100)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/60*147*-10. Let y = h + -191. Solve -y*i + 14 = -r, -6*r = 2*i - 2*r + 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.5 (b) -5967 (c) -3\/4 (d) -0.5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107648, 215312, 322980, 430652, 538328, 646008?\nAnswer: 753692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 54138 = 4*c, -7*b = c - 3*c + 189371. What is b rounded to the nearest one hundred?\nAnswer: -27100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/(-76))\/((-36)\/144*(-5)\/(-14))?\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.793983 kilograms to tonnes.\nAnswer: 0.008793983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-22) - ((-16)\/(-32))\/((-22)\/(-624))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*p + 258, p + 687 = 5*q - 3*p. Does 45 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 16. Let h be u(7). Let k be (5\/20 - (-1)\/(-4)) + -3. Suppose -y - 12 = -7*y. Put k, y, -5, h in ascending order.\nAnswer: h, -5, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.5, 20, -221?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1563334 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*o + 13. What is the remainder when 10\/(-15)*(1*15)\/(-1) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3211*w + 719384. What is x(-224)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2045 is divided by 629.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.12 and 0.1.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from {o: 2, q: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 - 0.49. Let a = 447\/1589 - -1\/227. What is the nearest to a in 3, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*f - 1741 + 1741 - 44*f to the form t*f + v and give t.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 411545 and 11.7?\nAnswer: 411533.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k - 156 = 0. Let s = k - 18401\/118. Let y = -3727\/826 - s. Find the common denominator of y and 50\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from trtszrsstttzzrzszws.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**2 + 5*o**2 + 3*o**5 + (-15918 + 1868*o**4 + 15918)*(-3*o + o + 3*o).\nAnswer: 1871*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61.3 and 0.6.\nAnswer: -36.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000104941 to 6 decimal places.\nAnswer: 0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s**2 - 3*s + 2. Let c(u) = u**2 - 16*u + 19. Let h be c(14). Let i(t) = -15*t**2 + 7*t - 5. Calculate h*x(g) - 4*i(g).\nAnswer: -3*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f = -26*f - 6, -5*t = 2*f + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucubybcuuycccaybbub. What is prob of picking 1 a and 1 y?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moo when three letters picked without replacement from {o: 3, m: 17}?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**7\/35 + y**3 - 4*y**2. Differentiate z(o) wrt o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blddwwtdwdw. Give prob of sequence wbl.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 8*r**5\/45 + 8*r**4\/9 - 86*r**3\/27 + 29*r**2\/9 - 4*r\/3 - 19. Let q(j) = 0. What is j?\nAnswer: -6, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*0.01.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.181 + 272\nAnswer: 272.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 821 a factor of 329816225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*i**2*m**2 - 31*i**2*m + 2*i - 3*m**2 - 111 wrt i.\nAnswer: 88*i*m**2 - 62*i*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 4 (b) 3\/13 (c) 0.061\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 732665 and 2770.\nAnswer: 1465330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/16 - 258\/(-48). Let h = 19 - k. Sort 0, h, 1 in descending order.\nAnswer: h, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-161)\/690)*644\/69?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4284 + 4611. List the prime factors of n.\nAnswer: 3, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20517 is divided by 684.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 139*j**3 - 1. Let f be o(-1). Let q = 252 + f. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 6*k**2 - 14*k + 84. Let g be l(6). Solve s = -4*c + 4*s + 12, 3*c - 5*s - 9 = g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58187700 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 9*k**2 + 8*k - 8. Is 17 a factor of y(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -1, 1, -11.7, -1\/105 in descending order.\nAnswer: 1, 2\/19, -1\/105, -1, -11.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -203355301 (base 6) in base 12?\nAnswer: -1222b31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 56342?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b**3 + 34*b**3 - 17*b**3.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 10*b**2 + 173*b + 38. Let a be d(-19). Sort 38, a, 10 in descending order.\nAnswer: 38, 10, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 236*r**3 + 12730 with respect to r.\nAnswer: 708*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 6:51 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, f: 6, m: 7}. What is prob of sequence fe?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6564, 13167, 19770, 26373?\nAnswer: 32976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 5:21 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*c + 187*c - 97 - 27 = 5*u + 11, -2*u + 0*u - 54 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 122242383 to the power of 1\/2, to the nearest integer?\nAnswer: 11056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(150\/(-375)*(-5445)\/312 + -7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150)*-2 - sqrt(150))*-2)\/((sqrt(15)*2)\/sqrt(5)))\/(-2*sqrt(1440)*-5 + (sqrt(1440)*2 - sqrt(1440))*4).\nAnswer: sqrt(5)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5064936341 to the nearest integer?\nAnswer: 71168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-136)\/(-612)*63\/56.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(18)\/(sqrt(30)\/sqrt(5)))**2*3 + 2*(sqrt(363) + -1)**2 + 5 + -5.\nAnswer: -44*sqrt(3) + 710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4 - 1 + 2500717*m - 2474256*m to the form b + j*m and give j.\nAnswer: 26461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 5:02 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5262 + 5707. Which is the third biggest value? (a) u (b) 2\/5 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 8*x**2 + 8*x - 4. Let p be t(7). Suppose 3*g = 30 - p. Let b = 12 - g. Calculate the highest common factor of b and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*g + 5987 + 41475. What is the remainder when g is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4979688.\nAnswer: 2, 3, 7, 29641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5178072 to the nearest integer?\nAnswer: 2276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-12))\/((-19)\/(-38)). Which is the smallest value? (a) 1 (b) -5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzzy when four letters picked without replacement from yhyywyzcyzhy?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -405 bigger than -404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 2\/23 (c) -2\/17 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0.06, -9, -4, 0.091?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1047 - -1044. Let h = -1.8 + -0.2. What is the closest to a in h, 3, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**3 + 94*w**2 + 31*w + 32. Let i be f(-18). Calculate the highest common factor of 896 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/8 - 453*c\/4 = 0 for c.\nAnswer: -906, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 divided by -108?\nAnswer: -173\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 - 38*i + 722.\nAnswer: (i - 38)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u + 10. Let v(t) = 3*t + 10. What is -5*s(b) + 4*v(b)?\nAnswer: -3*b - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 679476 and 8148?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*m**2*v + 73*m**2 - m*v - 2*m - 125105*v wrt m.\nAnswer: -52*m*v + 146*m - v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105497 and 98?\nAnswer: 210994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/6)\/(-3*(-3)\/1728). Suppose -4*f + 65 = 17. Calculate the greatest common factor of t and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r**3 - 6*r**3 + 2*r + 38*r**3 to the form y*r + i + v*r**2 + o*r**3 and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l**2 + 5*l - 20. Let k(t) = 0 - 10 + 31209420*t - 31209418*t - 2*t**2. Calculate -7*k(m) + 3*u(m).\nAnswer: -m**2 + m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 219, 222, 225, 228, 231?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147.5 + 138. Let m = -4.5 - q. What is the nearest to m in -0.3, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m*m**9*m*m)\/m)\/(m\/(m\/((m\/(m*m**(2\/7)\/m*m))\/m*m))))\/(((m\/(m**(-2\/5)*m)*m)\/m)\/m**(2\/3)))**(-17\/4) assuming m is positive.\nAnswer: m**(-11203\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 170899*c + 1538015. Determine r(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3113079 to the nearest integer?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from iununnmnnuuynunmu?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 12*g + 5. Let z be l(11). Suppose -9 = 4*q - 3*r, 0*q - 2*r = q + z. What are the prime factors of 474\/18 - (-2)\/q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -3\/28*i**4 + 0*i**2 - 66 + 13\/7*i**3 + 0*i. Factor k(s).\nAnswer: -3*s**2*(s - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.36 + 0.06. Let d = h + 0.7. Suppose -k + 12 = 4*u, -19*k + 61 + 9 = -3*u. What is the nearest to 0 in k, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y = 29*y - 20. Solve 0 = -y*c + 8 + 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*g*i*r**2 + g*i + 2641982*g*r**2 - 3995*i*r**2 + 626*i - r**2 wrt g?\nAnswer: -6*i*r**2 + i + 2641982*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + q**2 + 0*q**2 - 286*q**2 + 229 - 229 + (-4*q + 2*q - q)*(-3*q + 3*q - q).\nAnswer: -281*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-2)*(0 + 2). Let q be (g\/3 - -2)*3. Is 22 a factor of (-3 - (q + -2))*-22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18520?\nAnswer: 2, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7\/5)\/n**14)**(1\/13) assuming n is positive.\nAnswer: n**(-77\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -433\/945 - -4\/135. Suppose 6 = r - 5*n + 16, 0 = -5*r + n - 2. Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 5*q**2 + 9*q - 14. Let b be n(6). Suppose -5*c + y = 100, 9 + 11 = b*y. Let s = 85 + c. Calculate the greatest common factor of s and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 6*y**2 + 3. Let i be b(-6). Let f be (3\/15)\/(i\/(-5)). Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010101101110011100010100 - 101?\nAnswer: 10010101101110011100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37180 is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 5\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 7. Let w(r) = r + 5. Let b be w(-5). Suppose -h + d - 7 = b, -h - 3*d - 15 = 2*h. Give t(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -7\/60951 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2158 - -4049. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 166996 = -9*p - 3*f, 3*p - 3*f - 125250 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k + 2. Calculate the least common multiple of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*476\/(-130305))\/((-4)\/30)\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26187.\nAnswer: 3, 7, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*w + 3*z + 31, -2*z = w. Suppose 3*p + w = -0*p + 5*m, m + 15 = 4*p. Calculate the remainder when 18 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 14*j**2 - 3*j + 50. Let g be w(13). What is the greatest common divisor of 765 and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2772519798 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 6, -25, -46 in descending order.\nAnswer: 6, -3, -5, -25, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**2 - 4*p - 4. Let b be ((-9)\/(-6) + 0)*2. Let x(j) = -5*j + 7 + b*j**2 + 6*j**2 + 4*j + 8*j. Determine 7*i(g) + 4*x(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165058 is divided by 1043?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.22 + 0.877. Round p to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + 98\/21 + 488\/6. List the prime factors of (s*6)\/((-9)\/(-12)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.026 * -2.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2071, -4204, -6335, -8458, -10567, -12656, -14719, -16750?\n\"Answer: c**3 - 5*c**2 - 2125*c + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60.826 + -61. Let u = y + 0.052. Let w = -0.175 - u. Round w to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k - 2*m + 307 = 0, 4*k + 5*m - 400 = 0. Suppose p = -r + 6*r + 42, -4*r - k = -5*p. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3001 or 1966?\nAnswer: 3001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-8))\/(3\/(-120)*5*2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/21)*c)\/(c**(-4\/7)\/c))\/(c**(-13)*c*(c\/(c*c**(4\/15)*c))\/c) assuming c is positive.\nAnswer: c**(254\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - 2.94. Let l = -123 - -122.9. Let k = -33\/10 - -7\/2. Put k, r, l in ascending order.\nAnswer: r, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -136 + 66 + 70 + 346*p in the form u*p + o and give u.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 2 - 1 - 40\/(-45)*(-459)\/102?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**7\/70 + q**6\/40 + 25*q**4\/12 - 3*q**2 - 74. What is the second derivative of p(b) wrt b?\nAnswer: 36*b**2 + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -147015549.5.\nAnswer: -147015549.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 2*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-12)*863)\/(4\/(-48672)). Let b = q + 3620492. Round b to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -222018*p*t**2 - 4*t**2 - 13*t - 1144 wrt p?\nAnswer: -222018*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*q, -4*q = -w - 3*w - 12. What is the third derivative of -3*k**5 + 11*k**2 + 0*k**5 + 15*k**2 + 0*k**5 - 4*k**q wrt k?\nAnswer: -480*k**3 - 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -5, 2\/19, 3\/4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/5 + 206523*c**2\/5 + 826128*c\/5 + 165228 = 0. What is c?\nAnswer: -2, 68845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**6\/60 - l**5\/10 + l**4\/12 + 13*l**3\/6 - 20*l**2. What is the tens digit of y(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 6)*(161 - 13*r - 161)*(-r + 2*r + 0*r).\nAnswer: 78*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 155807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -r - 2*g, -3*r = -0*r + 5*g - 6. Let u be ((-1)\/r)\/((-2)\/(-18)). What is the third derivative of 0*j**4 + 0*j**4 + 2*j**2 - u*j**6 wrt j?\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-2))\/1)\/((-8740)\/690*6\/8)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -1415362\nAnswer: -283072.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**4\/42 - 2126*h**3\/63 + 40280*h**2\/3 + 80864*h\/3 + 1837. Suppose f(n) = 0. What is n?\nAnswer: -1, 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28559011?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*m - 19800004, 7*c - 4*c = 2*m + 59399996. What is c rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -240473.810518668?\nAnswer: 240476.810518668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l. Suppose 3*s = 3*g - 615, -4*s = -l*s + g + 805. Let m = -140 - s. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1294 - -1294. What is the second biggest value in -1, u, -29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**2 - 255*z - 85. Let m(l) = 2*l**2 + l. Let p(r) = -5*m(r) - q(r). Factor p(g).\nAnswer: -5*(g - 17)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 3*z + 2. What is the smallest common multiple of d(-4) and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 63, 5, 0.1, 1.6, 0.5, -2\/9?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12982, 51891, 116722, 207475, 324150, 466747?\n\"Answer: 12961*m**2 + 26*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/3)\/(4\/6). Suppose 4*z = -z - 15, -z = -5*b + 73. Suppose 5*h - 5 - 11 = 3*w, 3*h - b = 4*w. Put h, -5, t in descending order.\nAnswer: t, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**2 - 52*w**2 + 12*w**2 + 24*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/9 - 80\/45?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 6:14 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 414897 and 703869?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 5. Let t be -4 + 1\/(-1 + x). Put t, 4, 1 in decreasing order.\nAnswer: 4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d3d1 (base 14) in base 15?\nAnswer: -172a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-4))\/(-84)*(-48)\/8.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 828281473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 84, 151, 258, 423, 664?\n\"Answer: 3*u**3 + 2*u**2 + 40*u + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*c - 977*h + 973*h, 4*c - 16 = h. Solve 2*u + r = 7 - c, u + 14 = 5*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - s = -8*h + 1, 2*h - 3*s = -11. Solve h*i = -6, 0 = -2*x + 5*i + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138983 less than 0.4?\nAnswer: -138982.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 17 - 18 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(561)\/sqrt(275) + sqrt(153)\/sqrt(3)*3)\/(sqrt(192)\/sqrt(4)*-4).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 16*o**3 - 10. Let q(i) = -16*i**3 + 11. Let g(l) = 4*d(l) + 3*q(l). Let j(v) = -5*v**3 + 2. What is -2*g(z) - 7*j(z)?\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 + 49 = 4*y. Let z(k) = -20*k**3 - 24*k**2 + 13*k + 3. Let h be z(-3). Calculate the greatest common divisor of h and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(76)\/sqrt(36))**2.\nAnswer: 2*sqrt(19) + 100\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/9 - 12)*2\/28*-16?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -26. What is the third biggest value in 1.1, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5698.\nAnswer: 2, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24291 + 16062 = -5759*u - 952*u - 40179 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + (-624)\/60)\/((-4)\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((c**9\/c)\/c*c)\/c)\/c)\/c*c*c\/(c\/((c*c*c**24\/c*c)\/c)*c)*c)\/(c*(c*c\/((c**(-1\/2)*c)\/c)*c)\/c*c*c**(1\/2)))**(-2\/59) assuming c is positive.\nAnswer: c**(-52\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37\/5 of a millennium?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3164\/99 greater than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -281, 13, 0.1, 5 in descending order.\nAnswer: 13, 5, 2\/5, 0.1, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -10*l**3 - 14*l + 4. Let j = 2877 - 2876. Let r(f) = -f**3 - f. Determine j*z(o) - 12*r(o).\nAnswer: 2*o**3 - 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15410941817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 450072\/2736*(-4)\/14.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1614 + 2359 = 37*h + 124*h - 6822 for h.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-14))\/((-4)\/(-16)*-6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.1 (b) -203.9 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**5\/30 + 2*i**4\/9 + 5*i**3\/9 + 2*i**2\/3 + 62*i - 5. Let x(y) be the first derivative of h(y). Find t such that x(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**4 - 3*a**2 - 5*a. Let d(q) = 12*q**4 + 7*q**2 + 10*q. Let p(l) = -3*d(l) - 7*t(l). Find the second derivative of p(f) wrt f.\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25 and -460.7.\nAnswer: -485.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*i**3 + 51?\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, d: 2, g: 2, b: 2, h: 2, c: 3}. What is prob of picking 2 g, 1 b, and 1 c?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from hhfhfhfh.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.9999963 + 14. Round x to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20363659*-0.05\nAnswer: 1018182.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from dicddln?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 159092\/7 at most as big as 22727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -74*y - 188. Let u be b(-4). Suppose 0 = 17*g - 13*g - u. Is g a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naaac. What is prob of sequence ac?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o**2 + 3*o - 8. Let y be h(6). Let n = 211 - y. Calculate the lowest common multiple of 6 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -12*c - 47. Let h be w(8). Let f = h + 43. Are f and -100 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 + 2*d. Suppose 0 = 4*h + r - 4, h - 4*r = 4*h - 16. Suppose 19 = 4*s - 5*c - 4, h = 2*c + 6. Calculate y(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, v: 1, b: 1, f: 1, s: 1, u: 2}. What is prob of sequence nnf?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 435702*q - 435703.\nAnswer: (q - 1)*(q + 435703)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**5\/4 + 19*u**4\/12 + 55*u**3\/2 - 11*u**2\/2 + 861*u. What is the second derivative of p(w) wrt w?\nAnswer: -30*w + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - s + 12. Let k be a(-4). Solve 30 = 6*f - k*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1480, 3, 2, -5, -2, -4 in ascending order.\nAnswer: -1480, -5, -4, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9950414 bigger than 9950414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*w + 2826, 3769 = w + 3*w + 5*b. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 25. Calculate the smallest common multiple of 3 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1728, -1582, -1272, -762, -16, 1002, 2328, 3998?\nAnswer: 6048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/39 in -36561, 2\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4624657039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 868.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7843233 and 38876?\nAnswer: 31372932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 + 20*h + 6. Let a(d) = d**2 - 19*d - 5. Let x(i) = -6*a(i) - 5*o(i). Calculate the least common multiple of x(-4) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3938364?\nAnswer: 2, 3, 31, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-two ninths of a day?\nAnswer: 3520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(170)\/(sqrt(20)\/sqrt(2)) + sqrt(17)*2 + -2 - (0 + sqrt(1088)*1)**2).\nAnswer: -1092 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/15*(-30)\/(-12). What is the third derivative of 48 - 24 + 33*m**n + 22*m**2 - 22 wrt m?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017 minus 4405045.02602?\nAnswer: -4404028.02602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320397 is divided by 1370.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10300 - 3?\nAnswer: -10303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35694348 or -356943489\/10?\nAnswer: -35694348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178 - 119. Suppose 2*h - 870 = -3*h. What is the remainder when h is divided by f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 * 1\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 13) to base 14.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2998 divided by 13.\nAnswer: 2998\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {h: 2, w: 2, i: 8}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 41*x + 136. Determine q(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*r - 191*r = -156. Calculate the lowest common multiple of r and 78.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 889, 882, 875, 868, 861?\n\"Answer: -7*h + 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*sqrt(288)*5)\/((sqrt(60)\/(sqrt(15)\/sqrt(3)) - sqrt(12) - sqrt(12))\/((sqrt(14) - -2*sqrt(14))\/sqrt(7) + sqrt(2))).\nAnswer: -1600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 7775 (c) 0.03 (d) 2\/7 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6243 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161073?\nAnswer: 3, 11, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3838910 to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 96\/44 + 6\/(-33). Suppose 3*o = 2*z - 11, -2*o + 0*o = -r*z + 10. Let b(x) = 2*x**2 - 4*x - 7. Let k(m) = m + 1. Calculate z*k(v) + b(v).\nAnswer: 2*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + r**2 - 10*r + r**2 - 5*r**2 to the form b*r**2 + o + g*r and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 15*b - 3. Let n be v(-11). Suppose -2*u = 4*t - 34, 5*t - n = -u - u. Let a(z) = z**3 - 7*z**2 + z - 2. What is a(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1242 divided by -6\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31963736989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-35)\/(-14)*16\/10. Let w be 6345\/p - 2\/(-8). Find the common denominator of 6357\/w - 4\/(-1) and -7\/6.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and -0.2.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201331231313 - 10?\nAnswer: 201331231303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 13*b**2 - 70*b - 49. Suppose -48*x + 17 = -69 - 202. Calculate h(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/(3780\/2625)*(32 + -5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 u when three letters picked without replacement from {u: 3, q: 2, k: 2, r: 1, n: 3, y: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -18. Suppose 0 = t*b - 18 - 0. What is the first derivative of 2*y - b*y + 7 + 0*y wrt y?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 1563311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y + 89. Let i(w) = -4*w - 133. Calculate 5*i(v) + 7*j(v).\nAnswer: v - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 28 = -6*a + 20. Solve 19*s - a = -101 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from {y: 7, n: 1, c: 5, o: 1}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and 537668407115?\nAnswer: 537668407109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -136 (c) 4\/9 (d) 12 (e) -54 (f) -1 (g) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - k - 4*k = 4, 5*i + 4*k - 19 = 0. What is the second derivative of 4*d + 3*d + i*d + 4*d**5 wrt d?\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*b*g**2*t + 26*b*g**2*x - b*t*x + b*t + 2*g**2*x - 17*g**2 wrt x?\nAnswer: 26*b*g**2 - b*t + 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -190409951, -190409957, -190409963, -190409969, -190409975, -190409981?\n\"Answer: -6*p - 190409945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02120165 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 72*0.099\nAnswer: 7.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n = 20 + 2. Let l be n\/(-6*(-6)\/108). Put l, -5, 2, 4 in ascending order.\nAnswer: -5, l, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 16. Suppose 2*o - 3*o - v + 13 = 0, c*o = 3*v + 26. Suppose -1899 = -16*b + o*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/72 and -111\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(84) + sqrt(84)*-1)*6*6)\/(sqrt(144)\/(sqrt(84)\/(sqrt(7)*-2)))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:29 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -11177781 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**5\/90 + d**3\/9 + 2*d**2\/9 + 3*d - 5. Let n(u) be the first derivative of i(u). Factor n(q).\nAnswer: -2*(q - 2)*(q + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1212464.4 and -1.\nAnswer: -1212464.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c = -10. Let z = -5 + 7. Find the second derivative of c*s + s**z - s - s wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 5 (b) 3 (c) 0.1 (d) 8612 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -6, 1\/3, 69643\/6, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1572473 * -1.9\nAnswer: 2987698.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 2:15 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.85202 and 0.042?\nAnswer: 1.81002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/8))**(-4\/21)*c**20\/c*c*c*c**(-28)*c)**(5\/3) assuming c is positive.\nAnswer: c**(-1265\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t + 1 - 103. Let x be t\/(-102) - 16079999\/6. What is x rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464*x**3 - 439*x**3 + 47*x**3 - 24*x**3.\nAnswer: -880*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -225, -227, -229, -231?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -19*h - 638. Let t be w(-33). Which is the nearest to -1? (a) t (b) -5 (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -23)*24\/(-28). Let i be (-2 + (-25)\/(-15))*c\/4. Factor 3\/4*b**3 - 3\/4*b - i*b**2 + 3\/2.\nAnswer: 3*(b - 2)*(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 42. Let c = -17 + q. Let i = c - -9. Solve 2*h - 5 = -5*r, i*h + 3*r = -r + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0 + 2. Let j = -6 - -15. Let h be (a\/4)\/(3\/j). Is h < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 648 = -4*f - 596, -4*f - 116 = 8*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-23)\/(-35) + 0\/(-2). Let d be (-1)\/(-4*(-5)\/40). Sort -0.4, c, d in descending order.\nAnswer: c, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/56346 and -69\/8.\nAnswer: 225384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 281120.9 rounded to the nearest 10000?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*f + 215*f = 263355. Calculate the greatest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1372\/13 + -467878\/4433. Let y = 313\/4774 - s. Calculate the common denominator of y and -47\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82 + (-9 - (-5 + -20) - 2 - (15 + -14))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-5)*(-16)\/4*35\/56.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-one halves of a milligram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -16*j - 179. Let v be w(-11). Sort 5, v, 0 in ascending order.\nAnswer: v, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 10*u**2 - 7*u + 1. Let c(b) = 3*b**3 + 30*b**2 - 27*b + 2. Let i(h) = -2*c(h) + 7*k(h). Give i(-10).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -146 + 76 - 245 + 3*x + (-2*x + 3*x - 2*x)*(4 + 1 - 4) - x + 0 + 0 + 4 - x - 4 - 1 - x + 1 - 2*x + 6*x - 2*x as y + v*x and give y.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10162174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 40999732148924.\nAnswer: 40999732148923.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52961981 and 6?\nAnswer: 317771886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -228866 take away 0.3?\nAnswer: -228866.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5 + (0 + sqrt(252) - sqrt(252) - sqrt(252)) - (-5 + sqrt(252) + -1) - (0 + 6*(sqrt(252) - (-2*sqrt(252) + 4) - sqrt(252)))))**2.\nAnswer: -6384*sqrt(7) + 50836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 rounded to the nearest ten?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10112011 (base 3) to base 8.\nAnswer: -5011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from uccaaarza?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210035 and 595.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 1 - 1 - o. Let s be a(2). Suppose s*u = -u + 39. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s - 21*s = 882. Let x be 4\/(-14) + (-9)\/(s\/(-74)). Solve -3*m + x*z = 19, 2*z - 1 = 3*m + 6*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 less than 41902.1?\nAnswer: 41630.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (8700\/(-1305))\/(13\/9 - 1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 321, 648, 975, 1302, 1629?\n\"Answer: 327*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**2 - 4*s**2 - 3*s**2 + (-2*s + 12*s - 5*s)*(6*s - 2*s - 2*s).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 - 6342877808.707?\nAnswer: -6342877809.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (295 - 412) + 46 + -6?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113072.5 + -31521147.\nAnswer: -31408074.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 1768?\nAnswer: 15912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.9 - -1.1. Let q = f - 11. Let r = q - -3.99939. Round r to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -47808 and -5?\nAnswer: 47803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.599 + -0.747. What is q rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.187002 rounded to 1 decimal place?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 61274598 divided by 2?\nAnswer: 30637299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -70. Let x(s) = -s**2 + 19*s + 25. Let v be x(c). Suppose 4*r = -v*m + 25, 3*m - 14 = -3*r + 4. Solve w - r = -4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 11:28 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -23*a**3 - a**2. Let h be x(-1). Suppose -3*n + 40 = y, -2*y + h = 3*n - 13. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578258 is divided by 130.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**3 + 3*z**2 - 10*z - 18. Let i(o) = -4*o**3 + 2*o**2 - 9*o - 15. Let c(r) = -5*g(r) + 6*i(r). Solve c(k) = 0 for k.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(143) - sqrt(143)))\/(sqrt(11) + sqrt(110)\/(sqrt(20)\/sqrt(2))) - (-3 + (sqrt(13) - (sqrt(832)*-2 - sqrt(832)) - -1*sqrt(117)))**2.\nAnswer: -10201 + 335*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*l**3 + 37*l**3 + 2*l**3 + (0*l**2 + 4*l**2 - 2*l**2)*(l + 2*l - l) + 0*l**3 + 4*l**3 - 3*l**3 + l**2 - l**2 - l**3 - 4*l**3 + 4*l**3 + 14*l**3.\nAnswer: 44*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/88 + 148\/16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9344 and 9198?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -165755*h + 3120628 wrt h.\nAnswer: -165755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 442455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -5. Suppose 3*n = a*n - 20. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (7 + -7) - ((5 - 8) + 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -100*g**3 + 6*g**2 + 2*g - 2. Let r(x) = 101*x**3 - 9*x**2 - 2*x + 3. Give -3*m(h) - 2*r(h).\nAnswer: 98*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003862519 to 6 decimal places.\nAnswer: 0.000386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*q - n, 43 = 3*q + 2*n - 3*n. Let l(d) = -19*d + 195. Let r(k) = -k. Let m(x) = l(x) - 2*r(x). Let o be m(11). Solve o*z = q*z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6*w + 3)*(-4*w**2 + 1 - 1).\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 4*n**2 + 2*n - 4. Let o be s(4). Solve -6 + 2 = -o*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 2*c**2 - 4*c + 3. Let w be q(3). Sort 4, -5, w in increasing order.\nAnswer: -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 94*l + 1. Let o(u) = -u**3 + 9*u**2 + 11*u - 7. Let q be o(10). Let v be w(q). Suppose 5*p = 522 + v. What is the highest common factor of 23 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187955 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 31 - 4. Solve 16 = 3*b - v*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/9*1*6*1. Let x(d) = -d - 1. Let p(w) = 5*w + 3. What is n*x(f) - p(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffmi when four letters picked without replacement from {f: 4, m: 2, i: 1, c: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 3:09 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -18) + -1 - (-84 + -84 + 171).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -297*y**3 - 55*y**2 - 55*y - 55. Let r(c) = -11*c**3 - 2*c**2 - 2*c - 2. Determine -2*f(b) + 55*r(b).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d + 8. Let g be 2\/(-4) - 18\/4. Suppose -n = -4*q + 25, 4*q - 3*n - 21 = q. Let f(h) = -6*h + 7. Give g*w(i) + q*f(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2507092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4819030382?\nAnswer: 2, 19, 43, 2949223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -5*q - 30, -3*n + q - 10647 = -10649 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-379 + 2825 - 1325 + 2578)*((4*d**4 + d**4 - 4*d**4)*(3*d + 0*d - 5*d) + (-2 + 2 + d**3)*(3*d**2 + 0*d**2 + 0*d**2)).\nAnswer: 3699*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 - -110. Let q = -0.0622 + 20.1022. Let w = t + q. What is w rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 14, k: 4}. What is prob of picking 2 l?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -54146, -108292, -162438?\n\"Answer: -54146*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-15) - 1184\/12)*44800. Round s to the nearest one hundred thousand.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4248*v + 68150. What is q(-16)?\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571 + 35*s + 915 - 36*s - 344.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/320 and 67\/384.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 + -10)\/192 + 2508\/(-320) and -17\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52931212*d**2 - 26465513*d**2 - 26465582*d**2.\nAnswer: 117*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2 + 2316*b\/5 + 924\/5 = 0. What is b?\nAnswer: -154, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from {j: 1, m: 1, t: 1, e: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 928 (base 13) to base 2.\nAnswer: 11000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4068*g - 9246. What is the ten thousands digit of c(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -214 + 10?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/21 - 922*c**2\/21 + 1742704*c\/21.\nAnswer: -2*c*(c - 731)*(c + 1192)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/3 - 3637*h**2 - 9922645*h - 29757025\/3 = 0 for h.\nAnswer: -5455, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-22 + 13 - -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2963 - -1454. Let c = f + 1034. Round c to the nearest ten.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*t - 10. Suppose 4*o + 29 = 5*i, -4*o - o - 32 = -2*i. Let v = -11 - o. Put t, -2, v in increasing order.\nAnswer: v, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-18)\/(-24))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31195 + -31188. What is the highest common divisor of a and 176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 5 - 2 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-22 - (-21 + 29 - 19))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - -0.1. Let s be 1*(-15)\/(-450)*-6. Let k = -27 - -26.5. Which is the third biggest value? (a) 3\/4 (b) q (c) s (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (-6 - -3))\/(7\/308). Let o be (d\/32 - 7) + 0. Factor -1\/2*w + w**3 - o*w**2 + 0 + 3\/4*w**4.\nAnswer: w*(w - 1)*(w + 2)*(3*w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*c**2 + 65*c**2 + 6*c**2)*(3*c - 2*c - 2*c) as h + w*c**3 + j*c**2 + x*c and give w.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 7:32 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0, 5110.1, 97, -1\/5 in descending order.\nAnswer: 5110.1, 97, 1\/4, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12203202 + 311201?\nAnswer: -11232001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 11*h + 8*h - 19*h + 31*h - 317. Let l be o(10). Let d be 1 + (-2)\/(-3)*39. Calculate the highest common divisor of d and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84.231 + 92.231. Let k = -1 + 0.96. Which is the nearest to h? (a) 1\/6 (b) k (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13590*w*y - 196181*y wrt w?\nAnswer: 13590*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 8*v - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-12960)*10*(-4)\/((-2)\/(-1))*-6\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7641 is divided by 1525?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 23. Let b = 0.04 + -0.14. Let n be 1 - ((-6)\/(-4))\/3. What is the second biggest value in t, b, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 996*q**3 + 188 - 2*q - 382 + 205 wrt q?\nAnswer: 5976*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 9) to base 11.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 1\/7, -508, 3\/100 in descending order.\nAnswer: 1\/7, 0.06, 3\/100, -508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) -0.1 (c) 0 (d) -10608.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -275, -410, -545?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4583229 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 1, u: 1, c: 2, m: 2}. What is prob of picking 1 m and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/8? (a) -1 (b) -4 (c) 3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2244 by -3.\nAnswer: -748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 0.1. Let x = -2 + 3. Let z be (-66)\/(-15) - (-3)\/5. What is the nearest to x in q, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t, 6 = 3*b - t + 1. Suppose -4*a = 2*i - 28 - 6, 4*a = -b*i + 51. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -297, -574, -927, -1356, -1861, -2442?\nAnswer: -3099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q**3 + 3 + 8*q - 2*q**3 + 3 + 0*q**3 - 4*q**2 - 2*q**4 = 0 for q.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36685 + -5?\nAnswer: 36680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 69431 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 845*t + 20. Let h be u(2). Calculate the common denominator of 34\/117 and (-2 - (-14)\/9)*h\/(-480).\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 3\/20*v**4 + 3\/2*v**2 + 4 - 6\/5*v - 4\/5*v**3. Factor w(s).\nAnswer: 3*(s - 2)*(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46263 - 32329. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - 14*y - 19. Let q be o(8). Does 44 divide q*42\/(-9)*396\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 122 = 2*k + 103, -2*s - 5*k = -19 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w - 37. Give c(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 17*o**2 - 32*o + 33. Let h be t(14). Suppose v - h = 267. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (5 - 5) + (-9)\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3\/2 + 95*w**2\/2 + 646*w + 1106 = 0.\nAnswer: -79, -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17974 - 89867\/5. Which is the smallest value? (a) -1\/2 (b) -3 (c) 5\/99 (d) -1\/5 (e) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1 + (-1 + 3 - 4)*(-12 - 30 + 73) + 0 + 3 + 2)*(-2*h + 0*h + 4*h).\nAnswer: -112*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + 3*(((sqrt(720) + -1)**2 + -2 - sqrt(720)) + 5)) + -4.\nAnswer: -216*sqrt(5) + 4332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-32)\/(-12))\/(-2)*3. Sort a, -3, -1 in descending order.\nAnswer: -1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyyyggyyyyyy. What is prob of picking 3 y?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgkgkwrrkr. What is prob of sequence ggw?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 4*c + 2. Let m be r(-4). Suppose -2*b - 112 = 4*k, -b + 4*k - 1 = 31. Calculate the common denominator of -81\/16 and m\/b*((-175)\/15)\/5.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - b + 2*b + (b - 3*b - 2*b)*(-76 - 97 + 151)*(1 - 2 + 0).\nAnswer: -86*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114504 by 4404.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*l + 35, 21 = -47*u + 50*u + 5*l. Solve -2*s - 20 = -4*a, 7*s + a - u = 8*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from {u: 1, b: 1, s: 4, r: 7}.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/(-225)*5 - (-994)\/5?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1794792)\/(-26) - ((-5060)\/(-260) + -19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**5\/60 + 2*l**4\/3 - 8*l**3 - 75*l**2. Factor i(r).\nAnswer: -(r - 12)*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d + 5. Let j be k(3). Is j smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, -6, -21, -52, -105, -186, -301, -456?\n\"Answer: -h**3 + h**2 - h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4 = 5*t - 1, 5*t = -3*r + 5. Solve 2*s + r*s + 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(4*i - 82*i + 681 + 16*i + 34*i).\nAnswer: -28*i + 681","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/1 - ((0 - 5) + -2673). Let y be 10675\/o - (-1 - -1 - -4). Is -1 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3088 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62682680 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4)*(-1072)\/2814\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 228200 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13196303 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 m(j) = j**3 + 12*j**2 + j + 17. Let n be m(-12). Suppose 2*h + 1 = n. Let c(f) = -2 + f**h + f + 1 + 3*f. What is c(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 230 - 146. Calculate the greatest common divisor of 28 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132111 - 32?\nAnswer: 132013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140421513?\nAnswer: 3, 17, 2753363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208750 - 104546 = -17*f + 199288. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*g - 65 = -105*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -65? (a) -2 (b) 125 (c) -1\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 0, -4 in decreasing order.\nAnswer: 4, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1490.86926ns to days.\nAnswer: 0.00000000001725543125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1062 and 286349.\nAnswer: 304102638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3345*r - 3 + 2684*r - 7866*r + 3 + 2908*r)*(5*r**2 - 5*r**2 + r**2).\nAnswer: 1071*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -5*o**3\/6 - o + 1. Let x(k) be the first derivative of s(k). Let w(a) = -a**2 - 3*a**2 - a**2 + 4*a**2. Calculate w(x(y)).\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67694*p + 135390*p - 2*p**2 - 67696*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (286 - 319) + 44 + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -131 + 142. Solve b = a + 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*w**3 - 2*w**3 + 41 - 7 + 2*w + 0 + 2*w**2 - 36 to the form d*w**3 + y*w**2 + o*w + j and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/6*(-3)\/(-11).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20\/1307 - -25960\/11763. Let a(p) be the first derivative of 0*p + 2\/3*p**2 + 7\/15*p**5 + 23\/12*p**4 - 22 + n*p**3. Factor a(o).\nAnswer: o*(o + 1)*(o + 2)*(7*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1106.11 + 1129. Let r = 23 - l. Let p = r - 0.10999974. Round p to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311768673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98576\/635805 + 1\/8955. What is the common denominator of q and -45\/122?\nAnswer: 8662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - -3.99. Let t = -11.9 - -12. Do t and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 8:57 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 27951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*o**3 - 2\/3*o + 0 - 14\/3*o**2 - 8\/3*o**5 - 26\/3*o**4 = 0. What is o?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1672133028, -1672133029, -1672133030, -1672133031, -1672133032, -1672133033?\nAnswer: -1672133034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00181699 to 5 dps.\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (0 + 5)*3780\/900\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 61*v**3 + 8 - 2 - 8*v**3 - 3 to g + m*v**3 + x*v**2 + b*v and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**2*l**2 - 11*c**2*l - 13*c*l**3 + c*l wrt l?\nAnswer: 6*c**2 - 78*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -22, 137, -1 in decreasing order.\nAnswer: 137, -1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -646863, -646819, -646775, -646731?\nAnswer: -646687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-6) + -4)\/(9 + 882\/(-24))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 2)*(1 + 0 - 2*r - 7)*(-16*r + 16*r + 5*r**2) to the form k*r**3 + o*r**2 + s + t*r and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 60 + 5*m - 57*m - 638*m**2 + 319*m**2 + 317*m**2. Give h(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) 0 (b) 2\/11 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5010.1 - -5010. Let s = 14.18 + -0.18. Which is the second biggest value? (a) s (b) -0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4338.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 c, and 1 n when three letters picked without replacement from {i: 2, c: 2, k: 1, n: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -33450 (base 6) in base 5?\nAnswer: -122320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.397 + -0.05?\nAnswer: 9.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21964248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -122820.28+-1331.7\nAnswer: -124151.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1063*n**3*s**3 - 622*n**3 - n**2*s**4 + n**2*s**2 - 2*n wrt s?\nAnswer: -6378*n**3 - 24*n**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 757076863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 146 - -3?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 divided by 153?\nAnswer: 79\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*n**2 - 30*n**2 + 6*n**2 + 3*n**2.\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/6 and (-5)\/(-30)*-4*237\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttptpctt. Give prob of sequence pcp.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.36, 2, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25.8 + -25.4. What is the second smallest value in s, -1\/4, 13, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6 - 3*k + 4*k**2 - 4*k + 6*k - k**3. Let c be l(5). List the prime factors of ((-8)\/(-6))\/((-8)\/c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270964 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: Collect the terms in -v + 6*v - 3*v - v - 7*v**2 - 119.\nAnswer: -7*v**2 + v - 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 4*m**2 + 9*m - 30. Give d(-6).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -66*z + 1932. Determine g(35).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -8. Sort -0.08, m, -5 in ascending order.\nAnswer: -5, -0.08, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose 4*y + j*y - 198 = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3702, -7258, -10814?\n\"Answer: -3556*x - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-137 + 0)\/(1\/29). Let q = 55585\/14 + j. Calculate the common denominator of q and (-2)\/(-3) - (-262)\/(-132).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 12:26 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-12)*y)**(-5\/9)*(y\/(y*y**10))\/(y\/y**24) assuming y is positive.\nAnswer: y**(172\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*n - 14, 5*y - 3*n + 19 = -0*n. Suppose i = -4*t - 42, 12*t + 2*i - 48 = 16*t. Which is bigger: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33219900 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 39*s**2 + 831*s + 2016. Give j(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 10*i - 6. Let f be a(-8). Solve -4*t - 8 = 5*o, -2*t + o = -0 - f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 255806.2 kilometers?\nAnswer: 255806200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -680.2 + 680. Which is the biggest value? (a) 0.02 (b) -4\/13 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195)\/(-26)*(-4)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-7)\/21*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 0. Let o = 19 + -19. Which is the nearest to o? (a) s (b) 2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44074.\nAnswer: 2, 22037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8529819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f. Let o be i(-1). What is the nearest to 0.2 in 5, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, -15.975, 0.04, -3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*r = 9 + 3, 3*p + 2*r + 11 = 0. Sort -3, p, 4.\nAnswer: -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**7*(j**0)**(-6\/13)*((j*j\/(j\/(j\/(j*j*j*j\/((j*(j**(-6\/7)*j)\/j)\/j*j)*j))*j))\/j*j*j*j**1*j)\/(j*j\/j**(1\/3))**18 assuming j is positive.\nAnswer: j**(-167\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.244 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**15\/g*g\/(g\/(g\/g**(-3\/22))))\/(g\/(g\/g**(-1\/6)))**(-1\/51) assuming g is positive.\nAnswer: g**(25469\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 677531?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47208 and 1266.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 61*o**5\/20 + 27*o**2\/2 + 3*o + 20. What is the first derivative of k(j) wrt j?\nAnswer: 183*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1388364.\nAnswer: 1\/1388364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 0.34 (b) -5 (c) -3 (d) -427 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 10*c**2 - 11*c - 9. Let f be (69\/92)\/((-1)\/(-52)). Suppose f = -3*x + 2*b, -4*x - 29 = 8*b - 3*b. Calculate q(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -797.98496 rounded to one dp?\nAnswer: -798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25\/6*p**2 - 865\/3*p - 29929\/6.\nAnswer: -(5*p + 173)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0, 108, 1679\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 42*t**2 - 5798*t + 252. Determine g(138).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146718 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8381762293 - -0.09.\nAnswer: -8381762292.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 48 = 2*w, w - 3*z + 25 - 1 = 0. Is -22 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05778 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -f + 3. Suppose 2*g - 3*a - 25 = 0, 4*a - 12 + 0 = -3*g. Suppose -3*h + 3 - 13 = m, -g = 2*m. Put h, 0, 3, f in ascending order.\nAnswer: h, 0, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37975692?\nAnswer: 2, 3, 367, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -17520 to the nearest one hundred.\nAnswer: -17500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 19*z**2 - 79*z - 43*z + 131*z to the form r + b*z + o*z**2 and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (129\/602)\/((-6)\/7). Which is the closest to -1? (a) n (b) -184 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13307 - 13312. Let d(k) be the second derivative of k**3\/6 + 7*k**2\/2 - 2*k. Determine d(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in months?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(833) + -2 - (sqrt(833) + -1*sqrt(833))*-1 - (sqrt(119)\/(1*sqrt(7)) - -1*sqrt(833))**2.\nAnswer: -1087 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 2900.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 1)*5.\nAnswer: 5 + 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/66683264 and -95\/176?\nAnswer: 733515904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*j**3 + 237*j**2 - 474*j - 63.\nAnswer: -3*(j - 7)*(j - 3)*(8*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 94 - 35?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 46\/4 + -5)\/((-5)\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3220 = -2*x - a, 2*x - 3220 = -2*a. Is (x\/(-25) + 8)\/((-2)\/5) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**5\/5 + 11*w**4\/5 + w**3 - 2*w**2\/5 = 0.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47402251, -47402249, -47402247, -47402245?\nAnswer: -47402243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -4491?\nAnswer: 448a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4804823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - 2*u - u)*(2 - 2 - u)*(-4 - 8 + 5 + (3 - 2 + 1)*(1 + 2 - 2)) as n + j*u**2 + o*u and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-12)*3 - (1 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-372)\/12090)\/((1210\/1375)\/(2\/(-5))).\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10925 + 3?\nAnswer: 10928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 53 - 5\/((-15)\/(-2))*3. Let u = c + -46. Let h(x) = x**3 - 5*x**2 + x - 4. Calculate h(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 + -2. Let o = p + -45. Solve 5*f - o = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**7\/p)\/p*p*p**(-1\/6)*p)**(-6)\/((((p\/p**(-2\/7))\/p)\/p)**(-43))**7 assuming p is positive.\nAnswer: p**(-256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l*u**3 + 1016950*l - 18968*u**2 wrt u?\nAnswer: 6*l*u**2 - 37936*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -456, -743?\nAnswer: -1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/27 and 64\/159?\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 i, and 2 u when four letters picked without replacement from iupppppppppppupui?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23672704 (base 8) to base 4.\nAnswer: 103313113010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73234\/57 + 3867\/19. Let i = -1512 + d. Calculate the common denominator of i and ((-93)\/10)\/(2\/5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4835628 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 18*i + 75. Suppose -z + 13 = 11, 0 = -2*c - 4*z + 42. Does 56 divide r(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42223 divided by 18.\nAnswer: 42223\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y. Suppose 0 = 4*l - l - 15. Suppose 4 = 4*t, -l*v + 13 = -v + 5*t. Let f(n) = 40*n - 40*n + 9*n**v. Determine w(f(x)).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -12*m - 9. Is n(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0762 + 0.0462. What is the nearest to 0 in 0.5, 21, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 45, 10, -75, -216, -419, -690, -1035, -1460?\n\"Answer: -c**3 - 19*c**2 + 29*c + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*y = 600, -2*z - 982 = 3*z - 4*y. Let u = z + 405\/2. Calculate the common denominator of u and 1\/40*(-996)\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/d**(-2\/37)))\/d)\/d*d\/(d*d\/(d*d**(8\/15))) assuming d is positive.\nAnswer: d**(-1399\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4513 - -3?\nAnswer: -4510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 898303168 to the nearest integer?\nAnswer: 29972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 3aa?\nAnswer: 3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 4187.\nAnswer: 20935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m + 17. Suppose 4*s - 4 = 4*v, -4*s + 2*v - 6 = -18. Let b(d) = -2*d + 17. Let i(r) = s*b(r) - 4*n(r). Calculate i(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91 and 143?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4088*q + 2937*q + 3071*q.\nAnswer: 10096*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11324 and 596.\nAnswer: 11324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 360122592 divided by -48?\nAnswer: -7502554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(204) + -1*sqrt(204) + sqrt(204))*1)\/(-6*sqrt(48) + 5*sqrt(24)\/sqrt(2)).\nAnswer: 6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 4*l + 4. Let k be c(-4). Suppose -k*t - 144 = -2*n - 6*t, -4*n = t - 279. Calculate the greatest common divisor of n and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10 = -1. Let d(k) = -k - 1. Let x be d(-1). Suppose 4*g - s - 3 = x. Solve 0*p - 5*p - 40 = g*u, -5*u + 3*p - 10 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*q - 11621 = -2029 + 6824 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -12 + 0*t - 5\/2*t**2 + 5*t**3 + 5\/4*t**4 - 3*t**5. Let b(p) = 0. What is p?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7413, 14789, 22135, 29451?\n\"Answer: -15*f**2 + 7421*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17743, 17664, 17585, 17506, 17427, 17348?\nAnswer: 17269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*b + 40 = 6*q, 4 = -b. Suppose 3*x = -5*n + 55, -q*n + 10 = 2*x - 25. Calculate the lowest common multiple of 22 and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 5. Let h be i\/4*(-2)\/(-3). What is the nearest to h in 5\/3, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 2\/88377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -154624625\/192 + 805334. Let i = -8\/3 - d. What is the common denominator of i and 101\/10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 12*w**2 + 22*w - 21. Let r be y(10). Let x be -13*(-4)\/r*(-5)\/4. Let b be (-152)\/(-6) + 2\/3. What is the highest common divisor of x and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120.2721*-0.28\nAnswer: 33.676188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 14*y**2 - 5*y. Let u(z) = 238*z**2 - 84*z. Let s(h) = h**2 - 4*h - 137. Let i be s(-13). Determine i*q(b) - 5*u(b).\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 42*a + 159. Give l(24).\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*j + 72*j = -121. Suppose 8 = j*b - 47. Solve -b*f + 5 = -0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5239709179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10ca68 (base 16) in base 3?\nAnswer: 2001220110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 15) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t**3 + 14*t - 3 - 2*t - 7*t + 8*t + 4*t.\nAnswer: -19*t**3 + 17*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -14*d**3 + 8*d**2 - 8*d - 8. Let j(v) = -v**2 + v + 13. Let c be j(4). Let q(w) = -w**3 + w**2 - w - 1. Give c*b(z) - 8*q(z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.02 (b) 410 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -386, -402, -452, -554, -726, -986, -1352, -1842?\n\"Answer: -3*a**3 + a**2 + 2*a - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1234\/11 or -113?\nAnswer: -1234\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74008 is divided by 39?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 52, 17, -24, -71?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k - 570. Let t(y) = -y**2. What is t(v(b))?\nAnswer: -16*b**2 - 4560*b - 324900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -81.08. Which is the biggest value? (a) 4 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5514639 bigger than -12.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/6 + 4563143*m**2\/2 - 7808353905204*m + 23425054870898\/3 = 0. What is m?\nAnswer: 1, 6844714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**5\/300 + 43*n**4\/120 + 2*n**2 + 7. Factor v(g).\nAnswer: g*(g + 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.3, 0, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*n - 36 = n, -3*n = 2*l + 18. Let u be (-1 + l\/(-6))*2. Let a(k) = 5*k. Let x be a(u). Solve -2*r = -7*r - x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 213*c**2 + 13852 + 505*c**3 - 502*c**3 - 3062*c - 1501*c + 7775 = 0?\nAnswer: -89, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0201974294 less than 43.093?\nAnswer: 43.0728025706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34969225*d**3 - 6413442.\nAnswer: -104907675*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (148\/1295)\/((-6)\/7).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6536*p - 2*p**2 - 6535*p + 1788 - p**2.\nAnswer: -3*p**2 + p + 1788","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-15))\/(4\/1090). Let i = c - 151. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(8\/13)*f\/(f*f**(-2\/15)*f)*f)\/((f**(-30)\/f*f)\/(f**26*f*f)) assuming f is positive.\nAnswer: f**(11456\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-955*x + 955*x - 279*x**2)*(6*x + 0*x - x + (2 + 0 - 3)*(-2 + 2 + 2*x)) + (-x + x + 2*x)*(-5*x**2 + x**2 + 3*x**2).\nAnswer: -839*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38437\/6 - 6387. What is the common denominator of t and -47\/93?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1728)\/862 + (-8)\/(-48)*12. Which is greater: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -534 - -555. Let c = 7 - 2. Suppose 84 + 221 = c*i. Calculate the remainder when i is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 - -6204?\nAnswer: 6172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.85986 microseconds to seconds.\nAnswer: 0.00006985986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/(-12) - 1)*(-208)\/156.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*i + 8, i - 128 = z - 131. Put -1, i, -145 in decreasing order.\nAnswer: i, -1, -145","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-35) - -1)\/3. Let q = -4 + 3.7. Suppose 11*f + 2 + 9 = 0. Which is the closest to f? (a) q (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 4*c - 9 + 25, 5*o + c = 22. Solve -r = 3*r - o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 24 + 1 - (-2 - -8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = 203*u - 208*u. Calculate the highest common factor of 36 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 - 2 + 22 + 8*g**2 - 11*g**2.\nAnswer: 3*g**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -140113*h**6 - 303427*h**2 - 2*h - 2 wrt h?\nAnswer: -16813560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 150, 13, -4, 5 in descending order.\nAnswer: 150, 13, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112157570?\nAnswer: 2, 5, 7, 19, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282402 + 6056*v**2 - 282402 - 6065*v**2.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 13*g + 45. Let k(h) = h**2 - 20*h - 5. What is the units digit of k(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3 - 15124*b**2 - 842240*b - 11769408 = 0 for b.\nAnswer: -7506, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/5))\/y*y)\/(y*y**(-3\/2)*y)*((y*y\/((y**(-5\/3)\/y)\/y*y)*y)\/y)\/y*(y*y**4)\/y assuming y is positive.\nAnswer: y**(257\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2930 - 2930.1847. Round t to 3 dps.\nAnswer: -0.185","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 + 2 + -2)*36 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqdqqqddddddd. What is prob of picking 1 d and 1 q?\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1057, -2115, -3177, -4243, -5313, -6387, -7465?\nAnswer: -8547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2299))*6 + sqrt(2299) + -2)**2.\nAnswer: 1540*sqrt(19) + 112751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q - 4*q - 8*q + (2*q - 2*q + 2*q)*(3 - 3 - 1) + (2*q - q + 0*q)*(2 - 2 - 1) in the form p + h*q and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5 = -j + 13, -4*j = 2*v - 62. Calculate the remainder when 53 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 242866*b**3*s**3 + 60*b + 249*s**3 wrt b.\nAnswer: 1457196*b*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 12 = 4*d, 0 = -4*d - 5*o - 3 + 18. Suppose 3*s + s - 36 = d. Let g = s - 4. Solve f - g*x - 2 = 1, -4*f - 5*x + 12 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83645828863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b - 4*b + 15*b**3 - 4*b**3.\nAnswer: 11*b**3 - 22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-15)*(1 - 0)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*l + 2*o - 131, -5*o + 259 = -4*l. Let i = l + 561. Round i to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.02 - -0.02. Let m = -3.802 + -1.228. Let t = 0.03 + m. Put v, 5, t in decreasing order.\nAnswer: 5, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, f: 1, c: 2, k: 4}. Give prob of picking 1 f, 2 c, and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 6*y**2 + 5*y + 5. Determine h(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/36*(-3)\/(-15). Let y = -1\/4 - x. Let j(u) = u**3 + 2*u**2 + 3*u + 3. Let l be j(-2). Which is the third biggest value? (a) l (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/54 - 14\/12. Is c greater than -17\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119338413435 - 119338413435 - 3*a**3 + a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2672)\/6680*(-50)\/12.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -750450 to the nearest 10000.\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -2*w + 45, -w - 49 = -287*i + 283*i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004511 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-278))\/(612\/765*15\/(-6))?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1012 - 154. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2319.\nAnswer: 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1004 + -631. What is the remainder when s is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 11265 + 212664 + 274496 = 0. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 836757\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 20, -9, 1.5, 3\/8, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, 5, 62, -1 in decreasing order.\nAnswer: 62, 9, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0969222 to 3 dps.\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + -48. Suppose w - h = 468, 1872 = 4*w - h + 6*h. Suppose 0 = 3*d + 3*s - 699, 4*s - s = -2*d + w. Calculate the greatest common divisor of b and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 298 - 298. Is t at most as big as -6\/133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.2, -2, 1.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxfppgppppxvxxxfp. Give prob of sequence fvpg.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -537, -1565, -3743, -7647, -13853, -22937, -35475?\nAnswer: -52043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 + 4*y**2 + y - 2. Let f be g(-2). Let d(t) = 7 + t - 1 - 2 + 0. Let m be d(f). Which is the third smallest value? (a) -4 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9*1*5*(-60)\/1900?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9493, 9485, 9467, 9433, 9377?\nAnswer: 9293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 9. Let r = -167511 - -167510. Sort -3, q, r, 0.4 in decreasing order.\nAnswer: 0.4, r, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.450658 decades to centuries.\nAnswer: 0.9450658","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 4*l - 5. Let w be h(5). Suppose w = -m + 1 + 2. Let u(o) = 2*o**3 - o**2 + 4. What is the units digit of u(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -27500000*k**3 - 2*k - 2. Let o = -52 - -51. Let h be c(o). What is h rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.435 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43379518879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1891 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + -1 + sqrt(19)) - sqrt(133)\/(sqrt(448)*5 + sqrt(448)))**2.\nAnswer: 1085299\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18352969.\nAnswer: 29, 131, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -9*g**2 - 11*g - 3. Let b(y) = -18*y**2 - 25*y - 5. Let m(v) = -2*b(v) + 5*t(v). Let a(j) = 4*j**2 + 3*j + 3. What is -5*a(o) - 3*m(o)?\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*k = 25, -5*r + 0*k + 4*k + 38 = 0. Suppose 3*b = 2*d + 51, -101 = 5*b - r*b - 2*d. Which is greater: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-12) - 2380\/12. Let v = -22 - z. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -9848 + -1.\nAnswer: -9849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csqsqqqs. What is prob of picking 1 q and 2 s?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z - 103*z + 63445 = -17267. What is the remainder when z is divided by 116?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -54.921. Let y = -0.021 - u. What is the second smallest value in y, 3, -2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 39\/18)*1950\/(-2600)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(-8 + 4) - (0 - 3). Is 101673\/13 - (2 + -1 - h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i - 22 = 92 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 0 = -2*x + 4, -4 = -5*k + 2*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -24*l - 42 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656 divided by 9841?\nAnswer: 2656\/9841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/18 + 4\/24)\/(4\/4). Let f = -12 - -14. What is the nearest to 1\/3 in f, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5 - 10*s**4 - 6*s**3 + 58*s**2 + 4*s - 48 = 0.\nAnswer: -2, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1137118988.\nAnswer: 2, 23, 677, 18257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/144 and (-99)\/(-48)*247\/171?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/101873 in 2\/21, 0.1, 4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**23*i*i\/(i\/(i\/(i\/(i*i**(-3\/7))*i))))**(-18) assuming i is positive.\nAnswer: i**(-2970\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 2721*k**2 + 49782*k + 155400.\nAnswer: -3*(k - 925)*(k + 4)*(k + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.171 + 0.095. Let v = x - -0.076046. Round v to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 50 (b) 2 (c) -0.2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 3*j**2 - 2. Let x be w(2). Let s(i) = -3*i - 1 - i**2 + 0*i**2 + 2 + 2*i**x. Determine s(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 318*j**4 - 1188*j**3 + 19*j**2 + 27*j + 149 wrt j.\nAnswer: 7632*j - 7128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -430b4 (base 15) to base 12\nAnswer: -a318a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 236 - 236.00018559. Round u to six dps.\nAnswer: -0.000186","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 877, 862, 887, 970, 1129, 1382, 1747?\n\"Answer: 3*a**3 + 2*a**2 - 42*a + 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45693 is divided by 214.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -3*m - 3, 4*m + 2*y - 69 = -81 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v + 176. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 2*w**2 + 7*w + 3*w**2 + w**2 - 14*w.\nAnswer: 2*w**2 - 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1895.\nAnswer: 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3403 (base 6) to base 12\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(18\/12*42\/35)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 42658648?\nAnswer: 767855664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 228127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, p: 3, f: 1, k: 5, d: 4}. Give prob of sequence fd.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 - 2 = 0. Let y be b\/3 + (-40)\/(-15). Suppose -y*q = q - 4*a, -2*a = -2*q + 2. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10536870 by -10.\nAnswer: -1053687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 10397*f - 10393*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 328*l + 1119*l + 4491*l**3 - 29 + 1600*l + 26 wrt l?\nAnswer: 26946*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 14*220\/(-154)*(-2 + (-22)\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-3))\/(((-509320)\/336)\/(-107))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4 = -2. Let h = 3 + z. Let j be (-6 + 8)*(0 + h). Solve j + 3 = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a meter in centimeters?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -10*p**2 - 9*p + 11. Let k(n) = -5*n**2 - 4*n + 5. Let y(a) = 4*c(a) - 9*k(a). Let i(r) = -3*r**2. What is i(y(u))?\nAnswer: -75*u**4 + 30*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.7 (b) -2\/7 (c) 250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14078 and 40.3?\nAnswer: 567343.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -317170, 5\/4, 0.4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 32. What is the third smallest value in x, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3686705 is divided by 409628?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/((-6)\/(-3)))\/(1 + 8). Which is the biggest value? (a) -0.4 (b) -0.5 (c) 2 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3947227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 + 194*r. Let u(l) = -14*l. Give a(u(i)).\nAnswer: -392*i**2 - 2716*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(171)*3 - sqrt(171)) - 2*sqrt(171)*1)\/(1*(1*sqrt(1089) - sqrt(1089)) + sqrt(1089) + sqrt(1089)) + 2.\nAnswer: -4*sqrt(19)\/11 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42.734 + -0.266. Let h = o - -39. Which is smaller: 28\/5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*u + 227*u**3 - 101*u**3 - 105*u**3 to the form s*u**3 + l*u + o + y*u**2 and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 68028981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106992.\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10318999 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1068654 is divided by 22251?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 171.9330754?\nAnswer: -172.1330754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 377.9059 + -378. Round f to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200213 (base 4) to base 2.\nAnswer: 1100000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*-5*(28 - 13769\/490) + 2 + 0. Factor -3\/2*v**2 + 6 - 2*v + 1\/2*v**z.\nAnswer: (v - 3)*(v - 2)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) + sqrt(21))*3 + sqrt(756)*-1)\/(3*(sqrt(21)*2)\/sqrt(7)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lel when three letters picked without replacement from eerelsllelessa.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -20. Let z(p) = -p**3 + 7*p**2 + p. Let v be z(7). What is the units digit of 26\/v + u\/(-56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107976 by 13497.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/10 - 93*g**2\/10 - 1008*g\/5 + 3456\/5.\nAnswer: -(g - 3)*(g + 48)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3))**(11\/2))**(-1\/90)*(k\/(k\/k**4)*k)\/k**(1\/6)*(k**1)**(-10) assuming k is positive.\nAnswer: k**(-2779\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h - 1162. Let s be g(18). Sort 2, -0.5, s, 0.\nAnswer: s, -0.5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -47.5. Let b = -10.7 - j. Let g = b - 1.8. What is the closest to 2 in g, 2\/13, -0.5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24567 or -24947?\nAnswer: -24567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 17. Let d(j) = -j**2 + 12*j + 2. Let s be d(12). Suppose q = -s*n - 2*n. Solve n = l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-1)\/x)*x)\/x)**(-19) assuming x is positive.\nAnswer: x**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 15254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 8:29 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003455 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {c: 1, h: 1, b: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(260))\/sqrt(10) + sqrt(104)*1)\/(sqrt(2) + (sqrt(2) - 3*sqrt(12)\/sqrt(6)) + sqrt(2) - (sqrt(50) + sqrt(450) + sqrt(50))).\nAnswer: sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-666)\/12*(-4)\/3. Suppose -j - 43 = 3*i, -4*j - b = 2*i + 3*i. Let a(v) = 10*v + 10. Let m(q) = 2162 - 2159 + 0*q + 3*q. Calculate i*m(w) + 4*a(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**5\/45 + 19*i**4\/27 + 40*i**3\/27 + 362*i. Factor r(z).\nAnswer: -4*z*(z - 20)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2969 + 2)*(-82 + 27). Suppose -16*p + g = 22065. Round p to the nearest one hundred.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/4)\/(9702\/264))\/(15\/(-21))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -4*r - 23, 7*n - 5*r - 126 = 2*n - 265 + 134 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8468 divided by -2?\nAnswer: 4234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*r + 4 = 0, -r + 20 = 4*g + 6. Suppose 25 = -g*p + 2*p. Is 8\/(-10) - 2245\/p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74652965869125505 - 74652965298243262.99999907. Let f = q + -570882119. Let g = 123 - f. What is g rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42118 at least -42111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-9))\/((-4)\/6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(300) + 3)**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3650, 5413, 8374, 12539, 17914?\n\"Answer: z**3 + 593*z**2 - 23*z + 3079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 42*i - 139. Calculate y(31).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*s + 78*b*l*s - 176*b*s + 3*l*s - 54*l + 4*s + 5 wrt b.\nAnswer: -4*b*s + 78*l*s - 176*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75639.\nAnswer: 3, 19, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 235, 94, -295, -1058, -2321, -4210, -6851?\n\"Answer: -21*d**3 + 2*d**2 + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 26*x**2 + 21*x - 4. Let p(k) = 2*k**3 + 51*k**2 - 42*k + 8. Let t(l) = 6*p(l) + 11*y(l). Give t(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1)\/(-4) - (-22)\/(-44).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwyo when four letters picked without replacement from {o: 1, y: 1, z: 1, a: 1, w: 2, p: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -355?\nAnswer: 2840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*d**3*j**2 + d**3*j + 21*d**3 - 74*d**2*j**2 + 5*d**2*j - 3*d*j + 60*j**2 + 8*j wrt j?\nAnswer: 16*d**3 - 148*d**2 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2231, 7, 2243, 4477, 6709, 8939, 11167?\nAnswer: 13393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k = 1. Is k\/(870\/(-434) + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19123 times -3?\nAnswer: -0.57369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -68, 2, 5 in descending order.\nAnswer: 5, 2, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 442 and 6?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 21*v + 18. Let y be t(21). Solve -5*f = 2*n - y, 10 = -2*n - 0*f + 2*f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/(-7749)*((-12)\/8)\/(-14*(-13)\/91)?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 2. Let a(v) = 1. Let j(s) = 5*a(s) - g(s). Let i be j(2). Is i + (1 - 1) - -49 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 490\/63 - 4\/(-18). Let i = a + 6. Calculate the remainder when 26 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 987*m**5 + 10*m**4 - m**3 + 2520 - 2625*m**5 + 14*m**4 - 24*m**4 - 2*m wrt m?\nAnswer: -32760*m**3 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -15896.\nAnswer: -3\/15896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -684*y**5 + 5*y**2 + 5?\nAnswer: -41040*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Let c(i) = -23*i**2 + 8*i**2 + 12*i**2. Calculate c(s(o)).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d**5\/2 - 1860*d**4 - 116595*d**3\/2 - 551585*d**2 + 441840*d + 169920 = 0. What is d?\nAnswer: -59, -24, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 223.76 times 0.2?\nAnswer: 44.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 1024 = -3*b - 1031, -5*b = -3*k - 63 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8\/(-6))\/((-1)\/12) is divided by (-2 + (-60)\/(-21))*1344\/144?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 96173.92 centuries?\nAnswer: 9617392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-2*(-4)\/((-48)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2 - 6*t. Suppose -3*d = -2*d - 4. What is the tens digit of x(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -156*k**2*t**5 + 2*k**2*t**2 + 6*k**2*t + k**2 wrt t.\nAnswer: -3120*k**2*t**3 + 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, i: 5}. What is prob of sequence uii?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 118439185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -23 + 52*d**2 - 24*d + 1 - 51*d**2. Let y be x(25). Which is the nearest to 9\/2? (a) y (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325328414 to the power of 1\/2, to the nearest integer?\nAnswer: 18037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + f**2 - 5*f + 8. Let o be b(0). Solve o*q - 1 - 15 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80370 divided by 19\nAnswer: -4230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 - -96. Suppose 0 = -g + 36 + 9. Suppose 6*v - 25 = h*v + l, g = 3*v + 3*l. Calculate the lowest common multiple of 9 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 21*f**2 - 16*f + 68. Determine h(-20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 332*c**2 + 1007*c + 556. Give s(-335).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (504\/45 + -6)*-2.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -105. Let m be -2 + 6\/(-18) + (-44)\/(-6). Calculate the highest common divisor of f and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 16 - 4)*(-4*m + 0*m + 2*m)*(-6*m**2 + 6*m**2 + 13*m**2) in the form q*m**3 + w*m + p + b*m**2 and give q.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Let y(v) = -19*v - 1. Let p(d) = 29*d + 1. Let l(r) = 3*p(r) + 4*y(r). Give l(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(84) + (sqrt(84) - -2*sqrt(84)))*-2 + sqrt(84) + -1*(2*sqrt(84) + sqrt(84))))\/((-1*sqrt(132)*2)\/((sqrt(44)\/sqrt(4) + sqrt(11))*2)).\nAnswer: -120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 8:12 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 470374874 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 760 and 462764.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/8, 0.26, -14\/5, 0.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r**2 + 9*r - 50. Does 9 divide y(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 138*x**2 - 34006. Let l(m) = m. What is a(l(y))?\nAnswer: 138*y**2 - 34006","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26680 and 2610.\nAnswer: 240120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*c - 26989 + 237265. What is the greatest common divisor of c and 264?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -1031?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 at most 12738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 11*p**2 + 14*p - 18. Let l be r(12). Differentiate 5 - l - 2 + 3*z with respect to z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (2 + 29) - -14\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17094, 25568, 34042, 42516, 50990?\nAnswer: 59464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1273?\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 674822 to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.481739 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.7017546 kilograms?\nAnswer: 701754600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 - 2*c + 0*c**3 + 3*c + 2 in the form y*c**2 + j + g*c**3 + d*c and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*n + 61 = 0, -4*z = -0*z - 4*n - 60. Suppose 4*w + z = 2. Which is smaller: -6 or w?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541096163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -10, 109, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149085300 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8259*l - 73916. Calculate w(9).\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 23*k - 78. Let w be m(20). Let r(q) = -26*q - 40. What are the prime factors of r(w)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let k = 18 - 12. Let a(b) be the first derivative of 13*b**2\/2 - 3*b - 9. Let z(v) = -13*v + 2. Let t(u) = k*z(u) + 4*a(u). What is t(f(m))?\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 156*z**4 - 178*z**4 + 13*z**2 - 4*z**2 wrt z?\nAnswer: -528*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 563.9 or -2\/11911?\nAnswer: -2\/11911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 736.7*-4.\nAnswer: -2946.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 91 = -644. List the prime factors of 3248\/s + 4\/(-5).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -242 or 2\/3?\nAnswer: -242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + 8*u - 12. Give q(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1*(sqrt(1331) - (0 + sqrt(1331)))*-5 + 3)*-2)**2 + -2.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -64\/45 in -6, -8, -3, 18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*5*((0 + -2*sqrt(208) + sqrt(208))**2 + (sqrt(13)*-2 + 3 + 3)**2).\nAnswer: -8880 + 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*l - 0. Suppose l = -2*n + 11. Let w(o) = -5*o - 15. Let t be w(-4). Calculate the highest common divisor of t and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 48*f**2 - 194*f - 24. Determine z(44).\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 1\/48 (c) -2.7 (d) 5 (e) 1\/8 (f) -5 (g) 19\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -27 + 12 - -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-10)*(n\/(n*n\/n**(-1\/18)))\/n*n*n**(-4)*n*(n\/(n**(-1\/8)\/n))\/n assuming n is positive.\nAnswer: n**(-931\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 217\/21 - 2\/6. Suppose b = 5*g - 15. Solve 4*z - 30 = -5*q, g*z - 5*q - 4 = 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from {f: 2, u: 1, c: 2, t: 5, m: 2, w: 5}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + -2)*1 + (sqrt(832) - (sqrt(832) + (sqrt(832) - (2 + sqrt(832))*1)))**2 + 4 - (-6*(5*sqrt(832)*2 + (sqrt(832)*1 - sqrt(832))*4))**2.\nAnswer: -2995194 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - 530. Let i = 1372 + g. Calculate the highest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q - 6. Calculate o(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r. Let j be t(1). Suppose 2*g + 3*s - 78 = 0, -4*g + j*g = -s + 208. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2 + 265*g - 468. Give x(-68).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 + 12*s**3 + 3 - 17*s**3 as c + k*s + y*s**3 + v*s**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*g**2*o - 1487813*g*o - 76950793*o wrt g.\nAnswer: -32*g*o - 1487813*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3 + 3 - 3)*(17*c**4 - 11*c**4 + 13*c**4).\nAnswer: -38*c**5 + 57*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4271052486.\nAnswer: 2, 3, 43, 443, 37369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*u + 38, 5*g = 2*g + 5*u + 34. Let x = 1 + -3. Let c be -2 + 1 + -1 - x. Solve -t - t - g = c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(-3*sqrt(2) - sqrt(2)))**2 - (-1 + sqrt(5) + -5 + sqrt(5) - sqrt(5)).\nAnswer: -sqrt(5) + 101\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (849\/(-285) - -3)*(12 + 4485\/(-270)) and -103\/1140?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -164387769 - 0.0554598.\nAnswer: -164387769.0554598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + 8*d**4 - 2*d**4 + 2*d**4 - 2*d**4 - 2*d**4 - 3*d**4 + 3*d**4 + 2*d**4 + (0 + 1 + 1)*(d**4 - 5*d**4 + 5*d**4) - 195*d**4 + 179*d**4 - 118*d**4.\nAnswer: -126*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*n + 11 = 0, -t - 3*n - 18 = -6*t. Solve -t*c - 4 = 4*l, -5*l + c = -0*c + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 2*q**2 - 3*q + 1. Let b be g(3). Let h = b - 2. What is the units digit of -4*((-9)\/(-6))\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 55\/(-66) - (-3)\/18. Sort 1, 1091, n in increasing order.\nAnswer: n, 1, 1091","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i + 3. Suppose 3*k + 14 = d, -2*d = d - k - 10. What is l(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1 - 3*j - 2*j - j. Let h = -3 - -2. Determine m(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 9*m - 3. Let g(c) = -c**2 - 14*c + 2. Let a(t) = -t**2 + t - 1. Let h(p) = 3*a(p) - g(p). Calculate 3*h(k) - 5*i(k).\nAnswer: -k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 537*o*u**6 + 2*o*u**4 + 65*o*u + u**3 + 24*u**2 + 2*u + 1 wrt u.\nAnswer: 64440*o*u**3 + 48*o*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytemf. Give prob of picking 1 m, 1 e, and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -73084862 divided by 479\nAnswer: -152578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 56 = 4*b, -3*g + 56 = 5*b - b. Calculate the highest common divisor of 112 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2. Let h be z(1). Suppose -f + h = g, 2*g - 2*f - 3 = 11. Suppose x - g = 7. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143 * 498\nAnswer: 71214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2396*r**2 + 4827*r**2 - 2433*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3)\/f)\/(((f*f**(5\/2)*f)\/f)\/f*f)*(f\/((f*f**1)\/f))\/f**(4\/5) assuming f is positive.\nAnswer: f**(-169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 1. Let q(y) = -7*y**2 + 24*y - 26. Let l(f) = -6*a(f) - 2*q(f). Factor l(c).\nAnswer: 2*(c - 23)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/((o**(-3\/13)\/o)\/o*o)))\/o**24)\/((((o\/(o**3\/o))\/o)\/o)\/o)**(-16))**(1\/2) assuming o is positive.\nAnswer: o**(-580\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-36)*(-1)\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 247989.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.23 in 17, 0.14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**3\/3 - 18792*k**2 - 169100*k\/3 - 37576 = 0.\nAnswer: -14091, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j = 0. Suppose 3*g - 4*m - 32 = j, 5*g = 4*g + 3*m + 19. Let b = g - -1. Sort 2, -1, b in decreasing order.\nAnswer: b, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 880078908 to the nearest integer?\nAnswer: 29666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20045?\nAnswer: 5, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.047 times 17?\nAnswer: 374.799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 160982.\nAnswer: 5312406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s. Let b(l) be the second derivative of 2*l**3\/3 - 4*l. Calculate n(b(i)).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -344 - -406.2. Let f = q + -62. What is the biggest value in 1\/3, f, -4, 0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -412 + 443 - (-3 + 3 + 70)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-4 - -11)) + -1 + 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**3 - 3*w**3 + 493585*w**2 - 493585*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75112863?\nAnswer: 3, 7, 3576803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 8*d - 4. Let g be p(3). Suppose 5*v = -4*n + 35, 0*n - g*n + 25 = 5*v. Find r, given that 4*r**3 - 8*r**3 + 0*r**v + 5*r**2 - r**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**4 + 2*i**4 + 2*i**4 + (2*i + 3*i**3 - 2*i)*(34*i + 14*i - 10*i) to the form t*i**3 + z*i + s*i**4 + p + c*i**2 and give s.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5151354*k = 5151335*k + 684 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 0*a + 53 - 2*a + 2*a - a. List the prime factors of b(0).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*o + 2*v - 34, 0 = -3*o + 2*v + 22. Suppose 4*z = -4*a + 2284, 75*a - 2*z = 76*a - 574. Calculate the greatest common divisor of o and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m + 4. Let d = -274 - -205. Let p = 66 + d. Let v(x) = -x + 1. What is p*v(c) + q(c)?\nAnswer: -5*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2309 + -2238. Suppose -4*q - q - 2*n = -20, -5*q + 35 = -n. Suppose 3*o + p + 55 = q*o, -p = -5*o + 91. What is the remainder when r is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3963 or 3977?\nAnswer: 3963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8495 + 12417. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -335259336, -335259335, -335259332, -335259327, -335259320, -335259311?\n\"Answer: d**2 - 2*d - 335259335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 19 + 113. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1402866630 by -45.\nAnswer: -31174814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13821349 is divided by 6025?\nAnswer: 6024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -11. Suppose 35 = l*d + d. Suppose 0 = z, 2*i + 2*z - 107 = -d. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4*g + 16, -v = 3*v - 3*g + 20. Let d(m) = m**2 + 8*m + 5. Let o be d(v). Suppose 0 = o*q + 276 - 746. What are the prime factors of q?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6\/25, -32, 0.3, 6, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 13*a**2 + 5*a + 7. Let p be k(-6). Suppose p = h + 4*h - 3*n, -4*n + 55 = h. Suppose -2*g = -g - h. What are the prime factors of g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5\/11 + 1412*v**4\/11 + 102714*v**3\/11 - 439256*v**2\/11 - 410888*v\/11 + 1734432\/11 = 0. Calculate v.\nAnswer: -623, -87, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -109*d**5\/10 + d**4\/12 - 51*d**2\/2 - 221*d - 1. What is the first derivative of z(h) wrt h?\nAnswer: -654*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*-6650.6\nAnswer: 73156.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 276*n**5 + 4*n**4*q**3 - n**2*q**2 + 10*n*q**3 + 4*n*q wrt n.\nAnswer: 16560*n**2 + 96*n*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 79870000 to the nearest 1000000.\nAnswer: 80000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -7. Let f = -2.1 + -12.9. Let d = -11 - f. Sort -1, d, n.\nAnswer: n, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*l + 4*l**2 + 312 - 166*l - 112*l - 97*l + 48*l.\nAnswer: 4*(l - 78)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z**3 - 3*z**2 - z - 2. Let s be q(-2). Let b = -20 + s. Solve b = -2*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12023 + -233014?\nAnswer: -220441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5881*z = 27689 - 22160 - 81091 - 42058 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {u: 8, n: 2, j: 3, b: 1, y: 2, f: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 4.06?\nAnswer: 5.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3 (c) 9 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -17*f + 3. Let g(n) = -14*n - 6 + 4 + 0 + 31*n - n. Give 2*d(q) + 3*g(q).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.4 + -3. Let n = m + -3.4. Let q = -570 - -569.96. What is the third smallest value in -0.06, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38.017 - -0.017. Let k = -38.114 - u. Let p = k + 0.1199. Round p to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeteeccttrheetotcehc. What is prob of picking 1 t, 1 e, and 1 o?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226529024 divided by -16.\nAnswer: -14158064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 4, c: 2, k: 1, w: 2, z: 2}. What is prob of picking 1 w, 1 k, and 1 i?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 1240251.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 44 = y. Suppose -5*o - 4*f = -y, f + 7 = 3. What is the lowest common multiple of o and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqz when three letters picked without replacement from zzzqzqzzzz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1759153 rounded to 3 decimal places?\nAnswer: -2.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v + 2 = g + 17*v, -4*g + 5*v = -5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 58183*c - 116356*c + 58176*c. Let s(n) = 48*n + 10. What is s(f(d))?\nAnswer: 144*d + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5250155 + 4?\nAnswer: 5250203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 0.03?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r = -2*r + 93. Suppose 3*w + 1 = 4*t + 6, -w = 4*t + 25. Is (t + 3 - r)*2321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56*((-30)\/(-28) + 1096\/(-1918))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -702000 divided by 70200\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 2738430.\nAnswer: 24645870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -109*d**3 + 19*d**2 - 14*d + 7. Let q(l) = 72*l**3 - 13*l**2 + 10*l - 5. Give -5*h(j) - 7*q(j).\nAnswer: 41*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = l - 2*v, l - 2*l + 5 = 3*v. Let x(o) = o**2 + 7*o + 4. Let z be x(l). Sort z, 2, 5 in descending order.\nAnswer: 5, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3661785 by 2.\nAnswer: 3661785\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**4\/12 + 11*w**3\/6 + 7*w**2\/2 + 94*w. Determine b(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 460.297 - -1.602. Let b = 0.899 - i. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6354964922 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331 divided by -3.\nAnswer: -331\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/5 of a decade?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 6*o = -7*o - 2, -4*v + 3*o = 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*r + 492 = r, -3*r = 2*b - 251. Let j = b - 124. Which is bigger: 1\/44 or j?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 875419?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4708, 11858, 19034, 26248, 33512, 40838, 48238?\n\"Answer: 2*m**3 + m**2 + 7133*m - 2428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*u**2 + 1135*u**2 + 311*u**2 - 557*u**2 + 390*u**2.\nAnswer: 1515*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3254000 to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(59*m**2 + 7*m**4 - 59*m**2) + 2*m**4 + 0*m**4 - 4*m**4 + (-3*m + m + 4*m)*(-2*m**3 + 3*m**2 - 3*m**2).\nAnswer: 15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1137 by -4.\nAnswer: 1137\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50738 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 41000.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/24101 or -1?\nAnswer: -2\/24101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385560, 385476, 385334, 385134, 384876, 384560, 384186?\nAnswer: 383754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-10)\/4)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 410248?\nAnswer: -410247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 4, b: 2, n: 5, q: 2}. Give prob of picking 1 b and 1 c.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8063, 8098, 8133, 8168?\n\"Answer: 35*z + 8028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*d + 9 + 11 = 0, -4*d - 4 = 0. Suppose -5*x + o*h + 16 + 4 = 0, 4*h + 16 = 2*x. Suppose x*r = -3*r + 18. Solve 0 = -t + r*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156773590 is divided by 2094?\nAnswer: 2092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 10192809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 1063*a - 11409. Determine c(365).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30707477797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 10:04 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 1.7, 3529?\nAnswer: 3529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1 + 11.9. Let m = 12.93 - a. Let h = 4.93 - m. Sort -3, 3\/7, h.\nAnswer: -3, 3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g - 18. Let b be 3*(1 + g\/(-9)). Find the second derivative of -3*v**b - 4*v**5 + 5*v**5 - v wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*l = -0*l - 5, 4*n = l - 31. Let b = 27 + n. Let m be (-17)\/(-4) - 2\/8. Solve 3*g = b - m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 5)*(-6 - r + 6)*(2*r + r - 2*r + (0 - 2 + 0)*(196 - 10*r - 196)).\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1226243 and 11153.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -7 + 3. Let k = -147 + 220. Suppose -3*a = f + t*f - 174, -a - 4*f = -k. List the prime factors of a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 - 116*w**3 + 12*w**4 - 118*w**3 - 2 + 233*w**3 in the form s*w**4 + a*w**2 + r + l*w**3 + k*w and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03693 * 12.\nAnswer: -0.44316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190447?\nAnswer: 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-14)\/(-175))\/((-1)\/(-5)))\/((-22)\/660)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23849191\/9720 + -19629\/8. Find the common denominator of t and -46\/21.\nAnswer: 17010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 15*r**2 - 601*r - 3498. Give b(-31).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -125, -158, -225, -338, -509, -750, -1073?\nAnswer: -1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - a - 32. Let p(k) be the second derivative of 19*k**4\/12 - k**3\/2 + k**2 + k. Let t be p(2). What is the highest common factor of a and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11101110101100000 (base 2) to base 8\nAnswer: -356540","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 1007?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 - 2*z**2 - 2. Let p(u) = -u**3 + 3*u**3 + 5*u**2 - 10 + 2*u**3 + 15. Give 3*p(c) + 7*r(c).\nAnswer: -2*c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -108838 (base 13) in base 15?\nAnswer: -7a97d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1, -5, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 12:19 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 985151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(3 + -2)*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/6 - 233083*b**3\/6 + 2264954356*b**2 - 151577607048*b.\nAnswer: b*(b - 116508)**2*(b - 67)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - (sqrt(130) - -2*sqrt(130))*4) + (sqrt(130) - (sqrt(130)*-2 + sqrt(130))*4))\/(((sqrt(480) + 1*sqrt(480))\/sqrt(12))\/sqrt(4)))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -121102122 (base 3) in base 16?\nAnswer: -2eca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**2\/h)\/h)\/h)\/h*h**8\/h*(h\/(h\/(h**0*h)*h*h*h))**(-3\/5) assuming h is positive.\nAnswer: h**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 0*z**3 + z**3 + 2 + z as c + k*z + g*z**3 + d*z**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 + -8 + -1 - (0 + -2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2\/11 - 996*q\/11 + 1988\/11 = 0. What is q?\nAnswer: 2, 994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 2:44 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2842 and 6.\nAnswer: 8526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -873 divided by -3.\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - i + 476, -2*u + 0*u = 5*i - 339. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/5 + 221*f**2\/5 - 1916*f\/5 + 1696\/5.\nAnswer: -(f - 212)*(f - 8)*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.03, -5\/6, 6\/5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 22 - 76 = 0. What is the smallest common multiple of n and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110*a**3*u**3 + 12853*a**3*u**2 + 3*a**2*u**3 + 10221*a - 37 wrt a.\nAnswer: 660*u**3 + 77118*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 160\/(-24)*15\/(-110)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*t + 719 - 269 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (3 - (-3 + -6) - (-29 - -70)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29310 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: Calculate the highest common divisor of 1634350 and 300.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133*i**3*r**3 + 3*i**3*r - 4*i*r**3 - 12*r wrt i.\nAnswer: 798*i*r**3 + 18*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 192 + -181. Solve 0 = 15*g - k*g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 94 = 14*r - 176. Suppose -4 = -5*q + q, 2*j + 2*q = 60. Which is greater: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175937939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -209*a - 131*a + 73*a to p + s*a and give s.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 3*b - 69, -4*s = b - 88961 + 88924 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieiineinie. What is prob of picking 2 i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4141923 times 2\nAnswer: 8283846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in 1\/3, -5, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 7*i - 7. Let b(g) = g**2 - 5*g - 4. Let q be b(4). Let c be x(q). Let r be (-2 - -2) + 6\/(-9). Are c and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 179630 - 2?\nAnswer: 179628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-12))\/(25\/(-60))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 3*v - 11, 7*t - 10*t - 9*v - 69 = 2*t - 8*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23 - (6\/3 + 0). Let n be (-16785)\/(-2) - (o\/(-6) - -2). Suppose -6*f + 0*f = -n. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*b + 28 = 0, -6*o + 3*b - 27 = -9*o. Solve 3*j - o*j = 2*k + 23, -3*k = 3*j + 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 3*s**3 - s**3)*(2330 - 195*s - 2330)*(s + 0*s + s).\nAnswer: -390*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 + 8*k**4 + 2*k**3 + (-4 - 4 + 1)*(-12*k**4 - 5*k**4 - 4*k**4) as p*k**2 + b + s*k**3 + w*k + z*k**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*-6*(sqrt(153))**2 - (5*(sqrt(17) + sqrt(153) + sqrt(17)) + (sqrt(272) + -1 + sqrt(272))**2)) + 1.\nAnswer: -170 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f5 + 39d?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 20 = 5*g, p - 18 - 2 = 3*g. Let x = p - -11. Let b = 39 - x. Calculate the highest common divisor of 20 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 106276*j**5 - 29437148*j**4 + 556525036*j**3 - 2724461348*j**2 - 33491840*j - 102800 = 0.\nAnswer: -1\/163, 10, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = o. Suppose -f = -o + 4. Let m(i) = -i - 4. Calculate m(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7481 + -7481.01159. Round t to 4 dps.\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82673453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 81*k**6\/10 - k**5\/20 - k**4\/12 + 43*k**2\/2 - 8*k - 111. Differentiate b(r) wrt r.\nAnswer: 972*r**3 - 3*r**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 36. Solve 0 = -5*l + 2*a + 10, l = -l + a + x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155862775 a multiple of 738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 20, 2, 0.3, 42.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 10*w - 214 = 0, 3*i - w - 142*w + 99 = -138*w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 163492*h + 1648872.\nAnswer: 163492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2145487727?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m + 68*m - 7*m - 13*m - 13*m + 459.\nAnswer: 18*m + 459","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2639.7*-0.2\nAnswer: -527.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (6 - 23)) + -7 + (3 - 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 65*t**2 + 251*t - 432. Calculate b(61).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468615 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m - w + 8, 0 = -4*w + 16. Let h be ((-2)\/(-4)*(11 + -11))\/m. Find j such that -1\/6*j**4 + h*j**2 + 0 + 1\/3*j**3 + 0*j = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/570)\/(248\/(-155)*(-195)\/(-234))?\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 0 + 1\/12*l**4 + 1\/2*l**2 + 5\/6*l**3 + l. Let i(z) = 5*z**3 + z**2 - z - 1. Let h be i(-1). Calculate w(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -0*v + v + 2*w, -5*w = 4*v - 37. Suppose 4*t = -5*l - 2630016, 3*l + 2629988 = -2*l + v*t. Round l to the nearest 10000.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 7*g**2 + 7*g + 8. Let j be o(-6). Suppose r = j*r - 5. Let t(k) = -3 + k**3 + 3 - 5*k + 10*k - 1 + r*k**2. Give t(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - -10. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 + -10 + 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*y - 10. Suppose 0 = -3*p - 4*f + 5, 3*p + f - y*f = 10. What is the remainder when 5 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**5 - 1641*l**4 + 206244*l**3 + 5047248*l**2 + 4839360*l = 0.\nAnswer: -20, -1, 0, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 65*z**2 + 20*z - 19. What is the remainder when g(1) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhddhlddwdukh. What is prob of picking 1 d and 1 l?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, 0.0188, -5, 5.\nAnswer: -5, -0.5, 0, 0.0188, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z + 119*z**2 - 36 + 61*z**2 + 2*z**4 - 21 - 17 wrt z?\nAnswer: 24*z**2 + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -725888\/3 + 244077. Let d = -2137 + m. What is the common denominator of d and 103\/26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*q + 65 - 65)*(4 + q**2 - 4) + 4*q**3 + 0*q**3 + q**3 + 4*q**3 - 12*q**3 - 4*q**3 in the form h*q + t*q**2 + l + g*q**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 5 + 2)*(3*s**3 - 3*s**3 - 3*s**4).\nAnswer: 60*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -539 - -540. Let f(k) = 1. Let o(d) = 9*d**2 - 5. Calculate z*o(t) + 5*f(t).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llyy when four letters picked without replacement from lllllllllllllylyylll?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*t + 9533 + 2101. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l + 298*l**2 + 6*l. Let c(k) be the second derivative of -k**4\/12 + 219*k - 14. Determine g(c(i)).\nAnswer: 298*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001633441496 rounded to six dps?\nAnswer: -0.001633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-200)\/14 - (-8)\/28. Is 3 a factor of 6\/v - 432\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 12 = -13*p + 15*p, -3*p + q = -15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5832, 11728, 17634, 23556, 29500?\n\"Answer: j**3 - j**2 + 5892*j - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1741, -3300, -4837, -6340, -7797?\n\"Answer: 2*y**3 - y**2 - 1570*y - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -155\/18 (b) 0.4 (c) -3\/2 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4)*0 + 6*84\/24. Solve -h*u = -7*u - 14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 2*v + 13\/2*v**2 - 23 - 160\/3*v**3. What is the second derivative of f(w) wrt w?\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3893212, 3893180, 3893126, 3893050, 3892952, 3892832, 3892690?\nAnswer: 3892526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616020 is divided by 5179?\nAnswer: 4898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 18628*w + 1. Let g(q) = 17*q. Calculate g(l(n)).\nAnswer: 316676*n + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26275.\nAnswer: 5, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 b, and 2 n when four letters picked without replacement from {x: 4, b: 3, h: 1, n: 6, j: 4, e: 1}.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624*n - 7507 + 1515 = 9608 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27782513 and 18744?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -834 = 3*i - 900 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**(2\/3)\/q)))\/q*q**(1\/38)*(((q**(-1\/73)\/q)\/q)\/q)\/(q**(-20)*q))**(-3) assuming q is positive.\nAnswer: q**(-130483\/2774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 197, 145, 57, -67?\n\"Answer: -18*m**2 + 2*m + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 4*r**2 + r - 2. Let g(s) = 2*s**3 - 9*s**2 - 3*s + 5. Let o(z) = 2*g(z) + 5*m(z). Factor o(i).\nAnswer: -i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12297, -2934, -28319, -63858, -109551, -165398, -231399?\n\"Answer: -5077*p**2 + 17374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - -4*sqrt(500)) + sqrt(500) + 2)**2.\nAnswer: 240*sqrt(5) + 18004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Let t be 3\/(-9) - 8\/(-6). Suppose -4*g - 18 = 2. Put t, o, g in increasing order.\nAnswer: g, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -7*h**2 + 10*h + 17. Suppose -3*d + 6*d = -36. Let u be 2\/(-1)*(-3)\/(-6). Let a(g) = g - 1. Give d*a(s) + u*o(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -18.3180599.\nAnswer: 9.15902995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 237, -46, 305, 0 in decreasing order.\nAnswer: 305, 237, 0, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.13169l?\nAnswer: 9131.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -8. Let n(h) = -7*h**2 + 3*h**2 + 3*h**2 + j*h**2. Let i(p) be the second derivative of -p**3\/6 - p. Calculate n(i(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-10))\/(22\/(-110)). Let k be (-1 - 9)\/(g\/6). Suppose p = 6*p - k. Solve -3*v + 12 = l - 0*l, p = 2*v - l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43803930 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -861159386*h**4 - 5*h**2 - 54*h + 20309?\nAnswer: -20667825264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2870306 bigger than -17221835\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 132 = w. Let f(x) be the second derivative of -2\/105*x**7 - 2\/25*x**w - 1\/15*x**4 + 0*x**3 + 0 - 3*x + 0*x**2 - 3\/25*x**5. Factor f(j).\nAnswer: -4*j**2*(j + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5682 + 5757.968. Round y to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41240802 < -41240800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-40 + 5 - -22) + 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5908467 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45505182 to the power of 1\/3, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Let j(z) = -z**2 + 8*z - 5. Let l be j(6). Let b = l + p. What is the greatest common factor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2914 + 801349\/275. Let h = b - 9071\/1100. What is the common denominator of 19\/11 and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Suppose 4 = -0*t - 2*t. Let f be v(t). Let w(q) = -q**2 - 6*q - 1. Let d be w(-5). Solve -4*x - d*c = 0, -f*c + 0 = 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58514 rounded to the nearest 100?\nAnswer: 58500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 265.4 + -5.1.\nAnswer: 260.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 10*v**2 + 25*v + 28. Let r be l(12). Solve 0 = -o - 7*o + r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h. Let s be q(1). Let d(u) = -6729*u + 1. Let g be d(s). Suppose p + g + 4870 = 0. What is p rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1195 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342 and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -10*n - 1. Let x(j) be the first derivative of 2*j**3\/3 - 146. What is x(b(z))?\nAnswer: 200*z**2 + 40*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*k + 85745 = -29*k + 39*k. List the prime factors of k.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3742\/61 or -60?\nAnswer: -3742\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23568, 47128, 70696, 94278, 117880, 141508, 165168?\n\"Answer: g**3 - 2*g**2 + 23559*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**3 + o**2 - 2. Let j(t) = 3*t**3 + t**2 - 3. Let m(z) = 3*g(z) - 2*j(z). Calculate m(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 8, -86 - 16 = -5*q - 4*h. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5320*c - 343470 - 225770 = 0 for c.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 247615.8m?\nAnswer: 247615800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m**2 + 3*m**2 - 6*m**2 + 6*m**2.\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**5\/30 + v**4\/36 - 5*v**3\/18 + v**2\/3 - 8*v. Find z, given that t(z) = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, 7, -4.6, 62, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 780 and 1872?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**4\/3 - 16*j**3\/3 - 32*j**2 - 4*j. Suppose x(f) = 0. What is f?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 39896*p + 2393757. Determine x(-60).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/12)\/((-3)\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 4*s + 6, -21*p - 4*s - 96 = -11*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.15 - -5. Let i = 2.8 - t. Let g = i - -0.05. Which is the closest to -0.1? (a) -0.4 (b) g (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 8*o + 72. Suppose 7*d = n + 3*d - 18, n = 5*d + o. Let r be (-6)\/27 + 400\/n. Round r to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6)*1)\/((-18)\/(-108)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 - 4*a - 7*a**4 + 4*a**4)*(-a - 3*a + 3*a).\nAnswer: a**5 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/2 - 2567*y\/2 + 6430 = 0.\nAnswer: -2572, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.31 - -65.69. Let x = -66.8 + h. What is the biggest value in x, 8, 0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-12)*c)\/c**(-11)*c\/(c*c*c*c**(-3))*c*c*c**12*c assuming c is positive.\nAnswer: c**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**4\/3 - 6355753*v**3\/3 - 12711509*v**2\/3 - 2118585*v = 0?\nAnswer: -1, 0, 6355755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 8*r + 1638 = 0. What is the greatest common divisor of r and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2 + 8 = -5*r, 4*r - s = 12. Let q be -9 - -13 - (r - 959998). What is q rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j - 6. Let d(f) = -10*f + 7. Let s(q) = 6*d(q) + 7*v(q). Let g(c) = -c**2 - 3*c + 30. Let i be g(4). Let z(r) = 1. Give i*z(y) + s(y).\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.05558+-0.01311\nAnswer: 0.04247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3132 and 72.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 7*w. Let l be j(-7). Suppose 2*f = 5*k - 1051, 7*k - 4*k + 3*f - 639 = l. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1365063252 + -5?\nAnswer: 1365063244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*c - 4. Let u = 7 - -11. Calculate the remainder when u is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 18\/5 of a microsecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 50.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22545735 - -2?\nAnswer: -22545733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 b when three letters picked without replacement from kbbkbhhbkhhbh.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24443138.\nAnswer: 2, 89, 137321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**3 + 3*r**2 + 4*r - 6. Let m(q) = -3*q**3 + 2*q**2 + 3*q - 5. Let h(g) = 2*i(g) - 3*m(g). Let c be (4\/(-6))\/(7\/(-42)). Is h(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295 - 305 - (-3 - (-6 - -3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z**2 - 1 + 3 - 1.\nAnswer: 19*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 7. Suppose -20 = -5*w + w + 2*g, 2*g = 4. Let z be j(w). Sort z, -5, 2 in descending order.\nAnswer: z, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**5\/20 - l**4\/3 - 2*l**3 - 5*l**2\/2 + 120*l. Determine k(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*i*m**2*n**2 + 5*i*m**2 - 4050*i*n**2 - 3*m**2*n**2 + m*n**2 - 2*m wrt m?\nAnswer: -154*i*n**2 + 10*i - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/12603 and -181\/252060?\nAnswer: 252060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130 - -239. Let i = k + 26. Does 27 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*n**3 + 55*n**2 + 1\/3*n**4 + 0 + 350\/3*n.\nAnswer: n*(n + 5)**2*(n + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*b - 5*b + 5*q - q - 1544, 20*b = 24*b - 2*q - 74 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 + 118. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 79*p**2 + 40*p + 50. Let g be a(-40). Calculate the highest common factor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95221, 190444, 285669, 380896, 476125?\nAnswer: 571356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iibibiiiiiii. Give prob of picking 1 i and 2 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f. Let x be p(1). Let u = 11 + x. Suppose -5*g + 189 = -5*w + u*w, -4*g - w + 141 = 0. Calculate the remainder when 107 is divided by g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 225052?\nAnswer: 1125260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 8, -26 in decreasing order.\nAnswer: 49, 8, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 7:33 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3.1, 15, 4?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.3, -5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5*u = -1, -3*v + 2*u = -0 + 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -296, 524 in decreasing order.\nAnswer: 524, 1, -3, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 25\/4*s**4 + 5\/2*s**2 - 10*s + 5 + 40\/3*s**3. Find r, given that w(r) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 4*p - 10064 = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96248 + -61299. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/(-9) + (-4)\/(-6). Let w(n) = 2*n - 1. Let u be w(c). Suppose -p = f - u, 11 = -5*f - 4. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 13*v**2 + 2*v - 8. Let l(d) = 2*d**2 + d - 2. Let z(f) = -i(f) + 5*l(f). Let m(k) = -k + 1. What is 2*m(c) + z(c)?\nAnswer: -3*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**1))**(-8)\/(((x\/x**(-1\/2))\/x*x)\/(x\/(x\/x**4))))\/((x**0)**(-43)\/(x**1)**31) assuming x is positive.\nAnswer: x**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -78 + 83*h**2 - 41 - 91*h**2 as j + d*h + t*h**2 and give j.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12*(1888\/4248)\/(3\/2)\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3744\/1404)\/(4\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from rwtfsrwsfeerrew.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 4 + 4)*(0 + 0 - 18*u)*(1 - 1 - u).\nAnswer: -54*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**5\/5 + 22*b**4\/5 + 108*b**3\/5 + 202*b**2\/5 + 163*b\/5 + 48\/5 = 0.\nAnswer: -16, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9665 is divided by 3218?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 740246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -15*z - 5*s + 3414, 5*z - 2*s = 16935. Suppose 815 - z = -6*f. Is f a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (9 - (1 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/3 - 2858*r**3 + 94072*r**2\/3.\nAnswer: 2*r**2*(r - 4276)*(r - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*z**4 - 285*z**3 - 1050*z**2 - 245*z = 0. Calculate z.\nAnswer: -7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.153 - -0.15407. Round h to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**3\/((w\/(w**1\/w)*w)\/w))**(4\/7))**13 assuming w is positive.\nAnswer: w**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + (0 - 3))*(-90)\/20?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3193 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i + 166. Let h be q(27). Suppose 5 = 2*p - b, 0 = h*p + p - 3*b - 12. Solve -p*j = -3*u - 5*j - 14, -4*u + 2*j = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001394242 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.7 and -2.0841.\nAnswer: -2.7841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**4\/4 - 5*t**3\/3 - 5*t**2\/2 - t + 3. Let u be f(6). Let a = 2376 + -2372. Solve 17 = -a*z + u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.883t in nanograms?\nAnswer: 159883000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**3 + 5*n**2 - 3*n. Let k be f(1). Let r(u) = 5 - 2*u - 3*u + 6*u. Let g be r(-3). Solve k*j = g + 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 407, 4, 5, -5, -34 in descending order.\nAnswer: 407, 5, 4, -2, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -849275, -1698576, -2547877, -3397178?\n\"Answer: -849301*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1659.51 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2887.1957 + -2887. What is b rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 9*i + 3*y + 143 = 0, 0 = 2*i + 3*y + 59. Let f = i + 59. What is the remainder when 123 is divided by f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3692*g - 3684*g = -16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -223422 less than or equal to -223424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3400) - sqrt(3400) - sqrt(34))\/(-1*sqrt(2)*-2))**2 + (sqrt(136)\/(3*sqrt(8) - sqrt(8)) - (sqrt(17) + -4 + -1))**2.\nAnswer: -5*sqrt(17) + 3807\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49919119 to the power of 1\/2, to the nearest integer?\nAnswer: 7065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-196607.\nAnswer: 2555891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, 0.5, -15 in ascending order.\nAnswer: -15, 0.2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6269 and 17.\nAnswer: -10.6573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94823317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 - (7 + 9 + -11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5780063 or -5780018?\nAnswer: -5780063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5475 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: What is the first derivative of 18560*f**4*p**2 - 23*p**2 - p - 33 wrt f?\nAnswer: 74240*f**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-940)\/705)\/((-12)\/180).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 967 or 594?\nAnswer: 594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3.8359 times -20395\nAnswer: -78233.1805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -61787, -123578, -185371, -247166, -308963, -370762, -432563?\n\"Answer: -w**2 - 61788*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-6)\/(-24))\/((-15)\/18)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 5:39 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 228 = -3*c + 178, -3*c - 8 = 2*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 22*d**2 - 38*d - 37. What is n(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26429 - -1?\nAnswer: 2642a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 8*k**2 - 10*k + 13. Let h be w(9). What is the units digit of -15*-2*2\/h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -3*a + 2, -3*o + 7*o - 4*a = -16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*j**4 + 663552\/7 + 110592\/7*j + 6912\/7*j**2 + 192\/7*j**3.\nAnswer: 2*(j + 24)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 + -47. Suppose 10*i = p + 157. What is the remainder when i is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32083401?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**2 + 59*a*r - 149*r wrt a.\nAnswer: 6*a + 59*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148659044?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 14, 5, -2\/9 in ascending order.\nAnswer: -3, -2\/9, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50508 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 65 + (14 + -3 + -4 - 1) + 1 + -7\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**3\/2 - 14*a**2 + 7*a. Let s be q(6). Let i = 58 + s. What is the greatest common factor of 8 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -60*x + 108. Let a be t(-7). Calculate the remainder when 221 is divided by a\/14 - 7*22\/(-539).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1346 + 5902 = -2*u, 2*g + u = 3632. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 403 - 400. Sort -51, 4\/3, v in increasing order.\nAnswer: -51, 4\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 11881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1456064132 from 4805.\nAnswer: -1456059327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -233, -235, -237, -239?\n\"Answer: -2*f - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-18))\/(-1))\/(4\/(-12)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 152\/104 + 1\/(-1). Let m(k) = k - 4. Let d(t) = t**2 + 8*t - 6. Let p be d(-9). Let z be m(p). Is q less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88375.796 rounded to the nearest one hundred?\nAnswer: 88400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 + -10)\/(2\/(-3)). Let x(k) = -3*k. Let z(p) = p. Determine r*x(v) + 8*z(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10590312841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 845*b**2 - 121*b**2 + 353*b**2 + 328*b**2 to m*b**2 + r + s*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/2)\/((-2)\/228).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1655*-0.6.\nAnswer: -993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15296364483694 - 52?\nAnswer: -15296364483746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/9, -13, -12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 21062\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1253 and 1630153?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 1. Let u(y) = -4*y - 7. Determine u(z) + 5*v(z).\nAnswer: -9*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 3404?\nAnswer: 3412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -324, -1297, -2920, -5193, -8116?\n\"Answer: -325*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 3018216\nAnswer: -3018215.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26116, -26122, -26128?\n\"Answer: -6*w - 26110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14520 - 29*u - 4840 - 4844 + 20*u + 10*u - 4836.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 + 2*m - 1. Calculate t(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 13*f + 732 = 0. Let c = f - -65. Solve 6*a = 4*a - c*x - 4, -x = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + i - 2. Let t be o(-3). Suppose r + t = 5*r. Suppose -3*a + 83*s - 82*s + 18 = 0, 3*s + 18 = 0. Sort r, a, -5.\nAnswer: -5, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + 6*c - 8. Let o be k(-4). Suppose -4*x + 3*x + 253 = o. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83.9 + -86.9. Let u = 1604\/11 - 146. Which is the closest to 0.3? (a) f (b) u (c) -1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 1533, -4\/7, 1\/7, 8, -4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.212657 * 30.\nAnswer: -6.37971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -2d3943?\nAnswer: -2d3941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 199024 - 199006. Let m(o) = o**3 + 6*o**2 + 6*o. Let z be m(-5). What is the closest to 2\/5 in q, 2, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6222*z = 6*j - 13*j + 6224*z + 46, -3*j = 5*z - 8 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -12, -40, -84?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + -1000?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 50*o - 51. Give r(25).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (2 - (-6 - -2))) + -4 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 47463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 226.8203 milligrams?\nAnswer: 226820300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 10)*(-265)\/3710.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-12)*(-4)\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -547434 divided by -17?\nAnswer: 32202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 24 + 12\/2 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 7*k**2 + 12*k + 8. Let r be s(8). Let y be ((0 - r)\/4)\/(3\/(-30)). Calculate the highest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (64\/112)\/(2\/7). Find the third derivative of -6*a**4 - 16*a**b + 35*a**2 - 27*a**2 wrt a.\nAnswer: -144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 7*g - 259. Suppose -3*o = 2*v + g, 3*o + 17 + 10 = 3*v. Let r(s) = -s - 13. Give r(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*v = -97*v - 756. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - m + 5. Let x = 4 + -4. Let g be 1 - -6 - (2 + x). What is the highest common divisor of m and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, -119.86 in decreasing order.\nAnswer: 2, 0.5, -119.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/4 and 9\/1187.\nAnswer: 4748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5849488.\nAnswer: 2, 97, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 504 plus -0.02775?\nAnswer: 503.97225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 3) + (-5 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146615 and 13348?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-15)*21\/28. Put 2\/15, n, -49 in descending order.\nAnswer: 2\/15, n, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) -0.1 (c) -148 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.99 + -0.01. Let u = 1.6 + a. What is the second biggest value in 0, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 880 + -873. What is the remainder when 142 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1886 + 9473\/5. Let l = v + -46\/5. Which is bigger: l or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6393 * -0.079\nAnswer: 505.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 251, 257, 273, 305, 359?\n\"Answer: w**3 - w**2 + 2*w + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*o + 7 + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 26*i**2 - 5 + 32*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/132)\/(((-100)\/28400)\/(3\/(48\/44)))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 40 = -312. Suppose 2*u - 2*y = 46, -3*u + 4*y = -8*u + j. Suppose -4*l + 25 = 5. Solve d = l*d + u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24*8*2\/8. Is 4*-22*2\/v*-267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 44411229?\nAnswer: 44411229.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47819 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59252?\nAnswer: 2, 14813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 + -294. Let o be (-8)\/14 + (-13)\/r. Let n = -0.09 + -4.91. Which is the second smallest value? (a) o (b) -0.6 (c) -2\/3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y + 95*y + 5 - 10.\nAnswer: 87*y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 10166*k**2 + 23752474*k - 11690413362.\nAnswer: -2*(k - 919)**2*(k + 6921)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 226 = -4*b. Suppose 4*t + 4*h = -133 + 5, -138 = 4*t + 2*h. Let k = t - b. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**3 - 3*c**2 - 2. Let f = -4 - -7. Let x = f - 7. Let l(o) = -o**3 + 1. Let u(t) = x*l(t) - 2*b(t). What is the third derivative of u(r) wrt r?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2602 a factor of 629116764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*y - 3*j - 0*j, 490 = -10*j + 550 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247.3442*-0.07.\nAnswer: -17.314094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1241*c**4 + 605*c**4 + 2*c**3 + 634*c**4 + 139*c**2 - 4 - 2*c as k*c + a + s*c**3 + x*c**4 + b*c**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 6*m**2 - 5*m + 5. Let c be f(-5). Let b = c + 7. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -3 + 4 - -2. What is the first derivative of 3*k**4 + 6 + 6*k**t - 2*k**4 - 5*k**4 wrt k?\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 232, 455, 676, 895, 1112, 1327, 1540?\n\"Answer: -a**2 + 226*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141737?\nAnswer: 41, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1840997884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*n + 2*n + 24 = 0, -33 = -4*k + n. Let z(f) = -3*f + f + k*f. Let x(v) = -36*v. Calculate -4*x(q) - 21*z(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 = 3, 3*v + 3*a = -1335. List the prime factors of (v\/36)\/((-1)\/4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -320.57 - -320. Let k = v - 1.43. What is the nearest to k in 0.1, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - t + 6. Calculate the remainder when 27 is divided by r(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2. Let h = 570 + -567. Let o = 2.2 - 2. Which is the nearest to n? (a) -1 (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2345 minus -0.4?\nAnswer: 2345.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 2*r**2 + 6*r + 1. Let j be s(-4). Suppose u = -3*d + 2*d + 5, j = 3*u. Suppose d*a - 4 = 2. Put 2\/9, a, 0.7, -2 in decreasing order.\nAnswer: a, 0.7, 2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1369824 = 3*a + 703156, -2*a = -4*l + 1381980. What is a rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108953 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (846\/(-495) + 2)*20 - 6.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -537b491 (base 12) in base 14?\nAnswer: -21650a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 1. Let j be o(-7). What is the greatest common factor of j and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856011577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -164473?\nAnswer: 16446b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.023? (a) -1\/5 (b) -25 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16758 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9819804 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11020\/1595 + (-89)\/(-11) + -7 + 28*1?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(170) + sqrt(170)*-1) - sqrt(170) - ((2*sqrt(170)*2 - sqrt(170)) + sqrt(170)))\/(-5*5*(sqrt(490) - 6*sqrt(490))).\nAnswer: -sqrt(17)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = x + 2*x. Let d = x + -42. Suppose -33 = -4*f + d. What is the greatest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, u: 2, c: 11}. What is prob of sequence nn?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - k - 6. Let w be q(8). Let b be w\/3 - 4\/6. What is the tens digit of (1*-6)\/2 + b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -100001101?\nAnswer: -100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 551 by 5247.\nAnswer: 551\/5247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-92670 + 92670 - 366*b**3)*(-1 - 1 - 2*b + 16*b + 4*b + 9*b) in the form l + h*b**2 + t*b**3 + i*b**4 + u*b and give t.\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*h + 125*h + 407*h + 649*h + 266*h to o*h + w and give o.\nAnswer: 1392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q**3 + 2*q**2 - 1. Suppose 32*p - 44 = -12. Calculate v(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 754.7409l?\nAnswer: 754740.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, m: 5, z: 2}. Give prob of picking 2 z and 2 j.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 0*w**3 + 0*w - w**4 - 5\/2*w**2 + 3. What is the second derivative of c(f) wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -752262, -752473, -752698, -752943, -753214, -753517, -753858, -754243?\nAnswer: -754678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66358 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344646.8 millimeters to meters.\nAnswer: 344.6468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, -2, 4, -4, 819 in descending order.\nAnswer: 819, 125, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*w - 160*w = 29 + 36 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 1883493\/92 + 1*3\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(343))*-3 - 6*1*sqrt(343) - sqrt(343)*2*3*-6)**2.\nAnswer: 250047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -59 + (-3 - -2)*(6 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148*v**4 + 9842*v**2 + v + 1502253.\nAnswer: -1776*v**2 + 19684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2350676 rounded to the nearest 1000?\nAnswer: -2351000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*h + 12*h - 20*h)*(-1 - 2 + 1).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/6 - f**3\/6.\nAnswer: f**3*(f - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c**3 + 15*c - 2 - 15*c.\nAnswer: -27*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152830 is divided by 345?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 14*k**2 + 13*k. Determine q(15).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 490 + -487. Solve -3*u - 3*v + 14 = -4*v, -p*u + 4*v = -11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -11*b**3 - b**2 + b - 2. Let f be a(-2). Let y be 6\/15*(21 + (-16)\/(-4)). What is the greatest common factor of y and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2260 - 2258. Suppose 3*x = -0*x + 6. Let b(k) = 3*k**x - 4*k**2 - 6*k**l. Let z(t) = -3*t. Give b(z(c)).\nAnswer: -63*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 151234, 302473, 453712, 604951?\n\"Answer: 151239*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 366200*o + 15007476.\nAnswer: 4*(o - 91509)*(o - 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1146 + 2304 + 2025*k - 1158)*(3 - 3 - 2*k) as m*k**2 + l + i*k and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 6*d + 11. Let w(r) = -r + 1. Calculate -h(x) - w(x).\nAnswer: -x**2 + 7*x - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13 + 3 + 7)*4259\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110100 (base 2) to base 9.\nAnswer: -534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6246 - -6249. Put -29, -3, 79, o, 0.3 in decreasing order.\nAnswer: 79, o, 0.3, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3947 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1474592 - 2184801.\nAnswer: -2184800.8525408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0287 - 5.0287. What is the nearest to 0.1 in 1\/8, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11902, -4, 5, 2, 38.\nAnswer: -11902, -4, 2, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvk when four letters picked without replacement from kkvekkvevggeeg.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 5, 43, 16, 14, -120 in descending order.\nAnswer: 43, 16, 14, 5, 4, -3, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = d - 29, 5*f - 167*d + 9 = -77*d - 94*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, n: 2, c: 4}. Give prob of picking 2 n and 2 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83244, -166520, -249796, -333072, -416348, -499624?\nAnswer: -582900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -86*(1 - -1)*10\/(-8). What is u rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/sqrt(4)*-3 + sqrt(44) - (3*sqrt(528))\/sqrt(12))\/((sqrt(4) - (sqrt(4) - -4*sqrt(4)*4)) + (sqrt(576) - -1*sqrt(576) - sqrt(576))).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5395824 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 11220?\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 217414 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -1 - 1 - ((57 - 4) + 88 + -81).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555255934?\nAnswer: 2, 777627967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*t = 21, 2*m + 10 = 7*t - 3*t. Let a be m - 6*2\/(-4). Calculate the greatest common factor of a and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-15 - (-7 - 8337\/(-105))*3\/(-6)).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117.7 - 2.7. Let x = d - 114.87. Sort 1, 0.1, x, -2\/17.\nAnswer: -2\/17, 0.1, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*f + 3*f + 700. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)*1*1)\/(sqrt(192) - (sqrt(192) - 1*sqrt(192))) + ((sqrt(168)*1 + sqrt(168))\/sqrt(6))\/(sqrt(4)*-2*-4).\nAnswer: 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 + 64 - 178*c - 129.\nAnswer: -178*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5 - (-1 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 566 = 2*w + 203, 0 = -2*z + w + 746. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**3 - 5*p**2 - 150*p = 0. Calculate p.\nAnswer: -5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (3\/(-3) - (-7)\/(-14)*-122) + 6 and 330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 m when four letters picked without replacement from {a: 5, m: 5, l: 1, p: 3, v: 2}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.2 (c) 2\/11 (d) -129378 (e) 1\/25 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6633, -6583, -6569, -6609, -6721?\n\"Answer: -3*l**3 + 71*l - 6701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -9*z**2 + 5*z + 7. Let v(l) = 14*l**2 - 8*l - 11. Suppose -4 + 20 = -2*w - 3*i, w - 2*i + 1 = 0. Calculate w*v(g) - 8*t(g).\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 - -726.514?\nAnswer: 727.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107573627*p**4 - 26742482*p.\nAnswer: -1290883524*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 56*j**2 - 215*j + 10. Let d be 1 - (-51)\/(-45) - (-1070)\/150. Is c(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 25.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4090000 rounded to the nearest one hundred thousand?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 12*y**2 + y + 21. What is o(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.3+-748486298621\nAnswer: -748486298623.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2, 2, -5 in descending order.\nAnswer: 2, -2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13614 - 13253. Put u, 0, 5 in decreasing order.\nAnswer: u, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 9*g**3 - 4*g**3 - 3*g**2 + (4*g**2 - 11*g**2 + 0*g**2)*(0 + 2*g + 0).\nAnswer: -9*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -48. Let f = -46 + q. Let j be (f - 4\/3)*12. Solve -2*z = -j - 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 7:33 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 1, i: 1}. What is prob of sequence iiq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 512 + 5888 = 0. Round j to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 14*t**2 - 12*t - 21. Suppose -2*x + 39 = -3*f, 2 = -f - 1. Let o be q(x). Solve 5*z - a + o = -0*a, -4*z - 17 = -3*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s + 1. Let t(v) = 11*v - 247. Let c(z) = 12*z - 146. Let p be c(14). Let u be t(p). Let l(q) = -7*q - 1. Give u*y(b) - 4*l(b).\nAnswer: -7*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x. Let l(q) = 2*q**2 - 220776*q. Determine k(l(s)).\nAnswer: 12*s**2 - 1324656*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1601*m*w**2*y + 21*w**2*y - 6*w**2 wrt m?\nAnswer: -1601*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247\/(-57) + -1 + (-66)\/(-36).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 572\/3 or 190?\nAnswer: 572\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78680 and 640640.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, -0.2, 55?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**6\/3 - g**2 - 11. Find the second derivative of q(o) wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 3)*(3*r**3 + 0*r**3 - 4*r**3) + 2 - 2 - 6*r**3 - 1058*r**3 + 920*r**2 - 920*r**2 to the form p*r**2 + t + a*r + d*r**3 and give d.\nAnswer: -1066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 2*t**2 + 4*t**2)*(2*t**2 + t**2 + 0*t**2).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 - 15)*(-6 + 1 + 3) + 4 - 3 - 3 + (4 + 0 - 3)*(1 - 1 - 2) + 0 - 3 + 4)*((-2*x + 0 + 0)*(1 - 4 - 2) + 5*x + 0*x - 3*x).\nAnswer: 372*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 11\/(-9) - (-32)\/36\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 24 + 7*a + 3*a - 56 + 45. Suppose -4*c + 3 + 49 = 0. Let t(f) = -5*f - 6. Determine c*t(q) + 6*g(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -12*f**2 - 3*f - 1. Let r be z(-1). Let x be (-4)\/10 - 4\/r. Suppose x = c - 4*v - 60, -128 = -2*c - v + 5*v. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 14*a + 10. Let f = -240 + 226. What is the least common multiple of 15 and p(f)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 489\/35 - 72\/5. Suppose -19*q + 23*q = 20. Suppose s = -q*r - 4, s - r = r + 3. Are i and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 5*i**2 + 6*i + 5. Let x be w(-6). Suppose 12*u = 4*m + 10*u + 2, 4*m + 5*u = 5. Solve -4*v - 3 - x = m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**5 - 2*l**5 + 5*l**5 + (186 - 186 - 9*l**4)*(3 + 0*l - 2*l + l).\nAnswer: 8*l**5 - 27*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, e: 1, u: 3, i: 1, x: 1}. Give prob of picking 1 i and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1806459759?\nAnswer: 3, 13, 149, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -13*c**2\/2 - 1038. Let n(i) = -86*i + 1. Determine l(n(r)).\nAnswer: 1118*r - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**15\/r)\/r)\/r*r)\/r*r**(-16) assuming r is positive.\nAnswer: r**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 - 184\/5. Let j = 1234.5 + -1235.5. Let l = -0.01 - -0.15. Which is the nearest to j? (a) 3 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -14 + 2 - -12 - (3 - 12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*y - 26 + 26)*(6 - 3 - 2)*(16 + 3 - 1) to x + o*y and give o.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -3*g**2\/2 + 17*g - 13. Let w(r) = -2*r + 11. Let i(z) = 7*w(z) - 5*y(z). Suppose 6 = 5*v - 34. Calculate i(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 2*y - 1. Let d be (1 + -6)*(-18)\/45. Suppose -2*h + 4*p + 2 = 0, 6*p + 5 = h + d*p. Give j(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - -0.168. Let c = -0.998 + w. Let d = c - -0.900176. What is d rounded to five dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -130 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7825838, -7825862, -7825900, -7825952, -7826018, -7826098, -7826192?\nAnswer: -7826300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711177861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 7*u = 1485. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5587\/6 + -55549\/60. Find the common denominator of -59\/10 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15, 5, -13, -45, -97, -175, -285?\n\"Answer: -g**3 + 2*g**2 - 9*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2. Let k(j) = -243*j. Determine w(k(f)).\nAnswer: 59049*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123172497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 7*a**2 - 5*a - 4. Let p be v(6). Let d(t) = 9*t - 2*t - p*t. Let c be d(2). Is 10 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**4*o + 2068304*k**4 - 13*k**3*o**2 - k**2*o**2 - 5*k**2*o + 15*k*o**2 - 715*k - 3 wrt k.\nAnswer: 48*k*o + 49639296*k - 78*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12\/7, 5, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -12 - -5 - 16 - (-10 - 1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 309305254 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 + 705698*w\/3 - 705704.\nAnswer: 2*(w - 3)*(w + 352852)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -37*r - 102. What is u(-2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 504 = 7*m - 2*z, 5*z = -5*m + 1250. Let b = m - 155. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 196, 821, 1850, 3277, 5096, 7301, 9886, 12845?\n\"Answer: -x**3 + 208*x**2 + 8*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113.8 - 118.8. What is the closest to 0 in u, 3, -2\/51, -4?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10017 divided by 9?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/768400805?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**5\/20 - 3*z**4\/4 - 3*z**3 + 17*z**2\/2 + 32*z. What is the tens digit of i(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*x - 920 + 1726 - 885 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 - 36. Which is bigger: 59 or k?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/(-1131))\/(1\/(3\/(-1))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -252*y**5 - 432*y**2.\nAnswer: -15120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224 - -210 - (-15 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 0. What is the closest to f in -5, 5, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25455 * -0.126.\nAnswer: 3207.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-3717)\/(-193284))\/((-1)\/871)\nAnswer: -67\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139569021?\nAnswer: 3, 467, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = -24*p - 5*h + 2, -5*p + h = -14. Let n = -19 - -22. Solve 0 = 3*f - 5*g + 37, f + p*g - 14 = -n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqa when three letters picked without replacement from {t: 3, a: 4, q: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -5, 9, 41, 97, 183, 305, 469?\n\"Answer: a**3 - 5*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + 2*r**3 + 0*r**3)*(-4 - 2 + 2).\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 2*p**2 + 7*p + 15. Let c be d(-3). Suppose -2*f + 0 = -3*n - 2, n - 3 = -c*f. What is the second smallest value in n, -0.2, 0.3, -13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3*n + 5*f - 21, f = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2. Let n(t) = -41418017 + 41418017 + 3180*t**2. Calculate y(n(q)).\nAnswer: 10112400*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2. Let x(d) be the first derivative of -2*d**3\/3 - 19. What is j(x(z))?\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -409 + 603. What is the remainder when d is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/102 and 41\/18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 192837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - y + 1. Let i(h) = -2*h**2 - 3*h - 8. Let n(b) = -523*b - 5231. Let m be n(-10). Give m*i(o) + 4*d(o).\nAnswer: -2*o**2 - o + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-1) + (-4 - -1 - 0). Suppose q = -2*a + 299. Calculate the greatest common divisor of a and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2326 + -2061. Calculate the remainder when 2657 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2 = 22. What is the least common multiple of t and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -w - 30 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52189, 52398, 52747, 53236, 53865, 54634, 55543?\nAnswer: 56592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 423755, 423756, 423757, 423758, 423759?\n\"Answer: g + 423754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/207600 and -149\/51900?\nAnswer: 207600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -138, 2, -1\/2 in ascending order.\nAnswer: -138, -1\/2, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96881096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + q - 154001 = 0, 7*b = 4*b - 4*q + 115504. Round b to the nearest 1000.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -7*d + 3. Let r(w) = -w - 3 + 2*w + 4 - 3. Let h(p) = -2*p + 5. Let a(v) = 2*h(v) + 5*r(v). Let q(l) = -5*l + 1. Give d*q(o) + 4*a(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quqcsrcrqrqqqrecr. Give prob of picking 1 q, 2 r, and 1 s.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 58b72a1?\nAnswer: 58b729b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 476285723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, -5, 3, -4 in decreasing order.\nAnswer: 127, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12\/10*15\/2*(-176)\/264\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -134.22 - -130.22. Let n = 160\/3 - 54. Which is the fourth biggest value? (a) 0.4 (b) 6 (c) y (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*k - 77 = -0*k, 1 = -k. What is the highest common factor of 30 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 136*d - 8821. Determine j(66).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*c = -23, 0 = -0*j - j + 5*c + 23. Suppose -m = h + 28, 3*m - 4*h = j*m + 144. Let r = m + 67. What is the highest common factor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*k - 450 = 36*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:30 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*h + 53*h + 17*h)*(2 + 0 + 0).\nAnswer: 168*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3*r = -5*a + 10, 2923*a + 2*r + 14 = 2927*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 737683432 and 6296.\nAnswer: 6296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/n)**(-4\/13)*(n*n**(-1\/3)\/n)**9*(n\/n**0)**(-9\/5)\/(n**(-1\/10)\/(n*n**(3\/7)*n*n)) assuming n is positive.\nAnswer: n**(-877\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-5 - -1 - -12) - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, r: 4}. Give prob of picking 4 r.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7349 divide 2494328356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 0.09, -4.3, 0.5, -4\/13?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - w + 857 = 847, -5*t + 3*w = 30 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 72*k - 7. Let x(q) = -144*q + 12. Calculate 7*u(b) + 4*x(b).\nAnswer: -72*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1592 >= -1593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2, 4, -1\/6 in ascending order.\nAnswer: -2, -1\/6, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = c - 8, 2*d = -d + 3*c. Let g(p) = p**3 + 7*p**2 - p - 2. Let f = 3 - 10. Let j be g(f). Solve -4*y = -n + 11, d = -j*y - 3*n + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19316, -19358, -19302, -19100, -18704, -18066, -17138, -15872?\n\"Answer: 8*f**3 + f**2 - 101*f - 19224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 131 = 5*f. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3 + (-4 + 5 + 0)*(4 + 0 - 3) + 2 + 0 - 4 - 7 - 5 + 22)*(4*s**5 + 0*s**5 - 5*s**5).\nAnswer: -8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.104 - 0.296. Suppose 5*o + 8 = -12. Which is the second smallest value? (a) t (b) o (c) -2\/11 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -32*t - 111. What is the remainder when 160 is divided by j(-6)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeknkjkeeejankee. What is prob of picking 1 n and 2 j?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 183 - 179. Factor 0 + 4\/3*z**3 + 14\/3*z**b + 0*z**2 + 0*z.\nAnswer: 2*z**3*(7*z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32269432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -3.5. Put n, -8, 6, 2 in decreasing order.\nAnswer: 6, 2, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2732 - 488 = 17*u. Let n = -125 + u. Solve 5*r = -5*h + h + 31, -4*h + 3*r = -n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -4*a + 2 - 0, 2*a + 61 = -25*g - 0*a - 191 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s + 7*s**2 - 2*s + 7*s - 1. Let l be k(1). Let b = 5 - l. Is b at most -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = b - 52, -2*b - 14*h + 15*h = -113. What are the prime factors of b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -24 (c) -1\/3 (d) 3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1324, -2648, -3972, -5296?\nAnswer: -6620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*q + 8. Suppose -j - 171 = 2*u, -35*u - 345 = -31*u - j. Is q\/8*-6*u\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 768078783?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhnn. What is prob of sequence nhn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20, 612, 6, 0.5?\nAnswer: 612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271 = 2*g + 9*h - 209, -2*g - 4*h - 52 = 0 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608 + 421 = 218*z - 933 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(425) - (-1 + sqrt(425))) + sqrt(17)*-2 + 4 + sqrt(17) + 5)*-5)**2*-5.\nAnswer: -14625 + 2500*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 27*c + 221. Let q be j(-8). Suppose 2*s = -q*n - 18, 11*s = -n + 10*s - 6. Sort n, -5, 0.5, 72.\nAnswer: -5, n, 0.5, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 940999, 1882005, 2823011?\n\"Answer: 941006*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 32*i - 10. Calculate y(-3).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*o**3*y**2 + 14*a**2*o**3*y + 8*a**2*y**2 + 2*a**2*y + 3*o**3*y**2 + o**3 wrt y?\nAnswer: 2*a**2*o**3 + 16*a**2 + 6*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1244 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43389032.\nAnswer: 2, 17, 319037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1682938*h = -1682942*h - g + 1, -4*h + 421 = -59*g for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8560 - 8562. Let u = -1.1 - -1.2. What is the smallest value in 95, 0, u, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**4 + 465*g**3 - 965*g**2 - 1425*g = 0. Calculate g.\nAnswer: -95, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270 divided by -45.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 12, 30*b + 35*i - 63 - 72 = 35*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 93*a**3 + 3*a**2 - 3*a + 4. What is the hundreds digit of u(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/9, -0.026, -1, 53?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 - 67. Let y(u) = -u**2 - 11*u - 9. Calculate y(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*1\/(-4))\/((-1)\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8950 and 28550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37, 86, 145, 220, 317, 442, 601?\n\"Answer: s**3 - s**2 + 45*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 20.3. Let w = 2.14 - y. Let a = -3.16 - w. Round a to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 225*u + 3349. Determine s(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16299191, -32598383, -48897571, -65196755?\n\"Answer: 2*v**2 - 16299198*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 2*g + 3 = 0, 240876*w - 5*g - 40 = 240875*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7950513?\nAnswer: 3, 313, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -274*1377\nAnswer: -377298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*y + y - 90, -3*x + 75 = 2*y. Let n = y + -29. Suppose -2*w - n = -4*w. Is -0.4 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.78 + 0.02. Let f = 14.2 + n. Let v = f + -20. Which is the closest to -1\/2? (a) v (b) -2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 4*n**2 - 10*n**2)*(-2 - 3 - 1) + 0*n**2 - n**2 - 3*n**2.\nAnswer: 50*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 2*h**2 - 756*h - 733. Give o(29).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486 = 411*z - 249*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -3. Let p(a) = 2 - b + 4*a + 7*a + 0. Let v(o) = -5 + 3 - 4*o + 4. Determine -3*p(d) - 8*v(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.443206 rounded to 2 dps?\nAnswer: -4.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.5, 25, -129055, 5 in ascending order.\nAnswer: -129055, 0.5, 2, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 4, s: 7}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1549*f**3 - 4*f**2 - 13*f - 12. Let k be c(-1). Let b = k + 1552. Factor 8\/7*o**3 - 2\/7*o + b + 6\/7*o**2.\nAnswer: 2*o*(o + 1)*(4*o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*i, i = -3*u - 0*i + 89. What is the greatest common factor of 90 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*y**3 - 22*y**3 + 34*y**3.\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_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: Let n = 0.76 - 0.66. Let g = -52 + 209\/4. Put -0.1, n, g in decreasing order.\nAnswer: g, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*c - t, -4*t + 15 = 3. Sort c, -15, -1.\nAnswer: -15, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*f. Let z = 3.937 + 0.063. Let d = 3.5 + -3. Which is the nearest to f? (a) 5 (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/13 + 22\/91. Let b = 0.3 - 1.3. Let j = b - 1. What is the nearest to -1 in j, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*o**2*x**2 - 20096*o**2*x + o**2 + 2*o*x**2 + 8*o*x - o - 193*x**2 - 157*x wrt o?\nAnswer: 32*x**2 - 40192*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 576, 2284, 5126, 9102, 14212, 20456, 27834?\n\"Answer: 567*q**2 + 7*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + (sqrt(119) + 1*sqrt(119))*-4)*2)\/(sqrt(63)\/sqrt(81) - sqrt(35)\/(sqrt(15)\/sqrt(3))).\nAnswer: 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91187921 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/2 or 783351?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, y: 2, k: 1, e: 1, z: 1, o: 2}. Give prob of sequence emzy.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 25 = 3*l, 218*l + 43 = -219*l + 432*l + 2*w - 17 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -1 - (11 + -8 - -5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 881 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7753 and 1464?\nAnswer: -11350392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 8*x - 4*x = 8577, 0 = 2*p - 7*x - 5747. Let t = -597 - -193. Let y = p + t. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 0.6488393166078.\nAnswer: 0.7488393166078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 2:56 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.32 + 0.12. Let w = 47.7 - 48. Let l = m + w. Which is the second biggest value? (a) -2\/5 (b) l (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = o + 32, 0 = -c + 5*o - o - 4. Calculate the remainder when c is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -17 - 4\/3*f**3 + 0*f**5 + 0*f**4 - f**2 + 0*f + 4*f**6. Find the third derivative of a(r) wrt r.\nAnswer: 1440*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 41*n**2 + 0*n + 16 - n + n + 7*n. Let u be x(-11). What is u rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0.2. Let g = -535\/1897 - 1\/271. Which is the third smallest value? (a) m (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 19*m - 34 = 0. Sort m, 2, -21, -5.\nAnswer: -21, -5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/6 + (-2)\/3 - 16. Is (-7)\/(k\/4) + 1115 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2337199, 2337191, 2337171, 2337133, 2337071, 2336979, 2336851, 2336681?\n\"Answer: -d**3 - d + 2337201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 460*s**2. Let d(l) = 174*l**2. Calculate d(i(h)).\nAnswer: 36818400*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 91759, 183541, 275343, 367165?\n\"Answer: 10*z**2 + 91752*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 8*l**2 + 31*l + 25. Let j be r(11). Suppose -3*v + 12 = -3*y, -j*v + 5*y - 7*y + 7 = 0. Let s(o) = -o**3 + 7*o**2 - o - 4. What is s(v)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 965*k**3 + 934 - 934.\nAnswer: 965*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 865, 1354, 1853, 2368, 2905, 3470?\nAnswer: 4069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - 17. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 110553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100*h**5 - 555*h**3 - 1476*h - 4.\nAnswer: 2000*h**3 - 3330*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 2. Let p be d(6). Let n = p + -18. Suppose 3*t - 2*t = 4*v - 150, n = -t. Calculate the remainder when 144 is divided by v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -20 (b) -2\/19 (c) 10 (d) -3 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 7. Suppose 0 = n - 4 - 6. Let i be t(n). Suppose 54 = i*b - 117. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23e - 43?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o - 50. Determine a(0).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17, 83, 249, 563, 1073, 1827?\n\"Answer: 8*n**3 + 2*n**2 + 4*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40553.17 tonnes to nanograms.\nAnswer: 40553170000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 11:11 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 719*j**2 - 1445*j**2 + 718*j**2.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 145063 - 145701.53. Let v = b - -634. Let x = v - -4.5299587. What is x rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3562544019?\nAnswer: 3, 1481, 801833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 961*k - 480506. What is b(500)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 24 = -3*z - 77, 0 = 2*z - 2. Let t = 83 - f. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 52, 73, 94, 115, 136?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 379 - -33201011.\nAnswer: 33201390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2493 - 533. Suppose -41*i = -36*i - c. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 249084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3919280 (base 10) to base 5\nAnswer: 2000404110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = -4*h + 2270 - 2258, j = -h + 13 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 5*u - 11*u + (4 - 1 - 2)*(-u + u + 2*u) + u - u - u + u + 0 + 0 in the form r + x*u and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-2 - 1)) + 16 + -14 + -19?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -37. Suppose p + 3 = 5*v. Let i = 4 - 2. Solve 10 = f - 0*c + v*c, i = c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -332 + 334. Let s be 3 + f + 2 + (1 - -7). Which is greater: 13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8310 - -10401. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1960 and 3710?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34744219 and 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 4 = -2*o. Let d = 15 + o. Suppose -3*k + 2*g - d*g - 28 = 0, -20 = 5*g. Sort k, 2, 0.1 in increasing order.\nAnswer: k, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 3)*(4*h**2 - 4*h**2 + h**2) + 24*h**2 - 21*h**2 + 17*h**2 + 27*h**2.\nAnswer: 53*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 4 (c) -1608 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 8. Let a = 0.16 - 0.2. Let u = 0.34 + a. What is the third smallest value in k, -3\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2 + 18\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80453 and 29275537?\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/403)\/(43\/(-22661))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 998626000 to the nearest 1000000.\nAnswer: 999000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -23212?\nAnswer: -23213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from obmbb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -24. Let n = 7 - -1. Calculate the least common multiple of n and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**2\/7 + 11561*v\/7 - 57905\/7 = 0. Calculate v.\nAnswer: -11581\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 528 + -558. Put -5, 2, n in decreasing order.\nAnswer: 2, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2677 is divided by 610?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001325159006 to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11435508 to the power of 1\/2, to the nearest integer?\nAnswer: 3382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2. Suppose 4*g + 16 = 2*n, 2*n + 5*g = -2*n - 20. Suppose 3*a - 2*o = -n*o + 45, 0 = -2*a - o + 37. Let i(k) = 13*k - 10*k + a*k. What is u(i(p))?\nAnswer: 400*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: Express -2*m**2 - 2*m**2 - 28*m**2 as s*m + n*m**2 + k and give n.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (16\/(-32))\/((-1)\/404366) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1935?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2551 + -2317. Calculate the greatest common divisor of f and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 4*t + 3. Let w(m) = -2*m**2 + 8*m - 7. Let u(c) = 7*g(c) + 3*w(c). Let z be u(-3). Let l be (-3 - -5)*-1 + 1 + 6. Solve -z + l = -4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200481336 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**2)\/(v\/(v\/(v**(-3\/10)\/v*v))*v) assuming v is positive.\nAnswer: v**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 1:30 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*i**2 + 43*i**2 - 2*i**2)*(-9 + 48 - 7) to l*i**2 + o + y*i and give l.\nAnswer: 1888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**6\/240 - j**5\/20 + 7*j**4\/48 - 42*j**2 + 94. Let m(c) be the second derivative of i(c). Factor m(o).\nAnswer: -o*(o - 1)*(o + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8642.\nAnswer: 2, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.7 - 69.4. Let f = r - -48.6. Let h = f - 14.8999661. What is h rounded to 6 decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7957.2 - -7958. What is the closest to -42 in 1, h, -1, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from xtyftfrr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itk when three letters picked without replacement from {i: 1, h: 13, k: 1, l: 2, t: 3}.\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60802 and 250432?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -33.32, 2\/19 in ascending order.\nAnswer: -33.32, -0.4, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1747 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of -4 + ((-1)\/3)\/(18\/(-28404))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*k + 132. Calculate the remainder when k is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29075937 times 4?\nAnswer: 116303748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 33.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 23*b - 6. Let m be c(11). Suppose 3*f = m*l + 1862, 4*f - l - 2821 + 310 = 0. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 107520.9706 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44204 divided by -4.\nAnswer: -11051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297, 523, 667, 687, 541, 187?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-72) - 19\/4. Let j(n) = -23*n**3 - 5*n + 5. Let z(a) be the second derivative of -57*a**5\/20 - 2*a**3 + 6*a**2 - 10*a. Calculate u*z(f) + 12*j(f).\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-3\/35)*r*r*r**35)\/(r**(10\/9))**(-10) assuming r is positive.\nAnswer: r**(15443\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - -1. Let y(z) = t*z**2 - z - 9*z**2 - z**3 - 14*z**2 - 3. Determine y(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(130)\/sqrt(5))\/sqrt(2) + -5*(sqrt(1300) - -1*sqrt(1300)) + -3.\nAnswer: -103*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - w - 1510. Let z be a(-27). Let d be 9\/(-12)*(-9 - -5). Sort z, -2, d in decreasing order.\nAnswer: d, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(3*y - 2*y + 0*y) - y + y + 2*y + 49*y - 85*y + 42*y + (y + 3*y - 5*y)*(1 + 0 - 2)*(4 - 3 - 3).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (12 + (-990)\/22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 - 5*k**2 + 2*k**2)*(3 + 260*k + 465*k + 58*k) in the form x*k + p*k**3 + u + t*k**2 and give p.\nAnswer: -1566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 6 - 16 + 22.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2014 + 649.5014. Let c = q - 562. Let p = 81 - c. What is p rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (24\/1 + 0)*54\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - -3) + 22 + -33 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/720 - g**5\/120 + g**4\/3 - 2*g**2. Let p(d) be the second derivative of w(d). Determine p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3147884.\nAnswer: 2, 786971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 - 4*y. Let l be k(-1). Let j(i) = 4334*i - l - 4328*i + 0. Give j(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2169556?\nAnswer: 2, 41, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69300 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 187574654 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u - 2. Let s(p) = -p + 16. Let h be s(17). Let v be z(h). Let g(b) = -b + 8. Calculate g(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11502 - -16?\nAnswer: 11518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + -36. Suppose 3*t + 48 = 5*q + p, -14 = -q + 2*t. Put -2, 2, q, 0 in descending order.\nAnswer: q, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39947 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 + r. Calculate c(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n - 5. Let b be t(6). Let p(z) = -b - 3 + 4 - z**2. Give p(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u - 7. Let d be n(-12). Let l = -2331\/46 + 280\/23. Calculate the common denominator of (18\/12)\/((-9)\/d) and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 3. Let b be v(6). Suppose 6*u = b*u + 24. Suppose 0 = 7*l - 3*l - u. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-9)\/12)\/((-9)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 7. Determine d(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-1\/3)*h)*h**(-2\/3)*h*h)\/(h*h*h**(-9)*h**5) assuming h is positive.\nAnswer: h**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 238692751?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r*r**(-3\/2))*r*r\/(r\/r**(-3\/8))*r**(-8)*r*r**6*r assuming r is positive.\nAnswer: r**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6320, 73\/9, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -2*j - 12. Suppose 2*a - 7 - j = 0. Suppose -2*z - 14 = -4*s, 8*s - 13*s - 5*z + 10 = 0. Solve i - a*u + 13 = 0, -2*i - s*u = -23 + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 146 - 144. Let b(g) = -g**2 + z*g**2 - 2 + g**2 + 0*g**2. Suppose 3*n + 6 = n. Give b(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14632 = -653*b - 822*b - 16343 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -742*p + 591. Give q(5).\nAnswer: -3119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 3*l**2 + 2 - 4*l**4 + 0 + 0*l - 1 + 3*l**4 in the form v*l**3 + n*l**4 + t*l**2 + m + q*l and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, y: 7, p: 3, x: 2}. What is prob of picking 1 x and 1 y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**5\/120 - u**4\/24 + 9*u**2\/2 - 2*u. Let c(i) be the first derivative of s(i). Factor c(n).\nAnswer: -n*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/291 - 1760\/2037. Let u = -42.4 + 46. Let g = u - -0.4. Which is the second biggest value? (a) -0.3 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-432)\/(-120)*120\/(-72)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.137 minus 8.75?\nAnswer: -8.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-15))\/((-21)\/9). Which is the second biggest value? (a) -2\/3 (b) 32 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403368, 806758, 1210218, 1613754, 2017372?\nAnswer: 2421078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 194799.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2 - 22428*g + 67311 = 0. What is g?\nAnswer: -7479, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1370*l + 52320 = -280*l for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.801 + 2.049. Which is the closest to t? (a) 0.5 (b) 0.3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54.44608 * -0.3.\nAnswer: -16.333824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (10\/208*904\/1130)\/((78\/(-72))\/13)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, u: 3, e: 4, i: 7, p: 2}. Give prob of picking 3 u.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64854.\nAnswer: 2, 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -891, -2021, -3603, -5637?\nAnswer: -8123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38349659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -767 - -10*-2*(-4)\/16. Suppose -5*g = -4*k - 3*g - 1780, 0 = 4*k - g + 1776. Let j = k - p. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2. Let m(u) be the third derivative of -u**4\/24 - 2*u**2. What is h(m(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8415941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 112083818111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124448, -248872, -373236, -497522, -621712, -745788, -869732?\nAnswer: -993526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4*r - 6, 3*a + 9*r - 4*r - 33 = 0. Suppose -a*q + 8*q - 150 = 0. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -928, -1039, -1352, -1969, -2992, -4523, -6664?\n\"Answer: -17*n**3 + n**2 + 5*n - 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/(-45) - 1888\/4720.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10116 divided by 6.\nAnswer: -1686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, x: 8, e: 4}. Give prob of picking 3 x.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f + 6. Suppose 20 = -2*r + 6*r. What is the units digit of h(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*g - 3. Let h = 8 - g. Solve 0*m - 15 = -h*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110000001 (base 2) to base 9.\nAnswer: -1835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bb - -6?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1086 = -9273. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 7. Let h(c) = -2*c - 48. Let j be h(-24). Suppose -8*r + 48 = -j*r. What is the lowest common multiple of r and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 5, w: 1, i: 3}. What is prob of sequence iwe?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40b1 + -26b?\nAnswer: -4360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 110207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 137073379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 l when three letters picked without replacement from {t: 2, x: 5, l: 9}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a - 48. Let f(u) = -4*u + 48. Let g(n) = 6*f(n) + 5*l(n). Let h be g(12). What is the greatest common divisor of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-63) - ((-23)\/99 - -1)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 69*n - 2 - 34*n - 37*n. Calculate v(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + -5 + (0 - 0). Solve -n = x - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1357*l**3 - 2*l**2 - 47*l + 383137 wrt l?\nAnswer: 4071*l**2 - 4*l - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -58. Suppose 4*z - c - 2 = -1, 3*c = -3*z - 3. Suppose -2*t + z*p + 2*p = 0, 5*t - j*p = 12. Is t bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5 - -1 - (103095\/(-25620) + 10) and -99\/40.\nAnswer: 17080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 1 = h, 1324 = -11*h - c + 1273 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231.89226 milliseconds to minutes.\nAnswer: 0.003864871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -a + 3, -5*a + 0*a = 3*n + 37 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8a8383 (base 13) to base 5\nAnswer: -1314233034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*x + 7*x - 3081. What is the remainder when 300 is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-4)*(-108)\/54.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 - 39. Factor -32*o + 6*o**2 + 51*o - q*o - 2*o**3.\nAnswer: -2*o*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -769 - -778. What is the remainder when 348 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*((k*k**(1\/6)*k)\/k)\/k)\/k*k)\/k*k*k*k**10*k\/(k*((k\/k**(-2\/5))\/k)\/k*k*k)*k**(-9) assuming k is positive.\nAnswer: k**(53\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.18 or 6\/281?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54084.\nAnswer: 2, 3, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4 + 17 - 5 + 5*y - y. Let f(v) = v + 1. Suppose -37 = -w - 0*w. Let c = w + -38. Calculate c*m(g) + 5*f(g).\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(1377) + (-2*sqrt(1377) + -1 - sqrt(1377))) + 4*(-3 + sqrt(1377) + sqrt(1377)) + sqrt(1377) + sqrt(1377) + -3 + 2)**2.\nAnswer: 684*sqrt(17) + 5869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*f**2 - 2284911*f - 49672.\nAnswer: (f - 49672)*(46*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -995b89 (base 13) to base 11.\nAnswer: -2047532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1228129, 1228127, 1228123, 1228117, 1228109, 1228099, 1228087?\n\"Answer: -y**2 + y + 1228129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - -5 - (1 + 11) - 12\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2529548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**4\/4 - 6*h**3 - 3*h**2 + 24*h + 15. What are the prime factors of p(-18)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q + 0*q)*(3 + 2 + 1)*(5*q + 6*q - 4*q).\nAnswer: 84*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 1238*x - 1247*x - 60 = 0, x + 34 = 5*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.29 * 22\nAnswer: 6.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/10093782 and -45\/23552158?\nAnswer: 70656474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48.5 + 39. What is h rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-13)*z**(-1\/16)*(z\/(z\/(z\/(z*z**(-1\/5)*z))))**(-1\/7) assuming z is positive.\nAnswer: z**(-7251\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*f = 5*h - 10, 0 = -5*h + f + 10. Let t(l) = 5*l - 2. Let z be t(6). Suppose 2*n - h*s = z, 4*s + 22 = n - s. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 11:50 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -484 - 3*u**2 + 5*u**2 - 5*u**2 - 2*u**2 + 6*u**2 to the form r*u + f*u**2 + d and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -29*l**3 - 5. Let z(g) = -15*g**3 - 3. Let x(b) = -4*w(b) + 7*z(b). What is the least common multiple of 14 and x(1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**7)**5 assuming q is positive.\nAnswer: q**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 9*t**2 + 6*t - 3685 - t + 3687 - 8*t**2. Suppose -2*n - 2*n - 24 = 0. Determine x(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and -1*(6 - (7 - -26)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2778360 and 17\/10?\nAnswer: 2778360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (sqrt(153) - (-4 + sqrt(153) + -1)) - sqrt(153) - -5*sqrt(153)*1) + (1*sqrt(153) + 3 - (4 + 2*sqrt(153) + sqrt(153))) + -5 + -1)**2.\nAnswer: -216*sqrt(17) + 1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 2*c + 14, 1367*b - 1364*b + 3*c = -9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o**2 + 138*o - 50. Let y be u(17). Solve -574*b = -y*b - 96 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*a - i - 12, 0 = -a - 3*i - 12. Suppose q + 2*j + 528 = a, 4*j = 3*q + 2*j + 1584. What is the least common multiple of 8 and (-4)\/7 + q\/(-42)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 22*k**2 - 12*k + 679. Give i(21).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 17 + -8 + 19\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*d**2 - 67*d**2 - d**3 + 144*d**2.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 3*a + 60 + 53, 2*x + 2*a = 50. Calculate the remainder when 273 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**4\/5 + 99*x**3\/5 + 138*x**2 - 792*x\/5 = 0. Calculate x.\nAnswer: -22, -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60820766363\/210982530 + 978676\/3355. Let c = -6\/10481 - v. Find the common denominator of 11\/6 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 1)\/((-27)\/(-891)). Let d = 38 - h. Suppose -5*c + d*y - 20 = -10*c, 5*c + 4*y = 16. Solve -2*l - l - 3 = c, -4*z - 1 = 5*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*n - 27, -4*n - n = 2*w - 17. Let c be w\/((-9)\/3 + 1). Does 10 divide 1*(-60)\/c*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -71525429 and 876.\nAnswer: -71524553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2492)\/660 - (-6)\/(-45) and -1 + 0 + (-183)\/(-24).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51067, -102138, -153209, -204280, -255351, -306422?\nAnswer: -357493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -33 + 12 - (-63 - -15)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fj when two letters picked without replacement from yyjjjjyvfvfvyyvvvjv?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*c + 23. Suppose -c*t = -3*t - 72. Suppose -k = -t + 2. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -17*x - 3. Let j(n) = 6*n + 1. Give -2*a(v) - 7*j(v).\nAnswer: -8*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.60419419 to 3 dps.\nAnswer: 123.604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + -6 - ((-31 - 27) + 70).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.973 plus -4?\nAnswer: -86.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467222 is divided by 11977.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163300692 divided by -5.\nAnswer: -163300692\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 230\/3 + -76. Let k = 1.639 - -0.361. Let t = -3 - 1. Which is the smallest value? (a) k (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 261 + 149. What is the greatest common factor of 1271 and a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**4 - 9*f**2 + 9*f + 5. Let j(t) = -t**4 + t**2 - t - 1. Let x(h) = 2*b(h) + 18*j(h). Find the first derivative of x(n) wrt n.\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 10\/21263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-2 - (-6 + 4))) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22165 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**3\/3 + 6*x**2 - x + 8. Is 13 a factor of q(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + -19 + 13\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9823 is divided by 9365?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -32 (b) -2 (c) -59 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 3*x - 2. Let f be h(-8). Is 24 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -20. Calculate the remainder when 39 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 397 + -397. Let c(t) = -t**3 - t**2 - 6*t + 21. What is the remainder when 133 is divided by c(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38464 and 4822424.\nAnswer: 38579392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 + 9*t**2 + 49*t**3.\nAnswer: 49*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*b + 14*b + 781. What is the derivative of 4*h + 4879*h**4 - 4876*h**4 + h + b wrt h?\nAnswer: 12*h**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75751 or -378762\/5?\nAnswer: -75751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24000 - -24010. Let a(p) = 13*p**3 + 2*p**2 - 1. Let v be a(1). Let d be ((-8)\/v)\/(6\/(-21)). Solve -2*j + j + d*n - b = 0, j - 20 = -4*n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**3 - 6*d**2 + 6*d + 2. Give o(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.06, 0.369, -2, -1\/3, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.079 * -0.12\nAnswer: -0.00948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4396780?\nAnswer: 2, 5, 219839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 1. Let h be p(3). Solve -10 = 3*b + h*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/8)*b**(-8)\/b*(b\/((b*b*b**(-1))\/b)*b)**(2\/97) assuming b is positive.\nAnswer: b**(-7049\/776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 52?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 10.2 (c) 31 (d) 1\/2 (e) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 319*w + 217*w + 214*w to the form b + p*w and give p.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2542, -2382, -2222, -2062, -1902, -1742?\n\"Answer: 160*n - 2702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -603665 (b) -1\/6 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 92994491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 3)*(0*r + 3*r - 5*r) + 0 - r + 0.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(17) + sqrt(272)*2)**2 - ((sqrt(17) + 0 - sqrt(17))**2*-3 + -2).\nAnswer: -36*sqrt(17) + 1383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 17 = -3, 3*m + k = 17576. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -9.99. Which is bigger: 0.1 or p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2620327*c - 5240647. What is y(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0288 rounded to 3 dps?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*r - 20. Suppose r*n = n + 24. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 0, -4, 13 in descending order.\nAnswer: 13, 9, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1607*v**4 - 1816*v**2 + 1816*v**2 + 2*v**3 + 1611*v**4 - 69 to the form g*v**2 + b*v**3 + o*v + s*v**4 + t and give t.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143704?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45003 = -4*p - 32665. Let i = 13217 + p. What is i rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 59570?\nAnswer: 59570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 951997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.94 + -0.06. Let g = 16 + -10. Let c = -6.3 + g. What is the nearest to -1 in -1, s, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252826079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.153137 seconds in microseconds?\nAnswer: 8153137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 6:21 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 924*b - 71148.\nAnswer: -3*(b - 154)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 23 - 14 = -3*z, -2*z = 5*k - 33. Let y = -7848 - -7932. Calculate the highest common factor of y and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3332 (base 7) to base 16.\nAnswer: 4af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**3 + 2*s. Let b(z) = 31*z**3 - 9*z. Let o(q) = -2*b(q) - 11*r(q). Find the second derivative of o(a) wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 2 + 2. Let j be s - (0 + -2 - 1). Suppose j*n - 5*c - 3849 = -849, -2*c = 3*n - 3000. What is n rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 divided by -117?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, k: 2}. Give prob of picking 1 z and 2 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74 by 1.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34011 divided by 105.\nAnswer: -11337\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**1\/a)*a*a*a*((a*a**(-5))\/a)\/a*a*a assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*b, -4*b + 59 = 5*i - 1216. What is the remainder when 260 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r + 203. Let s be d(25). Solve 4*y = -s*j - 9, -4*j - y = -6*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4861648?\nAnswer: 2, 11, 23, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9409776 divided by 5\nAnswer: 9409776\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 6. Let q be (y\/54*-3)\/(-2). Let f = -64 + 41. Put -0.3, f, q in increasing order.\nAnswer: f, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -486, 0, -1, -5 in increasing order.\nAnswer: -486, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 11*r**2 - 31*r. What is y(13)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-1580)\/990 - 4\/18?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5807 + 1190. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 498*l - 1987. Calculate f(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/((-2)\/4). Let i be (3\/(-6)*0)\/l. What is the derivative of -5*x**2 + 22 + i*x**2 + 4*x**2 - x**2 wrt x?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 58 + 269 - 215.\nAnswer: y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 170141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.28 + -0.18. Sort -5, 4, y in ascending order.\nAnswer: -5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.94 - -0.06. Let z = p + -4. Let v = z + -5. Put v, 1, 0.1 in descending order.\nAnswer: 1, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3648, -6, 4.\nAnswer: -3648, -6, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -1211) + (-33 - -28). What is the highest common factor of j and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 17913212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/8)*p*(p\/(p**29*p))\/p)\/((p**25\/p)\/p**(-2\/81)))**(2\/23) assuming p is positive.\nAnswer: p**(-34441\/7452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (863\/(-863))\/(-1*(-2)\/(2\/5))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 16. Let i(j) = 3*j - 35. Calculate 7*c(l) + 3*i(l).\nAnswer: 2*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -1)*(16 + -15). Suppose 0 = f - 3 - s. What is the tens digit of f - (-3 + -3 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70470, -281949, -634412, -1127859, -1762290, -2537705?\nAnswer: -3454104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 0*p**2 + 0*p + 1\/2*p**4 + 3 - 1\/3*p**3. Find the third derivative of y(l) wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-4)\/3*2. Calculate the remainder when 38 is divided by (2\/(-3))\/(i\/(-156)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5572*l - 9207 + 532975 = 0 for l.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -14\/37059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2479\/1780 + -14\/89. Let p = -9128575\/1713 + 5329. Let t = 67937\/10278 + p. What is the common denominator of n and t?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25272)\/(-15444) - 238\/11.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*d + 2. Let v be (d + 340\/(-8))\/(2\/(-4)). Let k = 64 + v. Is k a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + (((sqrt(510)*1)\/sqrt(10) + sqrt(51))\/sqrt(3) - ((sqrt(17) + sqrt(68))**2 + -3 + sqrt(204)\/(sqrt(36)\/sqrt(3) + sqrt(12)))).\nAnswer: -146 + 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 0 + 337*d**2 + 0 + 224*d**2 - 562*d**2. Let c(r) = -40*r**2. Determine c(t(g)).\nAnswer: -40*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, 26, -1, 1.09?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -61? (a) -3 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1459830711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012715 rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36950*c**3*j**2 + 720*c**2*j**2 + 5*c**2*j + c**2 - j**2 wrt c?\nAnswer: -221700*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*o - 51*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35515552*g*o*s**3 + 2*g*o*s**2 - 6044*g*o*s + 7*o**2*s**3 + 15872*o**2*s**2 wrt s?\nAnswer: 213093312*g*o + 42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 65\/20 - 1\/4. Suppose -10 = -4*l + 2*l. Suppose 7*h + 11 = p*h - l*q, 4*h = 3*q + 13. Are h and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237492613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/4 and 103\/81173170.\nAnswer: 162346340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, 2\/15, 0.3 in descending order.\nAnswer: 105, 0.3, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g - 12. Let n be 235\/(-15) - -8 - 2\/6. Give h(n).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2421*i**5\/4 + 6465*i**4\/2 - 17043*i**3\/4 - 1551*i**2\/2 + 2427*i - 18 = 0 for i.\nAnswer: -2\/3, 2\/269, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -12*v**3 + 8*v**2 + 49. Let i(o) = -o**3 + o**2 + 8. Determine 6*i(r) - w(r).\nAnswer: 6*r**3 - 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 71629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 8\/11 (c) -0.2 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2198*b - 61*b = -926*b - 113331 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 9:40 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5280 and 3562372.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.9 + 0.8. Round v to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2735583411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -174, -263, -354, -447, -542?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1007463976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6542826 is divided by 127?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 144, 256, 370, 486?\n\"Answer: h**2 + 109*h + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m + 3. Let a(w) = 9*w - 13 - 10 + 29. Let r(y) = 8*y**2 - 261*y - 88. Let g be r(33). Calculate g*h(j) - 6*a(j).\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 183*w**2 - 35*w**2 + 224*w**2 - 1 - 63*w**2 as x*w + c*w**2 + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3049892, -6099783, -9149674, -12199565, -15249456?\n\"Answer: -3049891*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2550, 10508, 23874, 42648, 66830, 96420?\nAnswer: 131418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 2*k**2 + 7 - 2*k**2 + 6*k**2 - k**3 + k**2. Let o be p(7). Sort o, -3, 5.\nAnswer: -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g - 5. Give t(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 - 43*t**2 - 41*t**2 as z*t + b + n*t**2 and give n.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -186*c**2*n + c*n - 49*n + 1 with respect to c.\nAnswer: -372*c*n + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/222 and -34\/333.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-24)\/(-10) + -3)*-195 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.165, 1\/71, 2\/17, 1, 0.3.\nAnswer: -0.165, 1\/71, 2\/17, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (51 - 4) + 1 + -4. Let c be ((-140)\/(-3) - 0) + y\/(-66). Suppose -c*u = -51*u + 190. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 668 * 117.\nAnswer: 78156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 7, s: 5, i: 5}. What is prob of picking 2 m?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x**2 - 10*x**2 + 11*x**2 + (-x - 2*x + 2*x)*(2*x + 0*x - x).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 60697.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10602 or -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - k + 1. Let a(q) = -91*q**2 - 6*q + 6. Let d(h) = -a(h) + 6*x(h). Let z(t) be the third derivative of t**4\/12 + 24*t**2 + 4*t. Give z(d(n)).\nAnswer: 194*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = i - 8. Does 12 divide ((-7)\/((-7)\/i))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let q = z - 5. Let h = q + 9. Which is the third smallest value? (a) h (b) -0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11, -60, -139, -248?\n\"Answer: -15*a**2 - 4*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(5)*4 - sqrt(5)) + sqrt(5) - (sqrt(35)*-2)\/sqrt(7))*3.\nAnswer: -3 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 294.4029 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u**3 + 2*u**2 - u. Let s(m) = -m**2 - 2*m + 1. Let b be s(-2). Let v be h(b). Let d be 825998\/v + 4\/14. Round d to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 180378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esssd. Give prob of sequence essd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*((-64)\/(-110) - (-12)\/(-66)). What is the hundreds digit of ((-3)\/f)\/(16\/((-25792)\/(-6)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65826.9772 to the nearest integer.\nAnswer: -65827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -48. Let f(k) = k**3 + 16*k**2 + 16*k + 22. Let v be f(-15). Which is the closest to v? (a) 5\/2 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 7:36 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**2 + i. Let g(y) = -6*y**2 - 8. Let q(o) = -2*o**2 - 2. Let z(t) = -g(t) + 4*q(t). Determine p(z(u)).\nAnswer: -16*u**4 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - d - 17. Suppose -4*c = -8*c - 6*c. Calculate f(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*g**2 + 7*g**3 - 103*g**2 - 18*g**3 + 5*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 9:23 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1160 and -61\/80.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 9:56 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o - 816 = 46 - 159 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 5*v - 2*v. Let d(g) = -78*g**2 + 14*g + 28. Let z(r) = -1742*r**2 + 312*r + 624. Let n(o) = -156*d(o) + 7*z(o). Determine n(y(u)).\nAnswer: -650*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 0 - 7\/2*q**3 - 10*q**2 + 10*q. Find the first derivative of n(u) wrt u.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(((-1)\/(-4))\/(5\/(-10))). Solve 8 - 4 = z*y + 5*t, 0 = t for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-16 - (12 + -12)) + -5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 4:49 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -45710*v**4 + 22871*v**4 + 22851*v**4 - 132*v + (3*v**3 - 2*v**3 + 4*v**3)*(2*v + 0*v - 3*v) as q*v**2 + c*v**4 + m*v + g*v**3 + x and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = 35*j - 13932. What is the highest common factor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4434 (base 6) in base 7?\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13 - -3)*(-12)\/(-3). Let k = z + 47. Calculate the lowest common multiple of (5 + 0)*(-8)\/(-5) and k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*w - 1131*w = 331*w + 283*w + 153153 for w.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -385*u**4 - 86 - 210*u + 53*u**4 + 207*u - 2*u**2 - 9*u**3 wrt u?\nAnswer: -7968*u - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-130))\/((-1)\/(-1))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (17 + 3 + 6 - (-5 - 2)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*y + 73 - 6 = 54*y - 2*g, -9*y + 7*y = 9*g - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3694*d**3 + 1941*d**2?\nAnswer: -22164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 30 + 8 - 2*a + 16.\nAnswer: -2*a + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 12:40 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 16) to base 9.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 4*z**2 + 3*z + 2. Suppose 3*b = -3*j - 9, 3*b + 24 = -j + 11. Determine m(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (6 + -9 + (3 - 22)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 129.114479 to 1 decimal place.\nAnswer: 129.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 41. Let x(s) be the first derivative of -7\/8*s**4 + 1\/2*s**5 + 0*s**2 + 0*s + k + 1\/3*s**3. Factor x(l).\nAnswer: l**2*(l - 1)*(5*l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -960*d - 11923 = 191*d + 12248 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -436 (base 11) to base 15\nAnswer: -24d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*m - 908 - 3348. Calculate the greatest common factor of m and 329.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*z - 21 - 9 = 0, 4*c + 2*z + 6 = 0. Suppose 0 = s - 4 - c. Suppose f + 1 = s. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*c = 0, 0 = 2*z - 2*c + 9 - 21. Suppose 4 = z*r - r. Let 640*q**r + 6 - 22 - 4*q**4 - 620*q**2 = 0. Calculate q.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + c - 6)*(-12*c + 43*c + 16*c) - 32*c**2 - 334 + 334 to m*c + o + v*c**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**5 - 213467*w**4 + 23*w**3 + w**2 + 475*w + 1641 wrt w.\nAnswer: -120*w**2 - 5123208*w + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 - 72. What is the closest to -0.1 in y, -2\/15, 1\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 371434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-83 - 52794\/(-630)) + 222\/10.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from {f: 9, w: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1216)*-1*3)**2 + 1 + -2 + ((4*(sqrt(1216) + sqrt(1216)*-1 + sqrt(1216)))**2 - (1 + sqrt(1216))*5).\nAnswer: -40*sqrt(19) + 30393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*d**2 - 133 + 133 in the form m*d**2 + h*d + q and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -895470 (base 10) to base 3\nAnswer: -1200111100120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43664881987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 636056960 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**4*c + 24*b**3*c*h - 121*b*c - 87777*c*h wrt b?\nAnswer: 4*b**3*c + 72*b**2*c*h - 121*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615848922.\nAnswer: 2, 3, 13, 2631833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11975\/6 - -9958\/5. Find the common denominator of 101\/78 and y.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/23)\/q)**31*q*q**(-6)*q*q*(((q\/q**(-4\/5))\/q)\/q)\/q*q*q assuming q is positive.\nAnswer: q**(-563\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -149504\/55 < -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2491402\/5 + -498268. What is y in b*y + 2\/5*y**2 - 64\/5 = 0?\nAnswer: -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**3\/3 + 5*b**2\/2 - 50*b - 4273. Let o(g) = 0. Calculate g.\nAnswer: -10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, h: 7}. What is prob of sequence htht?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5 + 22*m**4 + 123*m**3 + 290*m**2 + 308*m + 120.\nAnswer: (m + 1)*(m + 2)**3*(m + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 - 13578*o - 27154.\nAnswer: -(o + 2)*(o + 27154)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(4\/5)\/t)\/t*t\/t**(4\/19))**(11\/3) assuming t is positive.\nAnswer: t**(-143\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + 42. Suppose 0 = -5*d - 26 + t. Solve -5*l = 20, -4*l = 4*y + l + d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6835?\nAnswer: 5, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441576378?\nAnswer: 2, 3, 19, 1291159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(162) + -5 + -1)**2*-6*-4*-3*-2.\nAnswer: -46656*sqrt(2) + 215136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3))**(-17\/3) assuming m is positive.\nAnswer: m**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -d - o - 1, 5*o - 15 = 0. Suppose -5 + 1 = l + 2*i, -i = d*l - 7. Let g(u) = -u + 1. Let h be g(-8). Solve j = -l*j + h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/32)\/((0\/(-3) + 1)*2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*l**4\/7 - 3054*l**3\/7 - 90756*l**2\/7 - 16400*l\/7 = 0. Calculate l.\nAnswer: -25, -2\/11, 0, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1053)*-1*-5.\nAnswer: 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59306164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 5, 405, 2, -3.\nAnswer: -3, 2, 4, 5, 7, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 604*i - 23295 - 336 + 1283 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (9 - 4) - (7 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 1, -3*k + 131 = 5*f. Suppose -1188*w = -1193*w + 30. What is the highest common factor of k and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 530, 1049, 1568, 2087, 2606, 3125?\nAnswer: 3644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*s + 68 = -149, b + 3*s - 107 = 0. Suppose -b*y = -111*y - 120. Calculate the greatest common divisor of y and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1406 + 1816 = 71*b - 4560 for b.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5956, -5955, -5954?\n\"Answer: n - 5957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5*f + 596, -5*s + 3*f + 606 = -2*s. Suppose 0*d - 3*d = -s. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 13*d. Let q(k) = -235*k + 2. Calculate q(g(x)).\nAnswer: -3055*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a2 - 2?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581*f = -584*f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26\/3 + -8. Sort u, -2\/3, -5 in decreasing order.\nAnswer: u, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + s + 28. Solve w + 2*x = -s*w - 6, 6 = -4*w - x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (28*8)\/(-2). Let j = -391 - z. Let x = j + 811. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -18*t**2. Let g(q) = -327*q. Determine u(g(h)).\nAnswer: -1924722*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*((-133)\/21)\/(-19). Put -3067, 1, -4, f in increasing order.\nAnswer: -3067, -4, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 9:30 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14024 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.844 + 4.71038673.\nAnswer: 3.86638673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 24 = 3*b - 23*i, 2*i = 4*b + 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 920 divided by 2\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 58\/18 + (-4)\/18. Find z such that z**o + 9*z**2 + 1 - 7*z + 13*z + 3*z**3 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*r**5 - 2*r**4 - 126*r**3 + 2*r**2 + 54 wrt r?\nAnswer: -300*r**2 - 48*r - 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7*(4 - 11). Suppose 2*a + w = 1094, 2*a - 3*w - 1090 = -u*w. Let s = 1071\/2 - a. Find the common denominator of s and 39\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:58 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2736 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 2:09 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3486)\/(-25564))\/((-5)\/(-1870))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = -1, u - 4*x = 8. Let v(t) = t - 3*t**2 + 9 - 2*t + u*t**2. Let n be v(0). Solve 0 = -f + 4*f + n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-10) + 156\/30. Suppose 4 = -d*x - 5*q + 29, 2*x + q - 8 = 0. What is the remainder when 7 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-5))\/((8\/(-16))\/((-10)\/(-8))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o**2 - 4 + 6 - 6*o - 1 - 3*o + o**3. Let y be j(-9). Suppose 4*t = m - 178, 2*t = t + y. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1514155 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1394 is divided by 212?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = j - 3*j - 7*x, 0 = -3*j + 3*x + 144. Calculate the greatest common divisor of 1232 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435985447?\nAnswer: 23, 3511, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 - 5*q**2 + 32*q**3 + 47*q**3 - 75*q**3 + 1810*q.\nAnswer: 4*q**3 + 1810*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 946267792 to the power of 1\/2, to the nearest integer?\nAnswer: 30761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*i - 3*i, 3*i = -5*x - 11. What is the tens digit of i + (-1)\/((-2)\/62)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 12*h**2 - 3*h + 406. Let j(u) = -5*u**2 + 2*u - 204. What is -5*j(a) - 2*p(a)?\nAnswer: a**2 - 4*a + 208","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 6*r**2 + 5*r + 3. Let x be g(5). Suppose -3*q - 5*u = 15, -x = -2*q + u - 0*u. Solve q = -2*i + 2 - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24409 - 24409. What is the second smallest value in -123, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*l + 3*c - 36, -2*l + 3*c = -8. What is the highest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682524563.\nAnswer: 7, 23, 883, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -5, 6, 121.7, 2, -2\/5, -4\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 612273041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + t. Let x(j) = 15*j + 4*j**3 - 16*j**3 + 108*j**2 - 11*j. Let u(k) = -4*w(k) + x(k). Find the third derivative of u(p) wrt p.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 20. Suppose 0 = -4*f + 3*z - 229, -f + p*f - 53 = -5*z. Let m = 11 - f. List the prime factors of m.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/9*504\/(-112). Let i be (7 - (8 - k)) + 39. Let d(x) = 2*x**2 + 9*x + 4. Let w be d(-7). Calculate the greatest common divisor of w and i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58 + -71 - -20) + (-3 - 18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 693087427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298784902, 298784900, 298784898?\nAnswer: 298784896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(36 + 17 - 90 + (0 + 2 - 3)*(-6 + 4 + 1) + 1 + 4 - 3 - 1 + 0 - 1)*(6 - 8*r + 8 + 14*r).\nAnswer: -216*r - 504","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**4\/12 - 7*k**3\/6 + 3*k**2 + 148*k - 8. What is o(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 3)*((0 + 3 + 3)*(4*p + 0*p - 2*p) + 2 - 2 - p - 1 + 1 + 3*p).\nAnswer: 56*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/18 and -173\/600.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j + 11. Let c be w(-6). Let b(x) = 3*x**2 - 4*x. Is b(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 2*g**2 + 2*g - 7. Let f be n(-7). Let i = f + -67. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223 less than 0.3?\nAnswer: -2222.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.09554477\nAnswer: -0.19108954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 91068161351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 156\/6630*(-187)\/(-22)*(-10)\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27938353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -3*f + 11, 3*g + 104 = 2*f + 93 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 96893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9}. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 1540802881.\nAnswer: 1540802880.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2142 + 2142.5. Which is the closest to w? (a) 4 (b) 5 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -761, -6984, -24585, -59480, -117585?\nAnswer: -204816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 2, k: 1, x: 4}. Give prob of picking 1 r and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -20, -1, 2860, -5 in ascending order.\nAnswer: -20, -5, -1, 5, 2860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.114 times -11?\nAnswer: -1.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 11:38 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-28)\/(q**(8\/5)\/q) assuming q is positive.\nAnswer: q**(-143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174864 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/5, 4, -1\/3, 25.\nAnswer: -1\/3, -0.3, 1\/5, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -55 (b) 10 (c) -182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 f when three letters picked without replacement from {p: 1, f: 1, n: 1, g: 2, x: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.71078 centuries to years.\nAnswer: 3571.078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 392*h**2*y - h**2 - 1711*h*y + 13654499*y + 3 wrt h?\nAnswer: 784*h*y - 2*h - 1711*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**2\/5 + 51510072*q\/5 - 165830469840324\/5 = 0.\nAnswer: 6438759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 97, -4, 2 in increasing order.\nAnswer: -5, -4, -3, 2, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzxz when four letters picked without replacement from {x: 9, z: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, n: 7}. What is prob of sequence vvv?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*r**4 + 3763*r**3 - 8*r**2 + 46582*r?\nAnswer: -180*r**2 + 22578*r - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, r: 2, v: 2, w: 4}. Give prob of picking 1 r and 2 v.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 10*v + 18 = 0. What is the derivative of -k**4 - v*k + 2*k - 2*k + 3*k - 91 + 25*k**3 wrt k?\nAnswer: -4*k**3 + 75*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.97*-8169\nAnswer: 32430.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 31*j - 235. Let g(x) = -76*x + 588. Let d(b) = -5*g(b) - 12*q(b). Determine d(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 4:07 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 101218210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -20*j. Which is the second smallest value? (a) -0.4 (b) 4\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127 - -133. What is the nearest to -0.1 in 3, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6) + 2\/3. Suppose 2*y = 2*q - 4*q - 2, 4*y + 2*q - 4 = 0. Let f = y - r. Solve -f*t - 3*v = -10 - 2, -4*t + 2 = -5*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 553 divide 323824135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5447374*j**3 - 7675*j**2 + 3*j + 102.\nAnswer: 32684244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*c*g + 2*c*s**2 - 12*g*s**2 - 3*g*s + 2*s**2 with respect to c.\nAnswer: 11*g + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 8*r - 6. Let h(l) = r + l**2 - l**2 - 2*l - 13 + l**2. Is 6 a factor of h(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13400 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 0. Let h be (-8)\/24 - (-20)\/6. Let s = h - 6. Which is the smallest value? (a) r (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2734513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - h + 189, 3*h = -i + 17 + 90. Does 37 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k - 21. Let c(j) = 3*j + 22. Let m(h) = 3*c(h) + 4*u(h). What is the remainder when m(-12) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 637 - 637. What is the second biggest value in 6, -94, z, -3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3006 divided by 3?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 11088 (c) -2\/679 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -0.2 (b) 0.3 (c) -0.1 (d) 402\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -4, 7, 1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 g when three letters picked without replacement from hbwbwfwjghbjhggh.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmdmllmlllammdlallqa. What is prob of sequence md?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4005071031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvorrkhh. What is prob of sequence fkh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -20 (c) 6 (d) 1 (e) -5 (f) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 42 = -32, 3*t + 24 = 3*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, 2 in decreasing order.\nAnswer: 2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 25*v + 80. Suppose 8*f - 4*f = 4*r - 28, -4*r - 4*f = -4. Suppose r = 4*l - 12. Sort 3, l, v in ascending order.\nAnswer: v, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 - 12*q**2 + 3*q**3 - 28*q**2 + 45*q**2.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -75, 10, -4, 4, -54, -1 in decreasing order.\nAnswer: 10, 4, -1, -3, -4, -54, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-10)*(-70 - 5)\/5. Suppose -36*o = -30*o + g. What is the closest to 1 in -0.4, o, 4\/3, -1\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**6\/6 - 50*s**2. Let n(i) = -4*i**3. Calculate -3*k(l) + 16*n(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1092 + 172 = 79*y. Let r(g) = g**3 - 16*g**2 + g + 23. Determine r(y).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78881 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 + 0\/(-2). Let u = -8.32 + 7.32. What is the nearest to -2 in -6, h, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5 - 2\/5*w**3 + 0*w**2 + 6\/5*w.\nAnswer: -2*(w - 1)**2*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q**3 + 51*q**2 - 49*q**2 - 1 + 2*q**3 as l*q + m*q**2 + k + g*q**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1058651*a - 529329*a - 328*a**2 - 529324*a.\nAnswer: -328*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 12:22 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**5\/60 + a**4\/24 - a**3\/6 - 3*a. Let h(d) be the second derivative of w(d). Is 4 a factor of h(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 870*t**4 - 2*t - 274?\nAnswer: 10440*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 430\/5873?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4*h**2 + 2*h**4 - 2*h + h**3 - 4*h**2 - h**2 - 4*h**2 to the form w*h + m*h**3 + f*h**4 + p*h**2 + y and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -155584 greater than or equal to -155584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4\/5073, 4\/13, -2\/47?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwwoooobwolowo. Give prob of sequence bol.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27361 - -271?\nAnswer: -27080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 1740815*c**2 - 1740775*c**2 + 1.\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10725257 (base 9) to base 6.\nAnswer: -303423341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 8:37 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 14.93. Let j(s) = -s**2 - 18*s. Let c be j(-18). Which is bigger: m or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114308 - 114308.057033. Let a = 2763.057 - 2763. Let w = z + a. Round w to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54876\/153*39\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 545 and 2769145?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1283 + 1282.8. Let f = -2.92 - -3. Let d = 0.22 + f. What is the third biggest value in -2, o, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(13) + (sqrt(13) + 4)**2 + ((4 + sqrt(325))**2 - sqrt(13)) + -2.\nAnswer: 48*sqrt(13) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 930*n + 168. List the prime factors of m(13).\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*a + 6*a - 8*a to r*a + z and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 207621 a multiple of 828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -11*m - 507. Determine s(-51).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j = -3*p, 4*j + 18 = 2*p. Let d = p + -25. Let u = d + 27. Solve -5*y = 25, u*o + 3*y - 6 = -36 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 4*d + 5 = -2, -d + 18 = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.3. Let p = -0.38 + -14.62. Let r = p - -17. What is the closest to r in k, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.39, 1, -2, 0.1.\nAnswer: -2, 0.1, 0.39, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -2110 in decreasing order.\nAnswer: 0, -4, -2110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7341064616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (40\/48)\/(1\/1143). Let m = 996 - h. Find the common denominator of m and 38\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55, 111, 169, 229, 291, 355?\n\"Answer: x**2 + 53*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-13))**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -14*n + 8. Suppose -2*p - 30 = 3*p. Let y be l(p). What is the greatest common factor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*i - 25. Suppose 5*p - 108 = i*p. Suppose p - 11 = 5*k. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 2, -3\/5 in increasing order.\nAnswer: -1, -3\/5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -6 - 3, 2*x = -a + 15. Suppose -5*f = 64 - x. Calculate the smallest common multiple of 6 and (-101)\/f + 4\/(-22).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1435 and 24108.\nAnswer: 120540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.6 - -7.6. Which is the closest to 0.1? (a) 1 (b) -1\/4 (c) 17\/3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1444090 is divided by 879.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 2) + 8 + (3 - -7) - (18 - 13)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -135009, -267910, -400813, -533718, -666625, -799534, -932445?\n\"Answer: -j**2 - 132898*j - 2110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 794876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -358*c**4*r - 1291*c**2*r**3 + 8*c*r**2 + 202*c - 849*r**3 - 2*r**2 wrt c.\nAnswer: -4296*c**2*r - 2582*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 + 91. Let h = -2 - -1. Put h, k, -2\/9 in decreasing order.\nAnswer: -2\/9, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36124470 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -6. Let m be ((-16)\/(-12))\/(p\/(-3)). Let t = 6 + m. Sort 1, t, 0 in descending order.\nAnswer: t, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - (-112)\/(-21))\/((-1)\/15). Suppose g*h = 2*c + 3449, 0*h + 2*h - 1388 = -2*c. What are the prime factors of h?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**2 - 11678134*h + 19465670?\nAnswer: 2*h - 11678134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 4*p**2 - p**2)*(-40 + 9 + 5).\nAnswer: -52*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 3 = -x, 23*f - 5*f - 7 = 4*x + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 4*c - 2*c + 40 + 14*c. Let w be t(-21). Suppose -4*s = -3*u - 847, -w = -s + 5*u + 88. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, v: 5, k: 3}. What is prob of sequence kt?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 197017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(-1 + sqrt(704)))**2.\nAnswer: 96*sqrt(11) + 6340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/2256954 and 52\/1377?\nAnswer: 60937758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 8:34 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/480 and -61\/10.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -147, -208, -257, -294, -319?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3)\/j)**(-2\/29)*j**5\/j*j*(j*j*(((j\/(j*j*j\/(j**(-4)*j)))\/j)\/j)\/j)\/j)\/(j**(-4\/9)*j**(1\/7))**35 assuming j is positive.\nAnswer: j**(2245\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.521 (b) -3\/7 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/((-3)\/(-6)). Let n(q) = q. Let z be n(-2). Put z, 4, v in decreasing order.\nAnswer: 4, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**4\/3 - 206*l**3\/3 + 100556*l**2 + 21070616*l\/3 + 360912448\/3 = 0.\nAnswer: -632, -34, 494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 867879391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((0 - 0) + 36\/4)*1. Differentiate -46 + 22 + 56*i - m*i with respect to i.\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-8) - 429\/(-52). Calculate the common denominator of 75\/(-24) + 1\/s*2 and 95\/3*(-8)\/30.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 481073*i**6 - 5*i**5 + 3847835*i**2 + 3*i wrt i.\nAnswer: 57728760*i**3 - 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33414 - 267339\/8. Calculate the common denominator of 6\/(-608)*(-164)\/6 and i.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 m, and 1 d when three letters picked without replacement from dydmmu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 0.4, 1226, -0.5 in descending order.\nAnswer: 1226, 0.4, -2\/19, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -3.8, 2\/941?\nAnswer: 2\/941","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 2*g**2 - 4*g - 3. Let q be ((-18)\/(-12))\/((-6)\/8). What is the units digit of l(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 5:15 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/25 and 51\/190.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -42*o + 0*o**3 + 0*o**2 + 0 - 1\/6*o**4. Let b(l) = 3*l. Give b(a(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -25 (b) -1\/30 (c) -0.2 (d) -2\/3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/3868 and -97\/12808?\nAnswer: 12385336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -16*w - 6. Let c(o) = -3*o - 1. Let l(z) = -24*c(z) + 4*q(z). Give l(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10274 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 152841*n**3 - 399883 wrt n?\nAnswer: 458523*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52127\/4398 - 14\/733. What is the common denominator of -17\/11 and k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 1)\/3*7 + 5427\/(-495) + 4.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1804 = 219*k - 224*k - r, -r = -4. What is the least common multiple of 2 and k?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(0 - (-2)\/(-4)). Let z be (-1 - -1) + (a - -10). Is (-87 + z)*(-65)\/39 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 11:14 PM and 8:58 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 + -14)\/(-11))\/((-1)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - 8.05. Let y = 1\/42395 + 139988279\/466345. Let q = 300 - y. Which is the second biggest value? (a) -5 (b) q (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 1\/6*m**4 + 0 + 0*m**3 - 5*m + 0*m**2. Let a(h) = 0*h + 2*h - 7*h. Give a(f(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -2*f + 24, -14655*f + 30 = 5*u - 14650*f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 934518337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-50)\/(-4)*(-144)\/(-45). Suppose -31 = -l + s. What is the remainder when l is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*m + 10*a*t**2 - 2*m*t**4 + 50*m*t + 3*m + 6*t**4 wrt t.\nAnswer: 20*a - 24*m*t**2 + 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 195206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y. Let z(c) = 18160*c**2. What is z(r(k))?\nAnswer: 18160*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 521501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*-1.4\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m + 27. Let l be g(-5). Suppose l*u - 430 = 2*u. Calculate the remainder when u is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 5, 32, 93, 200, 365?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-14) - (-810)\/21. Let a = p + -193\/5. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103048409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 863 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*m + 90*m + 70 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/24 and 115\/84?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -126\/13 in -5, 24, 0.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -9*d - 21. Give h(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -6762*x + 6759*x. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 6*j + 8. Let s be p(-6). Suppose 16 = 4*f + s. Let w be (f - -4) + 3 + -2. Let q(a) = -a**2 + 9*a - 8. Determine q(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 2*q - 9. Let s = -3 - -8. Let l be g(s). Solve -3*x = -0*x + l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 150\/(-750) + 182\/10. Solve 3*a - 18 = 3*t, 2*t - d*a = -22*a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-15))\/(((-30)\/(-100))\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*i**2 - 19*i**4 + 18*i**2)*(1 - 2*i - 1).\nAnswer: 38*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 5*q + 7 = 0, 0 = t - 7*q - 4 + 23 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (11 + -16 + 4) - (-12 - -17).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/48)\/((-11)\/22). Let x(s) be the second derivative of 1\/6*s**3 + 0 + 3\/2*s**2 - 27*s + b*s**4 + 1\/20*s**5. What is x(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 16*x**3 - 54*x**4 + 23*x**4 + 3*x + x - 2*x**2 + 30*x**4 to the form i*x**4 + z*x**3 + h*x**2 + q*x + g and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3196, -12783, -28760, -51127, -79884, -115031, -156568?\nAnswer: -204495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 508348979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 23*h - 8. What is i(23)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 14*r - 1. Let i = -37 - -39. Let t be (3 - 2)\/((2\/(-11))\/i). Let w be v(t). Calculate the greatest common factor of 128 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -678038.74732 - 87109.53138. Let g = 765185 + x. Let a = -36.7 + g. Round a to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 23*n**2 + 10*n - 2. Let b be u(-7). Suppose -j - 3*i = 2*i - 211, b = 5*j - 3*i. Find the common denominator of 2\/5 + j\/10 and 97\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.76632 meters in nanometers?\nAnswer: 70766320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 19*s**2. Let y(g) = -122297*g. What is y(o(f))?\nAnswer: -2323643*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 83. Let r be g(86). Let x be 153\/6*(-12)\/9. What is the closest to 1 in r, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289898562?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a*l**4 - 2*a*l**2*q + 2*a*l**2 + 49*a*q - 64*a + 2728025*l**4*q + 2*l**2*q - 5*l wrt l.\nAnswer: -96*a*l + 65472600*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + s**2 - s - 4. Let l be n(0). Let z be 6\/l*2\/(-12). Let u = -8 + 7.8. Which is the nearest to 0? (a) 4 (b) u (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1270\/3 + 410. Calculate the common denominator of p and 14\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22345163.\nAnswer: 47, 475429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 5*g = -6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10579, 21, 2, -4.\nAnswer: -10579, -4, 2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r**2 - 5*r**2 + 54*r**3 + 31*r - 9*r**3 - 4*r wrt r?\nAnswer: 270*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 83544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1481 + 789. Let h be t\/(-6) + 2\/(-6). Let d = -1264\/11 + h. What is the nearest to 0 in d, -2\/11, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-4)\/6 - 0. Let k(y) = -y**3 + 11*y**2 + 2. Let p be k(11). Let v = p - c. Which is smaller: v or 2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 7 = 25. Calculate the remainder when 23 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -35*w + 153 + 112. Solve -w*h - 3*v - 16 = -v, -4*v = -3*h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 4*a + 2*a**2 + 5*a. Let t(u) = 9*u. Give t(p(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-9)*f))\/(f*f**(1\/3)) assuming f is positive.\nAnswer: f**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-6))\/(0 - 4 - 310\/(-76)). Let y(c) = -5*c**3 + 6*c**2 + 4. Let h be y(-5). What is the highest common factor of n and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 31*i**2 - 2*i + 23. Suppose -341 = 23*z - 12*z. What is the remainder when 252 is divided by f(z)?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1762388*d**2 + 278321*d wrt d?\nAnswer: -3524776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 6. Let s be 2\/l*0\/2. Let a = -5 - -6. What is the nearest to s in 4, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.71771183 to 3 decimal places.\nAnswer: -6.718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by -12\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, l: 7, u: 1, h: 5, v: 1, j: 1}. Give prob of sequence hjl.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -59, -124, -207, -308, -427?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1501.461 and 146.98821.\nAnswer: 1648.44921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2882 + 31.2882. What is the smallest value in 15, r, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/38*4\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**6*u)\/u*u*(u*u**(2\/7))\/u*u\/u**4*u*u\/u**(-8)*(u*u**(2\/27)*u*u)\/u*u**(1\/8)*u**(-3)\/u**(-3) assuming u is positive.\nAnswer: u**(27949\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 16*s**2 + 13*s + 2.\nAnswer: (s + 1)*(s + 2)*(5*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 671420 and 9440?\nAnswer: 5371360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10069 - -10118. What is the remainder when d is divided by 43?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/11 + 166*j\/11.\nAnswer: -2*j*(j - 83)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(171) - (sqrt(38)\/sqrt(2)*5 + sqrt(19))) + 3)*-1 - (-1 + (6*sqrt(171)*-2)\/sqrt(9) + 5))**2.\nAnswer: -180*sqrt(19) + 4311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98*g + 72 + 124 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647 at least as big as 1655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-109880)\/2680 + -2*(-20086)\/980?\nAnswer: -2\/245","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + 427\/(-21))\/((-3)\/9*2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16314994 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/(-72))\/((-3)\/24) + -6?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48534.\nAnswer: 2, 3, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4\/7, -12\/7, -2\/23 in descending order.\nAnswer: 4\/7, 1\/3, -2\/23, -12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 570733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, c: 1, f: 2, t: 9, z: 1}. What is prob of picking 1 t and 1 f?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54906*q**5*w**2 - 2*q**3*w**2 + 106077*q**2*w**2 wrt q.\nAnswer: 3294360*q**2*w**2 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from dnttttndndndddtdd.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -51. Let y = 40 + -62. Let j be ((-56)\/6)\/(y\/297). Calculate the highest common factor of h and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 less than 45564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = -5*w - 53, w + 96*h - 17 = 99*h. Which is the third smallest value? (a) w (b) 0.3 (c) 45 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837 a factor of 21657375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 368049?\nAnswer: 2208294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4078 = 3*o - 5*r, -2*o + 2*r = -2*r - 2718. Suppose 97*i - 98*i + o = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2284 is divided by 758?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -60, -130, -228, -354, -508?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22319628*b**3 - 114110*b**2 - 51 wrt b?\nAnswer: 133917768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 15) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.13 at least as big as -0.00412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -84292560 to the nearest one hundred thousand.\nAnswer: -84300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**5 - 5*f**2\/2 + 2. What is the second derivative of l(x) wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40190000 to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(13) - (sqrt(13) + -1)**2) - (sqrt(1053) + 1).\nAnswer: -6*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 2*f - 6. Let l be i(5). Suppose -3*y + 3 = -l. What is the second derivative of -2*h + 2*h - 5*h**y + 4*h wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -12. Sort 2, v, 1 in decreasing order.\nAnswer: 2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 2*c + 5*c + (4 - 3 - 3)*(-2*c + 2*c + c))*(-c - 2*c + 4*c)*(-316 - 146 + 281).\nAnswer: -362*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 120 + u - 120 + u**2 - 2*u**3 - 3*u in the form c*u + m*u**2 + l + i*u**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 2 - sqrt(605)) + 2 + 0 - (sqrt(605) - 6*(-4*sqrt(605))**2)*-1.\nAnswer: -58076 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/5? (a) 2237 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.5 + -2. Let s = -0.008 + -0.092. What is the nearest to 1 in n, 4\/3, s?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -549.8101 - 10581.1949. Let f = -11165 - l. Let a = f + 34. What is a rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2430 and 105138?\nAnswer: 1577070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -8. Let m(r) = r**2 - 25. Let x be m(-8). Suppose 3*w = -q - 2*w - 1, q - t*w = x. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 878.1 + -839. Let w = i - 39. Put -0.2, 4, w in ascending order.\nAnswer: -0.2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -6) + (756\/156 - 11). Suppose -36*k = 31 + 5. Let c = -947\/7 + 135. Put c, k, x, -0.3 in ascending order.\nAnswer: k, -0.3, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 254, 261, 272, 287?\n\"Answer: 2*g**2 + g + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from wnnggggggqgnwgggggsp.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from eezeooozeoeeeeeezeee.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 0*g + 1\/40*g**5 - 1\/8*g**4 + 0*g**3 - 1\/720*g**6 + 11*g**2 + 0. Let q(i) be the second derivative of s(i). What is q(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-416))\/(954\/46216) - 6\/8?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519*m + 19*m**3 - 35*m**3 + 12*m**3.\nAnswer: -4*m**3 + 519*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1190113, -2380252, -3570391?\n\"Answer: -1190139*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9170.\nAnswer: 2, 5, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**7\/g*(g\/(g\/(g\/g**1)))\/g*(g**(-2\/3))**(-19) assuming g is positive.\nAnswer: g**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 7*c**2 + 2. Let s be h(-7). Suppose 3*b + 5*u = b + 74, -5*u - 86 = -3*b. Suppose s*n + 2*n = b. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 - 120. Let v = d + 7. Suppose -54 = -v*q + 261. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -535, -576, -633, -706, -795, -900, -1021?\n\"Answer: -8*c**2 - 17*c - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (305\/732)\/(150\/20).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474 not equal to 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146.06 - 294.5. Let m = 150 + i. Round m to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70586 + -11077. What is the ten thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - n - 101640*n**3 + 24941*n**3 + 5 - 11.\nAnswer: -76699*n**3 - n - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29779.\nAnswer: 97, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -59, 1, 26, 3, -6 in ascending order.\nAnswer: -59, -6, -4, 1, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3108828 divided by -4.\nAnswer: 777207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p + 65*p = 363. What is the remainder when 1063 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56.8 + 65. Let h = 9.2 - y. What is the third biggest value in 10, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2150, -2157, -2168, -2183?\nAnswer: -2202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**5\/80 + x**4\/8 + x**3\/2 + x**2 + 19*x. Suppose f(d) = 0. What is d?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2542200 divided by 285\nAnswer: 8920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-147)\/4*233\/((-538230)\/220)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8494 less than 29?\nAnswer: -8465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20416, 21022, 22032, 23446, 25264, 27486?\nAnswer: 30112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(57)*4)\/sqrt(3)*3.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 35*u**2 - 23*u - 46. Let m be z(35). Let t = 854 + m. Solve t*i - 15 = 0, i + 2 = 2*k - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/48 - 211*h**3\/24 - 121*h + 2. Factor y(a).\nAnswer: a*(a - 211)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 67\/13 + -5 + (-250)\/(-65). Differentiate 14*w**4 + 7*w**l + 31*w**4 - 5 - 6*w**4 wrt w.\nAnswer: 184*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 6*m + 3. Suppose 3*x + 1 = -8. Let g(q) = -2*q - 2*q + 3*q + 2 - 1. Let v(z) = x*g(z) - o(z). What is v(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5\/2)\/(l\/(l**(2\/23)\/l*l*l)))**(-1\/9)*l\/(l**(-3)\/l*l)*l*l**(2\/5)*l*l**(-2)\/((l*l\/l**3*l)\/l*l) assuming l is positive.\nAnswer: l**(3221\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + ((5 - (-1 + -3)) + -3 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-10 - 7) + 15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**3 + 3*a**2 + a. Suppose -6 = d - 4*d, -4*h + 5158 = 5*d. Let b(m) = 4*m**2 - 5*m**3 + h - 1287. Determine -3*b(i) + 4*y(i).\nAnswer: -i**3 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162332.\nAnswer: 2, 40583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 20 = -2*o - 2*i, 2 = -i. Suppose 14*q - o*q + 1464 = 0. What are the prime factors of q?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.055658 weeks to minutes.\nAnswer: 71121.03264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 560 + -556. Suppose 2*u + 138 = 4*u - 2*p, -f*p + 228 = 3*u. Calculate the highest common factor of u and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1032 - 7552930.983\nAnswer: -7553962.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 9*m**2 - 8*m - 6. Let r be u(8). Let o(f) = -f**3 - 5*f**2 + 6*f - 2. Let x be o(r). What is the units digit of (0 - x) + -3 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 258\/43*1\/(-3)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.081266504.\nAnswer: 0.40633252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -161 - -163. Suppose -3*l = -4*l - 4, -1646 = -2*i - g*l. List the prime factors of i.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-6))\/(5\/(-20)))\/((-2356)\/(-93))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from axlcxaxlcxzxlxlax.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.56 - 0.04. Let x = 0.9 + v. Let p = 247315 + -2720467\/11. What is the nearest to 0.2 in -5, x, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(390)\/sqrt(10))\/sqrt(3).\nAnswer: -5 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-3)*x)*x**(4\/3)\/x*x\/(x*(x*x**(-8)*x*x)\/x)*x**0\/x)\/((x*x**1*x)**(-4\/11)*x**(-8)*x**(-7)) assuming x is positive.\nAnswer: x**(773\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Let v(t) = -2*t - 7. Let o be v(-6). Let c be o + -5 + (1 - -7). Solve -5*y - n = -4*n - 22, 2*y - c = n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2522)\/8 + (-11)\/(-44). Let t be (-237)\/c - 4\/5. Let i = 4\/11 + -2\/11. What is the biggest value in i, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:52 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23408 by -3344.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/8, -6, 190615?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1233843324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from {z: 6, w: 4, j: 4, t: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3096, -13038, -29784, -53286, -83496, -120366, -163848, -213894?\nAnswer: -270456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 705500 and 276250?\nAnswer: 4250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 285514142 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0335 + -1.1665. Let m = 0.36 + -0.06. Which is the nearest to x? (a) m (b) 1\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1442 - 4400?\nAnswer: -2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 150926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 3*q - 7*q)*(-4*q + 4*q + 11*q).\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 136, -19479 in increasing order.\nAnswer: -19479, -2, 4, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**3*m**2 - g**3*m - 15*g**2*m - g*m**2 - g*m + 30*g wrt g.\nAnswer: -18*g*m**2 - 6*g*m - 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/43 in -5\/3, -2\/11, 0.5, 0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10090, 9437, 8342, 6799, 4802, 2345?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2)*-7*(-4)\/280?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 160*j - 215. Calculate the lowest common multiple of 45 and n(2).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by -227772?\nAnswer: -17\/56943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10.8? (a) 2\/931 (b) 4 (c) 5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100101 + 11010?\nAnswer: -110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240 and 86?\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n**5\/11 + 1002*n**4\/11 + 9090*n**3\/11 - 8122*n**2\/11 - 180*n = 0. Calculate n.\nAnswer: -90, -11, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 6111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 5*b**2 - 6*b + 9. Let l be v(4). Sort -2, l, -3 in ascending order.\nAnswer: -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 9*g - 0. Let r be 95\/75 + g\/(-9). Do 1 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 20*z**2 + 24*z**2 + z.\nAnswer: 44*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -830004 divided by -861?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, t: 3, j: 3, d: 1, m: 1}. What is prob of picking 3 t and 1 d?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45553*a**2 - 7419 wrt a.\nAnswer: -91106*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 17. Let d(t) = -23*t**2 + 39*t. Let z(k) = -7*k**2 + 13*k. Let h(l) = -5*d(l) + 16*z(l). Determine m(h(u)).\nAnswer: 3*u**2 + 13*u - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = -6 - 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) - (-6368)\/24. Suppose -h - 796 = -2*j + l, 0 = 3*j - 5*l - 1600. Suppose 2*x + j = 2*s, -3*s + 3*x + 530 = -s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/211869 and -89\/2832.\nAnswer: 3389904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 3 + ((-88)\/(-308))\/(3 - (-309)\/(-105))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, -640, 5, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 263960783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7403bb (base 13) in base 11?\nAnswer: 1594043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001001110111 (base 2) to base 14.\nAnswer: -799d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 4*r + 9. Let t be z(5). Let s be 0\/(t - 2) + 2. Suppose -4*d = -f, -5*f + 15 = s*d - 7. Solve f*j - 7 = 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -193\/3 + 66. Let w(d) = -d**3 - 2*d**2 + 3*d. Let r be w(-3). Factor r - o*c**2 + 2\/3*c.\nAnswer: -c*(5*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113316319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 42. Solve 2*a + 10 = -5*x + 7*a, 0 = -5*x - i*a - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91 + 94*h**4 + 98*h**4 - 84*h**4 wrt h?\nAnswer: 432*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 0.06, -0.9, 0.5, 4\/9, 4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4296 divided by -4\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/2226 and 115\/13342.\nAnswer: 2121378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -314.81 - -315. Which is the nearest to 0? (a) g (b) 5 (c) 2\/15 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6165903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aiukuiikaikk. Give prob of picking 3 i and 1 k.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(57) - (sqrt(57) + sqrt(114)\/sqrt(2)))*2)\/(2*sqrt(363) - sqrt(3) - (sqrt(3) + 3*sqrt(9)\/sqrt(3))).\nAnswer: -6*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3488, -441, 3, -17, 2.\nAnswer: -3488, -441, -17, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -62. Let h(k) = k**3 + 1. Let b(p) = 5. Determine w*h(d) - b(d).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3622 + y**2 + 3727 + 98*y + 8*y.\nAnswer: (y + 1)*(y + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2088\/609 + 9\/(-21). Let t(x) be the third derivative of 21*x**2 - 5\/36*x**4 + 0*x - 1\/90*x**5 + 0 - 4\/9*x**h. Factor t(d).\nAnswer: -2*(d + 1)*(d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 12*b - 4 = 16*b, 4*b = -4*f. Solve -198*u = -196*u - f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 5*n - 15 - 5, -4*m - 2*n = 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 44 = -4*k, -4*x + 5*x - k + 7 = 0. Is 11 a factor of (-4)\/x*50 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/118899136 and 87\/28.\nAnswer: 832293952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 10*i**2 - 4*i + 3. Let c be d(-6). Let m be 16*-1 + (2 - 0). Let f = 33 + m. What is the highest common factor of c and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-1 + 0 + 3)*(-10*s**5 + s**5 - 15*s**5).\nAnswer: 48*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**1*v*v**3*(v\/(v\/(v\/(v\/v**(-1\/5)))))\/v*(v*v\/(v**2*v))\/v*((v*v**1)\/v*v\/(v**(-1\/4)*v))\/(v**5*v**(2\/11)) assuming v is positive.\nAnswer: v**(-469\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m + 18*m - 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.1 - 6.1. Let u be -3 + 0 + 2\/2. Which is bigger: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 426 by -142.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14)*(-6)\/48. Which is greater: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**5\/120 + u**4\/16 + 7*u**3\/3 + 11*u**2 - u. Factor d(f).\nAnswer: -(f - 7)*(f + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 483 + -2407\/5. Suppose 11*l - 15 - 7 = 0. Let -6\/5 - 2\/5*k**l - t*k = 0. Calculate k.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuniunicu. Give prob of sequence ucun.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - k**3 + 0*k**2)*(-3 + 0 + 33)*(-11*k + 18*k + 11*k).\nAnswer: -540*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*-2 + -3 + sqrt(39)\/sqrt(3) + sqrt(143)\/(4*(sqrt(11)*1 + sqrt(11))).\nAnswer: -39*sqrt(13)\/8 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q. Let u(h) = 307*h**2. Determine u(y(w)).\nAnswer: 1228*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Let d(b) = -b**3 - 25*b**2 + 26*b + 16. Calculate the smallest common multiple of w and d(-26).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6 = -19. Suppose -2*o = -5*i + 1 + 11, 5*o = d*i - 15. Find u, given that 6*u - 3*u**3 - 2*u**2 - 4 + i*u**2 + u**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-4*1*sqrt(90)*6)\/(sqrt(605) + sqrt(605)*-1 - -2*sqrt(5)*-3))**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/12 - 4\/3. Suppose 2 = 4*y - 2*t - 2, 0 = 4*y + 2*t - 20. Suppose -y*x - 3 = 3. Which is the nearest to -2\/7? (a) x (b) -0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 - -184\/3. Which is the third biggest value? (a) q (b) 0.02 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18479399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(136) + (sqrt(136) - -2*sqrt(136)) + sqrt(136) - sqrt(136)) - (-1*sqrt(136) - sqrt(136))*6)\/(sqrt(512) - 3*sqrt(512)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - l = -5, 5*j + 14 = -3*l - 5. Let f(v) = -54*v - 3. Does 33 divide f(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14115273 * 1.5\nAnswer: -21172909.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-4)*(12\/(-20))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 36, -849, -3, -16 in decreasing order.\nAnswer: 36, 5, -3, -10, -16, -849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.37164ng?\nAnswer: 0.00000000537164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 33*g**2 + 36*g**2 - 2*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (24 - (19 + -5))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**4\/12 - 4*c. Let b(q) = 19*q**2. Determine b(l(o)).\nAnswer: 19*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 167602036 divided by 46582?\nAnswer: 3598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/((2\/(-4))\/((-4)\/(-16))). Sort q, -5, -1, 3.\nAnswer: -5, -1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1340, -0.1, -462, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 517926*q**2 + 363679*q?\nAnswer: 1035852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*m - 1811 - 4*m + 1809)*(1 - 1 - m).\nAnswer: 93*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2491947 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 218 + -214. Let j(s) = s - 9. Let l be j(15). Find the second derivative of -3*u**4 - 40*u + 9*u**n + l*u**5 - 6*u**4 wrt u.\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 7*s + 1. Let i(n) be the second derivative of 0*n**2 + 0 + n - 1\/2*n**3. Give -2*d(h) + 5*i(h).\nAnswer: 2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 178*(-1)\/(-48) + -3. Let o = t - -5\/8. Sort 2, o, 0.5, -0.5 in descending order.\nAnswer: 2, o, 0.5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 6:32 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000024214 rounded to 7 decimal places?\nAnswer: 0.0000242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7509839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -26*r - 101. Let y be i(-4). Find the third derivative of 146*x**2 + 42*x**4 - 11*x**3 + 3*x**3 - 42*x**4 + 5*x**y + 23*x**5 wrt x.\nAnswer: 1380*x**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5\/7 - 189606*d**4\/7 + 758458*d**3\/7 + 189606*d**2\/7 - 758456*d\/7 = 0. Calculate d.\nAnswer: -94807, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -999 + -675. Let n = t - -3511. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*g + 11*g + 44. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 73 + 114*s**3 - 7*s**3 - 19*s**3.\nAnswer: 88*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(19)*1 + (-2*(sqrt(19) + sqrt(19) + 1))**2 + 5.\nAnswer: 21*sqrt(19) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 0.07885102\nAnswer: -0.02114898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w**2 + 62*w**2 - 33*w**2.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25.4 from 1306992.53.\nAnswer: 1306967.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 8 = 0, 5*u + 2*d = 2*u - 2. Sort 5, u, -1, -3.\nAnswer: -3, -1, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 12*r**2 + 1270*r - 722902. What is j(-304)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2306984860 by 1.\nAnswer: 2306984860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 5:00 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 540224.54 rounded to the nearest one thousand?\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4447506 and 317679.\nAnswer: 4447506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 8, -7*b + 2*b + 44 = 3*o. Suppose o*u = 22*u + 84. Sort -2, 5, 4, u in ascending order.\nAnswer: u, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -8 + 5 + -8 + 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8512\/8 + 1\/(-2)*6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9995, -9994, -9993, -9992, -9991, -9990?\n\"Answer: i - 9996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6 and 184.\nAnswer: 184.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbsbbbbssbbsbs. Give prob of sequence bss.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - 3 + 3)*(i - 6*i + 4*i)*(2*i + 2 - 2) to the form w*i**2 + j + r*i + g*i**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -32.7. Let r = f + 13.3. Sort 0.2, r, -3 in increasing order.\nAnswer: -3, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 2*x**2 - 4*x - 2. Let h be l(-2). Let y be 33\/h*2 + 2. Let d = -9 + y. What is the nearest to -0.3 in 5, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89811*w + 89864*w + 1802 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 43034 = 4*x, -a = -5*x + 18509 + 35279. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuh when four letters picked without replacement from {h: 8, u: 5}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1690954 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/10*1*4\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.1 + -0.1. Let o = -214139.8 - -214140. Which is the closest to -1\/3? (a) n (b) -14 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnjnccxr. Give prob of picking 1 n, 1 c, and 1 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212051 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -544 + 586. Suppose 31*x + 51 = -a. Sort x, -5, -14 in ascending order.\nAnswer: -14, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**3 + 9*a**2 + 16673*a + 16664. Give x(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -5*z + 19, -z - 389 + 372 = -5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 25286556 divided by 6321639\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 346 divide 18715964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*z - 2, -v - 4*v - z + 25 = 0. Suppose -5*f + 6 + 14 = 0. Calculate the highest common factor of v and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 57*r**2 - 15325*r - 2151. Determine m(269).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854 a factor of 625192902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69192000 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*r**4 - 328*r**3 + 252*r**2 + 552*r - 64 = 0.\nAnswer: -1, 1\/9, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 271 + -269. Let i(t) = t**3 - 2*t**2 - 3*t + 3. What is i(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 351658, 34?\nAnswer: 351658","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3545\/4748 + -4\/1187. Let h be 3\/(-9) - (-1)\/(-3). Let w = -11 - -6. Which is the second biggest value? (a) w (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(((-18)\/4)\/(-9)))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (2*(-1*sqrt(153) + sqrt(153) - sqrt(153)) + sqrt(153)))\/(sqrt(9) - 1*sqrt(9)*-6))**2.\nAnswer: 68\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2984488 - -0.306. Round i to 5 dps.\nAnswer: 0.00755","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2\/19, 0.1, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.6 and 33313979?\nAnswer: -119930324.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 92403051.68 from 2452.\nAnswer: -92400599.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*x + 4*g, 3*x + 2*x - g = 7. Let d = 69 - 64. Let s be (-38)\/(-4) + d*(-5)\/(-50). Solve 3*z - x = s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 1 c when three letters picked without replacement from ennecbq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 1675 = 1693 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1024, 1010, 990, 964, 932, 894, 850?\nAnswer: 800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 16*y**2 + 6*y + 8. Let k(q) = q**2 + q + 1. Give -g(b) + 8*k(b).\nAnswer: -8*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 3*b - 15 = 0, -5*b - 25 = 11*a - 16*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 21 + (-5 - 4) + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 116116602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9*l + 1. Let a be o(3). Let n(i) = -11*i - 25. Let x be n(-6). Let h = a + x. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 90, 77, 42, -27, -142, -315, -558?\n\"Answer: -2*j**3 + j**2 - 2*j + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*r + 5*y, -19*r + 14*r = -3*y - 12. Solve 5*z = 3*d - 0*z + 19, -5*d - z - 13 = r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 7*l**2 - 104*l**3 - 4 + 220*l**3 - 135*l**3 - 121*l**3 to o*l**3 + c*l + b*l**2 + z and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-604)\/(-453) - (-104)\/(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 k when four letters picked without replacement from ffhwwwdkkkfwwkhhwwdk?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-27)\/12)\/(-3))\/(6\/(-6)). Which is the closest to p? (a) -3\/5 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2466 + -745. Suppose -2*q - 1761 = -4*b - 7*q, -f = -4*b + 3*q. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 + 2*x + 26. Calculate the lowest common multiple of 11 and u(0).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2, -3*y - g + 14 = y. Let v(b) = 4 - y - 29*b. Let r(k) = 900*k. Let o(n) = -2*r(n) - 63*v(n). Let h(s) = -2*s**2. Determine h(o(w)).\nAnswer: -1458*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - 2 - 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17143283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 1 = n - 0, 0 = 3*n - 4*d + 3. Let t be n\/((-3)\/(-15)*1). Sort -2, t, -4 in ascending order.\nAnswer: t, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2918945 and 11\/5254101.\nAnswer: 26270505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 104968.8 months in millennia?\nAnswer: 8.7474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 40202\nAnswer: 201010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -22*k**2 + 3*k + 13. Let s(f) = 43*f**2 - 7*f - 24. Calculate 3*s(i) + 7*z(i).\nAnswer: -25*i**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4063*u**2 - 136959*u**6 + 137617*u**6 + u**5 + 6353*u**2 wrt u?\nAnswer: 78960*u**3 + 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 - 23*z**3 - 3*z**4 + z**2 + 21*z**3 to l*z**3 + c*z**4 + y*z**2 + v*z + s and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3\/7*(-14)\/4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18392 (base 16) in base 6?\nAnswer: -2043202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = 4*k - 342. Suppose -g + k = q, 5*q + 479 = 11*g - 7*g. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*v + 573, v + 821 = h + 2*h. What is the remainder when 9655 is divided by h?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57621418?\nAnswer: 2, 28810709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20575, 41295, 62337, 83863, 106035, 129015?\n\"Answer: 27*o**3 - o**2 + 20534*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**4\/3 + 2*k**3\/3 - 7*k**2. Differentiate o(v) wrt v.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0293 - 6.9707. Which is the smallest value? (a) -1 (b) 1 (c) -0.2 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -6, -0.8, -5\/4, -0.6, 4\/45?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 - 1 - 48*t**2 + 28*t**2 - 75*t**2 - 314*t**5 wrt t?\nAnswer: -18840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 5*j**2 + 5*j - 4. Let n be b(4). Let a(r) be the third derivative of -r**6\/120 + r**5\/60 - 5*r**3\/3 + r**2. What is a(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0131086 to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -134296.1 to the nearest 1000.\nAnswer: -134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297176?\nAnswer: 2, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 6*f**2 + 5*f - 22. Let m = 53 + -47. Suppose -2*x + 10 = -m*z + 4*z, z = 2*x - 11. Let r be j(x). Solve -4 - r = 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:59 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 0 + 0*h + 1\/24*h**4 - 1\/20*h**5 - 1\/6*h**3 + 1\/120*h**6 + 2*h**2. Let s(w) = -2*w - 4. Let c be s(-3). Determine j(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 9*k**2 + 7*k - 6. Let g(c) = -3*c + 1. Let v be g(3). Let w be y(v). Let a = 4 - w. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.052753 + 0.0532. What is z rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 366 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 41. Let p(m) be the second derivative of -m**4\/12 + 4*m - 1. Determine p(t(y)).\nAnswer: -4*y**4 - 164*y**2 - 1681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - 2) + 0 + -1. Let x be (-8)\/h*(-350)\/(-4). Let l = x - 37. What is the remainder when l is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/16970753 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*l**3 + 19 - 200*l**3 - 36 + 17.\nAnswer: -296*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y. Let k(n) = 17*n - 41*n - 42*n. Let m(s) = -5*k(s) - 48*x(s). Let p(z) = -z. Give p(m(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 1. Suppose 0 = -139*o + 134*o + 485. Let w(r) = -199*r**2 + 100*r**2 + 2 + o*r**2 - 2. Determine x(w(s)).\nAnswer: -4*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 306 and -48?\nAnswer: -14688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.1, 5, -1\/5, -19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 10*r**2 + 16*r - 6. Let w(d) = -6*d**2 - 65*d - 44. Let i be w(-10). What is y(i)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3919 = -43*z + 7089. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20842c (base 13) in base 11?\nAnswer: 47a726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**3*y**2 + 76516*q*y**3 + y**3 + 8*y - 3977 with respect to q.\nAnswer: -6*q**2*y**2 + 76516*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-503)\/(-12) + -4)*(-8)\/(-9600) and 7\/27.\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**5 + 3*a**5 - 180*a**3 + 2962*a - 2947*a + 217*a**2 - 460*a**2 + 630 - 227*a**2 = 0.\nAnswer: -3, -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21329.9879 times 5\nAnswer: -106649.9395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*y + 5 + 1, 0 = 2*n + 4*y - 10. Let m(x) = -x**3 - 3*x**2 - 2*x - 3. Let l(v) = -2*v**2 - 2*v - 2. What is n*l(o) - 2*m(o)?\nAnswer: 2*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12049.49 tonnes?\nAnswer: 12049490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9, 19, 29, 39, 49, 59?\n\"Answer: 10*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 5*g**4\/24 - g**2. Let q(w) be the second derivative of -2*w**4\/3 - 418*w. What is i(q(v))?\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3521189 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 9*f**2 - 4*f - 41. Let m be y(-9). Which is the closest to -0.1? (a) m (b) -0.04 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18a969c (base 14) in base 16?\nAnswer: -bacd7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 9575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -11. Suppose -5*k + 2725 = a*c, 528 = 2*k - 4*c - 562. Suppose -4*v - v - 2*r + k = 0, 2*r = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.91+106\nAnswer: 102.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -77135*x. Let q(n) = -4*n**2 - 92. Give q(m(k)).\nAnswer: -23799232900*k**2 - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -5 + (-1 - -7). Suppose -2*u - 4*l + 6 = -0*u, y*u - 15 = -3*l. What is the second derivative of -7*c**4 + 3*c**4 + u*c**4 + 3*c wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -628385?\nAnswer: -6\/628385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.174 + 0.2251789\nAnswer: 0.3991789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a. Let d(c) = c**2 + 6. Let x(h) = 2. Let m(j) = -d(j) + 3*x(j). Give g(m(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*d**3 + 2*d + 136*d**3 - 257*d**3.\nAnswer: 19*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 17*c - 3. Let q(w) = -w**2 + 18*w - 1. Let h(b) = -7*q(b) + 8*u(b). What is h(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -17. Calculate the lowest common multiple of 32 and (20\/p)\/(2\/(-16)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 6, -0.16, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/sqrt(5)*5)\/(sqrt(726) + (sqrt(726) - (5*sqrt(726) + sqrt(726) - sqrt(726)))).\nAnswer: -5*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8)*12\/(-8). Let f = -4.55 - 0.45. Sort -19, 0.2, f, a.\nAnswer: -19, f, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 170 (b) -11 (c) -73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - j. Let o(m) = 11*m**2 + m - 2. Let d(n) = o(n) + 2*r(n). Is 12 a factor of d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2555, 4835, 11111, 23381, 43643, 73895?\n\"Answer: 333*z**3 - 51*z + 2273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**4\/14 - 10*q**3\/21 - 3*q**2\/7 + 18*q\/7 - 17. Factor o(r).\nAnswer: -2*(r - 1)*(r + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*z**4 - 63040*z**3 - 9741534*z**2 - 381924*z = 0. Calculate z.\nAnswer: -309, -2\/51, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mootrtttr. Give prob of sequence toro.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1728759, 1728764, 1728769?\nAnswer: 1728774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*(sqrt(7) + sqrt(700)*2 - sqrt(7)) + sqrt(252)\/(sqrt(4)*-1).\nAnswer: -83*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 840771, 840788, 840815, 840852, 840899, 840956?\nAnswer: 841023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 128. Let u = h - 75. Sort u, -4, -0.04, 2 in decreasing order.\nAnswer: 2, -0.04, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 221 + 32 - (363 + -211).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 17*o**2 - 14*o - 20. Let l be a(15). Suppose 3*h + 23 = -2*d + 88, -5*d + l = -4*h. Suppose d = 2*m - 142. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 18. What is the units digit of 0\/w + 2 + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330 and 49170.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1 + sqrt(425))*5 - ((sqrt(425)*1)**2 + -5)) - (-3 + sqrt(425)*-1 + -4 + -1).\nAnswer: -403 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 10. Let i be b(-3). Is -5 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -12*p + 102. Let h(d) = -13*d + 100. Let o(j) = -2*h(j) + 3*k(j). Let w be o(13). Do 1\/4 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/(-35)*2\/21?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2062.1 - -1935. Let t = 314 - 174. Let m = c + t. What is m rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from pvppccccccgpgncjggp.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 246538712 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b - 10*b - 6*b)*(1 - 4 + 1) + (-3*b - 2*b + 7*b)*(-1 - 5 + 4))*(12 - 12 + 2*b**2).\nAnswer: 56*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o - 70 = 18*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i - 464 = 196. Let f(n) = -n**2 - 14*n + 20. Let s be f(-14). Calculate the greatest common factor of s and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + -1)\/((-1)\/(4 - (-5 + 5))). Solve -15 = 4*h - k, k = -28*h + 33*h + q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 10 = 0. Suppose 9 = -y*i + 47. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + ((-3)\/((-12)\/2))\/(1\/14). Solve -2*b = 2*j - x, -11 = -10*j + 11*j - 2*b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 19*u**2 + 250*u - 44. Determine m(-13).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/4*(-24 + 16). What is the first derivative of 5*v - 22*v - 9*v + x wrt v?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*j + 105*j - 41*j.\nAnswer: 134*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -w + 27. Calculate the highest common factor of 63 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, m: 2, k: 8, z: 3}. What is prob of sequence aa?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 64*k**2 + 1033*k + 136. Let z be v(-16). Sort -3, 4, 1, z.\nAnswer: z, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 584795 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -414\/5 + 1\/5*k**2 - 41*k.\nAnswer: (k - 207)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 48\/5 of a century?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 1702300?\nAnswer: 1702300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (3 + 2)) + -5 + 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/1019 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - (sqrt(77) + (sqrt(77) + sqrt(77) + (sqrt(77) - sqrt(77)*3*2) + sqrt(77) - sqrt(77))) - sqrt(77)) - sqrt(77))\/(sqrt(891)*1).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + 14 + -20 - -15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 - 2758*h + 183124. Give p(61).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-5 + 4*(sqrt(684) + 1 - sqrt(684)) + sqrt(684) + 1)*2)**2*1*1.\nAnswer: -5472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 12187450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111 - -107. Let g be 1\/(-2) - (-1443)\/6. Let y be (-1)\/u - 108\/g. Which is smaller: y or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 5*i**2 - 6*i + 3. Let b be h(6). Let y = -8 - -12. Let w(m) = -m**2 - 7*m - 5. Let j be w(-6). Solve j = y*u - b*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 2:21 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18275864*g**3 - 996067390.\nAnswer: 54827592*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079135069?\nAnswer: 1079135069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333753, 333760, 333771, 333786, 333805, 333828, 333855?\nAnswer: 333886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 3:40 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2437*n**4 + 14*n**3 - 177*n**2 - 533047*n + 2 wrt n?\nAnswer: 29244*n**2 + 84*n - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 - 18*o**3 + 324*o**2 - 356*o**2 - 13*o**3 - 2.\nAnswer: -25*o**3 - 32*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksllanncnss. Give prob of picking 1 s and 1 n.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27256*o**2 + 91*o + 31*o + 27248*o**2 + (o + 0*o + o)*(-2*o + o + 0*o) to the form t*o**2 + x + h*o and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*r + 88 = 0, -c - 49 = 3*r + 39. Is 16 a factor of (c\/(-2))\/(-2)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*a**3 - 3*a + 9*a**3 + 4*a + a**2 - 17*a**3 as k*a**3 + m*a + j + r*a**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -47. Suppose -5*p - 5*d = -120, 4*p - 53 = t*d + 49. Solve 0 = -x - 4*o + 23 - 3, 0 = -2*x + 5*o - p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l - 539 = -215. Solve -7*k = -11*k - l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.8 - 27. Let k = y - -1.2. Which is the third biggest value? (a) -2 (b) 2\/9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = 3*x + 55, 4 = 4*j. List the prime factors of (-5392)\/(-40) - -2*(-2)\/x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -626 + 146274?\nAnswer: 145446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182707 is divided by 6828?\nAnswer: 5179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - q + 4. Let m(j) = -9*j**2 - 19*j + 354. Let z(u) = 6*a(u) - m(u). Find the first derivative of z(p) wrt p.\nAnswer: 6*p + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68676442?\nAnswer: 2, 34338221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + -5 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -6*4\/(-3) - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -5*t - 14, 33*k + 19*t = 37*k - 64 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.6. Let v = -4.364 - -0.364. What is the nearest to 0.1 in 0, v, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 x, and 1 p when three letters picked without replacement from xxsxyppxsypypssp?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2203+24486582\nAnswer: 24484379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7) - (15 - 2316\/168). What is the nearest to 3 in -31\/4, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akxji. What is prob of picking 1 j and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.313548 litres to millilitres.\nAnswer: 6313.548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/16)\/((-42)\/56))\/((-3)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {z: 1, s: 1, j: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53ad35 - 1?\nAnswer: -53ad36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -174.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 2, -2\/249, -3?\nAnswer: -2\/249","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03 + 3.03. Let h = -8 + c. Let z = -4.5 - h. What is the closest to -0.1 in z, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (12 + -28)\/(1*11) and -13\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 11\/2*y**3 - 28*y + 13*y**2 + 31\/24*y**4 + 0. Let s(l) be the first derivative of z(l). Differentiate s(m) wrt m.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92104 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - -25)\/((-1)\/(-1)). Suppose 0 = z - u - 36. Is z a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41.1415 - 0.0415. What is the second biggest value in w, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -531 = -2*q - 2*o + 205, -4*o = 3*q - 1099. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*h - 827 = 0, 0 = 4*l - h - h - 830. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2699349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13460 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 8*a + 12*a + 0*a**3 - a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/168 + (-124)\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(4\/9)\/y*y*y*y\/(y*y*y**(-7))*y**1*y*y*y**(-1\/2)\/y)\/((y*y**8)\/y**4*(y\/(y**(-2\/7)*y*y))**(-19)) assuming y is positive.\nAnswer: y**(-1087\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 3 = 2*c. Let q = c + 39. Suppose 4190 = q*s - 2*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 7 + 0*s**3 + 0*s - 3\/4*s**4 + 5\/6*s**5 + 5*s**2. Find the second derivative of d(u) wrt u.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*v - 8 = -v, 8 = 5*c + 4*v. Do c and -3\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k - 46 = 44. Let z(u) be the first derivative of -u**4\/4 + 4*u**3\/3 - u**2 - u + 7. Calculate z(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14281402 to the nearest integer?\nAnswer: 3779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, 39, 110, 229, 408, 659, 994?\n\"Answer: 2*f**3 + 6*f**2 + 3*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3897695216837 + -115\nAnswer: -3897695216952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5096032 divided by -163.\nAnswer: -31264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*-6)\/((-42)\/(-4)). Put g, -2\/13, -0.1 in ascending order.\nAnswer: g, -2\/13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by -5782312.\nAnswer: 31\/2891156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + 6*u - 2. Let y be i(-5). Let k(v) = -24*v + 9*v + y*v. Let c(n) = -3*n. Calculate k(c(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11416 - -11611. What is the lowest common multiple of b and 1313?\nAnswer: 19695","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2604*u**3*w**2 - 166*u**2*w**2 - 46*u**2*w wrt u?\nAnswer: 15624*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 15*i - 10*i - 3 as q*i + h and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 10*n. Let s = -169276 + 262049. Let g(c) = 1 + s*c**2 - 92779*c**2 - 1. Calculate g(d(v)).\nAnswer: -600*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/(-23)*(-2)\/(-88))\/((-1)\/12).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6859944332 - 0.3\nAnswer: -6859944332.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 490 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 5. Suppose -b*l = -l - 15. Suppose l*u = 4*c + 15, -u = u + 5*c - 6. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 393 and 69542529.\nAnswer: 69542529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.22 - 0.03. Let f = 0.1945 - r. What is f rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 3 - 2 + (-1 - 4 + 6)*(-4 + 4 - 1))*(-2281*c + 4561*c - 1805*c) to d*c + a and give d.\nAnswer: 4750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/599 or 2\/3?\nAnswer: 12\/599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 162272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjcgjjgaggjaacjbgjag. Give prob of picking 1 g and 1 b.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01724111633 + 3400571342.78275888367. Let j = r + -3400571481.80000119. Let p = 139 + j. What is p rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 0.31.\nAnswer: -3.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -11. Suppose -s + k + 4 = 2*k, 3*k = 6. Solve -5*c + 3*f = -4*c + 16, -s*c + b*f = 22 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c + 4. Let m be r(-3). Let n = m + 4. Are -3\/5 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 2424107?\nAnswer: 2424111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = c + 101 - 116. Put 371, -5, c in ascending order.\nAnswer: -5, c, 371","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 33, 38, 45?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*q - 30. Suppose -2*l - 13 = 3*w, 9 = l - q*w - 17. Solve 4*f + 15 = -l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104600681053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38470*d = 38520*d - 950 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 217 - 217 - 464*m - 398*m**2 - 733*m**2 wrt m?\nAnswer: -2262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (196\/(-11))\/(-14)*-11.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -289.\nAnswer: -10\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 229744 + -1541352501\/6709. Are o and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -1. Let g be (-11 - -14)*b\/(-78). Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/13*481\/(-74)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29239, -30000, -31269, -33046, -35331, -38124?\nAnswer: -41425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = o. Suppose o = -t - 6 - 2. Let j = 14 + t. Solve 0 = j*y - 3*y - 4*u + 14, -4*y - 6 = u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-199)\/(-796))\/(2\/((-224)\/63))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 0.051547588.\nAnswer: 0.148452412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3222123357 - 5?\nAnswer: 3222123352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1431, 1429, 1425, 1419, 1411?\n\"Answer: -u**2 + u + 1431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-18)*-10 + (16 - 18). Let y = -8 - -7.6. Put y, 2, -2, k in decreasing order.\nAnswer: 2, k, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 962 and 92648?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82550 and 1950?\nAnswer: 247650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 64989 divided by -3?\nAnswer: -21663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.817676 micrograms in milligrams?\nAnswer: 0.003817676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*h**2*p**2 + 2*h*p**2 - 4*h*p - 39*p**2 + 7 wrt h.\nAnswer: -16*h*p**2 + 2*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - 100?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**4\/4 - 48*y**3 + 1173*y**2\/4 + 342*y = 0.\nAnswer: -1, 0, 8, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*u = -247*u - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*(sqrt(847) + 0) - (-2*sqrt(847) + -2)) + 1*(-1*(sqrt(847) - (0 + sqrt(847))))**2.\nAnswer: -11*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -503*l - 79971. Give o(-159).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2916, -5542, -7874, -9912, -11656, -13106, -14262?\n\"Answer: 147*q**2 - 3067*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24*559\nAnswer: 13416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or -15?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 718.6136 weeks to microseconds.\nAnswer: 434617505280000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -364*o - 67. What is the units digit of b(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*4 - sqrt(84)\/sqrt(3)*-1)\/((sqrt(40)*1*-3)\/sqrt(10)).\nAnswer: -17*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -5, 5 in decreasing order.\nAnswer: 5, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2 + 143 + 28*p + 313 - 483. Give z(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52541581249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osphhotjshts. What is prob of picking 1 j, 1 s, and 1 t?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36722 + 130?\nAnswer: -365a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + z**4 - 4 + (-z**2 + 0*z**2 + 0*z**2)*(-z**2 + 9*z**2 - 19*z**2).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/1216 and -31\/10176.\nAnswer: 193344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = m + 46, -2*t = -0*t + 5*m - 40. What is the remainder when 27 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkek when four letters picked without replacement from {l: 3, b: 2, k: 2, e: 2}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -42, 2\/5, 2\/9, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*s**2 + (-3 + 3 + s)*(-1 + 1 - 4*s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjjffzzjutfjttttjnn. What is prob of sequence nn?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -21*n**4 + 10*n**3 + 91. Let x(i) = 10*i**4 - 4*i**3 - 45. Let r(j) = 2*l(j) + 5*x(j). Differentiate r(t) with respect to t.\nAnswer: 32*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 31*v**2 + 654*v - 684. What is a(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + b**3 + 2*b**5 + (b - b + b)*(-b**4 + 4*b**2 - 4*b**2) + (-2*b**3 + 2*b**3 + 2*b**3)*(27*b**2 - 3 + 3).\nAnswer: 55*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**4 + 32 - 32)*(-2 - 3 + 3).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 8*v**2 + 6*v + 10. Let y be f(7). What are the prime factors of (-13)\/y*-26 + 6\/(-9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v**(-1)))**41)**(-2\/23) assuming v is positive.\nAnswer: v**(-164\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 49, 281, 0.3, -48?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -75*a + 74*a - 3*d + 7, 36 = 4*a + 4*d. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434450*c - 434398*c = -1820 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-2))\/(2\/12). Suppose 0 = -5*h + 5*q - 9*q + 94, -4*h - q = -62. Suppose -h + c = -5*u. Calculate the remainder when 1 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25222 (base 9) to base 11.\nAnswer: -11809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 11*s + 80. Suppose s*y - 3*y - 154 = 0. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4159.398 nanograms in tonnes?\nAnswer: 0.000000000004159398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -2\/5, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2556860447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 371 and 436826.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2870 = 9*s + 935. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w = -22*w - 183 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1. Let z(k) = k - 6. Calculate -3*p(h) + z(h).\nAnswer: h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from {j: 3, p: 2, w: 1, k: 1, r: 12}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-154)\/(-8))\/((-497)\/568)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + (-30)\/((-1920)\/(-352)). Let z = -5 - -5.4. Which is the closest to 1? (a) 3 (b) -2\/7 (c) z (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)*-2*-3 - sqrt(306)\/(sqrt(36)\/sqrt(6)))\/((-2*sqrt(27) - sqrt(3)) + 1*sqrt(243)).\nAnswer: 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100.97 - 100.47. Which is the second smallest value? (a) 2\/5 (b) -853 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-18))\/(-8)*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (988\/16)\/13 - 5. Suppose -z + 4*t = z, -4*t = 3*z + 10. Which is the biggest value? (a) -4 (b) -2\/11 (c) s (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6 = 3. Let u(l) = -3*l - 6. Let n be u(-4). Let h be (-130)\/140 + n\/14. Which is the third biggest value? (a) 0.3 (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 2583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/2 (b) 0.3 (c) -0.147\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}